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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Clim.</journal-id>
<journal-title>Frontiers in Climate</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Clim.</abbrev-journal-title>
<issn pub-type="epub">2624-9553</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fclim.2022.879133</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Climate</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Geochemical Negative Emissions Technologies: Part I. Review</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Campbell</surname> <given-names>James S.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1072775/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Foteinis</surname> <given-names>Spyros</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1741104/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Furey</surname> <given-names>Veronica</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1706431/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Hawrot</surname> <given-names>Olivia</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1806401/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Pike</surname> <given-names>Daniel</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1824881/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Aeschlimann</surname> <given-names>Silvan</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1832674/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Maesano</surname> <given-names>Cara N.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1740921/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Reginato</surname> <given-names>Paul L.</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1742831/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Goodwin</surname> <given-names>Daniel R.</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1807719/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Looger</surname> <given-names>Loren L.</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/76937/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Boyden</surname> <given-names>Edward S.</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/5939/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Renforth</surname> <given-names>Phil</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/528147/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Research Center for Carbon Solutions, Heriot-Watt University</institution>, <addr-line>Edinburgh</addr-line>, <country>United Kingdom</country></aff>
<aff id="aff2"><sup>2</sup><institution>The Climate Map</institution>, <addr-line>Brooklyn, NY</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Biological Engineering and Department of Brain and Cognitive Sciences, MIT</institution>, <addr-line>Cambridge, MA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Media Arts and Sciences, MIT</institution>, <addr-line>Cambridge, MA</addr-line>, <country>United States</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Neurosciences, University of California, San Diego</institution>, <addr-line>San Diego, CA</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Howard Hughes Medical Institute</institution>, <addr-line>Chevy Chase, MD</addr-line>, <country>United States</country></aff>
<aff id="aff7"><sup>7</sup><institution>McGovern Institute, Department of Brain and Cognitive Sciences, Media Arts and Sciences, Department of Biological Engineering, Center for Neurobiological Engineering, K. Lisa Yang Center for Bionics, Koch Institute, MIT</institution>, <addr-line>Cambridge, MA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Ben W. Kolosz, University of Pennsylvania, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Rafael Mattos Dos Santos, University of Guelph, Canada; Ron Zevenhoven, &#x000C5;bo Akademi University, Finland</p></fn>
<corresp id="c001">&#x0002A;Correspondence: James S. Campbell <email>james.campbell&#x00040;hw.ac.uk</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Negative Emission Technologies, a section of the journal Frontiers in Climate</p></fn></author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>4</volume>
<elocation-id>879133</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Campbell, Foteinis, Furey, Hawrot, Pike, Aeschlimann, Maesano, Reginato, Goodwin, Looger, Boyden and Renforth.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Campbell, Foteinis, Furey, Hawrot, Pike, Aeschlimann, Maesano, Reginato, Goodwin, Looger, Boyden and Renforth</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license> </permissions>
<abstract>
<p>Over the previous two decades, a diverse array of geochemical negative emissions technologies (NETs) have been proposed, which use alkaline minerals for removing and permanently storing atmospheric carbon dioxide (CO<sub>2</sub>). Geochemical NETs include CO<sub>2</sub> mineralization (methods which react alkaline minerals with CO<sub>2</sub>, producing solid carbonate minerals), enhanced weathering (dispersing alkaline minerals in the environment for CO<sub>2</sub> drawdown) and ocean alkalinity enhancement (manipulation of ocean chemistry to remove CO<sub>2</sub> from air as dissolved inorganic carbon). CO<sub>2</sub> mineralization approaches include <italic>in situ</italic> (CO<sub>2</sub> reacts with alkaline minerals in the Earth&#x00027;s subsurface), surficial (high surface area alkaline minerals found at the Earth&#x00027;s surface are reacted with air or CO<sub>2</sub>-bearing fluids), and <italic>ex situ</italic> (high surface area alkaline minerals are transported to sites of concentrated CO<sub>2</sub> production). Geochemical NETS may also include an approach to direct air capture (DAC) that harnesses surficial mineralization reactions to remove CO<sub>2</sub> from air, and produce concentrated CO<sub>2</sub>. Overall, these technologies are at an early stage of development with just a few subjected to field trials. In Part I of this work we have reviewed the current state of geochemical NETs, highlighting key features (mineral resources; processes; kinetics; storage durability; synergies with other NETs such as DAC, risks; limitations; co-benefits, environmental impacts and life-cycle assessment). The role of organisms and biological mechanisms in enhancing geochemical NETs is also explored. In Part II, a roadmap is presented to help catalyze the research, development, and deployment of geochemical NETs at the gigaton scale over the coming decades.</p></abstract>
<kwd-group>
<kwd>carbon dioxide removal (CDR)</kwd>
<kwd>mineral carbonation</kwd>
<kwd>enhanced weathering in soils</kwd>
<kwd>coastal enhanced weathering</kwd>
<kwd>biomineralization</kwd>
<kwd>ocean liming</kwd>
<kwd>climate change</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="4"/>
<equation-count count="26"/>
<ref-count count="450"/>
<page-count count="40"/>
<word-count count="34077"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Highlights</title>
<list list-type="simple">
<list-item><p>- Geochemical NETs (<italic>in situ, ex situ</italic> and surficial carbon mineralization, enhanced weathering, ocean alkalinity enhancement, etc.) are extensively reviewed.</p></list-item>
<list-item><p>- The potential role of biotechnology in geochemical NETs is given special focus.</p></list-item>
<list-item><p>- The Review (Part I) is accompanied by a Roadmap (Part II) to help catalyze development of geochemical NETs at scale in the coming decades.</p></list-item>
</list></sec>
<sec sec-type="intro" id="s2">
<title>Introduction</title>
<p>To meet the 2&#x000B0;C climate target set out in the Paris Agreement, the atmospheric concentration of CO<sub>2</sub>-equivalent (CO<sub>2</sub>eq) should not exceed 450 ppm (or 430 ppm for the 1.5&#x000B0;C target) (Spier, <xref ref-type="bibr" rid="B385">2020</xref>). To achieve this, a drastic decrease in anthropogenic emissions is required, which can be achieved through the expansion of renewable energy generation and lower emissions from land-use and land-use-change. The International Energy Agency (IEA) estimates that carbon capture and storage (CCS), i.e., capturing and storing CO<sub>2</sub> before it is released to the atmosphere, may prevent upwards of 6 Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup> by 2050 (Haszeldine et al., <xref ref-type="bibr" rid="B143">2018</xref>). In addition, negative emissions technologies (NETs) may also need to remove 10 Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup> by 2050, and 20 Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup> by the end of the century (National Academies of Sciences, Engineering, and Medicine, <xref ref-type="bibr" rid="B284">2019</xref>). These targets necessitate technologies capable of capturing, removing, and storing CO<sub>2</sub> at a large scale.</p>
<p>Carbon can be stored as organic materials, e.g., terrestrial vegetation, ocean biomass, and biochar, or as pure CO<sub>2</sub> deep underground in sedimentary rocks. However, the permanence of these storage media vary greatly, creating uncertainty and legacy issues for industry, policymakers, and regulators (Lackner, <xref ref-type="bibr" rid="B201">2003</xref>). On the other hand, carbon can be permanently stored in the form of the carbonate anion (<inline-formula><mml:math id="M1"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) in solid minerals, e.g., calcium carbonate (CaCO<sub>3</sub>) and magnesium carbonate (MgCO<sub>3</sub>), or in the form of dissolved bicarbonate (<inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) in ocean water. These forms of storage can be achieved by three main groups of technologies, commonly referred to as CO<sub>2</sub> mineralization, enhanced weathering, and ocean alkalinity enhancement, collectively referred to here as &#x0201C;geochemical NETs.&#x0201D;</p>
<p>Most geochemical NETs involve enhancing the reactions of alkaline minerals with CO<sub>2</sub> (and H<sub>2</sub>O), mimicking natural chemical weathering reactions of silicate rocks at the Earth&#x00027;s surface, which removes &#x0007E;1.1 Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup> from the atmosphere, primarily stored as ocean bicarbonate (Strefler et al., <xref ref-type="bibr" rid="B389">2018</xref>). The goal of geochemical NETs is to add considerably to this natural removal rate as a tool to combat climate change. In the last two decades, and particularly during the past few years, research on geochemical NETs has grown considerably, with many novel approaches being explored. Several companies and projects have been recently established. Though some are already operating at the kiloton (kt) scale, as a group they are, by and large, at an early stage of their development, with just a few at the pilot scale.</p>
<p>In Part I of this work, geochemical NETs are reviewed and their potential impacts and limitations discussed. In Part II, a set of projects and interventions that warrant prioritization are presented in the form of a roadmap with the aim of catalyzing the development and deployment of geochemical NETs at the scale necessary to achieve significant carbon removal.</p></sec>
<sec id="s3">
<title>Overview of Geochemical NETs</title>
<p>A geochemical NET is any technology which involves the use of substantial amounts of alkaline minerals in its flowsheet and involves enhancing the reaction of CO<sub>2</sub> and mineral alkalinity for the purpose of safely removing and storing CO<sub>2</sub> from the atmosphere as stable carbonate minerals, or dissolved ocean bicarbonate. At a fundamental level, most geochemical NETs are simply an acid-base neutralization of the form given in Equation (1).
<disp-formula id="E1"><label>(1)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mtext>Acid&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>C</mml:mtext><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mtext>H</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mtext>O</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mtext>Base&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>alkaline&#x000A0;mineral</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>Salt&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>carbonate&#x000A0;or&#x000A0;bicarbonate</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p>
<p><xref ref-type="fig" rid="F1">Figure 1</xref> conceptualizes how sources of CO<sub>2</sub> and mineral alkalinity can be combined, giving rise to various geochemical NETs. In order for such a technology to be carbon negative, it must remove significantly more CO<sub>2</sub> than it emits from its life-cycle (Fajardy and Mac Dowell, <xref ref-type="bibr" rid="B95">2017</xref>). Therefore, CO<sub>2</sub> must be removed directly or indirectly from the atmosphere, typically using renewable energy or bioenergy, rather than fossil fuel energy.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Conceptualizing many of the possibilities for geochemical NETs by combinations of CO<sub>2</sub> and alkaline minerals.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-04-879133-g0001.tif"/>
</fig>
<p>In order to create solid carbonate minerals, CO<sub>2</sub> (and H<sub>2</sub>O) must react with alkaline minerals (<xref ref-type="table" rid="T1">Table 1</xref>). Alkaline minerals are simply any natural or artificial mineral that is rich in alkaline earth metals (second column of the periodic table), particularly magnesium (Mg) or calcium (Ca), since these are far more abundant than strontium or barium, etc. (which also form stable carbonate minerals). Common Ca- and Mg-rich minerals are given in section the Common Alkaline Minerals. These minerals are found in natural igneous, metamorphic, and sedimentary rocks (section Naturally Occurring Alkaline Rocks) as well as in industrial by-products and wastes such as mine tailings, cement kiln dusts, fly ash, slag, desalination brines, etc., or minerals tailored for purpose (section Artificial Alkaline Minerals&#x02014;Industrial By-Products and Wastes, and Tailored Minerals and <xref ref-type="table" rid="T2">Table 2</xref>). Abundant silicate minerals rich in alkali metals (first column of the periodic table), in particular sodium and potassium, may be able to contribute in some geochemical NETs, but their carbonates are too soluble for long-term carbon sequestration. While other elements may also form carbonate minerals (e.g., cadmium, cobalt, copper, iron, lead, manganese, nickel, uranium, zinc) their abundance, stability, or toxicity limit their large-scale reaction with CO<sub>2</sub>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Mg-, Ca-, Na- silicate, oxide, hydroxide, aluminate, carbonate, etc., minerals typically encountered in geochemical NETs, with their Gibbs free energies (&#x00394;G<sub>f</sub>) and enthalpies (&#x00394;H<sub>f</sub>) of formation (Robie and Hemingway, <xref ref-type="bibr" rid="B347">1995</xref>), and in some cases their Gibbs free energies (&#x00394;G<sub>r</sub>) of reaction with H<sub>2</sub>O and CO<sub>2</sub>, at 1 atm and 25&#x000B0;C [calculated using data from Robie and Hemingway (<xref ref-type="bibr" rid="B347">1995</xref>)].</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Mineral</bold></th>
<th valign="top" align="left"><bold>Formula</bold></th>
<th valign="top" align="left"><bold>Molar mass (g mol<sup>&#x02212;1</sup>)</bold></th>
<th valign="top" align="left"><bold>&#x00394;G<sub>f</sub></bold><break/> <bold>(kJ mol<sup><bold>&#x02212;1</bold></sup>)</bold></th>
<th valign="top" align="left"><bold>&#x00394;H<sub>f</sub></bold><break/> <bold>(kJ mol<sup><bold>&#x02212;1</bold></sup>)</bold></th>
<th valign="top" align="left"><bold>Reaction</bold></th>
<th valign="top" align="left"><bold>&#x00394;G<sub>r</sub></bold><break/> <bold>(kJ mol<sup><bold>&#x02212;1</bold></sup>)</bold></th>
<th valign="top" align="left"><bold>&#x00394;H<sub>r</sub></bold><break/> <bold>(kJ mol<sup><bold>&#x02212;1</bold></sup>)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left"><bold>Carbonation</bold>&#x02014;<bold>aqueous</bold></td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Calcite</td>
<td valign="top" align="left">CaCO<sub>3</sub></td>
<td valign="top" align="left">100.09</td>
<td valign="top" align="left">&#x02212;1128.5</td>
<td valign="top" align="left">&#x02212;1207.4</td>
<td valign="top" align="left">CaCO<sub>3</sub> &#x0002B; CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;-&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M5"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">22.8</td>
<td valign="top" align="left">&#x02212;35.9</td>
</tr>
<tr>
<td valign="top" align="left">Chrysotile</td>
<td valign="top" align="left">Mg<sub>3</sub>Si<sub>2</sub>O<sub>5</sub>(OH)<sub>4</sub></td>
<td valign="top" align="left">277.11</td>
<td valign="top" align="left">&#x02212;4034.0</td>
<td valign="top" align="left">&#x02212;4361.7</td>
<td valign="top" align="left">Mg<sub>3</sub>Si<sub>2</sub>O<sub>6</sub>(OH)<sub>5</sub> &#x0002B; 6CO<sub>2</sub> &#x0002B; 5H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 3Mg<sup>2&#x0002B;</sup> &#x0002B; 6<inline-formula><mml:math id="M6"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">24.7</td>
<td valign="top" align="left">&#x02212;308.4</td>
</tr>
<tr>
<td valign="top" align="left">Dolomite</td>
<td valign="top" align="left">CaMg(CO<sub>3</sub>)<sub>2</sub></td>
<td valign="top" align="left">184.41</td>
<td valign="top" align="left">&#x02212;2161.3</td>
<td valign="top" align="left">&#x02212;2324.5</td>
<td valign="top" align="left">CaMg(CO<sub>3</sub>)<sub>2</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;-&#x0003E; Mg<sup>2&#x0002B;</sup> &#x0002B; Ca<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M7"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">48.6</td>
<td valign="top" align="left">&#x02212;86.2</td>
</tr>
<tr>
<td valign="top" align="left">Hydromagnesite</td>
<td valign="top" align="left">Mg<sub>5</sub>(CO<sub>3</sub>)<sub>4</sub>(OH)<sub>2</sub>.4H<sub>2</sub>O</td>
<td valign="top" align="left">546.54</td>
<td valign="top" align="left">&#x02212;5864.16</td>
<td valign="top" align="left">&#x02212;6514.9</td>
<td valign="top" align="left">Mg<sub>5</sub>(CO<sub>3</sub>)<sub>4</sub>(OH)<sub>2</sub>.4H<sub>2</sub>O &#x0002B; 6CO<sub>2</sub> &#x02014;-&#x0003E; 5Mg<sup>2&#x0002B;</sup> &#x0002B; 10<inline-formula><mml:math id="M8"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">27.9</td>
<td valign="top" align="left">&#x02212;357.6</td>
</tr>
<tr>
<td valign="top" align="left">Ikaite</td>
<td valign="top" align="left">CaCO<sub>3</sub>.6H<sub>2</sub>O</td>
<td valign="top" align="left">208.21</td>
<td valign="top" align="left">&#x02212;2540.9</td>
<td valign="top" align="left">&#x02212;2954.1</td>
<td valign="top" align="left">CaCO<sub>3</sub>.6H<sub>2</sub>O &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M9"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 5H<sub>2</sub>O</td>
<td valign="top" align="left">12.6</td>
<td valign="top" align="left">&#x02212;4.0</td>
</tr>
<tr>
<td valign="top" align="left">Magnesite</td>
<td valign="top" align="left">MgCO<sub>3</sub></td>
<td valign="top" align="left">84.32</td>
<td valign="top" align="left">&#x02212;1029.5</td>
<td valign="top" align="left">&#x02212;1113.3</td>
<td valign="top" align="left">MgCO<sub>3</sub> &#x0002B; CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;-&#x0003E; Mg<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M10"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">22.5</td>
<td valign="top" align="left">&#x02212;54.1</td>
</tr>
<tr>
<td valign="top" align="left">Monohydrocalcite</td>
<td valign="top" align="left">CaCO<sub>3</sub>.H<sub>2</sub>O</td>
<td valign="top" align="left">118.11</td>
<td valign="top" align="left">&#x02212;1361.6</td>
<td valign="top" align="left">&#x02212;1498.3</td>
<td valign="top" align="left">CaCO<sub>3</sub>.H<sub>2</sub>O &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M11"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">18.8</td>
<td valign="top" align="left">&#x02212;30.8</td>
</tr>
<tr>
<td valign="top" align="left">Nesquehonite</td>
<td valign="top" align="left">MgCO<sub>3</sub>.3H<sub>2</sub>O</td>
<td valign="top" align="left">138.38</td>
<td valign="top" align="left">&#x02212;1723.8</td>
<td valign="top" align="left">&#x02212;1977.26</td>
<td valign="top" align="left">MgCO<sub>3</sub>.3H<sub>2</sub>O &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; Mg<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M12"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2H<sub>2</sub>O</td>
<td valign="top" align="left">5.4</td>
<td valign="top" align="left">&#x02212;47.5</td>
</tr>
<tr>
<td valign="top" align="left">Sodium carbonate</td>
<td valign="top" align="left">Na<sub>2</sub>CO<sub>3</sub></td>
<td valign="top" align="left">105.99</td>
<td valign="top" align="left">&#x02212;1045.3</td>
<td valign="top" align="left">&#x02212;1129.2</td>
<td valign="top" align="left">Na<sub>2</sub>CO<sub>3</sub> &#x0002B; CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;&#x0003E; 2Na<sup>&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M13"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;29.9</td>
<td valign="top" align="left">&#x02212;51.9</td>
</tr>
<tr>
<td valign="top" align="left">Thermonatrite</td>
<td valign="top" align="left">NaHCO<sub>3</sub></td>
<td valign="top" align="left">124.01</td>
<td valign="top" align="left">&#x02212;851.2</td>
<td valign="top" align="left">&#x02212;949.0</td>
<td valign="top" align="left">Na<sub>2</sub>CO<sub>3</sub>.H<sub>2</sub>O &#x0002B; CO<sub>2</sub> &#x02014;&#x0003E; 2Na<sup>&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M14"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;26.2</td>
<td valign="top" align="left">&#x02212;37.2</td>
</tr>
<tr>
<td valign="top" align="left">Anorthite</td>
<td valign="top" align="left">CaAl<sub>2</sub>Si<sub>2</sub>O<sub>8</sub></td>
<td valign="top" align="left">278.22</td>
<td valign="top" align="left">&#x02212;4007.9</td>
<td valign="top" align="left">&#x02212;4229.1</td>
<td valign="top" align="left">CaAl<sub>2</sub>Si<sub>2</sub>O<sub>8</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 3H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M15"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; Al<sub>2</sub>Si<sub>2</sub>O<sub>5</sub>(OH)<sub>4</sub></td>
<td valign="top" align="left">&#x02212;36.8</td>
<td valign="top" align="left">&#x02212;169.2</td>
</tr>
<tr>
<td valign="top" align="left">Diopside</td>
<td valign="top" align="left">MgCaSi<sub>2</sub>O<sub>6</sub></td>
<td valign="top" align="left">216.57</td>
<td valign="top" align="left">&#x02212;3036.6</td>
<td valign="top" align="left">&#x02212;3210.7</td>
<td valign="top" align="left">MgCaSi<sub>2</sub>O<sub>6</sub> &#x0002B; 4CO<sub>2</sub> &#x0002B; 6H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; Mg<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M16"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">25.4</td>
<td valign="top" align="left">&#x02212;189.8</td>
</tr>
<tr>
<td valign="top" align="left">Forsterite</td>
<td valign="top" align="left">Mg<sub>2</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">140.71</td>
<td valign="top" align="left">&#x02212;2053.6</td>
<td valign="top" align="left">&#x02212;2173.0</td>
<td valign="top" align="left">Mg<sub>2</sub>SiO<sub>4</sub> &#x0002B; 4CO<sub>2</sub> &#x0002B; 4H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 2Mg<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M17"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;25.3</td>
<td valign="top" align="left">&#x02212;263.2</td>
</tr>
<tr>
<td valign="top" align="left">Jennite</td>
<td valign="top" align="left">Ca<sub>9</sub>Si<sub>6</sub>O<sub>18</sub>(OH)<sub>6</sub>.8H<sub>2</sub>O</td>
<td valign="top" align="left">927.32</td>
<td valign="top" align="left">&#x02212;13644.4</td>
<td valign="top" align="left">&#x02212;272.0</td>
<td valign="top" align="left">Ca<sub>9</sub>Si<sub>6</sub>O<sub>18</sub>(OH)<sub>6</sub>.8H<sub>2</sub>O &#x0002B; 18CO<sub>2</sub> &#x0002B; 10H<sub>2</sub>O &#x02014;-&#x0003E; 9Ca<sup>2&#x0002B;</sup> &#x0002B; 18<inline-formula><mml:math id="M18"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 6H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;457.5</td>
<td valign="top" align="left">&#x02212;1145.9</td>
</tr>
<tr>
<td valign="top" align="left">Larnite</td>
<td valign="top" align="left">Ca<sub>2</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">172.25</td>
<td valign="top" align="left">&#x02212;2191.2</td>
<td valign="top" align="left">&#x02212;823.0</td>
<td valign="top" align="left">Ca<sub>2</sub>SiO<sub>4</sub> &#x0002B; 4CO<sub>2</sub> &#x0002B; 4H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 2Ca<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M19"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;85.1</td>
<td valign="top" align="left">&#x02212;282.0</td>
</tr>
<tr>
<td valign="top" align="left">Rankinite</td>
<td valign="top" align="left">Ca<sub>3</sub>Si<sub>2</sub>O<sub>7</sub></td>
<td valign="top" align="left">288.42</td>
<td valign="top" align="left">&#x02212;3748.1</td>
<td valign="top" align="left">&#x02212;1293.1</td>
<td valign="top" align="left">Ca<sub>3</sub>Si<sub>2</sub>O<sub>7</sub> &#x0002B; 6CO<sub>2</sub> &#x0002B; 7H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 3Ca<sup>2&#x0002B;</sup> &#x0002B; 6<inline-formula><mml:math id="M20"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;83.2</td>
<td valign="top" align="left">&#x02212;386.2</td>
</tr>
<tr>
<td valign="top" align="left">Tobermorite</td>
<td valign="top" align="left">Ca<sub>5</sub>Si<sub>6</sub>O<sub>12</sub>(OH)<sub>10</sub>.5H<sub>2</sub>O</td>
<td valign="top" align="left">588.94</td>
<td valign="top" align="left">&#x02212;10466.4</td>
<td valign="top" align="left">&#x02212;824.6</td>
<td valign="top" align="left">Ca<sub>5</sub>Si<sub>6</sub>O<sub>12</sub>(OH)<sub>10</sub>.5H<sub>2</sub>O &#x0002B; 10CO<sub>2</sub> &#x0002B; 7H<sub>2</sub>O &#x02014;-&#x0003E; 5Ca<sup>2&#x0002B;</sup> &#x0002B; 10<inline-formula><mml:math id="M21"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 6H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;513.0</td>
<td valign="top" align="left">&#x02212;941.4</td>
</tr>
<tr>
<td valign="top" align="left">Wollastonite</td>
<td valign="top" align="left">CaSiO<sub>3</sub></td>
<td valign="top" align="left">116.17</td>
<td valign="top" align="left">&#x02212;1549.9</td>
<td valign="top" align="left">&#x02212;1635.2</td>
<td valign="top" align="left">CaSiO<sub>3</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 3H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M22"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;5.1</td>
<td valign="top" align="left">&#x02212;103.0</td>
</tr>
<tr>
<td valign="top" align="left">Brucite</td>
<td valign="top" align="left">Mg(OH)<sub>2</sub></td>
<td valign="top" align="left">58.33</td>
<td valign="top" align="left">&#x02212;833.5</td>
<td valign="top" align="left">&#x02212;924.5</td>
<td valign="top" align="left">Mg(OH)<sub>2</sub> &#x0002B; 2CO<sub>2</sub> &#x02014;-&#x0003E; Mg<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M23"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;26.2</td>
<td valign="top" align="left">&#x02212;135.2</td>
</tr>
<tr>
<td valign="top" align="left">Lime</td>
<td valign="top" align="left">CaO</td>
<td valign="top" align="left">56.08</td>
<td valign="top" align="left">&#x02212;603.1</td>
