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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1348375</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2024.1348375</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Promotion of CO<sub>2</sub> fracturing for CCUS&#x2014;the technical gap between theory and practice</article-title>
<alt-title alt-title-type="left-running-head">Hou et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenrg.2024.1348375">10.3389/fenrg.2024.1348375</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Hou</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2557317/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Luo</surname>
<given-names>Jiangfeng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gong</surname>
<given-names>Peibin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ji</surname>
<given-names>Ya</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Lei</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>China-UK Low Carbon College</institution>, <institution>Shanghai Jiao Tong University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Drilling Technology Research Institute of SINOPEC</institution>, <institution>Shengli Oilfield Service Corporation</institution>, <addr-line>Dongying</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Petroleum Engineering</institution>, <institution>China University of Petroleum (East China)</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1442165/overview">Xindi Sun</ext-link>, Slippery Rock University of Pennsylvania, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1741233/overview">Gang Lei</ext-link>, China University of Geosciences Wuhan, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1015756/overview">Timothy A. Barckholtz</ext-link>, ExxonMobil Technology and Engineering, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1514109/overview">Daigang Wang</ext-link>, China University of Petroleum, Beijing, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Peibin Gong, <email>peibingong@163.com</email>; Ya Ji, <email>jiya@sjtu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>14</day>
<month>03</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1348375</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>12</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>03</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Hou, Luo, Gong, Ji and Zhang.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Hou, Luo, Gong, Ji and Zhang</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>CO<sub>2</sub>, used as an environmentally friendly fracturing fluid, has encountered a bottleneck in development in recent years. Despite great efforts in research work, limited progress has been made in field applications. In this study, an extensive literature review of research work and field cases was performed to summarize the technical issues and challenges of CO<sub>2</sub> fracturing. The key issues of CO<sub>2</sub> fracturing were analyzed to reveal the gap between fundamental research and field operations. The effects of CO<sub>2</sub> properties on fracture creation and proppant transport were synthetically analyzed to extract new common research orientations, with the aim of improving the efficiency of CO<sub>2</sub> injection. The hydraulic parameters of CO<sub>2</sub> fracturing were compared with those of water-based fracturing fluids, which revealed a theory-practice gap. By studying the developing trends and successful experiences of conventional fluids, new strategies for CO<sub>2</sub> fracturing were proposed. We identified that the major theory-practice gap in CO<sub>2</sub> fracturing exists in pump rate and operation scale. Consequently, the friction reducer, effects of flow loss (due to leak-off) and distribution (within fracture networks), and shear viscosity of thickened CO<sub>2</sub> are key factors in improving both fracture propagation and proppant transport. By increasing the scale of injected CO<sub>2</sub>, the CO<sub>2</sub> fracturing technique can be enhanced, making it an essential option for carbon capture, utilization, and storage (CCUS) to reduce carbon emissions and mitigate climate change.</p>
</abstract>
<kwd-group>
<kwd>CCUS</kwd>
<kwd>CO<sub>2</sub> fracturing</kwd>
<kwd>case study</kwd>
<kwd>fracture propagation</kwd>
<kwd>proppant transport</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Carbon Capture, Utilization and Storage</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Carbon capture, utilization, and storage (CCUS) is an essential technique for achieving the goals set forth in the Paris Agreement, particularly the target of limiting global warming to 1.5&#xb0;C (<xref ref-type="bibr" rid="B64">Zheng et al., 2022a</xref>; <xref ref-type="bibr" rid="B45">Shen et al., 2022</xref>; <xref ref-type="bibr" rid="B63">Zhao et al., 2022</xref>; <xref ref-type="bibr" rid="B67">Zhu et al., 2022</xref>). It plays a crucial role in mitigating greenhouse gas emissions and reducing the concentration of carbon dioxide (CO<sub>2</sub>) in the atmosphere (<xref ref-type="bibr" rid="B28">Lab, 2022</xref>; <xref ref-type="bibr" rid="B16">Hou et al., 2024a</xref>). CCUS enables the capture of CO<sub>2</sub> emissions from various industrial processes, such as power generation, cement production, and steel manufacturing, and then stores the CO<sub>2</sub> underground or utilizes it in other applications (<xref ref-type="bibr" rid="B44">Sharifzadeh et al., 2019</xref>; <xref ref-type="bibr" rid="B62">Zhang et al., 2020</xref>). This allows for the continued utilization of these traditional assets while simultaneously reducing their carbon footprint. Among all the approaches to carbon sinks, geological storage of CO<sub>2</sub> can permanently remove the largest amount of carbon in a short time compared to other methods such as afforestation, agricultural practices, and chemical applications, among others (<xref ref-type="bibr" rid="B3">Busch et al., 2008</xref>; <xref ref-type="bibr" rid="B47">Tao and Clarens, 2013</xref>; <xref ref-type="bibr" rid="B10">Godec et al., 2014</xref>; <xref ref-type="bibr" rid="B30">Levine et al., 2016</xref>).</p>
<p>The ideal underground reservoirs for CO<sub>2</sub> storage primarily include oil and gas reservoirs, saline formations, and salt caverns (<xref ref-type="bibr" rid="B42">Rutqvist et al., 2008</xref>; <xref ref-type="bibr" rid="B9">Gilfillan et al., 2009</xref>; <xref ref-type="bibr" rid="B25">Jia et al., 2019</xref>). In this study, we specifically focus on oil and gas reservoirs due to their well-known geological conditions and well-constructed infrastructures. These factors significantly improve the efficiency, economy, and safety of CO<sub>2</sub> injection and storage (<xref ref-type="bibr" rid="B48">Tayari et al., 2015</xref>). The utilization of CO<sub>2</sub> in oil fields has a long history, particularly in the context of enhanced oil recovery (EOR) techniques since the 1950s (<xref ref-type="bibr" rid="B5">Crawford et al., 1963</xref>; <xref ref-type="bibr" rid="B32">Lillies and King, 1982</xref>). The injection of CO<sub>2</sub> drives and displaces <italic>in situ</italic> oil and gas, especially the heavier components, by reducing their viscosity and increasing their mobility. This process enhances the ultimate recovery of oil and gas. The remarkable performance of CO<sub>2</sub> injection in both the oil and gas industry and as a carbon sink has drawn worldwide attention. Currently, approximately 80% of the CCUS projects worldwide inject CO<sub>2</sub> into oil and gas formations for EOR, as illustrated in <xref ref-type="table" rid="T1">Table 1</xref> (<xref ref-type="bibr" rid="B24">Institute, 2021</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Representative CCUS projects worldwide.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Project</th>
<th align="center">Location</th>
<th align="center">Resource</th>
<th align="center">Utilization/Storage</th>
<th align="center">Scale (million tons/year)</th>
<th align="center">Notes</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">CNOOC CCUS Project</td>
<td align="center">China</td>
<td align="center">&#x2014;</td>
<td align="center">Oil reservoir</td>
<td align="center">3.0&#x223c;10.0</td>
<td align="center">Planning</td>
</tr>
<tr>
<td align="center">Shengli Oil Field</td>
<td align="center">China</td>
<td align="center">Power plant</td>
<td align="center">Oil reservoir</td>
<td align="center">2.0</td>
<td align="center">Upgrading</td>
</tr>
<tr>
<td align="center">Sinopec Qilu Petrochemical</td>
<td align="center">China</td>
<td align="center">Coal-to-gas</td>
<td align="center">Oil reservoir</td>
<td align="center">1.0</td>
<td align="center">In process</td>
</tr>
<tr>
<td align="center">Snohvit and Sleipner</td>
<td align="center">Norway</td>
<td align="center">Reservoirs</td>
<td align="center">Saline/reservoir</td>
<td align="center">1.7</td>
<td align="center">Since 1992</td>
</tr>
<tr>
<td align="center">Longship (Northern Lights)</td>
<td align="center">Norway</td>
<td align="center">Power plant</td>
<td align="center">Saline</td>
<td align="center">5.0</td>
<td align="center">In process</td>
</tr>
<tr>
<td align="center">Weyburn (Boundary Dam)</td>
<td align="center">CA and United States</td>
<td align="center">Power plant</td>
<td align="center">Oil reservoir</td>
<td align="center">1.0</td>
<td align="center">Since 1998</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>However, CCUS in oil fields is facing several technical and environmental challenges. One of the most significant issues is the efficiency of CO<sub>2</sub> storage through the EOR process, which has been reported as low as 20% in previous studies (<xref ref-type="bibr" rid="B58">Zhang R.-H. et al., 2021</xref>). In other words, approximately 80% of the injected CO<sub>2</sub> is reproduced along with the extracted oil and gas, necessitating the separation and reinjection of CO<sub>2</sub>. Additionally, the migration of CO<sub>2</sub> over geological timescales is currently difficult to predict. Extensive monitoring devices are installed from the surface to track the movement of injected CO<sub>2</sub> in representative CCUS sites, such as the Weyburn project. The continuous movement of CO<sub>2</sub> is monitored over time and injections. This is primarily due to the interconnected pore system in the rock matrix, which provides a pathway through which the mature oil and gas migrate from the source rock into the geological structure, reflecting the nature of a conventional oil and gas reservoir (<xref ref-type="bibr" rid="B11">Goodman et al., 2020</xref>).</p>
<p>The CO<sub>2</sub> fracturing technique is an alternative approach to CO<sub>2</sub> storage, distinct from EOR, and is typically employed in unconventional formations characterized by extremely low permeability and water sensitivity (<xref ref-type="bibr" rid="B17">Hou et al., 2024b</xref>). As a relatively new technique, CO<sub>2</sub> has demonstrated its efficiency as a working fluid in reducing the breakdown pressure of the formation and increasing the stimulated volume following hydraulic injection (<xref ref-type="bibr" rid="B18">Hou et al., 2021</xref>). Extensive laboratory research has been conducted to elucidate the rock-mechanical and flow-dynamical characteristics of CO<sub>2</sub> fracturing (<xref ref-type="bibr" rid="B53">Xiangzeng et al., 2014</xref>; <xref ref-type="bibr" rid="B49">Wang H. et al., 2019</xref>). Corresponding chemical additives have also been developed to enhance the performance of CO<sub>2</sub>. Field trials have indicated that the flowback rate of CO<sub>2</sub> after hydraulic injection is significantly lower compared to that after EOR (<xref ref-type="bibr" rid="B56">Yiyu et al., 2021</xref>; <xref ref-type="bibr" rid="B12">Honglei et al., 2022</xref>). However, the CO<sub>2</sub> fracturing technique is still in the field-trial stage compared to CO<sub>2</sub> EOR. It injects CO<sub>2</sub> at much higher pressures and rates than in EOR injections, resulting in increased investment and challenges (<xref ref-type="bibr" rid="B26">Jing et al., 2022</xref>). Furthermore, there exists a gap between previous laboratory-scale efforts and practical field applications at a larger scale.</p>