<td valign="top" align="left">&#x02212;635.1</td>
<td valign="top" align="left">CaO &#x0002B; 2CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;-&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M24"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;118.3</td>
<td valign="top" align="left">&#x02212;214.7</td>
</tr>
<tr>
<td valign="top" align="left">Periclase</td>
<td valign="top" align="left">MgO</td>
<td valign="top" align="left">40.31</td>
<td valign="top" align="left">&#x02212;569.2</td>
<td valign="top" align="left">&#x02212;601.5</td>
<td valign="top" align="left">MgO &#x0002B; 2CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;-&#x0003E; Mg<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M25"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;53.5</td>
<td valign="top" align="left">&#x02212;172.4</td>
</tr>
<tr>
<td valign="top" align="left">Portlandite</td>
<td valign="top" align="left">Ca(OH)<sub>2</sub></td>
<td valign="top" align="left">74.1</td>
<td valign="top" align="left">&#x02212;898.4</td>
<td valign="top" align="left">&#x02212;986.1</td>
<td valign="top" align="left">Ca(OH)<sub>2</sub> &#x0002B; 2CO<sub>2</sub> &#x02014;-&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M26"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula></td>
<td valign="top" align="left">&#x02212;60.1</td>
<td valign="top" align="left">&#x02212;149.5</td>
</tr>
<tr>
<td valign="top" align="left">CAH10</td>
<td valign="top" align="left">CaAl<sub>2</sub>O<sub>4</sub>.10H<sub>2</sub>O</td>
<td valign="top" align="left">488.14</td>
<td valign="top" align="left">&#x02212;4622.3</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">CaAl<sub>2</sub>O<sub>4</sub>.10H<sub>2</sub>O &#x0002B; 2CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; Ca<sup>2&#x0002B;</sup> &#x0002B; 2<inline-formula><mml:math id="M27"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2Al(OH)<sub>3</sub> &#x0002B; 6H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;68.5</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C2AH8</td>
<td valign="top" align="left">Ca<sub>2</sub>Al<sub>2</sub>O<sub>5</sub>.8H<sub>2</sub>O</td>
<td valign="top" align="left">478.2</td>
<td valign="top" align="left">&#x02212;4812.8</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>2</sub>Al<sub>2</sub>O<sub>5</sub>.8H<sub>2</sub>O &#x0002B; 4CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 2Ca<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M28"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2Al(OH)<sub>3</sub> &#x0002B; 3H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;125.3</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C3AH6</td>
<td valign="top" align="left">Ca<sub>3</sub>Al<sub>2</sub>(OH)<sub>12</sub></td>
<td valign="top" align="left">378.32</td>
<td valign="top" align="left">&#x02212;5019.3</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>3</sub>Al<sub>2</sub>(OH)<sub>12</sub> &#x0002B; 6CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 3Ca<sup>2&#x0002B;</sup> &#x0002B; 6<inline-formula><mml:math id="M29"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2Al(OH)<sub>3</sub></td>
<td valign="top" align="left">&#x02212;165.8</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C4AH13</td>
<td valign="top" align="left">Ca<sub>4</sub>Al<sub>2</sub>O<sub>7</sub>.13H<sub>2</sub>O</td>
<td valign="top" align="left">755.41</td>
<td valign="top" align="left">&#x02212;7327.5</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>4</sub>Al<sub>2</sub>O<sub>7</sub>.13H<sub>2</sub>O &#x0002B; 8CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 4Ca<sup>2&#x0002B;</sup> &#x0002B; 8<inline-formula><mml:math id="M30"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2Al(OH)<sub>3</sub> &#x0002B; 6H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;238.8</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C2FH8</td>
<td valign="top" align="left">Ca<sub>2</sub>Fe<sub>2</sub>O<sub>5</sub>.8H<sub>2</sub>O</td>
<td valign="top" align="left">416.01</td>
<td valign="top" align="left">&#x02212;3919.0</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>2</sub>Fe<sub>2</sub>O<sub>5</sub>.8H<sub>2</sub>O &#x0002B; 4CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 2Ca<sup>2&#x0002B;</sup> &#x0002B; 4<inline-formula><mml:math id="M31"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; Fe<sub>2</sub>O<sub>3</sub> &#x0002B; 6H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;163.2</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C3FH6</td>
<td valign="top" align="left">Ca<sub>3</sub>Fe<sub>2</sub>O<sub>6</sub>.6H<sub>2</sub>O</td>
<td valign="top" align="left">436.05</td>
<td valign="top" align="left">&#x02212;4125.5</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>3</sub>Fe<sub>2</sub>O<sub>6</sub>.6H<sub>2</sub>O &#x0002B; 6CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 3Ca<sup>2&#x0002B;</sup> &#x0002B; 6<inline-formula><mml:math id="M32"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; Fe<sub>2</sub>O<sub>3</sub> &#x0002B; 3H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;203.8</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">C4FH13</td>
<td valign="top" align="left">Ca<sub>4</sub>Fe<sub>2</sub>O<sub>7</sub>.13H<sub>2</sub>O</td>
<td valign="top" align="left">618.27</td>
<td valign="top" align="left">&#x02212;6433.7</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>4</sub>Fe<sub>2</sub>O<sub>7</sub>.13H<sub>2</sub>O &#x0002B; 8CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 4Ca<sup>2&#x0002B;</sup> &#x0002B; 8<inline-formula><mml:math id="M33"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; Fe<sub>2</sub>O<sub>3</sub> &#x0002B; 9H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;276.7</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td valign="top" align="left">Tricarboaluminate</td>
<td valign="top" align="left">Ca<sub>6</sub>Al<sub>2</sub>(CO<sub>3</sub>)<sub>3</sub>(OH)<sub>12</sub>.26H<sub>2</sub>O</td>
<td valign="top" align="left">1147.11</td>
<td valign="top" align="left">&#x02212;14536.0</td>
<td valign="top" align="left">&#x02013;</td>
<td valign="top" align="left">Ca<sub>6</sub>Al<sub>2</sub>(CO<sub>3</sub>)<sub>3</sub>(OH)<sub>12</sub>.26H<sub>2</sub>O &#x0002B; 9CO<sub>2</sub> &#x02014;&#x02013;&#x0003E; 6Ca<sup>2&#x0002B;</sup> &#x0002B; 12<inline-formula><mml:math id="M34"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>&#x0002B; 2Al(OH)<sub>3</sub> &#x0002B; 23H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;131.0</td>
<td valign="top" align="left">&#x02013;</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left"><bold>Carbonation</bold>&#x02014;<bold>solid</bold></td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Anorthite</td>
<td valign="top" align="left">CaAl<sub>2</sub>Si<sub>2</sub>O<sub>8</sub></td>
<td valign="top" align="left">278.22</td>
<td valign="top" align="left">&#x02212;4007.9</td>
<td valign="top" align="left">&#x02212;4229.1</td>
<td valign="top" align="left">CaAl<sub>2</sub>Si<sub>2</sub>O<sub>8</sub> &#x0002B; CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; CaCO<sub>3</sub> &#x0002B; Al<sub>2</sub>Si<sub>2</sub>O<sub>5</sub>(OH)<sub>4</sub></td>
<td valign="top" align="left">&#x02212;59.5</td>
<td valign="top" align="left">&#x02212;133.3</td>
</tr>
<tr>
<td valign="top" align="left">Diopside</td>
<td valign="top" align="left">MgCaSi<sub>2</sub>O<sub>6</sub></td>
<td valign="top" align="left">216.57</td>
<td valign="top" align="left">&#x02212;3036.6</td>
<td valign="top" align="left">&#x02212;3210.7</td>
<td valign="top" align="left">MgCaSi<sub>2</sub>O<sub>6</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 4H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; CaCO<sub>3</sub> &#x0002B; MgCO<sub>3</sub> &#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;19.9</td>
<td valign="top" align="left">&#x02212;99.8</td>
</tr>
<tr>
<td valign="top" align="left">Forsterite</td>
<td valign="top" align="left">Mg<sub>2</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">140.71</td>
<td valign="top" align="left">&#x02212;2053.6</td>
<td valign="top" align="left">&#x02212;2173.0</td>
<td valign="top" align="left">Mg<sub>2</sub>SiO<sub>4</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 2MgCO<sub>3</sub> &#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;70.3</td>
<td valign="top" align="left">&#x02212;155</td>
</tr>
<tr>
<td valign="top" align="left">Gehlenite</td>
<td valign="top" align="left">Ca<sub>2</sub>Al<sub>2</sub>SiO<sub>7</sub></td>
<td valign="top" align="left">274.21</td>
<td valign="top" align="left">&#x02212;3808.7</td>
<td valign="top" align="left">&#x02212;4007.6</td>
<td valign="top" align="left">Ca<sub>2</sub>Al<sub>2</sub>SiO<sub>7</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 5H<sub>2</sub>O&#x02014;&#x02013;&#x0003E; 2CaCO<sub>3</sub> &#x0002B; 2Al(OH)<sub>3</sub> &#x0002B; H<sub>2</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;111.6</td>
<td valign="top" align="left">&#x02212;237.4</td>
</tr>
<tr>
<td valign="top" align="left">Jennite</td>
<td valign="top" align="left">Ca<sub>9</sub>Si<sub>6</sub>O<sub>18</sub>(OH)<sub>6</sub>.8H<sub>2</sub>O</td>
<td valign="top" align="left">927.32</td>
<td valign="top" align="left">&#x02212;13644.4</td>
<td valign="top" align="left">&#x02212;272.0</td>
<td valign="top" align="left">Ca<sub>9</sub>Si<sub>6</sub>O<sub>18</sub>(OH)<sub>6</sub>.8H<sub>2</sub>O &#x0002B; 9CO<sub>2</sub> &#x0002B; H<sub>2</sub>O &#x02014;-&#x0003E; 9CaCO<sub>3</sub> &#x0002B; 6H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;662.4</td>
<td valign="top" align="left">&#x02212;822.8</td>
</tr>
<tr>
<td valign="top" align="left">Larnite</td>
<td valign="top" align="left">Ca<sub>2</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">172.25</td>
<td valign="top" align="left">&#x02212;2191.2</td>
<td valign="top" align="left">&#x02212;823.0</td>
<td valign="top" align="left">Ca<sub>2</sub>SiO<sub>4</sub> &#x0002B; 2CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 2CaCO<sub>3</sub> &#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;130.7</td>
<td valign="top" align="left">&#x02212;210.2</td>
</tr>
<tr>
<td valign="top" align="left">Lime</td>
<td valign="top" align="left">CaO</td>
<td valign="top" align="left">56.08</td>
<td valign="top" align="left">&#x02212;603.1</td>
<td valign="top" align="left">&#x02212;635.1</td>
<td valign="top" align="left">CaO &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; CaCO<sub>3</sub></td>
<td valign="top" align="left">&#x02212;141.0</td>
<td valign="top" align="left">&#x02212;178.8</td>
</tr>
<tr>
<td valign="top" align="left">Merwinite</td>
<td valign="top" align="left">MgCa<sub>3</sub>Si<sub>2</sub>O<sub>8</sub></td>
<td valign="top" align="left">328.71</td>
<td valign="top" align="left">&#x02212;4339.4</td>
<td valign="top" align="left">&#x02212;4566.8</td>
<td valign="top" align="left">MgCa<sub>3</sub>Si<sub>2</sub>O<sub>8</sub> &#x0002B; 4CO<sub>2</sub> &#x0002B; 4H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 3CaCO<sub>3</sub> &#x0002B; MgCO<sub>3</sub> &#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;205.3</td>
<td valign="top" align="left">&#x02212;371.5</td>
</tr>
<tr>
<td valign="top" align="left">Rankinite</td>
<td valign="top" align="left">Ca<sub>3</sub>Si<sub>2</sub>O<sub>7</sub></td>
<td valign="top" align="left">288.42</td>
<td valign="top" align="left">&#x02212;3748.1</td>
<td valign="top" align="left">&#x02212;1293.1</td>
<td valign="top" align="left">Ca<sub>3</sub>Si<sub>2</sub>O<sub>7</sub> &#x0002B; 3CO<sub>2</sub> &#x0002B; 4H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; 3CaCO<sub>3</sub> &#x0002B; 2H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;151.5</td>
<td valign="top" align="left">&#x02212;386.2</td>
</tr>
<tr>
<td valign="top" align="left">Tobermorite</td>
<td valign="top" align="left">Ca<sub>5</sub>Si<sub>6</sub>O<sub>12</sub>(OH)<sub>10</sub>.5H<sub>2</sub>O</td>
<td valign="top" align="left">588.94</td>
<td valign="top" align="left">&#x02212;10466.4</td>
<td valign="top" align="left">&#x02212;824.6</td>
<td valign="top" align="left">Ca<sub>5</sub>Si<sub>6</sub>O<sub>12</sub>(OH)<sub>10</sub>.5H<sub>2</sub>O &#x0002B; 5CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;-&#x0003E; 5CaCO<sub>3</sub> &#x0002B; 6H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;626.8</td>
<td valign="top" align="left">&#x02212;761.9</td>
</tr>
<tr>
<td valign="top" align="left">Wollastonite</td>
<td valign="top" align="left">CaSiO<sub>3</sub></td>
<td valign="top" align="left">116.17</td>
<td valign="top" align="left">&#x02212;1549.9</td>
<td valign="top" align="left">&#x02212;1635.2</td>
<td valign="top" align="left">CaSiO<sub>3</sub> &#x0002B; CO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O &#x02014;&#x02013;&#x0003E; CaCO<sub>3</sub> &#x0002B; H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">&#x02212;27.8</td>
<td valign="top" align="left">&#x02212;67.1</td>
</tr>
<tr>
<td valign="top" align="left">Brucite</td>
<td valign="top" align="left">Mg(OH)<sub>2</sub></td>
<td valign="top" align="left">58.33</td>
<td valign="top" align="left">&#x02212;833.5</td>
<td valign="top" align="left">&#x02212;924.5</td>
<td valign="top" align="left">Mg(OH)<sub>2</sub> &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; MgCO<sub>3</sub> &#x0002B; H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;48.7</td>
<td valign="top" align="left">&#x02212;81.1</td>
</tr>
<tr>
<td valign="top" align="left">Portlandite</td>
<td valign="top" align="left">Ca(OH)<sub>2</sub></td>
<td valign="top" align="left">74.1</td>
<td valign="top" align="left">&#x02212;898.4</td>
<td valign="top" align="left">&#x02212;986.1</td>
<td valign="top" align="left">Ca(OH)<sub>2</sub> &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; CaCO<sub>3</sub> &#x0002B; H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;82.8</td>
<td valign="top" align="left">&#x02212;113.6</td>
</tr>
<tr>
<td valign="top" align="left">Periclase</td>
<td valign="top" align="left">MgO</td>
<td valign="top" align="left">40.31</td>
<td valign="top" align="left">&#x02212;569.2</td>
<td valign="top" align="left">&#x02212;601.5</td>
<td valign="top" align="left">MgO &#x0002B; CO<sub>2</sub> &#x02014;-&#x0003E; MgCO<sub>3</sub></td>
<td valign="top" align="left">&#x02212;75.9</td>
<td valign="top" align="left">&#x02212;118.3</td>
</tr>
<tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">Amorphous silica precipitation<xref ref-type="table-fn" rid="TN1"><sup>&#x0002A;</sup></xref></td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td/>
<td/>
<td/>
<td/>
<td valign="top" align="left">H<sub>4</sub>SiO<sub>4</sub> &#x02014;&#x02013;&#x0003E; SiO<sub>2</sub> &#x0002B; 2H<sub>2</sub>O</td>
<td valign="top" align="left">&#x02212;22.7</td>
<td valign="top" align="left">&#x02212;22.3</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TN1"><label>&#x0002A;</label><p><italic>The enthalpy and free energy for precipitation of SiO<sub>2</sub> from H<sub>4</sub>SiO<sub>4</sub> is given (last row) to enable calculation of the free energy and enthalpy of carbonation reactions where SiO<sub>2</sub> is the product</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Current production values for some common artificial minerals used in geochemical NETs, with estimated production values and NET potentials by 2050.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="left"><bold>Current annual production levels (Gt of material)</bold></th>
<th valign="top" align="left"><bold>2050 forecast production (Gt of material)</bold></th>
<th valign="top" align="left"><bold>2050 NET potential (Gt CO<sub><bold>2</bold></sub> yr.<sup><bold>&#x02212;1</bold></sup>)</bold></th>
<th valign="top" align="left"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Ash</td>
<td valign="top" align="left">0.6 &#x02013; 1</td>
<td valign="top" align="left">17 &#x02013; 29</td>
<td valign="top" align="left">0.07&#x02013;0.14</td>
<td valign="top" align="left">Renforth, <xref ref-type="bibr" rid="B338">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Cement&#x02014;uptake into cement and construction and demolition wastes</td>
<td valign="top" align="left">1.4&#x02013;5.8</td>
<td valign="top" align="left">40&#x02013;170</td>
<td valign="top" align="left">1.4&#x02013;2.0</td>
<td valign="top" align="left">Renforth, <xref ref-type="bibr" rid="B338">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Mine tailings</td>
<td valign="top" align="left">9&#x02013;17</td>
<td/>
<td valign="top" align="left">1.1&#x02013;4.5</td>
<td valign="top" align="left">Bullock et al., <xref ref-type="bibr" rid="B42">2021</xref></td>
</tr>
<tr>
<td valign="top" align="left">Red mud</td>
<td valign="top" align="left">0.12</td>
<td valign="top" align="left">3.5</td>
<td valign="top" align="left">&#x0003C;0.1</td>
<td valign="top" align="left">Renforth, <xref ref-type="bibr" rid="B338">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Slag (BOF, BFS)</td>
<td valign="top" align="left">0.17&#x02013;0.5</td>
<td valign="top" align="left">5&#x02013;15</td>
<td valign="top" align="left">0.3&#x02013;0.5</td>
<td valign="top" align="left">Renforth, <xref ref-type="bibr" rid="B338">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Desalination brines (dry NaOH)</td>
<td valign="top" align="left">0.12</td>
<td valign="top" align="left">0.06</td>
<td valign="top" align="left">0.2</td>
<td valign="top" align="left">Gao et al., <xref ref-type="bibr" rid="B112">2017</xref>; Jones et al., <xref ref-type="bibr" rid="B171">2019</xref>; Ihsanullah et al., <xref ref-type="bibr" rid="B161">2021</xref></td>
</tr>
<tr>
<td valign="top" align="left">Lime (CaO)</td>
<td valign="top" align="left">0.43</td>
<td valign="top" align="left">0.9&#x02013;1.6<xref ref-type="table-fn" rid="TN2"><sup>&#x0002A;</sup></xref></td>
<td valign="top" align="left">Unknown, but potentially on the order of 0.5&#x02013;5<xref ref-type="table-fn" rid="TN4"><sup>&#x0002A;&#x0002A;&#x0002A;</sup></xref></td>
<td valign="top" align="left">Renforth, <xref ref-type="bibr" rid="B338">2019</xref></td>
</tr>
<tr>
<td valign="top" align="left">Magnesia (MgO)</td>
<td valign="top" align="left">0.14</td>
<td valign="top" align="left">0.5<xref ref-type="table-fn" rid="TN3"><sup>&#x0002A;&#x0002A;</sup></xref></td>
<td/>
<td valign="top" align="left">Jos&#x000E9; et al., <xref ref-type="bibr" rid="B172">2020</xref></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="TN2"><label>&#x0002A;</label><p><italic>Forecast production lower estimate from Renforth (<xref ref-type="bibr" rid="B338">2019</xref>), upper estimate assuming additional 10% yr.<sup>&#x02212;1</sup> growth</italic>.</p></fn>
<fn id="TN3"><label>&#x0002A;&#x0002A;</label><p><italic>Upper estimate assuming additional 10% yr.<sup>&#x02212;1</sup> growth</italic>.</p></fn>
<fn id="TN4"><label>&#x0002A;&#x0002A;&#x0002A;</label><p><italic>Lower estimates assuming once through capacity (e.g., ocean liming) on production forecast. Higher estimates for proposals that consider looping Ca or Mg (McQueen et al., <xref ref-type="bibr" rid="B260">2020</xref>) with subsequent geological storage</italic>.</p></fn>
</table-wrap-foot>
</table-wrap>
<p>Most of the reactions between CO<sub>2</sub>, H<sub>2</sub>O and mineral alkalinity (section Reaction Chemistry) are thermodynamically favorable, as indicated by their negative Gibbs free energies. The result of these reactions is either a solid carbonate mineral (section Carbonate Products and Other Secondary Minerals), or dissolved ocean bicarbonate. However, owing to kinetic limitations, the reaction between rock outcrops containing natural alkaline minerals and CO<sub>2</sub> at ambient conditions occurs on geological timescales. Therefore, the main goal of geochemical NETs is to considerably enhance the rate of these reactions to a timescale relevant to climate change mitigation by manipulating the kinetics (section Kinetics).</p>
<p>Those geochemical NETs which predominantly produce solid carbonate minerals (section CO<sub>2</sub> Mineralization), can be divided conceptually into <italic>in situ, ex situ</italic> and surficial CO<sub>2</sub> mineralization. <italic>In situ</italic> approaches typically involve circulation of CO<sub>2</sub>-rich fluids through alkaline rocks, e.g., basalt or peridotite, in the Earth&#x00027;s subsurface (Matter and Kelemen, <xref ref-type="bibr" rid="B244">2009</xref>). <italic>Ex situ</italic> approaches typically involve reacting high concentration CO<sub>2</sub> with finely ground natural alkaline minerals or artificial alkaline by-products/wastes in engineered reactors. These reactions typically go to completion within minutes using high temperatures, pressures, concentrated CO<sub>2</sub> and/or other reagents such as acids (Sanna and Maroto-valer, <xref ref-type="bibr" rid="B358">2016</xref>). On the other hand, surficial approaches typically involve reaction of air, or CO<sub>2</sub>-bearing fluids/gases, with ground minerals at the Earth&#x00027;s surface, occurring more slowly than <italic>ex situ</italic> reactions. Examples include reactions of natural minerals in controlled environments like greenhouses (Myers and Nakagaki, <xref ref-type="bibr" rid="B282">2020</xref>), or in heaps or piles of artificial wastes such as slags (Stolaroff et al., <xref ref-type="bibr" rid="B388">2005</xref>) or mine tailings (Wilson et al., <xref ref-type="bibr" rid="B427">2006</xref>, <xref ref-type="bibr" rid="B425">2009</xref>). In both <italic>ex situ</italic> and surficial CO<sub>2</sub> mineralization, the carbonate products may be valorized (sold or utilized), whereas in <italic>in situ</italic> approaches the mineralized CO<sub>2</sub> is safely and permanently stored underground. Surficial approaches may also be harnessed for the purpose of cost-effective direct air capture (DAC) (<xref ref-type="boxed-text" rid="Box1">Box 1</xref>).</p>
<boxed-text id="Box1">
<label>Box 1</label>
<title>Harnessing surficial mineralization processes for direct air capture.</title>
<p>Direct Air Capture (DAC) requires the removal of CO<sub>2</sub> from the air to produce a concentrated source of CO<sub>2</sub>. This concentrated CO<sub>2</sub> can then either be utilized or permanently stored. Surficial mineralization processes have been proposed that fit this definition. For example calcium oxide (Hanak et al., <xref ref-type="bibr" rid="B135">2017</xref>; Hanak and Manovic, <xref ref-type="bibr" rid="B136">2018</xref>) or magnesium oxide (McQueen et al., <xref ref-type="bibr" rid="B260">2020</xref>) looping systems. Calcium looping is a pre- or post-combustion CO<sub>2</sub> capture technology which uses high temperatures. Carbonation is usually performed at around 650&#x000B0;C to form calcium carbonate (CaCO<sub>3</sub>). The carbonates, while still hot, are then fed into the next part of the system where they are calcined above 900&#x000B0;C. The calcination step regenerates the lime and produces a more concentrated source of CO<sub>2</sub> which is suitable for CCS (Mart&#x000ED;nez et al., <xref ref-type="bibr" rid="B241">2018</xref>). Hybrid surficial DAC works similarly, except that CaO or MgO is carbonated under ambient conditions in air, at potentially unlimited scale. The carbonation step in air has slower reaction kinetics than calcium looping processes and is thought to be dependent on a relative humidity above 55% (Erans et al., <xref ref-type="bibr" rid="B89">2020</xref>; Samari et al., <xref ref-type="bibr" rid="B355">2020</xref>). For further details on these and other DAC systems see (Sanz-P&#x000E9;rez et al., <xref ref-type="bibr" rid="B362">2016</xref>; Okesola et al., <xref ref-type="bibr" rid="B295">2018</xref>; McQueen et al., <xref ref-type="bibr" rid="B259">2021a</xref>).</p>
</boxed-text>
<p>Other geochemical NETs involve the dispersing of alkaline minerals for the purpose of enhanced weathering in large open spaces, exploiting certain environmental conditions. Where the reactive medium is soil, this is referred to as enhanced weathering in soil, or terrestrial enhanced weathering (section Enhanced Weathering in Soils) (Schuiling and Krijgsman, <xref ref-type="bibr" rid="B369">2006</xref>). Where the weathering takes place at beaches and coastal shelves, the method is referred to as coastal enhanced weathering (Montserrat et al., <xref ref-type="bibr" rid="B272">2017</xref>). Coastal enhanced weathering is one approach for ocean alkalinity enhancement (OAE), which is any process that involves increasing alkalinity in the oceans, resulting in atmospheric CO<sub>2</sub> removal. Other methods for OAE include ocean liming (Caserini et al., <xref ref-type="bibr" rid="B50">2021</xref>), and a range of electrochemical processes (House et al., <xref ref-type="bibr" rid="B154">2007</xref>; Davies, <xref ref-type="bibr" rid="B67">2015</xref>; Mustafa et al., <xref ref-type="bibr" rid="B281">2020</xref>). The role of alkaline minerals in ocean-based NETs is discussed in the section Ocean Alkalinity Enhancement. Key features of the different geochemical NETs are summarized in <xref ref-type="table" rid="T3">Table 3</xref>. Finally, biological mechanisms that influence geochemical reactions or transport ions may potentially be integrated into many of the above-mentioned methods to improve efficiency (section Application of Biotechnology to Geochemical NETs).</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Qualitative comparison of geochemical NET processes.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th/>
<th valign="top" align="center" colspan="3" style="border-bottom: thin solid #000000;"><bold>CO</bold><sub><bold><bold>2</bold></bold></sub> <bold>mineralization</bold></th>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>Enhanced weathering and ocean alkalinity enhancement</bold></th>
</tr>
<tr>
<th/>
<th valign="top" align="left"><bold><italic>In situ</italic></bold></th>
<th valign="top" align="left"><bold><italic>Ex situ</italic></bold></th>
<th valign="top" align="left"><bold>Surficial</bold></th>
<th valign="top" align="left"><bold>Enhanced weathering in soils</bold></th>
<th valign="top" align="left"><bold>Enhanced weathering at coasts</bold></th>
<th valign="top" align="left"><bold>Ocean liming</bold></th>
<th valign="top" align="left"><bold>Electrochemical seawater splitting</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Where?</td>
<td valign="top" align="left">Subsurface</td>
<td valign="top" align="left">Reactors</td>
<td valign="top" align="left">Heaps, piles, ponds, greenhouses</td>
<td valign="top" align="left">Forest and agricultural soils</td>
<td valign="top" align="left">Beaches and coastal shelves</td>
<td valign="top" align="left">Oceans</td>
<td valign="top" align="left">Coastal zones and oceans</td>
</tr>
<tr>
<td valign="top" align="left">CO<sub>2</sub> source</td>
<td valign="top" align="left">Suited for industrial flue gases, but also air/DAC</td>
<td valign="top" align="left">Industry (potentially also DAC)</td>
<td valign="top" align="left">Air/DAC/industry</td>
<td valign="top" align="left">Air</td>
<td valign="top" align="left">Air</td>
<td valign="top" align="left">Air</td>
<td valign="top" align="left">Air</td>
</tr>
<tr>
<td valign="top" align="left">If concentrated CO<sub>2</sub> is used, is it retained?</td>
<td valign="top" align="left">Yes, minor losses</td>
<td valign="top" align="left">Yes</td>
<td valign="top" align="left">Potential losses</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
</tr>
<tr>
<td valign="top" align="left">CO<sub>2</sub> transport?</td>
<td valign="top" align="left">Some approaches</td>
<td valign="top" align="left">No</td>
<td valign="top" align="left">Some approaches</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
<td valign="top" align="left">N/A</td>
</tr>
<tr>
<td valign="top" align="left">Mineral transport?</td>
<td valign="top" align="left">Rocks in place</td>
<td valign="top" align="left">Rocks transported to CO<sub>2</sub> sources</td>
<td valign="top" align="left">Minimal transport, some spreading</td>
<td valign="top" align="left">Transport and spreading</td>
<td valign="top" align="left">Transport and spreading</td>
<td valign="top" align="left">Transport and spreading</td>
<td valign="top" align="left">Rocks transported to electrochemical reactor</td>
</tr>
<tr>
<td valign="top" align="left">Carbon products</td>
<td valign="top" align="left">Carbonate minerals</td>
<td valign="top" align="left">Carbonate minerals</td>
<td valign="top" align="left">Carbonate minerals</td>
<td valign="top" align="left">Carbonate minerals, ocean (bi)carbonate</td>
<td valign="top" align="left">Ocean (bi)carbonate</td>
<td valign="top" align="left">Ocean (bi)carbonate</td>
<td valign="top" align="left">Ocean (bi)carbonate</td>
</tr>
<tr>
<td valign="top" align="left">Can carbon products be utilized?</td>
<td valign="top" align="left">No</td>
<td valign="top" align="left">Yes</td>
<td valign="top" align="left">Yes</td>
<td valign="top" align="left">No</td>
<td valign="top" align="left">No</td>
<td valign="top" align="left">No</td>
<td valign="top" align="left">No</td>
</tr>
<tr>
<td valign="top" align="left">Temperature and pressure</td>
<td valign="top" align="left">Rock formation dependent (depth)</td>
<td valign="top" align="left">Likely non-ambient</td>
<td valign="top" align="left">Ambient</td>
<td valign="top" align="left">Ambient</td>
<td valign="top" align="left">Ambient</td>
<td valign="top" align="left">Non-ambient (calcination)</td>
<td valign="top" align="left">N/A</td>
</tr>
<tr>
<td valign="top" align="left">Enhancements</td>
<td valign="top" align="left">CO<sub>2</sub> concentration, reaction driven cracking, H<sub>2</sub>O/CO<sub>2</sub> ratio, additives</td>
<td valign="top" align="left">Grinding, mixing, agitation, sonication, acids, salts, additives, pre-treatments, CO<sub>2</sub> concentration, solid-liquid ratio, humidity</td>
<td valign="top" align="left">Grinding, mixing, agitation, sonication, dispersing minerals, sparging, CO<sub>2</sub> concentration, solid-liquid ratio, humidity</td>
<td valign="top" align="left">Comminution. <break/> Physical, chemical, and biological location-dependent weathering</td>
<td valign="top" align="left">Comminution. <break/> Physical, chemical, and biological location-dependent weathering</td>
<td valign="top" align="left">Calcination to produce highly reactive CaO</td>
<td valign="top" align="left">Electricity</td>
</tr>
<tr>
<td valign="top" align="left">CO<sub>2</sub> removal rate</td>
<td valign="top" align="left">Days to years</td>
<td valign="top" align="left">Minutes</td>
<td valign="top" align="left">Weeks to months</td>
<td valign="top" align="left">Years</td>
<td valign="top" align="left">Years</td>
<td valign="top" align="left">Weeks</td>
<td valign="top" align="left">Weeks</td>
</tr>
<tr>
<td valign="top" align="left">Potential removal scale</td>
<td valign="top" align="left">Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt&#x02013;Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt&#x02013;Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt&#x02013;Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
<td valign="top" align="left">Mt CO<sub>2</sub> yr.<sup>&#x02212;1</sup></td>
</tr>
<tr>
<td valign="top" align="left">Emissions reduction (ER) or NET</td>
<td valign="top" align="left">ER or NET</td>
<td valign="top" align="left">ER or NET</td>
<td valign="top" align="left">ER or NET</td>
<td valign="top" align="left">NET</td>
<td valign="top" align="left">NET</td>
<td valign="top" align="left">NET</td>
<td valign="top" align="left">NET</td>
</tr>
<tr>
<td valign="top" align="left">Monitoring and verification</td>
<td valign="top" align="left">Potentially straightforward</td>
<td valign="top" align="left">Straightforward</td>
<td valign="top" align="left">Potentially straightforward</td>
<td valign="top" align="left">Difficult</td>
<td valign="top" align="left">Difficult</td>
<td valign="top" align="left">Difficult</td>
<td valign="top" align="left">Difficult</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4">
<title>Alkaline Mineral Resources</title>
<sec>
<title>Common Alkaline Minerals</title>
<p>A mineral is an inorganic solid with distinctive chemical and physical properties, composition, and atomic structure, whereas rocks are an assemblage of minerals. In geochemical NETs, the alkalinity for the neutralization reaction (Equation 1) is usually supplied by abundant Ca- and Mg-rich silicate (or aluminosilicate) minerals, and in some cases the oxides, hydroxides or carbonates of calcium and magnesium (see <xref ref-type="table" rid="T1">Table 1</xref>). Potential material resources for magnesium-bearing minerals are much larger than that of calcium owing to their natural availability, while on the other hand, markets for magnesium-based products are much smaller than that of calcium-based products. Minerals rich in other cations such as Na, K, Fe are also considered in some approaches (Kheshgi, <xref ref-type="bibr" rid="B187">1995</xref>; Palandri and Kharaka, <xref ref-type="bibr" rid="B298">2005</xref>; Campbell, <xref ref-type="bibr" rid="B47">2019</xref>).</p></sec>
<sec>
<title>Naturally Occurring Alkaline Rocks</title>
<p>Alkaline minerals are found in alkaline rocks, including: (i) igneous rocks, such as basalt and peridotite (McGrail et al., <xref ref-type="bibr" rid="B253">2006</xref>; Kelemen and Matter, <xref ref-type="bibr" rid="B183">2008</xref>; Matter and Kelemen, <xref ref-type="bibr" rid="B244">2009</xref>; Clark, <xref ref-type="bibr" rid="B54">2019</xref>; Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>), (ii) metamorphic rocks, such as serpentinites (Okamoto et al., <xref ref-type="bibr" rid="B294">2006</xref>; Power et al., <xref ref-type="bibr" rid="B319">2013b</xref>; Bide et al., <xref ref-type="bibr" rid="B27">2014</xref>; Dichicco et al., <xref ref-type="bibr" rid="B74">2015</xref>), and (iii) sedimentary rocks such as limestone and dolomite (Rau and Caldeira, <xref ref-type="bibr" rid="B332">1999</xref>; Rau et al., <xref ref-type="bibr" rid="B333">2007</xref>; Rau, <xref ref-type="bibr" rid="B331">2011</xref>). There are two main types of igneous and metamorphic alkaline rock considered for geochemical NETs: (i) mafic rocks such as basalt, and (ii) ultramafic rocks such as peridotite and serpentinite. Mafic and ultramafic rocks are chemically and physically distinct. For example, mafic rocks typically contain 15&#x02013;28% MgO, 1&#x02013;15% CaO, and 46&#x02013;54% SiO<sub>2</sub> (among other minor components), whereas ultramafic rocks typically contain 35&#x02013;46% MgO, 5&#x02013;15% CaO, and 42&#x02013;48% SiO<sub>2</sub> (Sen, <xref ref-type="bibr" rid="B370">2014</xref>). Depending on the particular geochemical NET, some rock types might be more suitable than others, e.g., olivine may be more promising than basalt in enhanced weathering approaches. For <italic>in situ</italic> mineralization, both mafic (e.g., basalt) and ultramafic (e.g., peridotite and serpentinite) formations with suitable properties, such as high porosities and permeabilities, will allow for cost-effective storage. Together, mafic and ultramafic rocks represent over 90 teratonnes (Tt) of resources, sufficient to store the equivalent of 700-years worth of global CO<sub>2</sub> emissions (Bide et al., <xref ref-type="bibr" rid="B27">2014</xref>). For <italic>ex situ</italic> and surficial mineralization, as well as for enhanced weathering, near-surface deposits of mafic and ultramafic alkaline rocks could be mined, crushed, and ground to create high surface areas to facilitate a reasonable rate of reaction with CO<sub>2</sub>. In this regard, the available rock resources that could be used for geochemical NETs at the Earth&#x00027;s surface are plentiful, since the estimates for global sand, gravel, and stone reserves amount to more than 190 Tt (Sverdrup et al., <xref ref-type="bibr" rid="B395">2017</xref>). If only a small part of this industry were to be redirected toward production of crushed alkaline rocks for surface geochemical NETs, then many Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup> would be achieved in the near future. The reason is that a robust and expanding industry is already in place, i.e., the construction aggregates industry, which annually extracts and processes 50 billion tons (Gt) of rocks (range 47&#x02013;59 Gt) (Sverdrup et al., <xref ref-type="bibr" rid="B395">2017</xref>). Finally, it may be possible to use natural carbonate rocks for enhanced weathering and remove CO<sub>2</sub> from air in the form of bicarbonate (Kirchner et al., <xref ref-type="bibr" rid="B190">2020</xref>).</p></sec>
<sec>
<title>Artificial Alkaline Minerals&#x02014;Industrial By-Products and Wastes, and Tailored Minerals</title>
<p>In addition to naturally occurring mineral resources, some geochemical NETs can also exploit abundant artificial mineral resources (<xref ref-type="table" rid="T2">Table 2</xref>). These are typically wastes or by-products of industrial processes, landscaping, or quarrying (Dijkstra et al., <xref ref-type="bibr" rid="B75">2019</xref>). On a global scale, it is estimated that 7 Gt of these alkaline mineral by-products/wastes are produced annually, with a combined potential to capture and store CO<sub>2</sub> away from the atmosphere at 2.9&#x02013;8.5 Gt yr.<sup>&#x02212;1</sup> by 2100 (Renforth, <xref ref-type="bibr" rid="B338">2019</xref>). More specifically, these materials include: (i) iron and steelmaking slags (blast furnace, basic oxide, electric arc furnace, ladle furnace, and argon oxygen decarburization slags) (Mayes et al., <xref ref-type="bibr" rid="B246">2018</xref>; Pullin et al., <xref ref-type="bibr" rid="B327">2019</xref>; Reddy et al., <xref ref-type="bibr" rid="B334">2019</xref>; Luo and He, <xref ref-type="bibr" rid="B229">2021</xref>); (ii) cement wastes (cement and concrete wastes, construction and demolition wastes, cement kiln/bypass dust, recycled calcium sulfates, and blended hydraulic slag cement) (Huntzinger et al., <xref ref-type="bibr" rid="B159">2009a</xref>; Medas et al., <xref ref-type="bibr" rid="B262">2017</xref>; Pedraza et al., <xref ref-type="bibr" rid="B302">2021</xref>); (iii) ashes and relevant residues [bottom ash from furnaces and incinerators (municipal solid waste incinerator bottom ash, fly ash, boiler ash, coal slag, oil shale ash), air pollution control residues (cyclone dust, cloth bag dust), and fuel combustion ashes (coal fly ash, lignite fly ash, oil shale, biomass ashes)] (Alba et al., <xref ref-type="bibr" rid="B4">2001</xref>; Baciocchi et al., <xref ref-type="bibr" rid="B16">2006</xref>; Sun et al., <xref ref-type="bibr" rid="B393">2008</xref>; Zhang et al., <xref ref-type="bibr" rid="B447">2008</xref>; Montes-Hernandez et al., <xref ref-type="bibr" rid="B271">2009</xref>; Prigiobbe et al., <xref ref-type="bibr" rid="B325">2009</xref>; Lombardi et al., <xref ref-type="bibr" rid="B225">2016</xref>; Br&#x000FC;ck et al., <xref ref-type="bibr" rid="B40">2018</xref>; Liu et al., <xref ref-type="bibr" rid="B224">2018</xref>; Ji et al., <xref ref-type="bibr" rid="B169">2019</xref>; Vassilev et al., <xref ref-type="bibr" rid="B412">2021</xref>); (iv) mine and mineral processing wastes (asbestos tailings, nickel tailings, diamond tailings, and red mud) (Wilson et al., <xref ref-type="bibr" rid="B424">2010</xref>, <xref ref-type="bibr" rid="B426">2014</xref>; Power et al., <xref ref-type="bibr" rid="B321">2014</xref>, <xref ref-type="bibr" rid="B315">2020</xref>; Gras et al., <xref ref-type="bibr" rid="B129">2017</xref>; Mervine et al., <xref ref-type="bibr" rid="B263">2018</xref>); (v) alkaline paper mill wastes (lime kiln residues, green liquor dreg, paper sludge) (P&#x000E9;rez-L&#x000F3;pez et al., <xref ref-type="bibr" rid="B305">2008</xref>; Sun et al., <xref ref-type="bibr" rid="B394">2013</xref>; Li and Sun, <xref ref-type="bibr" rid="B217">2014</xref>; Sp&#x000ED;nola et al., <xref ref-type="bibr" rid="B386">2021</xref>); and (vi) reject brines from desalination (Mustafa et al., <xref ref-type="bibr" rid="B281">2020</xref>). The latter can be employed by electrochemical approaches that aim at removing acidity (HCl) from seawater and return alkalinity (NaOH). Currently, more than 95 million m<sup>3</sup> of desalinated water is produced daily on a global scale, which is responsible for generating more than 141 million m<sup>3</sup> of brine each day that is typically discharged into the oceans, often negatively affecting the receiving ecosystems (Jones et al., <xref ref-type="bibr" rid="B171">2019</xref>). This number is on the rise, since recent estimates suggest that by 2030 the global desalination capacity will be more than 200 million m<sup>3</sup> day<sup>&#x02212;1</sup> (Ihsanullah et al., <xref ref-type="bibr" rid="B161">2021</xref>), while this number could be more than tripled by 2050 since the total global desalination population is projected to increase by 3.2-fold in 2050 compared to the present (Gao et al., <xref ref-type="bibr" rid="B112">2017</xref>). These very large volumes of reject brines (waste) present certain advantages for OAE, since their mean salinity is twice that of seawater (Ihsanullah et al., <xref ref-type="bibr" rid="B161">2021</xref>), suggesting that if they were used for OAE, CO<sub>2</sub> removal at the Mt yr.<sup>&#x02212;1</sup> scale at least could be achieved in the nearterm.</p>
<p>Regarding the solid alkaline waste materials, these are generally low-cost (Huijgen et al., <xref ref-type="bibr" rid="B157">2005</xref>) and often deposited in heaps or buried at the shallow subsurface, implying that these are more accessible and more readily available than natural minerals. Furthermore, most legacy deposits may be only partially weathered, suggesting their great potential for CO<sub>2</sub> removal. For example, 40&#x02013;140 years after deposition, a slag deposit in Consett, England, which is estimated to be over 30 Mt, has only reached &#x0007E;3% of its CO<sub>2</sub> sequestration potential (Pullin et al., <xref ref-type="bibr" rid="B327">2019</xref>). Artificial alkaline minerals also tend to have higher reactivities than natural minerals, due to their activation by various industrial pre-treatments (e.g., grinding and heat treatment), which often create high surface areas and higher crystal disorder (La Plante et al., <xref ref-type="bibr" rid="B199">2021a</xref>). However, compared to natural alkaline rocks, they are less abundant and may contain more labile toxic metals, possibly making their use problematic in large-scale geochemical NETs.</p>
<p>Therefore, rather than using wastes and by-products of existing industrial processes, artificial alkaline minerals, tailored for the purpose of negative emissions, could be more promising. For example, the carbonates of calcium and magnesium can be calcined, the CO<sub>2</sub> generated by their decomposition could be captured and stored, while the resulting high-reactivity oxides (CaO and MgO) could be used in different NETs such as power generation using an integrated solid-oxide fuel cell (Hanak et al., <xref ref-type="bibr" rid="B135">2017</xref>), metal oxide looping DAC (see <xref ref-type="boxed-text" rid="Box1">Box 1</xref>) (McQueen et al., <xref ref-type="bibr" rid="B260">2020</xref>), or ocean liming applications (Renforth and Kruger, <xref ref-type="bibr" rid="B342">2013</xref>; Renforth et al., <xref ref-type="bibr" rid="B341">2013</xref>). Substances other than CaO and MgO have also been investigated for hybrid DAC systems, such as sodium and potassium oxides, and related compounds (Nikulshina et al., <xref ref-type="bibr" rid="B287">2008</xref>; Campbell, <xref ref-type="bibr" rid="B47">2019</xref>).</p></sec></sec>
<sec id="s5">
<title>Reaction Chemistry</title>
<p>Reactions of alkaline minerals with CO<sub>2</sub> can occur as gas-solid systems (e.g., Equation 2).
<disp-formula id="E3"><label>(2)</label><mml:math id="M35"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>2</mml:mn><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Where <italic>X</italic> is Mg or Ca. Humidity is usually required to catalyze these reactions. See section Gas-Solid Kinetics for discussion on the kinetics of gas-solid reactions.</p>
<p>Alternatively, and more commonly, reactions of alkaline silicate minerals with CO<sub>2</sub> occur in the aqueous phase. First, CO<sub>2</sub> dissolves in water forming carbonic acid (H<sub>2</sub>CO<sub>3</sub>), which releases acidity, H<sup>&#x0002B;</sup>, into solution:
<disp-formula id="E4"><label>(3)</label><mml:math id="M36"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mrow><mml:mtext>&#x000A0;</mml:mtext><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E5"><label>(4)</label><mml:math id="M37"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>&#x02192;</mml:mo><mml:msubsup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E6"><label>(5)</label><mml:math id="M38"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x02192;</mml:mo><mml:msubsup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Alkaline mineral surfaces then react with H<sup>&#x0002B;</sup>:
<disp-formula id="E7"><label>(6)</label><mml:math id="M39"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mn>4</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Over time, carbonate minerals may precipitate:
<disp-formula id="E8"><label>(7)</label><mml:math id="M40"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Overall the reaction is:
<disp-formula id="E9"><label>(8)</label><mml:math id="M41"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>2</mml:mn><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Theoretically, 1 mol of CO<sub>2</sub> is removed for every 1 mol of alkaline metal. Similar reactions can occur for a wide array of alkaline silicate minerals (<xref ref-type="table" rid="T1">Table 1</xref>). In some geochemical NETs, such as coastal enhanced weathering, the goal is to remove carbon and store it as dissolved ocean bicarbonate, rather than minerals:
<disp-formula id="E10"><label>(9)</label><mml:math id="M42"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>4</mml:mn><mml:mi>C</mml:mi><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>4</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>2</mml:mn><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr><mml:mtr columnalign="right"><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mn>4</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
In this case, 2 mol of CO<sub>2</sub> are theoretically removed for every 1 mol of alkaline metal (example reactions are given in <xref ref-type="table" rid="T1">Table 1</xref>). The residence time of bicarbonate is tens to hundreds of thousands of years in the ocean and thus it can be considered a stable store of carbon since abiotic mineral carbonate formation is kinetically inhibited by the ocean&#x00027;s chemistry (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>). Alkaline carbonates can also be used to remove CO<sub>2</sub>:
<disp-formula id="E12"><label>(10)</label><mml:math id="M44"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
In this instance, 1 mol of CO<sub>2</sub> is theoretically removed for every 1 mol of alkaline metal, assuming the carbon is stored as ocean bicarbonate.</p>
<p>Some geochemical NETs do not react alkaline minerals with CO<sub>2</sub> or H<sub>2</sub>CO<sub>3</sub> directly, but instead react alkaline minerals with other acids, which are by-products or wastes of other NETs. For example, electrochemical seawater dialysis may produce HCl (House et al., <xref ref-type="bibr" rid="B154">2007</xref>; Davies, <xref ref-type="bibr" rid="B67">2015</xref>):
<disp-formula id="E13"><label>(11)</label><mml:math id="M45"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>N</mml:mi><mml:mi>a</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x02192;</mml:mo><mml:mi>N</mml:mi><mml:mi>a</mml:mi><mml:mi>O</mml:mi><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Where NaOH is used for ocean alkalinity enhancement and CO<sub>2</sub> removal:
<disp-formula id="E14"><label>(12)</label><mml:math id="M46"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>N</mml:mi><mml:mi>a</mml:mi><mml:mi>O</mml:mi><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mi>N</mml:mi><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
And where HCl is disposed of by reaction with alkaline minerals.
<disp-formula id="E15"><label>(13)</label><mml:math id="M47"><mml:mtable class="eqnarray" columnalign="right"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>4</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>2</mml:mn><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mn>4</mml:mn><mml:mi>C</mml:mi><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Furthermore, some geochemical NETs capture CO<sub>2</sub> from air and produce concentrated CO<sub>2</sub> gas in a looping process (McQueen et al., <xref ref-type="bibr" rid="B260">2020</xref>):
<disp-formula id="E17"><label>(14)</label><mml:math id="M49"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>X</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mtext>&#x000A0;in&#x000A0;Air&#x000A0;</mml:mtext><mml:mo>&#x02192;</mml:mo><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E18"><label>(15)</label><mml:math id="M50"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>X</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>H</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x02192;</mml:mo><mml:mi>X</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
The concentrated CO<sub>2</sub> stream can then be used or safely stored geologically. This process may be possible with minerals other than Ca- and Mg- oxides.</p></sec>
<sec id="s6">
<title>Carbonate Products and Other Secondary Minerals</title>
<p>Solid products of geochemical NETs primarily include carbonate minerals such as calcite (CaCO<sub>3</sub>), magnesite (MgCO<sub>3</sub>), dolomite (CaMg(CO<sub>3</sub>)<sub>2</sub>), and various hydrated magnesium carbonates (Mg<sub>5</sub>(CO<sub>3</sub>)<sub>4</sub>(OH)<sub>2</sub>&#x000B7;nH<sub>2</sub>O). These are stable enough to be stored for long time periods. Other carbonate minerals such as siderite (FeCO<sub>3</sub>), dawsonite (NaAl(CO<sub>3</sub>)(OH)<sub>2</sub>), and ankerite (Ca(Fe,Mg,Mn)(CO<sub>3</sub>)<sub>2</sub>) can act as stores of carbon, but may only be stable in subsurface environments (Hellevang et al., <xref ref-type="bibr" rid="B146">2005</xref>; Sn&#x000E6;bj&#x000F6;rnsd&#x000F3;ttir et al., <xref ref-type="bibr" rid="B381">2014</xref>; Yu et al., <xref ref-type="bibr" rid="B438">2020</xref>).</p>
<p>Besides carbonates, other products of mineral carbonation and weathering include silica, iron oxides, and clays. These secondary minerals, including the carbonate products, can occlude reactive surfaces, halting further reaction (B&#x000E9;arat et al., <xref ref-type="bibr" rid="B19">2006</xref>; Andreani et al., <xref ref-type="bibr" rid="B10">2009</xref>; Maher et al., <xref ref-type="bibr" rid="B234">2009</xref>; Saldi et al., <xref ref-type="bibr" rid="B353">2013</xref>; Sissmann et al., <xref ref-type="bibr" rid="B379">2014</xref>). The role of clay mineral formation <italic>via</italic> &#x0201C;reverse weathering&#x0201D; (Equation 16) is a subject of ongoing debate within several geochemical NETs, as these reactions may inhibit their CO<sub>2</sub> sequestration efficiencies (Montserrat et al., <xref ref-type="bibr" rid="B272">2017</xref>; Oelkers et al., <xref ref-type="bibr" rid="B293">2018</xref>; Renforth and Campbell, <xref ref-type="bibr" rid="B339">2021</xref>).
<disp-formula id="E19"><label>(16)</label><mml:math id="M51"><mml:mtable class="eqnarray" columnalign="right"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mn>3</mml:mn><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mn>6</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x02192;</mml:mo><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>O</mml:mi><mml:mi>H</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>4</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mo>&#x0002B;</mml:mo><mml:mn>6</mml:mn><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mn>5</mml:mn><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Where <italic>X</italic> is a cation such as Mg<sup>2&#x0002B;</sup> or Ca<sup>2&#x0002B;</sup>. Successful geochemical NETs will likely include approaches for avoiding or minimizing the extent and impact of secondary minerals.</p></sec>
<sec id="s7">
<title>Kinetics</title>
<p>The field of kinetics involves the study of reaction rates, and provides the basis for reactor design and system optimization. Although conversion of alkaline minerals into carbonates is thermodynamically favored in the presence of CO<sub>2</sub>, the reactions are kinetically inhibited. To become an effective tool for climate change mitigation, conversion rates must be enhanced considerably. <xref ref-type="table" rid="T3">Table 3</xref> summarizes some common enhancements. In geochemical NETs, there are many competing effects, and trade-offs will be required. For example, maintaining a low pH can significantly increase the dissolution rate of silicate minerals but will limit the formation of carbonate minerals, while elevated temperatures favor mineral dissolution and carbonate precipitation, they also lead to lower CO<sub>2</sub> solubility. These competing effects are particularly relevant to direct carbonation. Separating dissolution and precipitation allows each process to be optimized independently (indirect carbonation). See section <italic>Ex situ</italic> for more details on direct vs. indirect approaches. Generally speaking, most geochemical NETs are CO<sub>2</sub>-mineral-water systems that can be divided into gas-solid (section Gas-Solid Kinetics), or aqueous (section Aqueous Phase Kinetics). In the latter, three main processes occur: (i) mineral dissolution (section Mineral Dissolution); (ii) CO<sub>2</sub> dissolution and hydration (section CO<sub>2</sub> Dissolution and Hydration); and (iii) precipitation of carbonate minerals (section Carbonate Precipitation). Biological influences on kinetics are discussed separately in the section Application of Biotechnology to Geochemical NETs.</p>
<sec>
<title>Gas-Solid Kinetics</title>
<p>Gas-solid kinetics are relevant to <italic>ex situ</italic> (Baciocchi et al., <xref ref-type="bibr" rid="B15">2009</xref>) and surficial (Myers and Nakagaki, <xref ref-type="bibr" rid="B282">2020</xref>) CO<sub>2</sub> mineralization, as well as DAC (McQueen et al., <xref ref-type="bibr" rid="B260">2020</xref>). These systems operate with gaseous (humidity), rather than liquid water, thus avoiding significant leaching of potentially toxic metals (El-Naas et al., <xref ref-type="bibr" rid="B87">2015</xref>). The reaction of spherical particles of natural and artificial alkaline minerals with CO<sub>2</sub> is usually limited by ion diffusion through a growing product layer, a process often described by a shrinking core model such as in Equation (17) (Yagi and Kunii, <xref ref-type="bibr" rid="B434">1955</xref>).