<p>This study focuses on identifying the disparity and deficiencies between the theory and practice of CO<sub>2</sub> fracturing, with the aim of bridging this gap. Firstly, CO<sub>2</sub> fracturing is redefined and limited to supercritical CO<sub>2</sub> (SC-CO<sub>2</sub>) fracturing, which presents a more environmentally friendly solution for CCUS in the oil and gas industry. Secondly, an extensive literature review is carried out to summarize the performances of fracture creation and proppant transport by CO<sub>2</sub>&#x2014;the major tasks of a hydraulic fracturing fluid. By conducting a systematic analysis of research findings and field trials related to CO<sub>2</sub> fracturing, we propose several promising research directions that can advance the field and enhance the efficiency of CO<sub>2</sub> fracturing in practical applications. Through these efforts, we anticipate the CO<sub>2</sub> fracturing technique to become an essential supplement and approach for CCUS in oil and gas reservoirs.</p>
</sec>
<sec id="s2">
<title>2 History and restricted definition of CO<sub>2</sub> fracturing</title>
<p>The history of CO<sub>2</sub> fracturing can be traced back to the 1970s when it was first experimented with as a method for enhancing oil recovery. Initial trials focused on using CO<sub>2</sub> as a miscible fluid to displace oil from reservoirs, with CO<sub>2</sub> being injected as a liquid from the wellhead. In order to enhance the performance of CO<sub>2</sub> fracturing and flooding, CO<sub>2</sub> was combined with foam-based fracturing techniques, leading to the development of CO<sub>2</sub> foam fracturing in the early 2000s (<xref ref-type="bibr" rid="B35">Martin and Taber, 1992</xref>; <xref ref-type="bibr" rid="B57">Yost et al., 1993</xref>). The use of foam in CO<sub>2</sub> fracturing offers several advantages over traditional hydraulic fracturing methods. Firstly, the foam acts as a carrier for the CO<sub>2</sub>, reducing the amount of CO<sub>2</sub> required to achieve the desired fracturing effect. Secondly, the viscosity of CO<sub>2</sub> foam is significantly improved, enhancing the transport capacity of proppants (<xref ref-type="bibr" rid="B34">Lv et al., 2017</xref>). However, the behavior and stability of CO<sub>2</sub> foam under formation conditions present challenges due to the phase change of CO<sub>2</sub> from a gaseous to a supercritical phase. The quality of the foam plays a crucial role in fracture generation, propagation, and production enhancement. Moreover, the use of water in CO<sub>2</sub> foam is inevitable, which can lead to permeability and conductivity losses in water-sensitive formations.</p>
<p>With the revolution of unconventional oil and gas, a more specific definition of CO<sub>2</sub> fracturing has emerged - supercritical CO<sub>2</sub> (SC-CO<sub>2</sub>) fracturing, also known as water-free fracturing (<xref ref-type="bibr" rid="B37">Middleton et al., 2015</xref>; <xref ref-type="bibr" rid="B43">Sanguinito et al., 2018</xref>; <xref ref-type="bibr" rid="B52">Wang et al., 2019</xref>). This technique utilizes 100% CO<sub>2</sub> as the primary fracturing fluid to prevent damage caused by water in unconventional formations. In reservoirs buried approximately 800&#xa0;m deeper, the injected CO<sub>2</sub> undergoes a transition into a supercritical phase state, characterized by temperatures and pressures above the critical point (7.3&#xa0;MPa, 31&#xb0;C). The phase state transition of CO<sub>2</sub> (from supercritical state to liquid state) has been observed and illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>. In the process of supercritical CO<sub>2</sub> fracturing, CO<sub>2</sub> is initially pressurized and heated to reach its supercritical state at the surface. This supercritical CO<sub>2</sub> is then mixed with proppant and injected into the wellbore to fracture the targeted reservoir zone. Supercritical CO<sub>2</sub> exhibits high density, low viscosity, low surface tension, high diffusion coefficient, and excellent heat and mass transfer properties (<xref ref-type="bibr" rid="B18">Hou et al., 2021</xref>). As a fracturing fluid, it does not harm the reservoir, effectively avoiding near-wellbore formation damage, protecting the oil and gas reservoir, improving reservoir permeability, and facilitating easy flowback, compared with the traditional water-based fracturing fluids. Moreover, supercritical CO<sub>2</sub> fracturing fluid can dehydrate tight clay formations, open up sandstone pore channels, and reduce the skin factor of the wellbore.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>CO<sub>2</sub> phase transitions (from the supercritical state to CO<sub>2</sub> liquid) observed through a pressure-resistent window during a depressurization and cooling process, from 8.10&#xa0;MPa to 42.5&#xb0;C (I) to 5.80&#xa0;MPa and 12.6&#xb0;C (IV).</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g001.tif"/>
</fig>