<disp-formula id="E21"><label>(17)</label><mml:math id="M53"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>&#x003C1;</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:msup><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mn>6</mml:mn><mml:mi>D</mml:mi><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>g</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mn>3</mml:mn><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>r</mml:mi><mml:mo>-</mml:mo><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>r</mml:mi><mml:mo>-</mml:mo><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where <italic>t</italic> is time (s), &#x003C1;<sub><italic>solid</italic></sub> is the molar density of Ca or Mg in the solid phase (mole m<sup>&#x02212;3</sup> of mineral), <italic>r</italic> is the particle radius (m), <italic>d</italic> is the thickness of the product layer (m), <italic>C</italic><sub><italic>gas</italic></sub> is the CO<sub>2</sub> concentration in the gas phase (moles m<sup>&#x02212;3</sup> of gas), and <italic>D</italic> is the carbonate ion diffusivity through the product layer (m<sup>2</sup> s<sup>&#x02212;1</sup>). The ion diffusivity has an Arrhenius temperature dependence, thus increasing temperature increases carbonation rate (Li, <xref ref-type="bibr" rid="B218">2020</xref>). According to Equation (17), using pure CO<sub>2</sub> rather than ambient air increases the reaction rate by 3 orders of magnitude whereas grinding from 10 mm to 10 &#x003BC;m increases mineralization rates by 6 orders of magnitude. Values of <italic>D</italic> for relevant minerals can vary across 7 orders of magnitude depending on the mineral composition and structure (Myers et al., <xref ref-type="bibr" rid="B283">2019</xref>). Other kinetic enhancements are possible for gas-solid processes. For example, in fluidized bed processes, the use of a nanosilica additive increased the gas-solids contact efficiency and carbonation rates of Ca(OH)<sub>2</sub> (Pontiga et al., <xref ref-type="bibr" rid="B314">2013</xref>), while attrition has been shown to prevent the build-up of passivating product layers, improving CO<sub>2</sub> uptake by CaO (Chen et al., <xref ref-type="bibr" rid="B51">2012</xref>).</p>
<p>Humidity also plays a crucial role in gas-solid approaches. For example, the rate and extent of reaction between portlandite (Ca(OH)<sub>2</sub>) and CO<sub>2(g)</sub> (60&#x02013;90&#x000B0;C) was found to increase significantly with increasing humidity, proposed to be due to the rate limiting step of dissolution of Ca(OH)<sub>2</sub> in adsorbed surface water (Shih et al., <xref ref-type="bibr" rid="B375">1999</xref>). For brucite (Mg(OH)<sub>2</sub>), dehydroxylation/rehydroxylation processes have been shown to induce morphological changes, including translamellar cracking and delamination, that can serve to enhance carbonation reactivity <italic>via</italic> disruption of the passivating product layer (McKelvy et al., <xref ref-type="bibr" rid="B258">2001</xref>; Fagerlund et al., <xref ref-type="bibr" rid="B94">2012</xref>). Humidity is found to have similar mechanistic effects on gas-solid carbonation of natural silicate minerals such as wollastonite (CaSiO<sub>3</sub>) (Longo et al., <xref ref-type="bibr" rid="B226">2015</xref>) and chrysotile (Mg<sub>3</sub>Si<sub>2</sub>O<sub>5</sub>(OH)<sub>4</sub>) (Larachi et al., <xref ref-type="bibr" rid="B203">2010</xref>, <xref ref-type="bibr" rid="B204">2012</xref>), mine tailings (Veetil and Hitch, <xref ref-type="bibr" rid="B413">2020</xref>), and industrial alkaline by-products/wastes such as air pollution control residue (Baciocchi et al., <xref ref-type="bibr" rid="B16">2006</xref>), fly ash (Liu et al., <xref ref-type="bibr" rid="B224">2018</xref>) and calcium silicate hydrates found in hydrated portland cement (Steiner et al., <xref ref-type="bibr" rid="B387">2020</xref>).</p></sec>
<sec>
<title>Aqueous Phase Kinetics</title>
<sec>
<title>Mineral Dissolution</title>
<p>Mineral dissolution is the degradation of a solid mineral in aqueous media, with the subsequent release of soluble species such as Mg<sup>2&#x0002B;</sup>/Ca<sup>2&#x0002B;</sup> and H<sub>4</sub>SiO<sub>4</sub> (e.g., Equation 6). The rate of carbon sequestration in geochemical NETs is often limited by the mineral dissolution rate. Mineral dissolution can be described by the rate law:
<disp-formula id="E22"><label>(18)</label><mml:math id="M54"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>R</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mi>S</mml:mi><mml:mi>A</mml:mi><mml:mo>.</mml:mo><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>.</mml:mo><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:msup><mml:mo>.</mml:mo><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x0220F;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msubsup><mml:mo>.</mml:mo><mml:mi>f</mml:mi><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mo>&#x00394;</mml:mo><mml:mi>G</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where <italic>SA</italic> is the reactive surface area, <italic>k</italic><sub><italic>0</italic></sub> is the standard rate constant, <italic>E</italic><sub>A</sub>/<italic>RT</italic> is apparent activation energy divided by the gas constant, <italic>R</italic>, and temperature, <italic>T</italic>, <italic>a</italic><sub><italic>i</italic></sub> is the activity of aqueous species <italic>i</italic> to the power of <italic>n</italic>, and <italic>f</italic>(&#x00394;<italic>G</italic>) is a function of the Gibbs free energy change (see Lasaga, <xref ref-type="bibr" rid="B205">1998</xref>; Black et al., <xref ref-type="bibr" rid="B28">2015</xref> for more detail).</p>
<p>As implied in Equation (18), the rate of dissolution is directly proportional to the reactive surface area (Brantley and Mellott, <xref ref-type="bibr" rid="B39">2000</xref>). For earth-surface geochemical NETs that make use of rocks, crushing and milling is needed to increase reactive surface areas (Haug et al., <xref ref-type="bibr" rid="B145">2010</xref>; Moosdorf et al., <xref ref-type="bibr" rid="B274">2014</xref>; Rigopoulos et al., <xref ref-type="bibr" rid="B345">2016</xref>). For subsurface mineralization, high vesicularity basalts provide large reactive surface areas (Galeczka et al., <xref ref-type="bibr" rid="B111">2014</xref>; Xiong et al., <xref ref-type="bibr" rid="B429">2018</xref>). Temperature also plays an important role in mineral dissolution, since the rate constant in Equation (18) greatly depends on temperature and even small increases in the temperature will largely increase mineral dissolution rates. As a result, in <italic>ex situ</italic> approaches mineral dissolution rates are often enhanced through temperature increase (Gerdemann et al., <xref ref-type="bibr" rid="B115">2007</xref>). For <italic>in situ</italic> approaches, greater depths are prioritized, since the naturally warmer underground temperatures will greatly enhance carbonation rates, by up to 76 times compared to ambient surface rocks (Paukert et al., <xref ref-type="bibr" rid="B301">2012</xref>). Indeed, fully carbonated peridotites (listevenites) give a good indication of the enormous potential of carbonation of ultramafic rocks at high temperatures (Falk and Kelemen, <xref ref-type="bibr" rid="B97">2015</xref>). Finally, for enhanced weathering at the Earth&#x00027;s surface, warm tropical regions are typically prioritized, since in these areas mineral dissolution rates are greatly accelerated (Kohler et al., <xref ref-type="bibr" rid="B194">2010</xref>).</p>
<p>The composition of the aqueous phase also plays an important role. For example, the dissolution rates of minerals such as forsterite and apatite increase linearly with decreasing pH (Brantley, <xref ref-type="bibr" rid="B38">2008</xref>). However, others may show a non-linear dependence, for instance albite has a parabola-shaped dependence, having a minimum at pH &#x0007E;5 (Gislason et al., <xref ref-type="bibr" rid="B119">2014</xref>). In some geochemical NETs, carbonic acid provides the acidity needed to enhance dissolution (see Equation 3) (O&#x00027;Connor et al., <xref ref-type="bibr" rid="B290">2000</xref>; Kanakiya et al., <xref ref-type="bibr" rid="B176">2017</xref>) while in others, organic and inorganic acids will provide acidity (van Hees et al., <xref ref-type="bibr" rid="B411">2000</xref>; Kakizawa et al., <xref ref-type="bibr" rid="B174">2001</xref>; Teir et al., <xref ref-type="bibr" rid="B400">2007a</xref>,<xref ref-type="bibr" rid="B401">b</xref>). Organic acids can also catalyze silicate dissolution by acting as chelators, which complex and solubilize cations in the mineral crystal framework (Drever and Stillings, <xref ref-type="bibr" rid="B80">1997</xref>; Lazo et al., <xref ref-type="bibr" rid="B207">2017</xref>; Oelkers et al., <xref ref-type="bibr" rid="B293">2018</xref>). Inorganic ligands, such as sulfate and phosphate (Pokrovsky et al., <xref ref-type="bibr" rid="B311">2005</xref>) may also enhance mineral dissolution.</p>
<p>Dissolution rates are also dependent on the solids&#x00027; composition. In silicate minerals, the dissolution rate is controlled by breaking of the shortest and strongest (usually the Si&#x02013;O) bonds. Thus, minerals with a low degree of silica polymerization (e.g., olivine) dissolve at faster rates than minerals with higher degrees (e.g., quartz) (Goldich, <xref ref-type="bibr" rid="B124">1938</xref>). For this reason, artificially tailored minerals such as MgO and CaO exhibit much faster dissolution rates than silicates, making them good candidates for OAE (Kheshgi, <xref ref-type="bibr" rid="B187">1995</xref>; Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>). Furthermore, calcium-rich minerals dissolve faster than their magnesium-rich counterparts, owing to the comparatively weaker Ca&#x02013;O bond (Brantley, <xref ref-type="bibr" rid="B38">2008</xref>). The presence of transition metals and their potential for reduction&#x02013;oxidation (redox) reactions, particularly Fe and Mn, can have a substantial impact on dissolution rates, e.g., Fe(III)&#x02013;O bond is stronger than Fe(II)&#x02013;O bond, suggesting that reductive conditions could increase mineral dissolution rates (Brantley, <xref ref-type="bibr" rid="B38">2008</xref>). Silicates tend to dissolve non-stoichiometrically, i.e., the ratio of release rates for the various species is not equal to the stoichiometry of the starting mineral, often because their most soluble elements, e.g., Na, K, Ca, Mg, are released preferentially (Brantley, <xref ref-type="bibr" rid="B38">2008</xref>). Such incongruent dissolution may lead to the formation of a silica-rich outer layer on the particle surfaces, inhibiting further dissolution (B&#x000E9;arat et al., <xref ref-type="bibr" rid="B19">2006</xref>; Andreani et al., <xref ref-type="bibr" rid="B10">2009</xref>; Maher et al., <xref ref-type="bibr" rid="B234">2009</xref>; Saldi et al., <xref ref-type="bibr" rid="B353">2013</xref>; Sissmann et al., <xref ref-type="bibr" rid="B379">2014</xref>). Surfaces can also be passivated by precipitating secondary minerals which limit diffusion of reactants and products (King et al., <xref ref-type="bibr" rid="B189">2010</xref>). Agitation and sonication have been employed to reduce the impact of surface passivation (Santos and Van Gerven, <xref ref-type="bibr" rid="B361">2011</xref>). Organisms can also prevent secondary mineral precipitation by secreting organic chelators (Liermann et al., <xref ref-type="bibr" rid="B220">2000</xref>; Buss et al., <xref ref-type="bibr" rid="B45">2007</xref>; Torres et al., <xref ref-type="bibr" rid="B406">2019</xref>).</p>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> shows the CO<sub>2</sub> removal potential <italic>via</italic> enhanced weathering (mineral dissolution) for the most relevant alkaline minerals contained within various types of mine tailings over a 50-year period (Bullock et al., <xref ref-type="bibr" rid="B43">2022</xref>). The removal potential is determined according to weathering (Equation 6) <italic>via</italic> a shrinking core model under two conditions: &#x0201C;unimproved&#x0201D; (pH of 6&#x02013;8, and common grain sizes for these materials, e.g., 75 &#x003BC;m for platinum group metal (PGM) tailings) and &#x0201C;improved&#x0201D; (pH of 3&#x02013;4, and grain sizes of 10 &#x003BC;m for all types). Tailings containing high abundances of olivine, serpentine and clinopyroxene show the highest CO<sub>2</sub> removal potential due to their favorable kinetics. The rates of CO<sub>2</sub> removal are estimated to become substantially augmented using improved conditions. Specifically, Bullock et al. (<xref ref-type="bibr" rid="B43">2022</xref>) estimate that the average annual global CO<sub>2</sub> removal potential of tailings weathered over 2030&#x02013;2100 to be &#x0007E;93 (unimproved conditions) to 465 (improved conditions) Mt CO<sub>2</sub> yr.<sup>&#x02212;1</sup>. These data clearly demonstrate the enormous impact that enhancing the reaction kinetics can have on the CO<sub>2</sub> removal potential of alkaline materials.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>CO<sub>2</sub> removal potential by enhanced weathering of a theoretical 1 kg of different mine tailings materials over a 50 yr time period, modeled using a shrinking core model. Minerals typically contained within each tailings material are shown (abundance based on modal mineralogy, with non-reactive or untargeted minerals not included) under unimproved (UI) (pH of 6&#x02013;8, and common grain sizes for these materials, e.g., 75 &#x003BC;m for PGM tailings) and improved (I) (pH of 3&#x02013;4, and grain sizes of 10 &#x003BC;m for all types) (Bullock et al., <xref ref-type="bibr" rid="B43">2022</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-04-879133-g0002.tif"/>
</fig></sec>
<sec>
<title>CO<sub>2</sub> Dissolution and Hydration</title>
<p>In low and neutral pH aqueous solutions CO<sub>2</sub> will react with water and form carbonic acid, H<sub>2</sub>CO<sub>3</sub>, with deprotonation to form bicarbonate, <inline-formula><mml:math id="M55"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and carbonate, <inline-formula><mml:math id="M56"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (Equations 3&#x02013;5) (Knoche, <xref ref-type="bibr" rid="B192">1980</xref>). As the pH increases, the equilibrium shifts further to the right, increasing the concentrations of <inline-formula><mml:math id="M57"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M58"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>. At higher pH values (&#x0003E;8) the CO<sub>2</sub> reaction mechanism changes, with <inline-formula><mml:math id="M59"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> forming directly <italic>via</italic> the much faster reaction (Morel and Hering, <xref ref-type="bibr" rid="B275">1993</xref>):
<disp-formula id="E23"><label>(19)</label><mml:math id="M60"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mtext>C</mml:mtext><mml:msub><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>aq</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mtext>O</mml:mtext><mml:msubsup><mml:mrow><mml:mtext>H</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>aq</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mtext>&#x021CC;HC</mml:mtext><mml:msubsup><mml:mrow><mml:mtext>O</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>aq</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
This behavior is the essence behind many geochemical NETs which use dissolved mineral alkalinity as the driving force for CO<sub>2</sub> capture and sequestration. However, in some geochemical NETs, mineral dissolution is not the limiting factor, but rather they are constrained by the CO<sub>2</sub> availability, particularly where atmospheric air is the CO<sub>2</sub>-bearing gas (Power et al., <xref ref-type="bibr" rid="B319">2013b</xref>; Gras et al., <xref ref-type="bibr" rid="B129">2017</xref>). According to Henry&#x00027;s Law, doubling the CO<sub>2</sub> partial pressure approximately doubles the CO<sub>2</sub> solubility (Henry and Banks, <xref ref-type="bibr" rid="B147">1803</xref>). Increasing CO<sub>2</sub> partial pressure can be achieved by increasing the total pressure or by increasing the gas phase CO<sub>2</sub> concentration (O&#x00027;Connor et al., <xref ref-type="bibr" rid="B290">2000</xref>, <xref ref-type="bibr" rid="B291">2001</xref>). In some geochemical NETs, CO<sub>2</sub> is artificially pre-concentrated by DAC or bioenergy with carbon capture and storage (BECCS) (Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>). Others exploit the Earth&#x00027;s natural mechanisms for pre-concentrating CO<sub>2</sub>. For example, in enhanced weathering in soils, the weathering rate of the applied alkaline minerals is accelerated due to elevated concentrations of CO<sub>2</sub> in the soil pores, which traces back to microbial/plant respiration (Robbins, <xref ref-type="bibr" rid="B346">1986</xref>), while some ocean NETs may take advantage of the higher carbon concentration by volume of seawater compared to air (de Lannoy et al., <xref ref-type="bibr" rid="B68">2018</xref>). Furthermore, diffusion of CO<sub>2</sub> into the aqueous phase can be artificially accelerated through bubbling (Legendre and Zevenhoven, <xref ref-type="bibr" rid="B211">2017</xref>; Abe et al., <xref ref-type="bibr" rid="B1">2021</xref>), stirring (Gadikota, <xref ref-type="bibr" rid="B108">2020</xref>), spraying solution in scrubbing towers (Gunnarsson et al., <xref ref-type="bibr" rid="B131">2018</xref>), spraying fluids rich in mineral dissolution products (Stolaroff et al., <xref ref-type="bibr" rid="B388">2005</xref>), sparging (Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>), or by using thin films of alkaline solution trickled over high surface area packing materials (Keith et al., <xref ref-type="bibr" rid="B180">2018</xref>). The rate of hydration of CO<sub>2</sub> into carbonic acid can be catalyzed by the enzyme carbonic anhydrase (CA) (Lindskog, <xref ref-type="bibr" rid="B221">1997</xref>) (section The Influence of Organisms and Biological Mechanisms on the Chemical Reactions Underlying Geochemical NETs). In coastal enhanced weathering, the CO<sub>2</sub> concentration from surface to seabed is constantly resupplied since the shallow, high-energy coasts enable rapid sea-air mixing and equilibration. Other factors might also influence CO<sub>2</sub> dissolution rates. For example, CO<sub>2</sub> solubility in aqueous solutions decreases with increasing temperature, as related <italic>via</italic> the temperature dependence of Henry&#x00027;s coefficient (Carroll et al., <xref ref-type="bibr" rid="B48">1991</xref>), and also with increasing salinity due to the &#x0201C;salting out effect&#x0201D; (Setschenow, <xref ref-type="bibr" rid="B371">1889</xref>; Yasunishi and Yoshida, <xref ref-type="bibr" rid="B435">1979</xref>).</p></sec>
<sec>
<title>Carbonate Precipitation</title>
<p>Most geochemical NETs require production of dry solid carbonate minerals, and in some of these approaches carbonate precipitation is the rate-limiting step. For example, in OAE, precipitation of carbonate minerals reduces the efficiency of the overall sequestration by release of CO<sub>2</sub>:
<disp-formula id="E24"><label>(20)</label><mml:math id="M61"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>a</mml:mi><mml:mi>q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x02192;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
In general, precipitation occurs when the aqueous medium is oversaturated with respect to the mineral that precipitates, i.e., the ionic activity product is higher than the equilibrium constant; whereas dissolution occurs when the aqueous medium is undersaturated with respect to these minerals (Brantley, <xref ref-type="bibr" rid="B38">2008</xref>). For calcium carbonate precipitation (Equation 7), the stoichiometric solubility product, <inline-formula><mml:math id="M62"><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, is defined by:
<disp-formula id="E25"><label>(21)</label><mml:math id="M63"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mrow><mml:msub><mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where [Ca<sup>2&#x0002B;</sup>]<sub>sat</sub> and [<inline-formula><mml:math id="M64"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>]<sub>sat</sub> are the equilibrium concentrations of each species in a solution saturated with CaCO<sub>3</sub> (at a specific temperature, pressure, and salinity). The saturation state, &#x003A9;, is then defined as:
<disp-formula id="E26"><label>(22)</label><mml:math id="M65"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mo>&#x003A9;</mml:mo><mml:mo>=</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where [Ca<sup>2&#x0002B;</sup>] and [<inline-formula><mml:math id="M66"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>] are the concentrations of each species in solution. If &#x003A9; = 1, the solution is at equilibrium with the mineral phase. If &#x003A9; &#x0003C; 1, the aqueous phase is undersaturated, and calcium carbonate is expected to dissolve, whereas if &#x003A9; &#x0003E; 1 then the aqueous phase is oversaturated, and calcium carbonate is expected to precipitate. However, even when saturated, carbonate minerals may not always precipitate. For example, the presence of <inline-formula><mml:math id="M67"><mml:msubsup><mml:mrow><mml:mtext>Mg</mml:mtext></mml:mrow><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mtext>aq</mml:mtext></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> is known to inhibit calcium carbonate formation (Morse et al., <xref ref-type="bibr" rid="B277">2007</xref>). Similarly, organic and inorganic ligands present in the aqueous phase can inhibit calcium carbonate formation <italic>via</italic> complexation and adsorption (Morse et al., <xref ref-type="bibr" rid="B277">2007</xref>), although some enhance the precipitation rates by accelerating desolvation kinetics (Schott et al., <xref ref-type="bibr" rid="B366">2009</xref>). The rate of carbonate precipitation increases with increasing pH, owing to the shift of aqueous equilibrium toward <inline-formula><mml:math id="M68"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (Ruiz-Agudo et al., <xref ref-type="bibr" rid="B350">2011</xref>). Higher temperatures and pressures result in greater precipitation of calcium carbonate and (hydrated) magnesium carbonates (Zeebe and Wolf-Gladrow, <xref ref-type="bibr" rid="B441">2001</xref>; H&#x000E4;nchen et al., <xref ref-type="bibr" rid="B137">2008</xref>). In turbulent conditions, eddy formation increases the diffusion rates of species enhancing carbonate precipitation (Dreybrodt et al., <xref ref-type="bibr" rid="B81">1997</xref>). Precipitation of CaCO<sub>3</sub> is &#x0007E;4 orders of magnitude faster than precipitation of MgCO<sub>3</sub>, as Ca<sup>2&#x0002B;</sup> is much larger than Mg<sup>2&#x0002B;</sup> and the water molecules in its coordination sphere are held more loosely, enabling faster exchange with carbonate (Schott et al., <xref ref-type="bibr" rid="B366">2009</xref>). Notably, microorganisms have been observed to catalyze the nucleation of MgCO<sub>3</sub> (McCutcheon et al., <xref ref-type="bibr" rid="B250">2019</xref>). Microorganisms can catalyze nucleation of carbonate precipitation by concentrating cations near the surfaces of cell walls or extracellular polymeric substances (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>).</p></sec></sec></sec>
<sec id="s8">
<title>Processes</title>
<p>Processes for geochemical NETs that produce solid carbonate minerals <italic>via</italic> CO<sub>2</sub> mineralization include <italic>in situ, ex situ</italic> and surficial approaches. Processes which increase the ocean&#x00027;s storage capacity of dissolved inorganic carbon (DIC) are termed OAE and include coastal enhanced weathering, electrochemical seawater splitting, and ocean liming. Enhanced weathering in soils produces both carbonate minerals (carbonation) and also lead to ocean alkalization since cations from rock dissolution will remain dissolved in water and eventually be transferred to the oceans (Renforth, <xref ref-type="bibr" rid="B337">2012</xref>; Lefebvre et al., <xref ref-type="bibr" rid="B210">2019</xref>). <xref ref-type="table" rid="T3">Table 3</xref> summarizes some of the defining features of each of these processes. Furthermore, geochemical NETs which use alkaline minerals in their flowsheets but which do not necessarily result in carbon storage are introduced in <xref ref-type="boxed-text" rid="Box1">Box 1</xref>. Note that descriptions of geochemical NETs, e.g., CO<sub>2</sub> mineralization, enhanced weathering, OAE, etc., in other sources may vary from the ones in this review, and that their defining features may overlap in one or more ways.</p>
<sec>
<title>CO<sub>2</sub> Mineralization</title>
<sec>
<title><italic>In situ</italic>&#x000A0;</title>
<p>In CCS, CO<sub>2</sub> is typically injected as a pure supercritical fluid into geological formations, such as deep sedimentary formations, salt mines, depleted oil fields, or unmineable coal seams, where it becomes trapped in rock pores and structural spaces, with minimal CO<sub>2</sub> mineralization. An impermeable caprock is needed in order to limit leakage and long-term monitoring is required (Zhang and Song, <xref ref-type="bibr" rid="B446">2014</xref>). In <italic>in situ</italic> mineralization, the focus is on mineral storage, rather than pore and structural storage. This is achieved by injecting supercritical CO<sub>2</sub>, or CO<sub>2</sub>-rich fluids, into alkaline geological rock formations. Once injected, the CO<sub>2</sub> creates a low pH zone within the rock, enhancing dissolution of the surrounding silicate minerals and causing Mg<sup>2&#x0002B;</sup> and Ca<sup>2&#x0002B;</sup> to be released (Equation 6). As mineral dissolution increases, the pH begins to increase, which in turn induces the precipitation of stable carbonate minerals (Equation 7). With mineralization there is less need for long-term monitoring of the storage efficacy compared to traditional forms of CCS, particularly when CO<sub>2</sub> is pre-dissolved prior to injection. However, pre-dissolution incurs additional cost and complexity compared to injection of pure supercritical CO<sub>2</sub> (Blondes et al., <xref ref-type="bibr" rid="B29">2019</xref>).</p>
<p>As mentioned above, there are two main types of alkaline rock formation suitable for <italic>in situ</italic> mineralization: (i) mafic rocks such as basalt, and (ii) ultramafic rocks such as peridotite and serpentinite. Due to their higher alkalinity, ultramafic rocks have greater potential for CO<sub>2</sub> mineralization per cubic volume of rock, while their exothermic reaction with CO<sub>2</sub> releases larger amounts of heat which is beneficial for the mineralization reaction kinetics (National Academies of Sciences, Engineering, and Medicine, <xref ref-type="bibr" rid="B284">2019</xref>). However, ultramafic rocks are usually found at greater depths, are less porous and permeable, and have a wider range of crystal size than mafic rocks (Kelemen and Matter, <xref ref-type="bibr" rid="B183">2008</xref>). For both, capacity is large (section Naturally Occurring Alkaline Rocks), and these rocks are widely geographically distributed (Pilorg&#x000E9; et al., <xref ref-type="bibr" rid="B309">2021</xref>). For example, extensive reserves of onshore flood basalts exist in the US, India, and Russia. However, most of the potential lies offshore, as the majority of the seafloor is composed of basalt. Although most peridotite is deeply buried, near-surface deposits can be found in locations such as Oman, United Arab Emirates, the Mediterranean, the Pacific Islands and New Zealand.</p>
<p>There are four main approaches to negative emissions <italic>via in situ</italic> mineralization which are based on the rock types and engineering methods employed, with two of them being already demonstrated at the kt CO<sub>2</sub> yr<sup>&#x02212;1</sup> removal scale (<xref ref-type="fig" rid="F3">Figure 3</xref>). In the first (i) approach, CO<sub>2</sub> is injected into porous mafic rock formations, e.g., basalt, as a supercritical fluid. An impermeable caprock is needed to minimize CO<sub>2</sub> leakages. If the rocks are not already water-saturated, then some water can be co-injected alongside the supercritical CO<sub>2</sub> to facilitate mineralization. This has been successfully demonstrated in 2013 by the Wallula project, whereby 977 tons of water-saturated supercritical CO<sub>2</sub> from the industry were injected into a permeable Columbia River basalt at a depth of 900 m over a 3-week period (McGrail et al., <xref ref-type="bibr" rid="B257">2011</xref>, <xref ref-type="bibr" rid="B256">2014</xref>, <xref ref-type="bibr" rid="B254">2017a</xref>,<xref ref-type="bibr" rid="B255">b</xref>; Spane et al., <xref ref-type="bibr" rid="B384">2012</xref>; White et al., <xref ref-type="bibr" rid="B423">2020</xref>; Holliman et al., <xref ref-type="bibr" rid="B153">2021</xref>). Although CO<sub>2</sub> mineralization was observed in sidewall core samples, evidence suggests that much of the CO<sub>2</sub> remains structurally trapped (White et al., <xref ref-type="bibr" rid="B423">2020</xref>; Holliman et al., <xref ref-type="bibr" rid="B153">2021</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Schematics of four negative emissions approaches for <italic>in situ</italic> mineralization, i.e., (i) water-charged supercritical CO<sub>2</sub> injection into mafic rock; (ii) CO<sub>2</sub>-bearing fluids circulated through mafic rock; (iii) CO<sub>2</sub>-bearing fluids circulated through ultramafic rock; and (iv) seawater circulation through ultramafic rock.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-04-879133-g0003.tif"/>
</fig>
<p>In the second (ii) approach, an impermeable caprock is not present and thus pre-dissolution of CO<sub>2</sub> in reservoir fluids or seawater is required, prior to injection into porous basalt. Recirculation of the CO<sub>2</sub>-carrier fluids helps maintain a constant rock formation pressure, reducing the chance of seismic activity, as well as enabling monitoring of the extent of mineralization <italic>via</italic> tracers such as <sup>14</sup>C rich CO<sub>2</sub> or Ca isotopes (Matter et al., <xref ref-type="bibr" rid="B245">2016</xref>; Sn&#x000E6;bj&#x000F6;rnsd&#x000F3;ttir et al., <xref ref-type="bibr" rid="B382">2017</xref>; G&#x000ED;slason et al., <xref ref-type="bibr" rid="B120">2018</xref>; von Strandmann et al., <xref ref-type="bibr" rid="B416">2019</xref>; Clark et al., <xref ref-type="bibr" rid="B55">2020</xref>). This approach was adopted at a geothermal energy plant in Hellishei&#x000F0;i, Iceland (Carbfix project). Specifically, CO<sub>2</sub> (and H<sub>2</sub>S) emitted by the process were pre-dissolved by sparging in water and then co-injected with geothermal brine into highly-fractured basalt at depths of 300&#x02013;1000 m (Matter et al., <xref ref-type="bibr" rid="B243">2009</xref>; Gislason et al., <xref ref-type="bibr" rid="B121">2010</xref>; Gutknecht et al., <xref ref-type="bibr" rid="B132">2018</xref>). Each ton of CO<sub>2</sub> required &#x0007E;25 tons of water. To date, more than 70,000 tons of CO<sub>2</sub> have been injected with an estimated 60% successfully mineralized (Clark et al., <xref ref-type="bibr" rid="B55">2020</xref>). In 2021, the world&#x00027;s first DAC-mineralization plant (Project Orca) went live as a collaboration between CarbFix and the company Climeworks, with the goal to annually remove 4 kt CO<sub>2</sub>. Modeling studies indicate that basalt carbonation may be limited by alkalinity constraints and lead to the existence of unreacted free-phase CO<sub>2</sub> (Tutolo et al., <xref ref-type="bibr" rid="B408">2021</xref>). However, recent field-scale three-dimensional transport models of the CarbFix injection site indicate mineralization rates remain high even after many years of injection and that 300 Mt CO<sub>2</sub> can be stored using just 10% of the rock pore space (Ratouis et al., <xref ref-type="bibr" rid="B330">2022</xref>). The role that secondary minerals, e.g., clays and zeolites, play in the reactivity of CO<sub>2</sub> with basalt is yet to be fully understood. Furthermore, the evolution of dissolution and precipitation fronts and their effect on rock permeability and fluid flow during the injection period is another phenomenon with great uncertainty (Lisabeth et al., <xref ref-type="bibr" rid="B222">2017</xref>; Peuble et al., <xref ref-type="bibr" rid="B306">2018</xref>).</p>
<p>In the third (iii) approach, alkaline geological fluids are extracted from ultramafic rock formations, such as peridotite, and allowed to absorb CO<sub>2</sub> from air in surface ponds creating DIC. The fluids are then recirculated through the rock where DIC reacts and forms carbonate minerals. This speculative approach is based on natural terrestrial alkaline springs and their associated surface travertine deposits (Kelemen and Matter, <xref ref-type="bibr" rid="B183">2008</xref>; Kelemen et al., <xref ref-type="bibr" rid="B184">2011</xref>; Power et al., <xref ref-type="bibr" rid="B319">2013b</xref>). However, the circulation of fluids with such low concentrations of dissolved carbon could be prohibitively expensive. Therefore, it has been suggested that this approach can be scaled cost effectively by combination with DAC that produces low purity (3&#x02013;5% wt.) CO<sub>2</sub> (Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>). Although the process seems promising, challenges remain. For example, as the fluid pathways become filled with product carbonate minerals the permeability of the rock formation would reduce, inhibiting CO<sub>2</sub> transport to unreacted rock further from the injection well and causing the system to become self-limiting. On the other hand, volume expansion during carbonation can create enough force to fracture the host rock, maintaining permeability. Such &#x0201C;reaction-driven cracking&#x0201D; could increase permeability, thus enhancing the efficiency of <italic>in situ</italic> mineralization in peridotite (Kelemen and Hirth, <xref ref-type="bibr" rid="B182">2012</xref>; Kelemen et al., <xref ref-type="bibr" rid="B186">2013</xref>; Sohn, <xref ref-type="bibr" rid="B383">2013</xref>; Evans et al., <xref ref-type="bibr" rid="B92">2020</xref>). Overall, the balance between clogging and cracking during <italic>in situ</italic> mineralization in peridotite remains a key uncertainty.</p>
<p>In the fourth (iv) and final approach, seawater is circulated through ultramafic rocks near the oceans (Kelemen and Matter, <xref ref-type="bibr" rid="B183">2008</xref>). Although largely speculative, some natural analogs exist which indicate potential feasibility (Grozeva et al., <xref ref-type="bibr" rid="B130">2017</xref>; Kelemen, <xref ref-type="bibr" rid="B181">2017</xref>; Picazo et al., <xref ref-type="bibr" rid="B308">2020</xref>). This approach simultaneously increases alkalinity of the ocean, while removing DIC in seawater by reaction with peridotite, thus creating a double driving force for CO<sub>2</sub> drawdown from the air into the ocean <italic>via</italic> manipulation of the Revelle factor (Egleston et al., <xref ref-type="bibr" rid="B84">2010</xref>). Thermal gradients between the rock and seawater could drive natural circulation.</p>
<p>DAC with <italic>in situ</italic> mineralization is energy intensive and can require significant heat for regenerating capture sorbents, in addition to significant power input for CO<sub>2</sub>/air sparging and fluid pumping. In both the CarbFix and Orca projects, the heat and power needs are met by geothermal energy (Marieni et al., <xref ref-type="bibr" rid="B238">2018</xref>; Adams et al., <xref ref-type="bibr" rid="B2">2020</xref>). Geothermal fluids typically have temperatures of 70&#x02013;250&#x000B0;C (Zarrouk and Moon, <xref ref-type="bibr" rid="B440">2014</xref>) enabling integration with DAC systems whose synthetic sorbents (usually amine-based polymers) are regenerated in a similar range. Tectonically active areas such as the Western United States, Alaska, Hawaii, British Columbia, Indonesia, the Philippines, Italy, Turkey, New Zealand, Japan, Iceland, Kenya, Mexico, El Salvador, and Central America (Zarrouk and Moon, <xref ref-type="bibr" rid="B440">2014</xref>) could provide low-cost opportunities for geothermal powered DAC and mineralization. As new geothermal technologies develop, such opportunities could expand elsewhere (Olasolo et al., <xref ref-type="bibr" rid="B296">2016</xref>). Alternatively, the CO<sub>2</sub> and power requirement for <italic>in situ</italic> mineralization could be simultaneously provided by bioenergy (Turner et al., <xref ref-type="bibr" rid="B407">2018</xref>), which has the advantage of lower levelized cost of CO<sub>2</sub> capture than DAC. However, pipelines would be needed for transportation of CO<sub>2</sub>, and issues with biodiversity, land requirements, sustainability, and scalability could arise (Burns and Nicholson, <xref ref-type="bibr" rid="B44">2017</xref>; Smith et al., <xref ref-type="bibr" rid="B380">2019</xref>).</p>
<p><italic>In situ</italic> mineralization may have fewer adverse environmental and human health effects than surface-based geochemical NETs, since materials are mostly contained beneath the Earth&#x00027;s surface where they have little direct impact on ecosystems and biodiversity, and typically use less land and fresh water than other NETs (National Academies of Sciences, Engineering, and Medicine, <xref ref-type="bibr" rid="B284">2019</xref>). Wastewater could be co-injected with CO<sub>2</sub> for dual benefit (Phan et al., <xref ref-type="bibr" rid="B307">2018</xref>). <italic>In situ</italic> mineralization could have other potential co-benefits, such as enabling the transition of workers from fossil fuel industries into the clean energy sector where near-identical skills are required. Reaction-driven cracking could be applied to <italic>in situ</italic> mining of metals and uranium (Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>). On the other hand, there are potential risks with the injection of CO<sub>2</sub> and fluids for geological storage, including: (i) production and leakage of methane (CH<sub>4</sub>) and hydrogen sulfide (H<sub>2</sub>S) to the atmosphere by CO<sub>2</sub>-reducing bacteria (Guyot et al., <xref ref-type="bibr" rid="B133">2011</xref>); (ii) groundwater acidification (Li et al., <xref ref-type="bibr" rid="B219">2018</xref>); (iii) heavy metal mobilization, which could contaminate local water supply (de Orte et al., <xref ref-type="bibr" rid="B69">2014</xref>); and (iv) increasing seismicity (Blondes et al., <xref ref-type="bibr" rid="B29">2019</xref>). The latter presented certain key challenges, which were identified during the initial stages of the CarbFix project where several (micro)seismic events were initially observed (Hj&#x000F6;rleifsd&#x000F3;ttir et al., <xref ref-type="bibr" rid="B152">2021</xref>). Improved engineering methods, i.e., constant recirculation of the fluids, reduced seismic occurrences, while engagement with local residents aided public acceptance of the project. Partnership with Climeworks, as well as the addition of a geothermal lagoon for bathing also aided in improving public acceptance (Arad&#x000F3;ttir and Hj&#x000E1;lmarsson, <xref ref-type="bibr" rid="B11">2018</xref>).</p></sec>
<sec>
<title><italic>Ex situ</italic>&#x000A0;</title>
<p><italic>Ex situ</italic> routes were the first approaches for CO<sub>2</sub> mineralization to be investigated for the purpose of climate change mitigation (Lackner et al., <xref ref-type="bibr" rid="B202">1995</xref>), particularly focusing on reducing point source emissions. <italic>Ex situ</italic> mineralization involves reacting high surface area alkaline minerals with CO<sub>2</sub>-rich gases, mainly in engineered reactors (Gerdemann et al., <xref ref-type="bibr" rid="B115">2007</xref>). <italic>Ex situ</italic> approaches using crushed natural rocks rich in minerals such as olivine (Kwon et al., <xref ref-type="bibr" rid="B198">2011</xref>), serpentine (Park and Fan, <xref ref-type="bibr" rid="B300">2004</xref>; Wang and Maroto-Valer, <xref ref-type="bibr" rid="B418">2011b</xref>; Nduagu et al., <xref ref-type="bibr" rid="B286">2012</xref>), and wollastonite (Huijgen et al., <xref ref-type="bibr" rid="B158">2006</xref>; Daval et al., <xref ref-type="bibr" rid="B66">2009</xref>; Xu et al., <xref ref-type="bibr" rid="B431">2019</xref>) have been investigated, but industrial alkaline wastes and by-products, such as mine tailings (Bod&#x000E9;nan et al., <xref ref-type="bibr" rid="B31">2014</xref>) or iron and steel slags (Yadav and Mehra, <xref ref-type="bibr" rid="B432">2017</xref>), are likely better suited to <italic>ex situ</italic> processes owing to greater reactivity than their natural counterparts, as discussed in the section Artificial Alkaline Minerals&#x02014;Industrial by-Products and Wastes, and Tailored Minerals. High temperatures and pressures (Domingo et al., <xref ref-type="bibr" rid="B76">2006</xref>), high CO<sub>2</sub> partial pressures (Li et al., <xref ref-type="bibr" rid="B215">2019</xref>), additives (Krevor and Lackner, <xref ref-type="bibr" rid="B196">2009</xref>), and mechanical (Fabian et al., <xref ref-type="bibr" rid="B93">2010</xref>; Li and Hitch, <xref ref-type="bibr" rid="B214">2018</xref>), or heat activation (Farhang et al., <xref ref-type="bibr" rid="B98">2019</xref>) could be used to capture and store CO<sub>2</sub> within timeframes relevant to industrial processes. Although <italic>ex situ</italic> processes are likely best integrated with readily available sources of concentrated CO<sub>2</sub> from industry, integration with DAC may also be possible. For example, OCO Technology, which makes carbonate construction materials, is now working with London-based Mission Zero Technologies, to use CO<sub>2</sub> sourced by air capture (OCO Technology, <xref ref-type="bibr" rid="B289">2021</xref>).</p>
<p><italic>Ex situ</italic> processes can be broadly categorized as either &#x0201C;direct&#x0201D; or &#x0201C;indirect.&#x0201D; Direct CO<sub>2</sub> mineralization occurs in one step, as a gas-solid (Kwon et al., <xref ref-type="bibr" rid="B198">2011</xref>; Liu et al., <xref ref-type="bibr" rid="B224">2018</xref>) or as a gas-liquid-solid process (Benhelal et al., <xref ref-type="bibr" rid="B23">2019</xref>; Li et al., <xref ref-type="bibr" rid="B215">2019</xref>). Indirect CO<sub>2</sub> mineralization methods use multiple steps which overall result in the dissolution of a silicate mineral and the creation of a carbonate mineral. First Mg and/or Ca is extracted from the mineral feedstocks, followed by reaction with CO<sub>2</sub>. This is usually achieved by a pH swing approach using reagents, e.g., hydrochloric acid (Lackner et al., <xref ref-type="bibr" rid="B202">1995</xref>; Ferrufino et al., <xref ref-type="bibr" rid="B101">2018</xref>), acetic acid (Kakizawa et al., <xref ref-type="bibr" rid="B174">2001</xref>), ammonium salts (Wang and Maroto-Valer, <xref ref-type="bibr" rid="B417">2011a</xref>; Highfield et al., <xref ref-type="bibr" rid="B150">2012</xref>), ammonia and brine (based on solvay process) (Huang et al., <xref ref-type="bibr" rid="B156">2001</xref>) or molten salt (MgCl<sub>2</sub>&#x000B7;nH<sub>2</sub>O) (Wendt et al., <xref ref-type="bibr" rid="B422">1998</xref>), where the acidic reagents aid in mineral dissolution and the alkali reagents aid in carbonate precipitation. Reagents should be recycled as part of the process. Direct processes have the advantage of greater simplicity, whereas indirect approaches have the advantage of faster throughput and the production of high purity carbonate minerals (Zevenhoven et al., <xref ref-type="bibr" rid="B443">2011</xref>). Direct mineralization requires pure CO<sub>2</sub> for reaction (necessitating integration with either DAC or BECCS), whereas some indirect processes produce reactive alkaline hydroxides that may be suitable for direct reaction with atmospheric CO<sub>2</sub>.</p>
<p><italic>Ex situ</italic> approaches can also produce useful carbonated products (Fern&#x000E1;ndez Bertos et al., <xref ref-type="bibr" rid="B100">2004</xref>; Hills et al., <xref ref-type="bibr" rid="B151">2020</xref>; Qiu, <xref ref-type="bibr" rid="B328">2020</xref>). Other valuable side products such as hydrogen could enable <italic>ex situ</italic> processes to become more economical (Kularatne et al., <xref ref-type="bibr" rid="B197">2018</xref>). However, life cycle assessments (LCAs) frequently show that not all <italic>ex situ</italic> approaches result in negative emissions (Ncongwane et al., <xref ref-type="bibr" rid="B285">2018</xref>; Thonemann et al., <xref ref-type="bibr" rid="B404">2022</xref>). Further information on different <italic>ex situ</italic> processes can be found elsewhere (Sanna et al., <xref ref-type="bibr" rid="B359">2014</xref>; Veetil and Hitch, <xref ref-type="bibr" rid="B413">2020</xref>; Yadav and Mehra, <xref ref-type="bibr" rid="B433">2021</xref>).</p></sec>
<sec>
<title>Surficial</title>
<p>Surficial CO<sub>2</sub> mineralization is any process by which low purity CO<sub>2</sub> (either from the air, or low CO<sub>2</sub> concentration gases and liquids) is reacted with alkaline materials in piles, fields, pools, or large indoor spaces such as greenhouses. Surficial processes generally require less intensive reaction conditions than <italic>ex situ</italic> processes, with carbon removal occurring over weeks to months, rather than minutes. Surficial approaches allow minerals to be carbonated near to their site of production, thus reducing mineral transportation costs. Like <italic>ex situ</italic> approaches, surficial approaches enable the sale of the carbonated minerals, for example, as aggregates for the building and construction sector (Huntzinger et al., <xref ref-type="bibr" rid="B159">2009a</xref>,<xref ref-type="bibr" rid="B160">b</xref>; Liu et al., <xref ref-type="bibr" rid="B223">2021</xref>).</p>
<p>Surficial mineralization of crushed alkaline materials was investigated by Myers and Nakagaki (<xref ref-type="bibr" rid="B282">2020</xref>) who proposed a gas-solid method whereby finely crushed materials are spread thinly in vertical tiers in a greenhouse. Solar panels drive fans which continuously supply fresh air over the layers of material and trays of water provide the necessary humidity. This approach suggested the use of a variety of alkaline materials from natural mafic and ultramafic rocks to anthropogenic materials such as slag and lime. Other surficial approaches have investigated carbonation of existing mafic and ultramafic mine tailings (Wilson et al., <xref ref-type="bibr" rid="B427">2006</xref>; Power et al., <xref ref-type="bibr" rid="B316">2010</xref>, <xref ref-type="bibr" rid="B321">2014</xref>, <xref ref-type="bibr" rid="B315">2020</xref>; Mervine et al., <xref ref-type="bibr" rid="B263">2018</xref>; Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>) and industrial wastes such as slag (Stolaroff et al., <xref ref-type="bibr" rid="B388">2005</xref>). Artificial materials are usually favored due to their greater reactivity than natural minerals. In general, most industrial wastes and by-products (<xref ref-type="table" rid="T2">Table 2</xref>) present promising opportunities for surficial mineralization due to their wide availability and relatively low cost (Renforth, <xref ref-type="bibr" rid="B338">2019</xref>).</p>
<p>CO<sub>2</sub> availability is often the limiting factor in ambient weathering of mine tailings and other industrial alkaline wastes (Wilson et al., <xref ref-type="bibr" rid="B425">2009</xref>; Pullin et al., <xref ref-type="bibr" rid="B327">2019</xref>). Therefore, increasing the CO<sub>2</sub> supply in surficial processes using DAC to provide low purity CO<sub>2</sub> could lower overall costs compared to air (Kelemen et al., <xref ref-type="bibr" rid="B185">2020</xref>). While higher purity CO<sub>2</sub> could theoretically be used, significant losses would occur for systems which are not closed. The availability of humidity in the air could also be a limiting in some cases, with some studies quoting a minimum requirement of 55&#x02013;60% relative humidity required for the reaction to take place (Erans et al., <xref ref-type="bibr" rid="B89">2020</xref>; Samari et al., <xref ref-type="bibr" rid="B355">2020</xref>).</p>
<p>Surficial mineralization of anthropogenic waste materials may serve a dual purpose of waste management (<italic>via</italic> a reduction in liability associated with hazardous materials) in addition to CO<sub>2</sub> removal. This may be achievable at greater scale and lower cost than <italic>ex situ</italic> approaches. For example, the building and construction industry is thought to be accountable for 40% of solid waste worldwide (Shan et al., <xref ref-type="bibr" rid="B372">2017</xref>). Stockpiles of steel slag produce highly alkaline leachates (pH &#x0003E; 10) (Yi et al., <xref ref-type="bibr" rid="B436">2012</xref>) that can lead to environmental issues surrounding potential heavy metal mobilization and local pollution (Mayes et al., <xref ref-type="bibr" rid="B247">2008</xref>). Carbonation reduces the pH of these wastes, and reduces the mobility of toxic metals. Similarly, carbonation destroys the hazardous asbestiform aspect of some mine tailings (Bobicki et al., <xref ref-type="bibr" rid="B30">2012</xref>). Likewise, 70 million tons of highly alkaline red mud, a waste product of alumina production, are generated annually. Disposal of this waste is challenging due to aluminum toxicity and leaching of alkalinity into groundwater supplies (Bobicki et al., <xref ref-type="bibr" rid="B30">2012</xref>). Carbonation mitigates these effects (Renforth, <xref ref-type="bibr" rid="B337">2012</xref>) and enables the products to be used as a soil amendment, a reagent for removal of nitrogen and phosphorus from wastewater, a fertilizer additive, brick manufacture, plastic filler, and cement production (Bonenfant et al., <xref ref-type="bibr" rid="B33">2008</xref>).</p>
<p>Most of the work conducted on mineralization processes has focused on <italic>ex situ</italic> approaches where high conversion can be reached rapidly (Sanna et al., <xref ref-type="bibr" rid="B359">2014</xref>). Alternative surficial approaches are emerging which can potentially combine the scalability of enhanced weathering with the ability to produce useful carbonate products, or to remediate hazardous industrial mineral wastes. However, the kinetics of ambient mineralization are poorly understood, and more work is needed.</p></sec></sec>
<sec>
<title>Enhanced Weathering in Soils</title>
<p>Enhanced weathering in soils aims to accelerate the natural process of weathering through the spreading of crushed Mg- and Ca-rich silicate rocks in agricultural, urban, and forest soils (Renforth, <xref ref-type="bibr" rid="B337">2012</xref>; Hartmann et al., <xref ref-type="bibr" rid="B142">2013</xref>; Beerling et al., <xref ref-type="bibr" rid="B21">2020</xref>; Haque et al., <xref ref-type="bibr" rid="B140">2020b</xref>). Carbonate rocks, such as limestone or dolomite, could also be used for enhanced weathering in soils, however, (i) they are unlikely to achieve the same spatial flux of alkalinity (Renforth and Campbell, <xref ref-type="bibr" rid="B339">2021</xref>); (ii) they have a lower CO<sub>2</sub> sequestration potential; and (iii) they deliver fewer co-benefits than silicate rocks (Beerling et al., <xref ref-type="bibr" rid="B22">2018</xref>). Through enhanced weathering in soils, atmospheric CO<sub>2</sub> is drawn down into the soil, dissolved into porewaters and transformed into bicarbonate (<inline-formula><mml:math id="M69"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) and carbonate (<inline-formula><mml:math id="M70"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) anions. The result of this process includes carbon stored as carbonate minerals in soils, or dissolved bicarbonates and carbonates draining into surface waters and eventually transported to the ocean where they contribute to ocean alkalinity (Renforth and Campbell, <xref ref-type="bibr" rid="B339">2021</xref>). Depending on the type of mineral used, enhanced weathering in soils has the potential to remove between 0.3 and 1.25 tons of atmospheric CO<sub>2</sub> per ton of mineral dissolved (Renforth, <xref ref-type="bibr" rid="B337">2012</xref>; Moosdorf et al., <xref ref-type="bibr" rid="B274">2014</xref>; Haque et al., <xref ref-type="bibr" rid="B141">2019</xref>), although the maximum scalable potential when using rocks is &#x0003C;1. Cost estimates for enhanced weathering in soils vary by country ranging from US$55&#x02013;190 per ton of CO<sub>2</sub> removed, with estimates for China, India, Indonesia or Brazil at the lower end, and USA, Canada and European countries at the higher end of the cost range (Beerling et al., <xref ref-type="bibr" rid="B21">2020</xref>).</p>
<p>The weathering rate of silicate minerals depends on several abiotic and biotic factors. Specifically, it increases with increasing surface area (Strefler et al., <xref ref-type="bibr" rid="B389">2018</xref>), while higher pH, lower temperature, and precipitation rates, along with varying soil CO<sub>2</sub> partial pressure can negatively affect the weathering rates (Verbruggen et al., <xref ref-type="bibr" rid="B414">2021</xref>). Biogeochemical and biomechanical activity can also affect weathering rates in soils (Vicca et al., <xref ref-type="bibr" rid="B415">2022</xref>). Plants may enhance silicate mineral weathering in soils through their roots and associated mycorrhizal fungi, <italic>via</italic> diverse mechanisms such as the release of organic acids (Taylor et al., <xref ref-type="bibr" rid="B399">2009</xref>; Thorley et al., <xref ref-type="bibr" rid="B405">2015</xref>; Verbruggen et al., <xref ref-type="bibr" rid="B414">2021</xref>) and secretion of acids or stimulation of acid-generating nitrification by nitrogen-fixing plants (Bolan et al., <xref ref-type="bibr" rid="B32">1991</xref>; Epihov et al., <xref ref-type="bibr" rid="B88">2017</xref>; Perakis and Pett-Ridge, <xref ref-type="bibr" rid="B304">2019</xref>). Invertebrates in soil also contribute to weathering, both chemically, through the action of gut microbiota, and mechanically by biopedturbation (Van Groenigen et al., <xref ref-type="bibr" rid="B410">2019</xref>; Vicca et al., <xref ref-type="bibr" rid="B415">2022</xref>).</p>