<p>In this study, we adopt a specific definition of CO<sub>2</sub> fracturing, specifically referring to supercritical CO<sub>2</sub> (SC-CO<sub>2</sub>) fracturing, which is distinct from other forms of CO<sub>2</sub> fracturing such as CO<sub>2</sub> foam. For one reason, the focus on supercritical CO<sub>2</sub> fracturing is justified by its similarity to the process of CO<sub>2</sub> storage, as it eliminates the use of water and demonstrates higher efficiency in CO<sub>2</sub> storage (<xref ref-type="bibr" rid="B15">Hou et al., 2020</xref>; <xref ref-type="bibr" rid="B14">Hou and Elsworth, 2021</xref>). The flowback rate of fracturing injected CO<sub>2</sub> is lower than other forms of CO<sub>2</sub> storage, for instance, CO<sub>2</sub>-EOR (<xref ref-type="bibr" rid="B17">Hou et al., 2024b</xref>). This indicates a higher efficiency of permanent CO<sub>2</sub> storage. This approach presents a more environmentally friendly solution for CCUS in the oil and gas field. For the other reason, CO<sub>2</sub> fracturing represents one of the most promising approaches to large-scale carbon sinks. If water-based fracturing operations could be replaced by CO<sub>2</sub> fracturing, one single horizontal well may store more than ten thousand tons of CO<sub>2</sub>. Considering that thousands of wells may be fractured in a single oil or gas field, the CO<sub>2</sub> storage capacity by CO<sub>2</sub> fracturing shows enormous potential. Therefore, the promotion of CO<sub>2</sub> fracturing for CCUS represents a critical approach to carbon sinks and carbon neutrality.</p>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Fracture creation by CO<sub>2</sub>
</title>
<p>Fractures formed through supercritical CO<sub>2</sub> fracturing exhibit distinct characteristics that are influenced by the properties of supercritical CO<sub>2</sub>. One notable effect is the reduction in the breakdown pressure of the formation, allowing for easier penetration into the rock matrix due to its low viscosity, high diffusivity, and absence of surface tension. Supercritical CO<sub>2</sub> exhibits a lower viscosity (three magnitudes or even smaller) compared to alternative fracturing fluids like water-based fluids (<xref ref-type="bibr" rid="B27">Kuang et al., 2023</xref>). This attribute allows for smoother flow through minuscule pores and fractures within the reservoir rock, enabling deeper penetration into the rock matrix and generating fractures with enhanced tortuosity. This characteristic allows the injected fluid to effectively access the pre-existing fracture, and as the induced fracture propagates along its path, there is a significant reduction (&#x223c;50%) in breakdown pressure (<xref ref-type="bibr" rid="B60">Zhang et al., 2017a</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B59">Zhang et al., 2021</xref>; <xref ref-type="bibr" rid="B7">Feng and Firoozabadi, 2023</xref>), as summarized in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Comparisons between the fractures created by SC-CO<sub>2</sub> and water-based fluids (<xref ref-type="bibr" rid="B60">Zhang et al., 2017a</xref>; <xref ref-type="bibr" rid="B31">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B59">Zhang et al., 2021</xref>; <xref ref-type="bibr" rid="B7">Feng and Firoozabadi, 2023</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Fluid type</th>
<th rowspan="2" align="center">Rock type</th>
<th colspan="2" align="center">Research condition</th>
<th colspan="2" align="center">Fracturing behaviors</th>
<th rowspan="2" align="center">Method</th>
<th rowspan="2" align="center">References</th>
</tr>
<tr>
<th align="center">Confining Pressure/MPa</th>
<th align="center">Fluid Temperature/&#xb0;C</th>
<th align="center">Breakdown Pressure/MPa</th>
<th align="center">Fracture geometry</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="center">SC-CO<sub>2</sub>
</td>
<td rowspan="3" align="center">Granite</td>
<td rowspan="3" align="center">40</td>
<td align="center">40</td>
<td align="center">53.4</td>
<td rowspan="4" align="center">Main fracture and branches</td>
<td rowspan="6" align="center">Experiment</td>
<td rowspan="3" align="center">
<xref ref-type="bibr" rid="B7">Feng and Firoozabadi (2023)</xref>
</td>
</tr>
<tr>
<td align="center">60</td>
<td align="center">52.3</td>
</tr>
<tr>
<td align="center">80</td>
<td align="center">50.1</td>
</tr>
<tr>
<td align="center">Sandstone</td>
<td align="center">15/15/7 (Triaxial stress)</td>
<td align="center">80</td>
<td align="center">8.8</td>
<td align="center">
<xref ref-type="bibr" rid="B31">Li et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">Shale</td>
<td align="center">12/10/8 (Triaxial stress)</td>
<td align="center">60</td>
<td align="center">15.16</td>
<td rowspan="2" align="center">Irregular multiple fractures of different lengths and widths</td>
<td align="center">
<xref ref-type="bibr" rid="B60">Zhang et al. (2017a)</xref>
</td>
</tr>
<tr>
<td align="center">Hot Dry Rock</td>
<td align="center">10/7.5/5 (Triaxial stress)</td>
<td align="center">32</td>
<td align="center">&#x223c;20.3</td>
<td align="center">
<xref ref-type="bibr" rid="B58">Zhang et al. (2021a)</xref>
</td>
</tr>
<tr>
<td rowspan="2" align="center">Water</td>
<td rowspan="2" align="center">Granite</td>
<td rowspan="2" align="center">40</td>
<td align="center">20</td>
<td align="center">61.1</td>
<td rowspan="5" align="center">Single main fracture</td>
<td rowspan="2" align="center">Simulation</td>
<td rowspan="2" align="center">
<xref ref-type="bibr" rid="B7">Feng and Firoozabadi (2023)</xref>
</td>
</tr>
<tr>
<td align="center">20</td>
<td align="center">59.0</td>
</tr>
<tr>
<td align="center">Slickwater</td>
<td align="center">Sandstone</td>
<td align="center">15/15/7 (Triaxial stress)</td>
<td align="center">20</td>
<td align="center">12.8</td>
<td rowspan="2" align="center">Experiment</td>
<td align="center">
<xref ref-type="bibr" rid="B31">Li et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">Water</td>
<td align="center">Shale</td>
<td align="center">12/10/8 (Triaxial stress)</td>
<td align="center">60</td>
<td align="center">31.79</td>
<td align="center">
<xref ref-type="bibr" rid="B61">Zhang et al. (2017b)</xref>
</td>
</tr>
<tr>
<td align="center">Water</td>
<td align="center">Hot Dry Rock</td>
<td align="center">10/7.5/5 (Triaxial stress)</td>
<td align="center">32</td>
<td align="center">&#x223c;37.5</td>
<td align="center">Simulation</td>
<td align="center">
<xref ref-type="bibr" rid="B59">Zhang et al. (2021b)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Laboratory tests have indicated that fractures created by CO<sub>2</sub> have higher tortuosity, as illustrated in <xref ref-type="fig" rid="F2">Figure 2</xref> (<xref ref-type="bibr" rid="B46">Song et al., 2019</xref>). Tortuosity pertains to the extent of deviation from a linear trajectory observed in fractures. The higher degree of fracture tortuosity indicates that CO<sub>2</sub> follow intricate routes within the reservoir rock, thereby augmenting their interaction surface. Additionally, CO<sub>2</sub> fracturing holds the potential to generate a more intricate network of interconnected fractures within the reservoir, surpassing the complexity of fractures induced by water-based fluids (<xref ref-type="bibr" rid="B50">Wang and Sharma, 2023</xref>). This characteristic enhances the fracture surface area and the volume of the reservoir that is stimulated. The increased fracture surface area provides more flowing pathways for <italic>in situ</italic> hydrocarbons during production operations, thus improving well productivity and enhanced recovery rates from unconventional formations.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The fracture morphology created by CO<sub>2</sub> and fracturing fluids. Reproduced with permission from Ref. <xref ref-type="bibr" rid="B46">Song et al. (2019)</xref>, copyright (2019) Elsevier.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g002.tif"/>
</fig>
<p>However, a significant challenge associated with CO<sub>2</sub>-created fractures is their underdeveloped width, primarily due to the high rate of CO<sub>2</sub> leak-off and the net stress loss within the fracture. This loss of driving force leads to narrower and shorter fractures (<xref ref-type="bibr" rid="B66">Zhou and Burbey, 2014</xref>; <xref ref-type="bibr" rid="B51">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B40">Ranjith et al., 2019</xref>). The average fracture aperture of water, N<sub>2</sub>, L-CO<sub>2</sub> and SC-CO<sub>2</sub> shows relatively small variances falling in the range between 0.304&#xa0;mm and 0.317&#xa0;mm, as presented in <xref ref-type="fig" rid="F3">Figure 3</xref>. However, the largest standard deviation (0.201) of the aperture formed by SC-CO<sub>2</sub> fracturing is obtained, followed by water fracturing (0.171), L-CO<sub>2</sub> fracturing (0.123), and N<sub>2</sub> fracturing (0.091). This suggests the maximum roughness of the fractures created by SC-CO<sub>2</sub> (<xref ref-type="bibr" rid="B54">Yang et al., 2021</xref>). Furthermore, given the higher complexity and tortuosity of CO<sub>2</sub>-created fractures, the injection of proppants afterward becomes more challenging, resulting in elevated operation wellhead pressures. More careful planning and innovative solutions tailored specifically for CO<sub>2</sub> fracturing techniques are essential to overcome these challenges posed by narrow and short CO<sub>2</sub>-created fractures with complex geometries.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The distribution of fracture apertures induced by CO<sub>2</sub> and fracturing fluids. Reproduced with permission from Ref. <xref ref-type="bibr" rid="B54">Yang et al. (2021)</xref>, copyright (2022) Elsevier.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Proppant transport by CO<sub>2</sub>
</title>
<p>In addition to the more challenging conditions for proppant transport, a significant hurdle in CO<sub>2</sub> fracturing is the low viscosity of supercritical CO<sub>2</sub>, which is similar to gaseous CO<sub>2</sub>. As a result, proppant particles settle rapidly, leading to the formation of accumulations known as dunes (<xref ref-type="bibr" rid="B22">Hou et al., 2015</xref>). These dunes vary in shape and size as continuous injections progress. Within fractures, the proppant is then transported in the form of these dunes, creating a dynamic and complex process, unlike water-based high-viscosity fluids that evenly suspend the proppant (<xref ref-type="bibr" rid="B19">Hou et al., 2022a</xref>; <xref ref-type="bibr" rid="B23">Hou et al., 2022b</xref>). When the mass flow remains constant, altering the injection temperature to a higher value or reducing the injection pressure will lead to a decrease in both viscosity and density of supercritical CO<sub>2</sub>, resulting in evolutions of equilibrium height and distance for dune transport, as presented in <xref ref-type="fig" rid="F4">Figure 4</xref> (<xref ref-type="bibr" rid="B65">Zheng et al., 2022b</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Effects of injection temperature and pressure on dune equilibrium height and length based on experiments. Reproduced with permission from Ref. <xref ref-type="bibr" rid="B65">Zheng et al. (2022b)</xref>, copyright (2022) Elsevier.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g004.tif"/>
</fig>