<p>Besides capturing CO<sub>2</sub>, enhanced weathering in soils also presents potential associated benefits. For example, soil pH is increased by alkalinity fluxes, eroded soils are replenished in the long-term with macro (e.g., Mg, Ca, K, P, and S) and micronutrients (e.g., B, Mo, Cu, Fe, Mn, Zn, and Ni) (Leonardos et al., <xref ref-type="bibr" rid="B212">1987</xref>; Hartmann et al., <xref ref-type="bibr" rid="B142">2013</xref>; Anda et al., <xref ref-type="bibr" rid="B9">2015</xref>), while plant resilience to biotic and abiotic stress improves (Beerling et al., <xref ref-type="bibr" rid="B22">2018</xref>). Particularly in agricultural land, enhanced weathering in soils could help revert agricultural soil erosion, act as a liming agent, and help reduce the use of fertilizers and pesticides (Kantola et al., <xref ref-type="bibr" rid="B178">2017</xref>; Beerling et al., <xref ref-type="bibr" rid="B22">2018</xref>, <xref ref-type="bibr" rid="B21">2020</xref>; Haque et al., <xref ref-type="bibr" rid="B140">2020b</xref>). As croplands cover 10% of the Earth&#x00027;s land surface (Monfreda et al., <xref ref-type="bibr" rid="B270">2008</xref>), there is potential for large-scale application. Additionally, the equipment currently used in farming (e.g., lime spreaders) can be easily adapted to spread ground rocks on agricultural lands. Forested areas also provide opportunity for enhanced weathering in soils. The associated benefits of applying silicate rock dust on soils could promote plant growth and survival rate, through replenishing soil nutrients (Leonardos et al., <xref ref-type="bibr" rid="B212">1987</xref>; Hartmann et al., <xref ref-type="bibr" rid="B142">2013</xref>; Anda et al., <xref ref-type="bibr" rid="B9">2015</xref>) and through increasing plant resilience to external stresses (Beerling et al., <xref ref-type="bibr" rid="B22">2018</xref>). Moreover, mycorrhizal fungi associated with plant roots are one of the main drivers of silicate rock weathering in soils (Taylor et al., <xref ref-type="bibr" rid="B399">2009</xref>; Thorley et al., <xref ref-type="bibr" rid="B405">2015</xref>; Verbruggen et al., <xref ref-type="bibr" rid="B414">2021</xref>). Urban and brownfield soils also present certain advantages for soil enhanced weathering (Manning and Renforth, <xref ref-type="bibr" rid="B236">2013</xref>). In urban soils, enhanced weathering can be integrated in the landscape design to create carbon sinks, such as &#x0201C;carbon capture gardens,&#x0201D; while brownfields have the potential to develop value by removing CO<sub>2</sub> as part of their remediation process (Manning and Renforth, <xref ref-type="bibr" rid="B236">2013</xref>).</p>
<p>Alongside its many potential co-benefits, enhanced weathering in soils also has several drawbacks and risks, associated with comminution (which is the most energy demanding step of the process) (Renforth, <xref ref-type="bibr" rid="B337">2012</xref>), transportation (as the distance from quarry to field increases, the CO<sub>2</sub>eq emissions increase and by extension the CO<sub>2</sub> sequestration potential declines) (Lefebvre et al., <xref ref-type="bibr" rid="B210">2019</xref>), and pollutants embedded into the mineral matrix being released in the environment through weathering (Haque et al., <xref ref-type="bibr" rid="B139">2020a</xref>). For example, depending on the chemical composition of the parent material, the weathering of silicate minerals such as olivine might release heavy metals including chromium (Cr), nickel (Ni), or other elements [e.g., silicon (Si)], affecting the receiving ecosystems. Particularly in croplands, if these elements are present in concentrations higher than recommended by soil quality guidelines, they could be incorporated in the food chain, acting as pollutants and also affecting human and environmental health (ten Berge et al., <xref ref-type="bibr" rid="B402">2012</xref>; Haque et al., <xref ref-type="bibr" rid="B139">2020a</xref>). Plants with metal-accumulating mechanisms have been proposed as a strategy for preventing contamination of soils and water with toxic metals during enhanced weathering (Suhrhoff, <xref ref-type="bibr" rid="B391">2022</xref>). There are also concerns about the effect of alkalinity addition to freshwater ecosystems, which have been shown to be sensitive to pH changes (Morgan, <xref ref-type="bibr" rid="B276">1987</xref>; Wyatt and Stevenson, <xref ref-type="bibr" rid="B428">2010</xref>; Pulido et al., <xref ref-type="bibr" rid="B326">2012</xref>). Furthermore, the mining of natural rocks can have an ecological impact on wildlife, and/or require deforestation (Edwards et al., <xref ref-type="bibr" rid="B83">2017</xref>). To reduce the need for mining and lower the overall cost, silicate-rich non-hazardous by-products or wastes from industrial processes, such as iron and steel slag (Das et al., <xref ref-type="bibr" rid="B64">2019</xref>) or cement kiln dust (Beerling et al., <xref ref-type="bibr" rid="B21">2020</xref>), can be used. Nevertheless, long-term comprehensive field studies across different climates and soil types are required to assess the suitability of spreading industrial alkaline wastes or by-products in soils (Beerling et al., <xref ref-type="bibr" rid="B21">2020</xref>).</p>
<p>Finally, enhanced weathering in soils could be combined with other NETs, such as afforestation or reforestation, or with the feedstock crops used in BECCS and biochar. A combination of different approaches implemented together has a greater potential of achieving the CO<sub>2</sub> removal capacity that is needed (Minx et al., <xref ref-type="bibr" rid="B266">2018</xref>) and reducing operational costs (Beerling et al., <xref ref-type="bibr" rid="B22">2018</xref>). Additionally, combining enhanced weathering in soils with afforestation or reforestation and biochar could also lead to synergies, both through negating one another&#x00027;s potential negative impacts, and through increasing the carbon capture uptake (Amann and Hartmann, <xref ref-type="bibr" rid="B8">2019</xref>). <xref ref-type="fig" rid="F4">Figure 4</xref> shows the synergistic effects of combining enhanced weathering in soils, BECCS, afforestation/reforestation, and biochar. One proposed co-deployment scenario is the combination of enhanced weathering and biochar onto land used to grow crops for BECCS. In this scenario, the crushed rocks would act as a source of micro- and macronutrients (Leonardos et al., <xref ref-type="bibr" rid="B212">1987</xref>; Hartmann et al., <xref ref-type="bibr" rid="B142">2013</xref>; Anda et al., <xref ref-type="bibr" rid="B9">2015</xref>), while biochar would increase nutrient release (Atkinson et al., <xref ref-type="bibr" rid="B13">2010</xref>) and crop productivity (Jeffery et al., <xref ref-type="bibr" rid="B168">2011</xref>; Kantola et al., <xref ref-type="bibr" rid="B178">2017</xref>).</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Summary of effects from combining terrestrial NETs: enhanced weathering, biochar, afforestation/reforestation and bioenergy with carbon capture and storage (BECCS). Adapted from Amann and Hartmann (<xref ref-type="bibr" rid="B8">2019</xref>).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-04-879133-g0004.tif"/>
</fig></sec>
<sec>
<title>Ocean Alkalinity Enhancement</title>
<p>Seawater covers the majority of the Earth&#x00027;s surface (Shiklomanov, <xref ref-type="bibr" rid="B376">1993</xref>) and is a large natural reservoir of carbon. Specifically, DIC in ocean water, which is dissolved CO<sub>2</sub> gas and bicarbonate and carbonate ions, is 140 times higher, by volume, than gaseous carbon in the atmosphere (de Lannoy et al., <xref ref-type="bibr" rid="B68">2018</xref>). An equilibrium between atmospheric CO<sub>2</sub> and surface ocean waters exists, described by the Revelle factor, which accounts for &#x0007E;25% of anthropogenic (surplus) CO<sub>2</sub> emissions already absorbed (Watson et al., <xref ref-type="bibr" rid="B420">2020</xref>). The main mechanism for CO<sub>2</sub> mineralization in the oceans is its dissolution in seawater, since when CO<sub>2</sub> reacts with water (H<sub>2</sub>O) it forms carbonic acid (H<sub>2</sub>CO<sub>3</sub>), bicarbonate (<inline-formula><mml:math id="M71"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) and acidity (H<sub>3</sub>O<sup>&#x0002B;</sup>), the latter mainly neutralized by carbonate ions (<inline-formula><mml:math id="M72"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) forming again bicarbonate, but also contributing to acidification (Egleston et al., <xref ref-type="bibr" rid="B84">2010</xref>). As a result, the oceans are annually sequestering &#x0007E;0.5 Gt CO<sub>2</sub> from the atmosphere (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>). However, the capacity of the oceans for CO<sub>2</sub> uptake is not infinite and cannot cope with the increasing anthropogenic CO<sub>2</sub> emissions. Furthermore, CO<sub>2</sub> is acidic and therefore its uptake by surface ocean waters comes at the expense of their natural alkalinity, i.e., their mean pH has dropped by &#x0007E;0.1 units over the past two centuries from an initial average of &#x0007E;8.2 (Caldeira et al., <xref ref-type="bibr" rid="B46">2005</xref>), and is projected to further decline by &#x0007E;0.3 by 2100 (Figuerola et al., <xref ref-type="bibr" rid="B102">2021</xref>). Note that pH scale is logarithmic and therefore the &#x0007E;0.1 drop corresponds to around a 26% reduction of the surface ocean waters&#x00027; mean alkalinity.</p>
<p>Research has previously explored injection of CO<sub>2</sub> into the deep ocean (Caldeira et al., <xref ref-type="bibr" rid="B46">2005</xref>), however, the possibility of storing neutralized CO<sub>2</sub> as increased alkalinity is gaining increasing attention (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>), along with the removal of DIC from seawater. Specifically, two main ocean-based NETs include: (i) removing carbon (DIC) from seawater, similar to DAC, using electrochemical processes (de Lannoy et al., <xref ref-type="bibr" rid="B68">2018</xref>; Eisaman et al., <xref ref-type="bibr" rid="B86">2018</xref>; La Plante et al., <xref ref-type="bibr" rid="B199">2021a</xref>); and (ii) artificially increasing ocean alkalinity for enhancing seawater&#x00027;s carbon sequestration capacity (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>), a process popularly known as ocean alkalinity enhancement (OAE) (Bach et al., <xref ref-type="bibr" rid="B14">2019</xref>; Gagern et al., <xref ref-type="bibr" rid="B110">2019</xref>). For the first pathway, given that the majority of carbon in seawater is in the form of carbonate and bicarbonate ions, CO<sub>2</sub> extraction processes must &#x0201C;swing&#x0201D; alkalinity to extract as much DIC as possible. DIC-depleted seawater will then return to the oceans, where atmospheric CO<sub>2</sub> will be taken up to maintain the air-ocean equilibrium. Therefore, ocean water can be used for both carbon capture and/or storage. Other CO<sub>2</sub> storage pathways exist, however these are not long-term DIC storage, but rather &#x0201C;ephemeral&#x0201D; storage up to 1,000 years of pure phase CO<sub>2</sub>, such as dry ice torpedoes where CO<sub>2</sub> is released from the sea surface with the goal being to penetrate the sea floor (Herzog and Drake, <xref ref-type="bibr" rid="B148">1996</xref>), and intentional storage of CO<sub>2</sub> in deep ocean, as solid CO<sub>2</sub> hydrate, possibly in depths higher than 3,000 m, where CO<sub>2</sub> is denser than seawater and long-term storage is promoted (Caldeira et al., <xref ref-type="bibr" rid="B46">2005</xref>). However, these storage pathways have been associated with environmental impacts on deep ocean ecosystems (Caldeira et al., <xref ref-type="bibr" rid="B46">2005</xref>), while, even in the deep ocean solid CO<sub>2</sub> hydrate will slowly decompose (GHG, <xref ref-type="bibr" rid="B117">2004</xref>).</p>
<p>Electrochemical processes aim at controlling seaweater&#x00027;s pH and trigger the removal of DIC (Sharifian et al., <xref ref-type="bibr" rid="B373">2021</xref>). In the context of geochemical NETs, an acid (HCl) and an alkali (NaOH) are first produced, by seawater/brine electrolysis or electrodialysis, which can be used for two different distinct processes, i.e., the &#x0201C;acid&#x0201D; and the &#x0201C;base&#x0201D; process, respectively. In the acid process, HCl is used to acidify (to pH &#x0007E;4) degassed (O<sub>2</sub> and N<sub>2</sub> have been removed) seawater, thus converting DIC to CO<sub>2</sub> gas, which is then captured (e.g., using hollow fiber membrane contactors). In the base process NaOH is directly added to seawater to raise the pH (&#x0003E;9) and precipitate carbonates in the form of CaCO<sub>3</sub> (de Lannoy et al., <xref ref-type="bibr" rid="B68">2018</xref>). Subsequently, the natural alkalinity is restored in the decarbonized seawater of both processes, which is then returned to the ocean to recapture CO<sub>2</sub> and store it as bicarbonate (Eisaman et al., <xref ref-type="bibr" rid="B86">2018</xref>). It could be possible to directly release the elevated-pH seawater from the base process to the ocean, since this will lead to additional atmospheric CO<sub>2</sub> uptake due to ocean alkalinity enhancement. Even though only the base process comprises a direct mineralization pathway (CaCO<sub>3</sub> is the final product), the gaseous CO<sub>2</sub> acid process can also be used to produce carbonate minerals. Single-step carbon sequestration and storage is similar to the base process since carbonate minerals are electrochemically (flow-through membraneless electrolysis) formed from DIC and divalent cations (Ca and Mg) that are naturally contained in seawater, however, in this case, without the need of fine-pore membranes but rather coarse-mesh electrodes (La Plante et al., <xref ref-type="bibr" rid="B200">2021b</xref>). The main challenge in electrochemical processes pertains to high electricity and raw material (mainly electrodes or membranes) inputs (Sharifian et al., <xref ref-type="bibr" rid="B373">2021</xref>), which raise costs and possibly environmental impacts.</p>
<p>In OAE alkaline materials, such as natural or artificial minerals and industrial waste/by-products (Renforth, <xref ref-type="bibr" rid="B338">2019</xref>), are used to increase the oceans&#x00027; alkalinity, thereby adding to its natural capacity as a carbon sink, i.e., CO<sub>2</sub> is permanently (&#x0003E;10,000 years) stored as aqueous bicarbonate ions (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>). Three main methods for addition of alkaline materials to the ocean have been proposed: (i) coastal enhanced weathering (Meysman and Montserrat, <xref ref-type="bibr" rid="B265">2017</xref>; Renforth and Campbell, <xref ref-type="bibr" rid="B339">2021</xref>), whereby crushed or pulverized silicate minerals are spread onto beaches and coastal shelves and waves and currents promote their dissolution and the release of alkalinity into the ocean; (ii) ocean liming, whereby lime is spread on the open ocean for artificial alkalinity enhancement (Paquay and Zeebe, <xref ref-type="bibr" rid="B299">2013</xref>; Renforth et al., <xref ref-type="bibr" rid="B341">2013</xref>); and (iii) electrochemical approaches, which do not aim to remove DIC from seawater, but produce alkaline agents that can be used for OAE (House et al., <xref ref-type="bibr" rid="B155">2009</xref>). Wastes from different industrial processes could also be used for OAE at scale (Renforth, <xref ref-type="bibr" rid="B338">2019</xref>). However, alkaline wastes can be enriched with harmful pollutants, such as trace (heavy) metals (Gomes et al., <xref ref-type="bibr" rid="B125">2016</xref>), and therefore, more likely, might find limited application for OAE, at least in the near future.</p>
<p>For silicate minerals to be quickly dissolved in the upper ocean, pulverization (&#x0003C;1 &#x003BC;m) is required (Meysman and Montserrat, <xref ref-type="bibr" rid="B265">2017</xref>), which is energy intensive and not practical (Hangx and Spiers, <xref ref-type="bibr" rid="B138">2009</xref>). On the other hand, it can take up to thousands of years for olivine sand to fully dissolve in coastal environments (Hangx and Spiers, <xref ref-type="bibr" rid="B138">2009</xref>), but high-energy shallow marine environments (coastal shelves and beaches) can greatly accelerate olivine dissolution (Schuiling and de Boer, <xref ref-type="bibr" rid="B368">2011</xref>). Specifically, natural forces acting on the coastal environments, such as waves and currents, can be used to enhance the dissolution rates of silicate minerals (Montserrat et al., <xref ref-type="bibr" rid="B272">2017</xref>). Among the industrially mined silicate minerals, olivine has been found promising for coastal enhanced weathering, since it is abundant and readily available (olivine mines can be found across the world), while its dissolution rate is significantly higher (three orders of magnitude) compared to ordinary quartz (Meysman and Montserrat, <xref ref-type="bibr" rid="B265">2017</xref>). Similar to enhanced weathering in soils, coastal enhanced weathering can capture 0.28 g C per g olivine dissolved in ocean water (K&#x000F6;hler et al., <xref ref-type="bibr" rid="B193">2013</xref>). On the other hand, olivine also contains various nutrients (mainly silicic acid and iron) that improve phytoplankton growth (fertilization), leading to a maximum carbon capture capacity of up to 0.57 g C per g of olivine spread (Hauck et al., <xref ref-type="bibr" rid="B144">2016</xref>). Nonetheless, among others, silicic acid can alter marine biology, shifting phytoplankton species composition toward silicifiers such as diatoms (K&#x000F6;hler et al., <xref ref-type="bibr" rid="B193">2013</xref>), while phytoplankton fertilization cannot be considered as a direct mineralization pathway. Silicifier growth can also turn the color of seawater to greener shades (Bach et al., <xref ref-type="bibr" rid="B14">2019</xref>). Overall, coastal enhanced weathering appears promising, however, many open questions exist, including non-stoichiometric dissolution, pore-water saturation in the seabed, possible secondary reactions, and the exact ecosystem and feedback effects of large-scale olivine dissolution (Montserrat et al., <xref ref-type="bibr" rid="B272">2017</xref>).</p>
<p>The surface ocean waters are supersaturated with respect to calcite (CaCO<sub>3</sub>), i.e., limestone, and therefore its &#x0201C;activation,&#x0201D; typically through calcination prior to its spreading for OAE, has been proposed (Kheshgi, <xref ref-type="bibr" rid="B187">1995</xref>). As such, ocean liming is typically achieved using artificial alkaline minerals such as calcium oxide (CaO) or more likely calcium hydroxide (Ca(OH)<sub>2</sub>) (Caserini et al., <xref ref-type="bibr" rid="B50">2021</xref>), which will rapidly dissolve and release alkalinity in seawater (Justnes et al., <xref ref-type="bibr" rid="B173">2020</xref>). Specifically, limestone is mined, crushed, washed, milled, and then calcined, before being transported and dispersed into surface ocean waters for alkalinity enhancement. It has been reported that 1.4&#x02013;1.7 tons of limestone can uptake 1 ton of CO<sub>2</sub> from the atmosphere (Renforth et al., <xref ref-type="bibr" rid="B341">2013</xref>). Since (bi)carbonate ions are added to seawater, ocean liming can benefit calcifiers such as corals (Comeau et al., <xref ref-type="bibr" rid="B58">2013</xref>; Feng et al., <xref ref-type="bibr" rid="B99">2016</xref>), coccolithophores, foraminiferans, and pteropods (Figuerola et al., <xref ref-type="bibr" rid="B102">2021</xref>) which are threatened by ocean acidification (Doney et al., <xref ref-type="bibr" rid="B78">2020</xref>). The rapid growth of calcifiers such as coccolithophores can give a bluer or whiter shade to the ocean color (Bach et al., <xref ref-type="bibr" rid="B14">2019</xref>). Ocean liming faces several engineering challenges (Renforth et al., <xref ref-type="bibr" rid="B341">2013</xref>), particularly in capturing and storing the carbon emissions from limestone decomposition (Paquay and Zeebe, <xref ref-type="bibr" rid="B299">2013</xref>) and ocean spreading (Caserini et al., <xref ref-type="bibr" rid="B50">2021</xref>), along with uncertainties pertaining to the responses of marine organisms to large-scale lime addition (Paquay and Zeebe, <xref ref-type="bibr" rid="B299">2013</xref>; Das and Mangwani, <xref ref-type="bibr" rid="B65">2015</xref>). Furthermore, ocean liming appears to allow calcifiers to outcompete silicifiers, while coastal enhanced weathering allows for the opposite (Moore, <xref ref-type="bibr" rid="B273">2021</xref>). This implies that these NETs can be used in tandem to maximize the uptake of atmospheric CO<sub>2</sub> and maintain the balance between different marine (micro)organisms.</p>
<p>Finally, it is possible to use electrochemistry to remove acidity, in the form of HCl, from seawater or from brines [e.g., from the desalination industry (Mustafa et al., <xref ref-type="bibr" rid="B281">2020</xref>)] and store or neutralize this acidity (e.g., using silicate minerals) and return alkalinity (NaOH is produced along with HCl while excess alkalinity can also be produced from the dissolution of silicate minerals) to the oceans (House et al., <xref ref-type="bibr" rid="B154">2007</xref>; Davies, <xref ref-type="bibr" rid="B67">2015</xref>). Electrolysis or electrodialysis can be used to split seawater/brines and generate acidity and alkalinity; however, the proposed processes are typically energy intensive, with values in the range of 3&#x02013;18 GJ per t of CO<sub>2</sub> removed from the atmosphere (Renforth and Henderson, <xref ref-type="bibr" rid="B340">2017</xref>). Brines with high salt concentrations can be used to improve the process efficiency in acid (HCl) and alkali (NaOH) production; however, it is unlikely that the existing brines, primarily from the desalination industry, are sufficient for scaling up this process to the gigaton range. Therefore, it is more likely that electrochemical processes for OAE will be used complementary to coastal enhanced weathering and ocean liming, at least until the technology matures and becomes more energy efficient.</p></sec>
<sec>
<title>Application of Biotechnology to Geochemical NETs</title>
<p>Organisms are known to control many of the key reactions underlying geochemical NETs (<xref ref-type="table" rid="T4">Table 4</xref>), and microbial weathering strongly influences geologic cycling (Finlay et al., <xref ref-type="bibr" rid="B104">2020</xref>; Samuels et al., <xref ref-type="bibr" rid="B356">2020</xref>). The organisms, biomolecules and metabolisms underlying biogeochemical activity provide a diversity of mechanisms that can be integrated into geochemical NETs. Further, they can potentially be enhanced through protein engineering, directed evolution, metabolic engineering or other synthetic biology methods. Examples of naturally-existing mechanisms, applications of biotechnology to geochemical NETs to date, and future perspectives are discussed in the following three subsections.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p>Influence of biological agents on reactions or ions underlying geochemical NETs.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Type</bold></th>
<th valign="top" align="left"><bold>Biological agent</bold></th>
<th valign="top" align="left"><bold>Effects</bold></th>
<th valign="top" align="left"><bold>Process</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Organisms</td>
<td valign="top" align="left">Silicate-weathering microbes (e.g., <italic>Knufia petricola</italic>)</td>
<td valign="top" align="left">Acceleration of silicate dissolution, e.g., 7x increase in olivine dissolution by <italic>Knufia petricola</italic> in benchtop experiment (Pokharel et al., <xref ref-type="bibr" rid="B310">2019</xref>).</td>
<td valign="top" align="left">Microbes can acidify the mineral surface microenvironment by secreting organic acids or by respiration; secrete small-molecule or polymeric organic acids/chelators that catalyze silicate dissolution; or prevent surface passivation by chelation of iron (Lazo et al., <xref ref-type="bibr" rid="B207">2017</xref>; Torres et al., <xref ref-type="bibr" rid="B406">2019</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Strong acid-generating microbes (e.g., <italic>Acidithiobacillus</italic>)</td>
<td valign="top" align="left">Acceleration of silicate dissolution, e.g., 39 and 84% of Mg liberated from chrysotile mine tailings in stoichiometric and excess sulphuric acid conditions, in benchtop experiment (McCutcheon et al., <xref ref-type="bibr" rid="B248">2015</xref>)</td>
<td valign="top" align="left">Chemolithotrophs can produce strong acids through metabolism of minerals, such as production of sulphuric acid by <italic>Acidithiobacillus sp</italic>. through metabolism of metal sulfides, which readily dissolve alkaline minerals (Nordstrom and Southam, <xref ref-type="bibr" rid="B288">1997</xref>; Power et al., <xref ref-type="bibr" rid="B316">2010</xref>; Schippers et al., <xref ref-type="bibr" rid="B364">2014</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Carbonate-precipitating microbes (e.g., cyanobacteria)</td>
<td valign="top" align="left">Promotion of carbonate precipitation, e.g., 18x increase in carbonate formation from serpentine mine tailings, with cyanobacteria-dominated microbial consortium (McCutcheon et al., <xref ref-type="bibr" rid="B252">2016</xref>).</td>
<td valign="top" align="left">Phototrophs, ureolytic bacteria, and other microbes can increase pH and generate (bi)carbonate ions through metabolic activity; various microbes, and particularly cyanobacteria, secrete EPS that nucleate carbonate precipitation; and heterotrophs can supply CO<sub>2</sub> by oxidizing organic carbon or metabolizing cation-saturated EPS (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>; Zhu and Dittrich, <xref ref-type="bibr" rid="B449">2016</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Silica-forming microbes (e.g., diatoms)</td>
<td valign="top" align="left">Sequestration of waste silicic acid, the buildup of which may inhibit mineral carbonation, e.g., diatoms sequestered 87% of silicon in microbial carbonation experiments with synthetic alkaline wastewater (McCutcheon et al., <xref ref-type="bibr" rid="B250">2019</xref>).</td>
<td valign="top" align="left">Diatoms and siliceous sponges form silica shells or skeletons (Sumper and Kr&#x000F6;ger, <xref ref-type="bibr" rid="B392">2004</xref>; M&#x000FC;ller et al., <xref ref-type="bibr" rid="B279">2013a</xref>). Photosynthetic diatoms are found naturally growing in alkaline mine wastewater.</td>
</tr>
<tr>
<td valign="top" align="left">Enzymes and proteins</td>
<td valign="top" align="left">Carbonic anhydrase (CA)</td>
<td valign="top" align="left">Alleviates CO<sub>2</sub> hydration kinetics as a rate-limiting factor</td>
<td valign="top" align="left">CAs are metalloenzymes that catalyze equilibration between dissolved CO<sub>2</sub> and carbonic acid (Mesbahuddin et al., <xref ref-type="bibr" rid="B264">2021</xref>). Some CAs can also inhibit or nucleate carbonate precipitation depending on ionic conditions (Miyamoto et al., <xref ref-type="bibr" rid="B269">2005</xref>; Rodriguez-Navarro et al., <xref ref-type="bibr" rid="B348">2019</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Silicateins and silaffins</td>
<td valign="top" align="left">Sequestration of waste silicic acid, the buildup of which may inhibit mineral carbonation.</td>
<td valign="top" align="left">Catalysis of polymerization of silica from silicic acid (Sumper and Kr&#x000F6;ger, <xref ref-type="bibr" rid="B392">2004</xref>; M&#x000FC;ller et al., <xref ref-type="bibr" rid="B279">2013a</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Calcareous shell matrix proteins</td>