<p>Furthermore, the high leak-off of CO<sub>2</sub> and the distribution of the injected fluid in complex fracture networks exacerbate proppant accumulation and can even cause sand screen-out due to the loss of the carrying fluid. Previous studies have demonstrated the influence of supercritical CO<sub>2</sub> on the settling, restarting, and flowing behaviors of proppants (<xref ref-type="bibr" rid="B20">Hou et al., 2017a</xref>; <xref ref-type="bibr" rid="B4">Chen and Sun, 2023</xref>). It has been observed that the high density of CO<sub>2</sub>, which is similar to liquid CO<sub>2</sub>, contributes to an enhanced capacity for proppant transport in supercritical CO<sub>2</sub>, as depicted in <xref ref-type="fig" rid="F5">Figure 5</xref>. Each black point (P1, P2, P3, P4 and P5) represents a proppant particle captured by the high-speed camera. The dashed lines derived from the black points represent the moving trajectory of the proppant particles, which are plotted automatically by the image analysis software. The terminal settling velocity of proppants in CO<sub>2</sub> is slightly higher, within the same magnitude, compared to settling velocities in water (<xref ref-type="bibr" rid="B22">Hou et al., 2015</xref>). Additionally, the slippage between the particles and the carrying CO<sub>2</sub> can be eliminated by increasing the flow rate of the slurry (<xref ref-type="bibr" rid="B21">Hou et al., 2017b</xref>). Restarting the movement of particles in CO<sub>2</sub> is even easier than in water due to the absence of interfacial tension and the generation of additional Magnus force through high-speed spinning, facilitating the restarting process (<xref ref-type="bibr" rid="B13">Hou et al., 2019</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Proppant particle movements (trajectories in colorized dashes), from the right side to the left side, in supercritical CO<sub>2</sub> captured by the high-speed camera.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g005.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Improving the research work on CO<sub>2</sub> fracturing</title>
<p>The primary objectives of a fracturing fluid are to create fractures and transport proppants. However, CO<sub>2</sub> fracturing faces significant challenges in both areas, as outlined in <xref ref-type="fig" rid="F6">Figure 6</xref>. In terms of fracture creation, there are several approaches that can be employed to improve performance. These include reducing the leakage of CO<sub>2</sub> into the rock matrix and natural fractures, establishing net stress within the fractures, and then enhancing the propagation of fracture networks. On the other hand, the capacity of CO<sub>2</sub> to carry proppants can be enhanced by addressing issues such as particle settling, eliminating slippage between the particles and CO<sub>2</sub>, and improving proppant transport within complex fracture networks.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Synthetical analyses of fracture creation and proppant transport regarding CO<sub>2</sub> fracturing.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g006.tif"/>
</fig>
<p>In order to address these challenges, various solutions have been analyzed and summarized in <xref ref-type="fig" rid="F6">Figure 6</xref>. One common approach is the use of CO<sub>2</sub> thickeners, which increase the viscosity of the fluid. This serves to reduce both proppant settling and CO<sub>2</sub> leak-off (<xref ref-type="bibr" rid="B6">Enick et al., 2012</xref>; <xref ref-type="bibr" rid="B1">Al Hinai et al., 2018</xref>). Additionally, it has been observed through numerical and experimental simulations that fracture width and particle slippage are influenced by the CO<sub>2</sub> pump rate. Higher pump rates facilitate fracture growth and help eliminate slippage (<xref ref-type="bibr" rid="B29">Lei et al., 2016</xref>). CO<sub>2</sub> leak-off is another prevalent issue that hampers fracture propagation and proppant transport. Therefore, promising research directions for improving CO<sub>2</sub> as a fracturing fluid include the development of friction reducers, investigating the effects of flow loss (caused by leak-off) and distribution (within fracture networks), as well as studying the shear viscosity of thickened CO<sub>2</sub> (the performance of the thickener under high pump-rate condition).</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Case study of CO<sub>2</sub> fracturing</title>
<p>The CO<sub>2</sub> fracturing technique is mainly applied in unconventional formations that have extremely tight rock matrix and nano-Darcy permeability (decreasing the leak-off of CO<sub>2</sub>). Three representative cases of CO<sub>2</sub> fracturing in tight oil, shale gas, and shale oil formations are summarized in <xref ref-type="table" rid="T3">Table 3</xref> (<xref ref-type="bibr" rid="B36">Meng et al., 2016</xref>; <xref ref-type="bibr" rid="B56">Yiyu et al., 2021</xref>; <xref ref-type="bibr" rid="B26">Jing et al., 2022</xref>). Case A uses pure CO<sub>2</sub> for cracking fractures and carrying proppant. Two types of additives are tested to increase the viscosity of CO<sub>2</sub> and its proppant-carrying capacity. Cases B and C only use CO<sub>2</sub> to crack the formation and create complex fracture networks. The high-viscosity gel is applied afterward to further develop the networks and carry the proppant. Generally, both the fracturing scale and pump rate are relatively small for CO<sub>2</sub> fracturing compared with those for water-based fracturing.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Summary of CO<sub>2</sub> fracturing cases.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">No.</th>
<th align="center">Case A</th>
<th align="center">Case B</th>
<th align="center">Case C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Year</td>
<td align="center">2016</td>
<td align="center">2017</td>
<td align="center">2019</td>
</tr>
<tr>
<td align="center">Well No.</td>
<td align="center">&#x2014;</td>
<td align="center">Yan-2011</td>
<td align="center">Jiye-1</td>
</tr>
<tr>
<td align="center">Location</td>
<td align="center">Jilin Oilfield</td>
<td align="center">Ordos Basin, Shaanxi</td>
<td align="center">Jilin Oilfield</td>
</tr>
<tr>
<td align="center">Formation</td>
<td align="center">Tight oil</td>
<td align="center">Yanchang Formation Shale</td>
<td align="center">Qingshankou Formation Shale</td>
</tr>
<tr>
<td align="center">Depth</td>
<td align="center">&#x223c;2,000&#xa0;m</td>
<td align="center">&#x223c;2,940&#xa0;m</td>