<td valign="top" align="left">Various functions, including nucleation and inhibition of carbonate precipitation, mineralization templating, CA activity, concentrating ions.</td>
<td valign="top" align="left">A complex matrix of proteins and other biomolecules coordinates the formation, morphology and nanoscale structure of shells in mollusks and corals (Falini et al., <xref ref-type="bibr" rid="B96">2015</xref>; Marin, <xref ref-type="bibr" rid="B239">2020</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Ion transporters</td>
<td valign="top" align="left">Manipulation of ion concentrations in microenvironments, including Ca<sup>2&#x0002B;</sup>, Mg<sup>2&#x0002B;</sup>, H<sup>&#x0002B;</sup>, <inline-formula><mml:math id="M73"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and H<sub>4</sub>SiO<sub>4</sub></td>
<td valign="top" align="left">Passive or active (ATP-dependent) transport of ions to manipulate intra- or extracellular concentrations, to provide input ions for photosynthesis, calcareous shell formation, siliceous shell formation, or other purposes (Martin-Jezequel et al., <xref ref-type="bibr" rid="B242">2000</xref>; Dominguez, <xref ref-type="bibr" rid="B77">2004</xref>; Maguire, <xref ref-type="bibr" rid="B233">2006</xref>; Buch-Pedersen et al., <xref ref-type="bibr" rid="B41">2009</xref>; Reinfelder, <xref ref-type="bibr" rid="B335">2011</xref>; Knight et al., <xref ref-type="bibr" rid="B191">2016</xref>).</td>
</tr>
<tr>
<td valign="top" align="left">Non-enzymatic biocatalysts</td>
<td valign="top" align="left">Extracellular polymeric substances (EPS)</td>
<td valign="top" align="left">Promotion of carbonate precipitation; catalysis or inhibition of silicate dissolution</td>
<td valign="top" align="left">Negatively charged EPS adsorbs and concentrates cations, which nucleate carbonate precipitation, and digestion of EPS by heterotrophs liberates bound cations and produces CO<sub>2</sub> to raise the saturation state (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>). Some EPS can catalyze silicate dissolution by concentrating protons or chelating cations, and others may inhibit silicate dissolution by adsorbing to mineral surfaces (Welch et al., <xref ref-type="bibr" rid="B421">1999</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Organic acids and chelators</td>
<td valign="top" align="left">Catalysis of silicate dissolution, e.g., 10&#x02013;100-fold acceleration of forsterite dissolution by oxalic and phthalic acids (Oelkers et al., <xref ref-type="bibr" rid="B293">2018</xref>).</td>
<td valign="top" align="left">Organic acids, which frequently also act as chelators, provide acidity and/or complex and solubilize cations within the mineral crystal framework in a pH-dependent manner (Lazo et al., <xref ref-type="bibr" rid="B207">2017</xref>; Oelkers et al., <xref ref-type="bibr" rid="B293">2018</xref>).</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">Siderophores</td>
<td valign="top" align="left">Inhibition of the formation of passivating iron oxide.</td>
<td valign="top" align="left">Siderophores are a large class of microbial and plant chelators that bind diverse cations, particularly Fe ions, at high affinity and promote their uptake from the environment (Ahmed and Holmstr&#x000F6;m, <xref ref-type="bibr" rid="B3">2014</xref>).</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec>
<title>The Influence of Organisms and Biological Mechanisms on the Chemical Reactions Underlying Geochemical NETs</title>
<p>Many bacteria and fungi promote dissolution of alkaline minerals by altering the chemical microenvironment at the mineral surface, in some cases for liberation of essential nutrients (Rogers and Bennett, <xref ref-type="bibr" rid="B349">2004</xref>). Mechanisms include acidification <italic>via</italic> secretion of protons and weak organic acids, generation of carbonic acid as a byproduct of respiration, production of strong acids by chemolithotrophs, and production of polymeric and small molecule organic acids that act as chelators that catalyze mineral dissolution (Barker et al., <xref ref-type="bibr" rid="B17">1997</xref>; Drever and Stillings, <xref ref-type="bibr" rid="B80">1997</xref>; Nordstrom and Southam, <xref ref-type="bibr" rid="B288">1997</xref>; Bennett et al., <xref ref-type="bibr" rid="B24">2001</xref>; Lazo et al., <xref ref-type="bibr" rid="B207">2017</xref>; Pokharel et al., <xref ref-type="bibr" rid="B310">2019</xref>; Gerrits et al., <xref ref-type="bibr" rid="B116">2021</xref>). Fungi can also increase the surface area of rocks by exerting mechanical forces that induce cracking (Bechinger et al., <xref ref-type="bibr" rid="B20">1999</xref>). Lichen (a mutualism between a fungus and a cyanobacterium) are particularly active in silicate mineral weathering, through penetration of hyphae and thalli, secretion of organic acids, and provision of dissolved carbonate and acidification through respiration (Chen et al., <xref ref-type="bibr" rid="B52">2000</xref>). Rates of secretion of weathering agents by fungi and bacteria are reported to vary by mineral substrate and nutrient availability (Bennett et al., <xref ref-type="bibr" rid="B24">2001</xref>; Schmalenberger et al., <xref ref-type="bibr" rid="B365">2015</xref>), indicating that weathering can occur by mechanisms that are actively regulated by organisms. Organisms can also facilitate alkaline mineral dissolution by inhibiting the formation of passivating iron oxide layers; one such mechanism is secretion of small-molecule chelators known as siderophores (Liermann et al., <xref ref-type="bibr" rid="B220">2000</xref>; Buss et al., <xref ref-type="bibr" rid="B45">2007</xref>; Ahmed and Holmstr&#x000F6;m, <xref ref-type="bibr" rid="B3">2014</xref>; Torres et al., <xref ref-type="bibr" rid="B406">2019</xref>). There has been some disagreement over the extent to which microbes and organic acid chelators catalyze mineral dissolution, and the range of minerals on which they act (Pokrovsky et al., <xref ref-type="bibr" rid="B312">2009</xref>, <xref ref-type="bibr" rid="B313">2021</xref>; Oelkers et al., <xref ref-type="bibr" rid="B292">2015</xref>), indicating the need for further discourse and research to obtain clarity on the contexts in which microbial weathering occurs. Microbial biofilms have also been observed to reduce mineral dissolution rates in some contexts by inhibiting the exchange of ions with the bulk solution (Ullman et al., <xref ref-type="bibr" rid="B409">1996</xref>; L&#x000FC;ttge and Conrad, <xref ref-type="bibr" rid="B230">2004</xref>). Plant roots can also secrete organic acids that act as catalytic chelators (Ryan et al., <xref ref-type="bibr" rid="B351">2001</xref>), and also support fungal and bacterial communities with weathering activity (Kang et al., <xref ref-type="bibr" rid="B177">2017</xref>; Ribeiro et al., <xref ref-type="bibr" rid="B343">2020</xref>; Verbruggen et al., <xref ref-type="bibr" rid="B414">2021</xref>), which together contribute to weathering within the rhizosphere.</p>
<p>Microbially-mediated precipitation of carbonates is also widespread (Zhu and Dittrich, <xref ref-type="bibr" rid="B449">2016</xref>; G&#x000F6;rgen et al., <xref ref-type="bibr" rid="B128">2020</xref>), and its mechanisms are more thoroughly characterized than those of silicate dissolution. Many organisms promote carbonate precipitation by generating alkalinity or increasing ionic saturation state through metabolic activity. Photosynthetic organisms, which are thought to have influenced the majority of calcium carbonate formation through Earth&#x00027;s history (Altermann et al., <xref ref-type="bibr" rid="B6">2006</xref>; Riding, <xref ref-type="bibr" rid="B344">2006</xref>), promote carbonate precipitation by increasing pH through conversion of <inline-formula><mml:math id="M74"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> to CO<sub>2</sub> and OH<sup>&#x02212;</sup>, after which CO<sub>2</sub> is assimilated into biomass and OH<sup>&#x02212;</sup> is released (Power et al., <xref ref-type="bibr" rid="B323">2007</xref>; Kamennaya et al., <xref ref-type="bibr" rid="B175">2012</xref>). Ureolytic bacteria increase pH by producing NH<sup>4&#x0002B;</sup>, OH<sup>&#x02212;</sup> and <inline-formula><mml:math id="M75"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> through hydrolysis of urea (Zhu and Dittrich, <xref ref-type="bibr" rid="B449">2016</xref>). Microbial degradation of amino acids as an energy source, called ammonification, also produces NH<sup>4&#x0002B;</sup>, OH<sup>&#x02212;</sup> and <inline-formula><mml:math id="M76"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (Gonz&#x000E1;lez-Mu&#x000F1;oz et al., <xref ref-type="bibr" rid="B126">2010</xref>). Anaerobic oxidation of organic matter <italic>via</italic> reduction of nitrates by denitrifying bacteria, or reduction of sulfates by sulfate-reducing bacteria, produces alkalinity <italic>via</italic> consumption of protons and thereby also favors carbonate precipitation (Baumgartner et al., <xref ref-type="bibr" rid="B18">2006</xref>; Martin et al., <xref ref-type="bibr" rid="B240">2013</xref>). Oxalotrophic bacteria also promote carbonate precipitation by liberating both <inline-formula><mml:math id="M77"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and Ca<sup>2&#x0002B;</sup>, along with CO<sub>2</sub>, through metabolism of solid calcium oxalate, which is abundant in many soils (Cromack et al., <xref ref-type="bibr" rid="B61">1977</xref>; Braissant et al., <xref ref-type="bibr" rid="B37">2002</xref>). Aerobic oxidation of organic matter by heterotrophs can also promote carbonate precipitation by producing CO<sub>2</sub>, when CO<sub>2</sub> is limiting (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>; S&#x000E1;nchez-Rom&#x000E1;n et al., <xref ref-type="bibr" rid="B357">2011</xref>).</p>
<p>Carbonate precipitation can also be influenced through biophysical mechanisms. Some extracellular materials secreted by microbes, broadly termed extracellular polymeric substances (EPS), contain a diversity of negatively charged or chelating chemical moieties that bind cations, and are observed to either inhibit or promote carbonate precipitation in different contexts. Under conditions of low saturation of bound cations, EPS can inhibit carbonate precipitation by depleting the microenvironment of cations, while under conditions of high saturation, EPS can promote carbonate precipitation by enriching the microenvironment with cations (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>). Degradation of EPS by heterotrophs, which liberates bound cations and (bi)carbonates, can also induce carbonate precipitation (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>). The surfaces of microbial cells themselves, which often bear negatively charged functional groups, can also promote carbonate precipitation by attracting cations (Dupraz et al., <xref ref-type="bibr" rid="B82">2009</xref>). High EPS production in combination with alkalinity generation make cyanobacteria particularly effective at nucleating and precipitating carbonates (De Philippis et al., <xref ref-type="bibr" rid="B70">2001</xref>; Decho et al., <xref ref-type="bibr" rid="B72">2005</xref>; Braissant et al., <xref ref-type="bibr" rid="B36">2009</xref>).</p>
<p>Notably, biological precipitation of magnesite (MgCO<sub>3</sub>) has been observed at room temperature (McCutcheon et al., <xref ref-type="bibr" rid="B250">2019</xref>; Zhang et al., <xref ref-type="bibr" rid="B445">2020</xref>), despite being inhibited at temperatures below 80&#x000B0;C in abiotic conditions due to the high energy of dehydration of aqueous Mg<sup>2&#x0002B;</sup> (Saldi et al., <xref ref-type="bibr" rid="B354">2009</xref>). The proposed mechanism for magnesite precipitation at ambient temperature is dehydration by the negatively charged EPS and cell surfaces (Power et al., <xref ref-type="bibr" rid="B320">2017</xref>). Magnesite precipitation is preferable compared to hydrated magnesium carbonates, since it contains a higher stoichiometric fraction of carbon.</p>
<p>Enzymes and peptides are also known to catalyze reactions relevant to geochemical NETs, including hydration of CO<sub>2</sub> and carbonate precipitation. Of these, CO<sub>2</sub> hydration is the best studied and presently the most tractable to engineering. Carbonic anhydrases (CAs) are metalloenzymes that catalyze equilibration between dissolved CO<sub>2</sub> and carbonic acid (Lindskog, <xref ref-type="bibr" rid="B221">1997</xref>). They are among the most efficient enzymes known in nature, with their rates often being diffusion-limited. They exist as &#x02265;8 evolutionarily distinct families of CA genes across all domains of life (Mesbahuddin et al., <xref ref-type="bibr" rid="B264">2021</xref>), with diverse enzymatic parameters. CAs are involved in diverse processes, including biomineralization of calcium carbonates (Bertucci et al., <xref ref-type="bibr" rid="B26">2013</xref>; M&#x000FC;ller et al., <xref ref-type="bibr" rid="B280">2013b</xref>; Karakostis et al., <xref ref-type="bibr" rid="B179">2016</xref>; Sharker et al., <xref ref-type="bibr" rid="B374">2021</xref>). CAs commonly have additional activity, including inhibition or promotion of carbonate precipitation (Miyamoto et al., <xref ref-type="bibr" rid="B269">2005</xref>). A recent study found that bovine CA directly influences carbonate precipitation mechanisms in multiple ways: it interacts with growing calcium carbonate crystals, thereby modifying their growth and morphology; it can also inhibit precipitation under conditions of low CO<sub>2</sub>, possibly by stabilizing pre-nucleation ion complexes; and it can undergo conformational changes and oligomerization under high pH or high <inline-formula><mml:math id="M78"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and Ca<sup>2&#x0002B;</sup>concentrations, abrogating anhydrase activity and instead templating nucleation of calcium carbonate (Rodriguez-Navarro et al., <xref ref-type="bibr" rid="B348">2019</xref>). It has been suggested that the above mechanisms of CA are involved in the controlled growth of calcareous structures like shells (Rodriguez-Navarro et al., <xref ref-type="bibr" rid="B348">2019</xref>). Carbonic anhydrase has also been demonstrated to catalyze the dissolution of calcite, possibly by catalyzing the transfer of protons into the mineral lattice during protonation of <inline-formula><mml:math id="M79"><mml:msubsup><mml:mrow><mml:mtext>CO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (Dong et al., <xref ref-type="bibr" rid="B79">2020</xref>).</p>
<p>Multicellular and unicellular organisms also demonstrate exquisite control over carbonate precipitation using combinations of the aforementioned mechanisms during the formation of shells and intracellular carbonate inclusions. Intracellular formation of carbonates in bacteria has been observed, including in environments that are undersaturated with respect to carbonate mineral phases, suggesting that active mechanisms control the ion transport and mineral precipitation, though the precise mechanisms of control are as-yet unclear (G&#x000F6;rgen et al., <xref ref-type="bibr" rid="B128">2020</xref>). Shells in coccolithophores, mollusks, corals and reptilian and avian eggs are typically &#x0003E;95% CaCO<sub>3</sub> by mass, with the remaining organic matter consisting of diverse proteins and polysaccharides functioning to scaffold, nucleate, or remodel calcium carbonate, including intracrystalline proteins (Falini et al., <xref ref-type="bibr" rid="B96">2015</xref>; Taylor et al., <xref ref-type="bibr" rid="B398">2017</xref>; Marin, <xref ref-type="bibr" rid="B239">2020</xref>; Gautron et al., <xref ref-type="bibr" rid="B113">2021</xref>). While the specific biomolecular functions of most shell organic components are unclear, many functions have been identified, including proteins that promote or inhibit calcium carbonate nucleation, as well as CAs (Evans, <xref ref-type="bibr" rid="B91">2019</xref>; Marin, <xref ref-type="bibr" rid="B239">2020</xref>). Interestingly, coccolithophores produce individual calcium carbonate particles known as coccoliths intracellularly within specialized vesicles, after which the particles are secreted onto the cell surface to form a shell (Taylor et al., <xref ref-type="bibr" rid="B398">2017</xref>).</p>
<p>Other enzyme families, especially enriched in ocean-dwelling siliceous organisms, facilitate silica polymerization. Silicateins are enzymes found in sponges that catalyze polymerization of amorphous silica (M&#x000FC;ller et al., <xref ref-type="bibr" rid="B279">2013a</xref>), and silaffins are highly post-translationally modified peptides found in diatoms that do the same (Sumper and Kr&#x000F6;ger, <xref ref-type="bibr" rid="B392">2004</xref>; Lechner and Becker, <xref ref-type="bibr" rid="B208">2015</xref>). Silicase is an enzyme reported to catalyze the dissolution of amorphous silica (Schr&#x000F6;er et al., <xref ref-type="bibr" rid="B367">2003</xref>), though we are unaware of other published work in which silicase activity is documented reproduction of the original results should be pursued to inspire confidence in their robustness.</p>
<p>Further, active biological transport mechanisms exist for concentrating or depleting Ca<sup>2&#x0002B;</sup>, Mg<sup>2&#x0002B;</sup>, H<sup>&#x0002B;</sup>, <inline-formula><mml:math id="M80"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and H<sub>4</sub>SiO<sub>4</sub> within microenvironments (Martin-Jezequel et al., <xref ref-type="bibr" rid="B242">2000</xref>; Dominguez, <xref ref-type="bibr" rid="B77">2004</xref>; Maguire, <xref ref-type="bibr" rid="B233">2006</xref>; Buch-Pedersen et al., <xref ref-type="bibr" rid="B41">2009</xref>; Reinfelder, <xref ref-type="bibr" rid="B335">2011</xref>; Knight et al., <xref ref-type="bibr" rid="B191">2016</xref>). For example, carboxysomes are cyanobacterial organelles within which bicarbonate is actively concentrated and then converted to CO<sub>2</sub> by CA, thereby providing high levels of CO<sub>2</sub> to the photosynthetic enzyme RuBisCO (Price et al., <xref ref-type="bibr" rid="B324">2008</xref>).</p>
<p>Some research has investigated the influence of supercritical CO<sub>2</sub> on microbes, with potential relevance to the use, or passive influence, of microbes on subsurface CO<sub>2</sub> mineralization for storage. While supercritical CO<sub>2</sub> generally inhibits microbial growth (Yu and Chen, <xref ref-type="bibr" rid="B439">2019</xref>), multiple studies have found organisms with only mildly inhibited growth under supercritical CO<sub>2</sub> and have investigated its effects on community structure and geochemistry (Peet et al., <xref ref-type="bibr" rid="B303">2015</xref>; Santillan et al., <xref ref-type="bibr" rid="B360">2015</xref>; Jin and Kirk, <xref ref-type="bibr" rid="B170">2016</xref>; Freedman et al., <xref ref-type="bibr" rid="B106">2017</xref>, <xref ref-type="bibr" rid="B105">2018</xref>; Ham et al., <xref ref-type="bibr" rid="B134">2017</xref>; Li et al., <xref ref-type="bibr" rid="B213">2017</xref>; Boock et al., <xref ref-type="bibr" rid="B34">2019</xref>).</p>
<p>Collectively, the organisms and biological mechanisms discussed in this section constitute a starting point for the integration of biology into alkaline mineral NETs.</p></sec>
<sec>
<title>Biologically-Enhanced Geochemical NETs</title>
<p>Biotechnology research has explored applied methods for geochemical NETs to a limited degree. Pioneering examples to date have focused primarily on enhanced dissolution and carbonation of mine tailings (Power et al., <xref ref-type="bibr" rid="B316">2010</xref>; McCutcheon et al., <xref ref-type="bibr" rid="B249">2014</xref>) at laboratory scale.</p>
<p>Sulfur-oxidizing bacteria have been proposed for use in dissolution of alkaline minerals by catalyzing the production of sulphuric acid from sulfides, e.g., sulphidic mine tailings (Power et al., <xref ref-type="bibr" rid="B316">2010</xref>). Similar approaches are used for biomining of copper and other metals (Schippers et al., <xref ref-type="bibr" rid="B364">2014</xref>). Laboratory optimization experiments found that such an approach liberated 39% of Mg from chrysotile mine tailings while maintaining leachate pH suitable for carbonate precipitation, and up to 84% of Mg in acidic leachate (McCutcheon et al., <xref ref-type="bibr" rid="B248">2015</xref>). The cost of transporting acid-generating feedstocks, which are consumed stoichiometrically as silicates dissolve, may be strongly influenced by relative geographic location of tailings and feedstocks (Power et al., <xref ref-type="bibr" rid="B321">2014</xref>). Combination of this approach with microbially-mediated carbonate precipitation has been proposed for carbon sequestration in ultramafic mine tailings or other <italic>ex situ</italic> applications (Power et al., <xref ref-type="bibr" rid="B321">2014</xref>).</p>
<p>Cyanobacteria have been proposed as catalysts for precipitation of carbonates in alkaline mineral NETs (Jansson and Northen, <xref ref-type="bibr" rid="B167">2010</xref>). In laboratory experiments, a cyanobacteria-dominated consortium sourced from an alkaline tailings lake was inoculated into columns of acid-leached chrysotile tailings and caused precipitation of a crust of magnesium carbonates containing &#x0007E;18-fold more carbon than abiotic controls (McCutcheon et al., <xref ref-type="bibr" rid="B252">2016</xref>). Large-scale bioreactor experiments simulating an artificial alkaline wetland with inoculation of a microbial consortium confirmed cyanobacteria-mediated formation of a magnesium carbonate crust, but found that depletion of essential nutrients, including phosphate, in the reaction medium limited microbial growth and EPS production in the majority of the bioreactor, drastically reducing mineral precipitation (McCutcheon et al., <xref ref-type="bibr" rid="B249">2014</xref>). Increased nutrient delivery in a follow-up experiment resulted in biofilm growth that outpaced carbonate precipitation (McCutcheon et al., <xref ref-type="bibr" rid="B250">2019</xref>); these studies indicate that nutrient distribution is an important consideration in scaled deployment. The latter study also found that diatom growth successfully sequestered &#x0007E;87% of the silicon in the bioreactor, providing a sink for silicon waste produced during alkaline mineral dissolution. A microbial carbonation experiment on site at a tailings pile failed to produce a cemented carbonate-chrysotile crust; the authors hypothesized that accessibility of water and CO<sub>2</sub>, as well as effects of weather, limited microbial growth and carbonate precipitation (McCutcheon et al., <xref ref-type="bibr" rid="B251">2017</xref>). Failure of the latter experiment illustrates the need for increased application-focused research and lends support to the notion that microbial carbonation of tailings may benefit from more controlled environments like bioreactors as compared with open tailings piles.</p>
<p>Oxidation of waste organics to CO<sub>2</sub> in the presence of alkaline minerals has been proposed as a mechanism for promoting carbonation in contexts where CO<sub>2</sub> accessibility is limiting; such an approach sequesters carbon that was fixed into organics, preventing its decay and the subsequent return to the atmosphere (Mitchell et al., <xref ref-type="bibr" rid="B267">2010</xref>; Power et al., <xref ref-type="bibr" rid="B322">2011</xref>, <xref ref-type="bibr" rid="B321">2014</xref>). Heterotrophic bacteria have been shown to promote carbonate precipitation <italic>via</italic> oxidation of organic matter in laboratory experiments with phototrophic and heterotrophic consortia in mine tailings (Power et al., <xref ref-type="bibr" rid="B322">2011</xref>) and ureolytic microbes in synthetic brine (Mitchell et al., <xref ref-type="bibr" rid="B267">2010</xref>).</p>
<p>These early investigations into microbially-enhanced carbon sequestration in mine tailings illustrate promise for more scaled deployment. Carbon sequestration potential using microbes in mine tailings has been variously estimated at 123 t ha.<sup>&#x02212;1</sup> yr.<sup>&#x02212;1</sup> (McCutcheon et al., <xref ref-type="bibr" rid="B252">2016</xref>) to 222&#x02013;238 t ha.<sup>&#x02212;1</sup> yr.<sup>&#x02212;1</sup> (McCutcheon et al., <xref ref-type="bibr" rid="B250">2019</xref>) based on rates found in laboratory experiments, or 175 Mt yr.<sup>&#x02212;1</sup> globally if carbonation is taken to completion, which could also be economically viable (Power et al., <xref ref-type="bibr" rid="B321">2014</xref>). Applications using minerals mined for the purpose of weathering would increase this potential drastically. However, field trials and pilot tests, as well as integration and optimization of the combined use of phototrophs, heterotrophs, enzymes and biostimulants will be required to determine the true benefits and costs these approaches can bring to carbon removal and sequestration.</p>
<p>Some authors have proposed the biomass produced during phototroph-mediated carbonate precipitation could be used for production of fuels or other commodity chemicals (Ramanan et al., <xref ref-type="bibr" rid="B329">2010</xref>; Power et al., <xref ref-type="bibr" rid="B322">2011</xref>), providing a second source of economic utility. The biomass could also be fed to heterotrophs, producing carbonic acid and other organic acids that would dissolve alkaline minerals and further precipitate carbonate.</p>
<p>CA has been investigated for applications in carbon capture, utilization and storage (CCUS), primarily in point source CO<sub>2</sub> scrubbers (Alvizo et al., <xref ref-type="bibr" rid="B7">2014</xref>; Bose and Satyanarayana, <xref ref-type="bibr" rid="B35">2017</xref>; Giri et al., <xref ref-type="bibr" rid="B118">2020</xref>; Mesbahuddin et al., <xref ref-type="bibr" rid="B264">2021</xref>). Some research has investigated the use of CA in geochemical NETs. Bovine CA has been shown to efficiently promote carbonation of alkaline minerals by alleviating the hydration of CO<sub>2</sub> as a kinetic barrier, with 240 and 360% increased sequestration rates of carbon in brucite under non-optimized conditions with sparging of 10% CO<sub>2</sub> (Power et al., <xref ref-type="bibr" rid="B317">2016</xref>) or ambient air (Power et al., <xref ref-type="bibr" rid="B318">2013a</xref>), respectively. <italic>E. coli</italic> expressing recombinant CA were also shown to facilitate carbonate precipitation (Kim et al., <xref ref-type="bibr" rid="B188">2012</xref>; Tan et al., <xref ref-type="bibr" rid="B396">2018</xref>). The native CA activity in unicellular algae was found to facilitate carbonate precipitation during sparging of 10% CO<sub>2</sub> in alkaline media while producing algal biomass. These experiments warrant further research into deployment of CA in geochemical NETs.</p>
<p>Ureolytic (Mitchell et al., <xref ref-type="bibr" rid="B267">2010</xref>) and denitrifying (Martin et al., <xref ref-type="bibr" rid="B240">2013</xref>) bacteria have also been explored for their potential to mediate carbonate precipitation for carbon sequestration. However, the utility of these alkalinity-generating heterotrophs is limited by the requirement that the carbon should be delivered as a reduced carbon feedstock (urea in the case of ureolytic), since they only produce enough alkalinity to mineralize the carbonate their metabolism produces (Mitchell et al., <xref ref-type="bibr" rid="B267">2010</xref>). However, they may be useful for sealing pores <italic>via</italic> carbonate precipitation to form caprock for subsurface storage of supercritical CO<sub>2</sub> (Cunningham et al., <xref ref-type="bibr" rid="B63">2009</xref>).</p>