<td align="center">2,420&#x2013;2,500&#xa0;m</td>
</tr>
<tr>
<td align="center">
<italic>In-situ</italic> Fluid</td>
<td align="center">Oil</td>
<td align="center">Gas</td>
<td align="center">Oil</td>
</tr>
<tr>
<td align="center">Well Completion</td>
<td align="center">Vertical well</td>
<td align="center">Vertical well</td>
<td align="center">Horizontal/18 stages</td>
</tr>
<tr>
<td align="center">CO<sub>2</sub> Injection Scale</td>
<td align="center">290&#x223c;601&#xa0;m<sup>3</sup>
</td>
<td align="center">386&#xa0;m<sup>3</sup>
</td>
<td align="center">3,265&#xa0;m<sup>3</sup>
</td>
</tr>
<tr>
<td align="center">Sand scale</td>
<td align="center">8.4&#x223c;11.2&#xa0;m<sup>3</sup>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">Stimulation Type</td>
<td align="center">Fracturing</td>
<td align="center">Fracturing</td>
<td align="center">Fracturing</td>
</tr>
<tr>
<td align="center">Fluid Component</td>
<td align="center">Pure CO<sub>2</sub>
</td>
<td align="center">Pure CO<sub>2</sub> and gel</td>
<td align="center">Pure CO<sub>2</sub> and gel</td>
</tr>
<tr>
<td align="center">Injecting Rate</td>
<td align="center">3.8&#xa0;m<sup>3</sup>/min</td>
<td align="center">&#x223c;2&#xa0;m<sup>3</sup>/min</td>
<td align="center">&#x223c;4&#xa0;m<sup>3</sup>/min</td>
</tr>
<tr>
<td align="center">Wellhead Pressure</td>
<td align="center">&#x223c;65&#xa0;MPa</td>
<td align="center">&#x223c;20&#xa0;MPa</td>
<td align="center">&#x223c;52&#xa0;MPa</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Approximately &#x223c;300&#xa0;m<sup>3</sup> of CO<sub>2</sub> is injected in each well or stage, with approximately &#x223c;180&#xa0;m<sup>3</sup> of CO<sub>2</sub> injected in each stage of the horizontal well in Case C. The pump rate may be restricted by the high friction encountered along the wellbore when using CO<sub>2</sub>, resulting in a high wellhead pressure of approximately &#x223c;65&#xa0;MPa, as indicated in <xref ref-type="table" rid="T3">Table 3</xref>. The sand ratio in Case A is around 5.6%, which is less than half of the sand ratio typically used in water-based fracturing. The efficiency of CO<sub>2</sub> fracturing in field trials is relatively low due to the limited scale of fracturing (both proppant and CO<sub>2</sub> volumes), low sand ratio, restricted pump rate, and comparatively high injection pressure. This could be one of the main reasons, as well as the high cost of CO<sub>2</sub> additives, why recent tests have opted for a hybrid approach that combines CO<sub>2</sub> injection with water-based fracturing, as illustrated in Cases B and C.</p>
</sec>
<sec id="s4-2">
<title>4.2 Potential of CO<sub>2</sub> fracturing for CCUS</title>
<p>Most of the current CO<sub>2</sub> fracturing field cases are reported along with the development of shale oil in China (<xref ref-type="bibr" rid="B16">Hou et al., 2024a</xref>). The field engineers injected CO<sub>2</sub> as a pre-fracturing process, aiming to create more complex fracture networks. The following injected conventional water-based fluids continuously develop the fracture dimensions and transport the proppant into fractures (<xref ref-type="bibr" rid="B55">Yang et al., 2022</xref>). Therefore, the usage of CO<sub>2</sub> (several hundred scales for each fracturing stage) is significantly smaller than the water-based fluids for the main fracturing operation, as listed in <xref ref-type="table" rid="T3">Table 3</xref>. However, the flowback rate of fracturing injected CO<sub>2</sub> is approximately one order of magnitude lower than other forms of CO<sub>2</sub> storage (as shown in <xref ref-type="fig" rid="F7">Figure 7</xref>), indicating a higher efficiency of permanent CO<sub>2</sub> storage (<xref ref-type="bibr" rid="B33">Louk et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Hou et al., 2024a</xref>). The usage of CO<sub>2</sub> may be improved by increasing its proportion in the total fracturing fluids. A possible approach is using CO<sub>2</sub> to share the proppant injection task, for instance, carrying the fine proppant (100 mesh) (<xref ref-type="bibr" rid="B20">Hou et al., 2017a</xref>; <xref ref-type="bibr" rid="B21">Hou et al., 2017b</xref>). Meanwhile, the developments of the carbon market and carbon capture techniques may reduce the cost of CO<sub>2</sub> sources. The policy incentives are also essential to encourage the operators to promote the usage of CO<sub>2</sub>, for instance, the tax preference applied in the United States (<xref ref-type="bibr" rid="B41">Ren et al., 2022</xref>). The increasing proportion and decreasing cost may significantly promote the potential and contribution of CO<sub>2</sub> fracturing to CCUS, considering the huge consumption of fracturing fluids.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Recovery of CO<sub>2</sub> after injections in <bold>(A)</bold> CO<sub>2</sub> huff-and-puff case and <bold>(B)</bold> CO<sub>2</sub> fracturing case. Reproduced with permission from Ref. <xref ref-type="bibr" rid="B16">Hou et al. (2024a)</xref>, copyright (2024) Elsevier.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g007.tif"/>
</fig>
<p>The other challenge of CO<sub>2</sub> fracturing for CCUS is the mismatch between CO<sub>2</sub> sources and fracturing sites (<xref ref-type="bibr" rid="B38">Munkejord et al., 2016</xref>), for instance, transporting the captured CO<sub>2</sub> from power plants to oil and gas fields. Pipelines may be necessary for the continuous transport of CO<sub>2</sub> for huff-and-puff, EOR or direct storage in relatively fixed sites (<xref ref-type="bibr" rid="B39">Onyebuchi et al., 2018</xref>). Trucks may be essential for fracturing operations to transport CO<sub>2</sub> from one site to another (<xref ref-type="bibr" rid="B8">Gao et al., 2011</xref>). Both pipelines and trucks will increase the investments in construction and equipment, as well as the potential for extra CO<sub>2</sub> emissions. Therefore, CO<sub>2</sub> transport has become a common issue for all kinds of CO<sub>2</sub> storage because of the geographical distance between CO<sub>2</sub> sources and storage sites. For CO<sub>2</sub> fracturing, a hybrid transport system may be a solution to improve the flexibility of CO<sub>2</sub> transport from site to site.</p>