<p>While most engineered biomineralization research has been conducted under ambient pressures, a few studies have been performed at higher pressures more relevant to subsurface mineralization; however these studies were performed using ureolytic and denitrifying bacteria for the purpose of caprock formation (Martin et al., <xref ref-type="bibr" rid="B240">2013</xref>; Mitchell et al., <xref ref-type="bibr" rid="B268">2013</xref>). Organisms have been found growing as deep as 2.8 km in the subsurface, so the challenge of growth under high pressure is not insurmountable (Chivian et al., <xref ref-type="bibr" rid="B53">2008</xref>; Glombitza et al., <xref ref-type="bibr" rid="B122">2016</xref>).</p>
<p>In addition to sequestering carbon, biomineralization of alkaline minerals can provide a means for bioremediation of toxic metals or other pollutants by locking them within solid carbonate (Gadd, <xref ref-type="bibr" rid="B107">2010</xref>; Zhu and Dittrich, <xref ref-type="bibr" rid="B449">2016</xref>; Krajewska, <xref ref-type="bibr" rid="B195">2018</xref>; Jain and Arnepalli, <xref ref-type="bibr" rid="B164">2019</xref>; Ehrlich et al., <xref ref-type="bibr" rid="B85">2021</xref>). Microbially-mediated carbonation of mine tailings may serve the dual purpose of sequestering carbon and remediating mine sites (McCutcheon et al., <xref ref-type="bibr" rid="B252">2016</xref>).</p>
<p>It has also been proposed that alkaline minerals could be integrated into industrial microbial wastewater treatment and biogas production systems, where they would both neutralize acidity and sequester CO<sub>2</sub> (Lu et al., <xref ref-type="bibr" rid="B228">2018</xref>), with laboratory work showing promising results. In the methods proposed, microbes are not used for direct interaction with the minerals, but rather the minerals are integrated into existing microbial digestion or microbial electrosynthesis processes.</p></sec>
<sec>
<title>Toward Further Integration of Biology Into Geochemical NETs</title>
<p>Despite these exciting examples, we posit that the possibility-space of biologically-enhanced geochemical NETs is drastically under-explored given the broad ability of biological mechanisms to influence the key reactions. Organisms or biomolecules could be incorporated into the abiotic geochemical NETs described in the previous sections to improve reaction kinetics or prevent inhibitory passivation.</p>
<p>In environments where the dissolution rate of CO<sub>2</sub> is limiting, CAs could be deployed in solution, immobilized on surfaces or within water-permeable beads (Xu et al., <xref ref-type="bibr" rid="B430">2021</xref>), or produced by organisms engineered to secrete or display it (Zhu et al., <xref ref-type="bibr" rid="B450">2022</xref>). CAs could also be used to catalyze the dissolution of calcite, generating alkalinity (Subhas et al., <xref ref-type="bibr" rid="B390">2017</xref>). Silicase enzymes, if developed, could be useful for promoting the dissolution of alkaline minerals that contain polymerized silica, extending fast dissolution beyond the typically-favored orthosilicates (i.e., extend enhanced weathering beyond olivines to include pyroxenes, feldspars, etc.). Silicases could also help to dissolve passivation layers of amorphous silica.</p>
<p>Microbes could also be co-injected alongside aqueous or supercritical carbon dioxide to facilitate <italic>in situ</italic> mineralization. Microbes and enzymes could be particularly useful in reactor-based mineral weathering environments, where conditions can be more precisely controlled.</p>
<p>Microbes could also be applied alongside minerals that are distributed for terrestrial or coastal enhanced weathering efforts (Ribeiro et al., <xref ref-type="bibr" rid="B343">2020</xref>). Given that environmental microbes generally function in communities, emerging methods for modification of microbial communities (Lawson et al., <xref ref-type="bibr" rid="B206">2019</xref>) could be developed for use in many of the applications proposed above (e.g., in soil). If non-native or engineered microbes were used, the impact of uncontained release on indigenous ecosystems would need to be carefully considered, though challenges to stable establishment of non-native microbial communities is more likely to be encountered than unwanted proliferation (Albright et al., <xref ref-type="bibr" rid="B5">2022</xref>).</p>
<p>Given the ability of organisms to alter chemical microenvironments, they may be useful in contexts where different conditions are desired at the mineral surface compared to the bulk solution; for example, acidic conditions could be generated at a mineral surface to enhance dissolution kinetics while more basic conditions are maintained in the bulk to favor carbonate precipitation, or catalysts could be secreted at the mineral surface to avoid costs of chemically altering the bulk. In general, the microbes or biomolecules used could be native or non-native, and unmodified or engineered. Engineered organisms may provide superior performance, as they could be optimized both for the unnatural chemical and physical environments created by geochemical NETs and for their specific roles in technologies; for example, catalysts discovered using molecular engineering methods could be produced metabolically by engineered organisms.</p>
<p>Biological approaches may also enable tuning of the characteristics of the output materials of geochemical NETs for improved utility; for example, carbonate or silica particles could be produced biologically for use as cement additives that may reduce emissions from cement production, or sequester carbon in concrete, while improving concrete performance (M&#x000FC;ller et al., <xref ref-type="bibr" rid="B279">2013a</xref>; Gadikota et al., <xref ref-type="bibr" rid="B109">2015</xref>; Show et al., <xref ref-type="bibr" rid="B377">2015</xref>; Singh et al., <xref ref-type="bibr" rid="B378">2015</xref>; Iravani and Varma, <xref ref-type="bibr" rid="B163">2019</xref>). Diatoms could also be used for low-cost production of silica particles, potentially with surface functionalization or enzymatic display, for use in concrete or other applications (Sardo et al., <xref ref-type="bibr" rid="B363">2021</xref>).</p>
<p>Deployment of microbes or enzymes in the context of geochemical NETs may require tolerance of extreme conditions of pH, ionic strength, temperature, and/or pressure. Enzymes may need to be engineered for stability and/or isolated from extremophilic organisms (Packer and Liu, <xref ref-type="bibr" rid="B297">2015</xref>; Mamo and Mattiasson, <xref ref-type="bibr" rid="B235">2016</xref>; Ma et al., <xref ref-type="bibr" rid="B231">2019</xref>; Ren et al., <xref ref-type="bibr" rid="B336">2019</xref>; Yin et al., <xref ref-type="bibr" rid="B437">2019</xref>); such work is already underway for carbonic anhydrase (Mesbahuddin et al., <xref ref-type="bibr" rid="B264">2021</xref>). Deployed organisms, whether engineered or unmodified, will also need to tolerate those conditions; in the case of engineered organisms, this will require the development of synthetic biology methods for organisms that are presently non-standard (Wannier et al., <xref ref-type="bibr" rid="B419">2020</xref>; Filsinger et al., <xref ref-type="bibr" rid="B103">2021</xref>).</p>
<p>Many of the biogeochemical mechanisms discussed in this section have not received much attention from molecular biotechnology. Development of high-throughput platforms for their study and engineering will benefit both their application to NETs and the study of their underlying biology. For example, platforms for highly multiplexed screening, selection, or directed evolution of variants of enzymes or organisms that dissolve silicates or precipitate carbonates would be useful both for discovering natural mechanisms and for engineering. Such platforms are ubiquitous in well-developed medical domains of molecular biotechnology (Packer and Liu, <xref ref-type="bibr" rid="B297">2015</xref>; Zeymer and Hilvert, <xref ref-type="bibr" rid="B444">2018</xref>; Zeng et al., <xref ref-type="bibr" rid="B442">2020</xref>; Madhavan et al., <xref ref-type="bibr" rid="B232">2021</xref>).</p>
<p>Risks of environmental biocontamination should be considered before deployment of organisms in uncontained environments, such as mine tailings ponds or the subsurface. While engineering organisms for environmental deployment is a new frontier, we note that it is not without precedent, as there are many such research efforts underway (Coleman and Goold, <xref ref-type="bibr" rid="B56">2019</xref>; Jaiswal and Shukla, <xref ref-type="bibr" rid="B165">2020</xref>; Janssen and Stucki, <xref ref-type="bibr" rid="B166">2020</xref>; Rylott and Bruce, <xref ref-type="bibr" rid="B352">2020</xref>; Zhou et al., <xref ref-type="bibr" rid="B448">2022</xref>), including field trials (Carvalho et al., <xref ref-type="bibr" rid="B49">2015</xref>). Advances in biocontainment may provide options for restricting the spread of engineered microbes outside the intended environment (Lee et al., <xref ref-type="bibr" rid="B209">2018</xref>).</p>
<p>Given the apparent potential for biotechnology to contribute to geochemical NETs, we encourage the research and funding communities to more thoroughly investigate possibilities, including designs for possible NETs incorporating biological mechanisms and applied engineering of specific mechanisms, as well as the underlying biogeochemical science. Design and techno-economic considerations should be examined, accounting for the constraints biotechnology could alleviate and introduce, for example, reductions in capital and operating expenditures resulting from improved kinetics and extent of reaction, as well as methods and costs for delivering feedstocks to stimulate organism growth. The diversity of organisms and biomolecules that manipulate key reactions, as well their chemical mechanisms and metabolic and genomic underpinnings, should be more comprehensively examined. New research tools should be developed that will benefit both the fundamental biology and engineering of relevant mechanisms. Although biotechnology applications for geochemical NETs are currently under-developed, they may prove to play an important role with continued dedicated efforts. Possible applications range in complexity, with some accessible today while others will require years or decades of concomitant advances in basic biology, biotechnology, and NETs engineering. The latter group may assist in driving down costs to enable the crucial scaling of NETs by mid-century.</p></sec></sec></sec>
<sec id="s9">
<title>Life Cycle Assessment on Geochemical NETs</title>
<p>Research has mainly focused on techno-economic aspects of different geochemical NETs, and NETs in general. However, this is not the case for other important aspects such as their social perspective, including social acceptance, and their environmental perspective, the latter typically examined using the life cycle assessment (LCA) methodology. Specifically, even though (geochemical) NETs aim at removing CO<sub>2</sub>, they could also be responsible for emitting GHGs and other pollutants throughout their life cycle (Cooper et al., <xref ref-type="bibr" rid="B59">2022</xref>). Therefore, LCA can play an important role in both identifying such emissions and minimizing them, and also in comparing, from the environmental perspective, different NETs to identify the most promising solution under the local conditions. The reason is that the environmental performance of NETs depends not only on the technology but also on local conditions and spatial restrictions. For example, Lefebvre et al. (<xref ref-type="bibr" rid="B210">2019</xref>) found that transportation (distance from quarry to field) was a key limitation to enhanced weathering in soils, whereas Deutz and Bardow (<xref ref-type="bibr" rid="B73">2021</xref>) studied the environmental sustainability of the DAC plants in Hinwil and Hellishei&#x000F0;i, operated by Climeworks, and noted that the LCA results are very sensitive to the energy sources. Furthermore, when comparing different NETs, a wide range of environmental impacts should be considered (McQueen et al., <xref ref-type="bibr" rid="B261">2021b</xref>) as well as other aspects of each technology. For example, Cooper et al. (<xref ref-type="bibr" rid="B59">2022</xref>) compared the effectiveness in carbon sequestration of afforestation/reforestation, enhanced weathering, DAC, and BECCS and noted that even though the first had the lowest environmental impact it exhibited very low carbon removal rates, whereas BECCS had a lower impact on climate change and toxicity compared to enhanced weathering and DAC, but a much higher impact on land use.</p>
<p>However, more research is required on LCA, since many challenges pertaining to different functional units, system boundaries, the climate change-energy nexus, and the timing of GHG emissions and removals make the direct comparison of different NETs difficult (Goglio et al., <xref ref-type="bibr" rid="B123">2020</xref>). Furthermore, when system expansion has been used in LCA, avoided emissions, due to substitution of certain processes, have been misinterpreted as negative emissions, i.e., as carbon removal from the atmosphere, and therefore there is a need to distinguish between avoided and negative emissions, along with consistency in system boundaries and functional units (Terlouw et al., <xref ref-type="bibr" rid="B403">2021</xref>). For example, when 27 LCA studies on NETs were reviewed by Tanzer and Ram&#x000ED;rez (<xref ref-type="bibr" rid="B397">2019</xref>), 41% (11 studies) labeled avoided emissions as negative emissions, while it was also noted that system boundary choices also play an important role on the perceived emission balance of a NET. For this reason, guidelines for LCA studies on NETs have been proposed (M&#x000FC;ller et al., <xref ref-type="bibr" rid="B278">2020</xref>), while detailed life cycle inventory (LCI) data for different spatial extents, power systems, and chemical processes pertaining to NETs are also required (Cruz et al., <xref ref-type="bibr" rid="B62">2021</xref>). The importance of the system boundary, allocation/system expansion, data availability and accuracy, parameter uncertainty, permanence of CO<sub>2</sub> removal, and the need for common guidelines in LCAs for NETs has been also highlighted (McQueen et al., <xref ref-type="bibr" rid="B261">2021b</xref>). In this regard, the integration of LCA with techno-economic analysis (TEA) can decrease NETs uncertainty and improve technology readiness levels (TRL) (Li and Wright, <xref ref-type="bibr" rid="B216">2020</xref>).</p>
<p>Finally, apart from capturing and permanently storing CO<sub>2</sub>, (geochemical) NETs can also be associated with a wide range of positive but also negative environmental impacts, which have yet to be fully identified and therefore are not typically included in the system boundary of LCA studies. For example, ocean acidification greatly impacts marine ecosystems and reliant human communities (Doney et al., <xref ref-type="bibr" rid="B78">2020</xref>), particularly affecting tropical coral ecosystems (Comeau et al., <xref ref-type="bibr" rid="B58">2013</xref>; Feng et al., <xref ref-type="bibr" rid="B99">2016</xref>). However, these positive effects of alkalinity addition, along with possible negative ones such as changes in the primary productivity, respiration, and photophysiology of living organisms in alkalinized seawater (Gore et al., <xref ref-type="bibr" rid="B127">2019</xref>) or freshwater (Mant et al., <xref ref-type="bibr" rid="B237">2013</xref>) have yet to be fully identified and quantified and therefore cannot be captured in LCA studies that examined ocean alkalinity enhancement NETs. This is also the case for terrestrial NETs. For example, although the potential co-benefits of dispersive enhanced weathering approaches are numerous, these are difficult to quantify and use as inputs in LCA studies, since their potentially irreversible effects may not become apparent until years after application, at which point the socio-technical systems may already be entrenched [see Collingridge dilemma (Collingridge, <xref ref-type="bibr" rid="B57">1979</xref>)]. Therefore, there is a need for more research on the biological responses of different NETs, as to identify and quantify both the negative and positive effects and then use this data as inputs in LCA studies dealing with NETs. By doing so, more robust and reliable LCA results will be obtained which could also play an instrumental role in improving the social acceptability of NETs. Specifically, public acceptability can be a potential constraint on the research and deployment of NETs (Bertram and Merk, <xref ref-type="bibr" rid="B25">2020</xref>) and particularly of the ocean-based NETS, which might face a greater public acceptability challenge than their terrestrial counterparts (Cox et al., <xref ref-type="bibr" rid="B60">2021</xref>). To this end, apart from the environmental perspective, the social and economic perspectives should also be considered, thus examining the overall life cycle sustainability of each NET and effectively communicating the results to improve public perceptions and acceptability.</p></sec>
<sec id="s10">
<title>The Current State of Geochemical NETs</title>
<p>The recent Innovation for Cool Earth Forum (ICEF) Roadmap underlined that geochemical NETs have the lowest ratio of policy coverage to potential impact compared to other NET approaches. Most policy frameworks [e.g., 45Q, CA LCFS, EU CTS (Low Carbon Fuel Standard; EU Emissions Trading System (EU ETS); Internal Revenue Service, <xref ref-type="bibr" rid="B162">2021</xref>)] have criteria that unintentionally exclude geochemical NETs. International agreements prohibit commercial NETs that involve the release of alkaline feedstock into the ocean. However, some government agencies such as the Advanced Research Projects Agency-Energy (ARPA-E) in the US are exploring the potential contribution of alkaline mineral-based technologies to negative emissions, enhanced metal recovery, and the decarbonization of industry and mining (ARPA-E, <xref ref-type="bibr" rid="B12">2021</xref>).</p>
<p>While geochemical NETs remain a niche industry, the emergence of recent projects, such as those that offer carbon removal credits or sequester carbon within concrete, suggest that the industry is expanding. New companies are involved in piloting projects, some partnering with DAC companies that provide input CO<sub>2</sub>, e.g., the <italic>in situ</italic> mineralization projects underway in Iceland and Oman. Early but increasing exploration by large organizations in agriculture, mining, and concrete includes diamond miner DeBeers, who is experimenting in-house with mineralizing kimberlite (DeBeers group, <xref ref-type="bibr" rid="B71">2019</xref>), Rio Tinto, who recently invested in a CarbonCapture DAC&#x0002B;mineralization project (Hiar, <xref ref-type="bibr" rid="B149">2021</xref>), and The Global Cement and Concrete Association (80% of global production), whose 2021 roadmap calls for industrial-scale carbon capture at calcination sites (GCCA, <xref ref-type="bibr" rid="B114">2021</xref>).</p>
<p>A list of companies and projects currently known to the authors is shown geographically in the map given in <xref ref-type="fig" rid="F5">Figure 5</xref>. This map illustrates the range of projects underway today, but underlines that we are far from having a large-scale, high-functioning geochemical NETs industry, as many of these projects are in their infancy and have yet to deploy geochemical NETs or remove substantial amounts of CO<sub>2</sub>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Global map of geochemical NET companies, projects, initiatives and non-profits. The figure includes projects found via basic online searches and may be incomplete. See <xref ref-type="supplementary-material" rid="SM1">Supplementary Information</xref> for more details and links to the projects.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fclim-04-879133-g0005.tif"/>
</fig></sec>
<sec id="s11">
<title>Final Remarks</title>
<p>In this review, the body of knowledge on geochemical NETs was distilled and comprehensively discussed, focusing on terrestrial, subterranean, and ocean-based geochemical NETs. Over the last two decades, an enormous amount of work has been published relating to geochemical NETs, suggesting the large strides that have been made in this regard. It appears that these technologies have great potential for carbon removal and storage, owing to the vast resource of low cost natural and artificial alkaline minerals, their thermodynamically favorable reactions with CO<sub>2</sub>, and the long-term stability of the carbon-bearing products they form. However, the field of geochemical NETs remains, by and large, nascent with few fully-fledged technologies being available. To avoid the worst effects of climate change the introduction of geochemical NETs at scale (Gt CO<sub>2</sub> yr.<sup>&#x02212;1</sup>) is required as soon as possible. To achieve this, proactive, deliberate, and strategic initiatives are necessary for accelerating technology maturity along with substantially improving the public acceptance of these technologies, which is required for their large-scale introduction. For this reason, in Part II of this work, a roadmap, which is accessible and actionable to both specialist and non-specialist actors, is put forth with the goal of catalyzing the implementation of gigaton-scale removal on the timeframes that the Intergovernmental Panel on Climate Change (IPCC) and other key organizations suggest that is needed from as soon as 2025.</p></sec>
<sec id="s12">
<title>Author Contributions</title>
<p>All authors contributed to the drafting and revision of the manuscript, and read and approved the final submitted version.</p></sec>
<sec sec-type="funding-information" id="s13">
<title>Funding</title>
<p>The authors at Heriot-Watt University acknowledge UKRI funding under the UK Greenhouse Gas Removal Programme (NE/P019943/1, NE/ P019730/1), EPSRC funding for the Industrial Decarbonisation Research and Innovation Centre (EP/V027050/1), and EU funding under the H2020 Fighting and adapting to climate change programme OceanNETs project 869357. EB acknowledges Lisa Yang and the MIT Climate Grand Challenge initiative.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p></sec>
<sec sec-type="disclaimer" id="s14">
<title>Publisher&#x00027;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
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<ack><p>This work is a product of collaborative effort between Heriot-Watt University academics and non-governmental organization The Climate Map, whose mission is to uncover frontier opportunities and priority initiatives in carbon removal and storage, and catalyze action on them. We thank the following co-founders of The Climate Map and members of The Climate Map&#x00027;s Steering Committee, who played a key role in conceptualizing The Climate Map and its approach to roadmapping, and whose support made this project possible: Joel Armin-Hoiland, Remi Bouteille, David Mann, and Ryan Wise. We also thank Chris Boulos, Meghan Bush, and Charles Van Tassel for their support of The Climate Map&#x00027;s roadmapping process. We also thank Sarah Sclarsic, Shahar Bracha, Joey Benetatos and Gordon Southam for helpful conversations related to the biotechnology section of this review. Special thanks go to Liam Bullock for granting us permission to republish his kinetic data on the weathering of mine tailings.</p>
</ack><sec sec-type="supplementary-material" id="s15">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fclim.2022.879133/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fclim.2022.879133/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/></sec>
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<title>Nomenclature</title>
<p>Carbonic anhydrase (CA): Enzyme that catalyzes equilibration between dissolved CO<sub>2</sub> and carbonic acid.</p>
<p>CO<sub>2</sub> mineralization: also referred to as mineral carbonation, a process by which CO<sub>2</sub> becomes a solid mineral, namely carbonate. The term carbon mineralization is also widely used in the field and should not be confused with conversion of organic carbon into CO<sub>2</sub>.</p>
<p>Direct air capture (DAC): an engineered process of capturing carbon dioxide directly from ambient air and generating a concentrated stream of CO<sub>2</sub> for sequestration or utilization.</p>
<p>Dissolved inorganic carbon (DIC): HCO<sub>3</sub><sup>&#x02013;</sup><sub>(aq)</sub> &#x0002B; CO<sub>3</sub><sup>2&#x02013;</sup><sub>(aq)</sub> &#x0002B; CO<sub>2(aq)</sub></p>
<p>Enhanced weathering: a method whereby crushed alkaline minerals, typically Mg- and Ca-rich silicates, are spread in the environment where they undergo physical, chemical and biological weathering, thus removing CO<sub>2</sub> from the atmosphere and storing it as carbonate minerals and ocean bicarbonate. Two main types of enhanced weathering exist&#x02014;coastal enhanced weathering and enhanced weathering in soils. Over longer time frames, these are also methods of ocean alkalinity enhancement.</p>
<p>Extracellular polymeric substances (EPS): A broad term for biological polymers secreted by microbes. Depending on specific properties, EPS can influence ion concentrations in microenvironments, nucleate carbonate precipitation, and catalyze mineral dissolution.</p>
<p><italic>Ex situ</italic> mineralization: High surface area alkaline minerals are reacted with CO<sub>2</sub>-rich gases in engineered reactors, enhanced by elevated temperature and pressure, or using reagents. Mineral reactants are usually transported to a site of CO<sub>2</sub> production. Carbonate mineral products may be utilized.</p>
<p>Geochemical NETs: Any negative emissions technology which involves substantial amounts of alkali or alkaline minerals in its flowsheet.</p>
<p>Indirect ocean capture (IOC): Technologies which remove dissolved inorganic carbon from the ocean, and thus CO<sub>2</sub> from the atmosphere, <italic>via</italic> air-ocean gas exchange due to the pH sensitivity of the ocean&#x00027;s carbonate buffer system.</p>
<p><italic>In situ</italic> mineralization: CO<sub>2</sub>-bearing fluids or wet supercritical CO<sub>2</sub> are injected into suitable rock formations beneath the Earth&#x00027;s surface where the CO<sub>2</sub> is mineralized.</p>
<p>Negative emissions technologies (NETs): Any technology which removes CO<sub>2</sub> from the air, directly or indirectly, for the purpose of climate change mitigation. Also known as carbon dioxide removal (CDR) technologies.</p>
<p>Ocean alkalinity enhancement (OAE): Technologies that increase the alkalinity of seawater to enhance the ocean&#x00027;s natural carbon sink.</p>
<p>Ocean liming: Spreading soluble alkaline minerals in the ocean to increase ocean alkalinity.</p>
<p>Surficial mineralization: Air, or low purity CO<sub>2</sub>-bearing gases or fluids, are reacted with high surface area natural alkaline rocks, mine tailings or other alkaline industrial wastes, in large piles, heaps, or in controlled spaces such as greenhouses, forming carbonate minerals. Surficial processes, like enhanced weathering, occur more slowly than <italic>ex situ</italic> processes but unlike enhanced weathering, minerals are not transported or spread in the environment.</p>
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