</sec>
<sec id="s4-3">
<title>4.3 Gap between theory and practice</title>
<p>Although fundamental research has highlighted the advantages and feasibility of CO<sub>2</sub> fracturing, field trials have encountered significant challenges, as summarized in <xref ref-type="table" rid="T3">Table 3</xref>. To reveal the disparity between the theory and practice of CO<sub>2</sub> fracturing, we compared key injection parameters recorded during field operations using different fracturing fluids, as presented in <xref ref-type="fig" rid="F8">Figure 8</xref>. Initially, in conventional reservoirs, guar gel (referred to as the first generation of fracturing fluid) was used to create large bi-wing fractures with a high concentration of large proppants. Subsequently, slickwater (with lower viscosity) was employed at a much higher pump rate to carry smaller proppants at lower concentrations, achieving a balance between fracturing efficiency and investment-production ratio (<xref ref-type="bibr" rid="B2">Barati and Liang, 2014</xref>; <xref ref-type="bibr" rid="B61">Zhang et al., 2017b</xref>). CO<sub>2</sub> fracturing, known as the third generation of fracturing fluid, is considered environmentally friendly. Pump rates and injection scales are both reduced for CO<sub>2</sub> fracturing, reflecting its status as a developing technique.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Comparison of hydraulic parameters for field operations among the three generations of fracturing fluid.</p>
</caption>
<graphic xlink:href="fenrg-12-1348375-g008.tif"/>
</fig>
<p>Compared to conventional fluids, the disparity between fundamental research and field application primarily lies in pump rate and operation scale, as depicted in <xref ref-type="fig" rid="F8">Figure 8</xref>. Current efforts to thicken CO<sub>2</sub> may draw inspiration from the success of first-generation fluids, characterized by high viscosity gel. However, the second-generation fluid (represented by low-viscosity slickwater) compensates for the low-viscosity drawback with a high pump rate, which offers valuable insights. Therefore, the utilization of friction reducers becomes another crucial technique for CO<sub>2</sub> fracturing. Correspondingly, the performance of CO<sub>2</sub> thickener (enhanced CO<sub>2</sub> viscosity after the high-pump-rate shear) becomes an essential criterion for the relevant research, which currently is barely reported. Other valuable insights include enhancing fracturing scales through the development of low-cost additives, increasing the proportion of fine proppant, and adopting hybrid approaches that incorporate water-based fluids (inspired by Cases B and C).</p>
<p>The relatively low pump rate may represent one of the most significant gaps between the theory and practice of CO<sub>2</sub> fracturing. Firstly, the proppant usually settles down rapidly in low-viscosity fluids (CO<sub>2</sub> and slickwater). The horizontal transport distance of the proppant before its settlement reduces under a low pump rate condition due to the lower horizontal dragging force (<xref ref-type="bibr" rid="B21">Hou et al., 2017b</xref>; <xref ref-type="bibr" rid="B13">Hou et al., 2019</xref>). This significantly constrains the proppant transport capability of supercritical CO<sub>2</sub>, and then the scale of proppant injection in fields (<xref ref-type="table" rid="T3">Table 3</xref>). Secondly, the high diffusion feature of supercritical CO<sub>2</sub> induces a high leak-off of fluid from fractures into the formation. The low pump rate may weaken the supplementary fluid in fractures, thus constraining the propagation of fracture networks. Meanwhile, the relatively low fracturing scale further deteriorates the development of underground fractures. Correspondingly, the stimulated reservoir volume is restricted for enhancing oil/gas production. Regarding the CO<sub>2</sub> storage concern, the low fracturing scale reduces the usage of CO<sub>2</sub> during fracturing operations. The limited artificial fracture volume will further decrease the inventory capacity of CO<sub>2</sub> storage in unconventional reservoirs, because the artificial fracture may contribute most to the capacity of CO<sub>2</sub> storage (<xref ref-type="bibr" rid="B16">Hou et al., 2024a</xref>; <xref ref-type="bibr" rid="B17">Hou et al., 2024b</xref>). Therefore, the relatively low fracturing scale may represent the other critical gap between the theory and practice of CO<sub>2</sub> fracturing in accordance with the aforementioned rationale.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>
<list list-type="simple">
<list-item>
<p>(1) The primary disparity between theory and practice in CO<sub>2</sub> fracturing lies in pump rate and operation scale.</p>
</list-item>
<list-item>
<p>(2) New research directions for improving both fracture propagation and proppant transport in CO<sub>2</sub> fracturing include the use of friction reducers, addressing flow loss caused by leak-off and distribution in fracture networks, and enhancing the shear viscosity of thickened CO<sub>2</sub>.</p>
</list-item>
<list-item>
<p>(3) Field operations of CO<sub>2</sub> fracturing can be optimized by enhancing scales through the incorporation of low-cost additives, increasing the proportion of fine proppant, and utilizing a hybrid approach that integrates conventional fluids.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Author contributions</title>
<p>LH: Conceptualization, Funding acquisition, Methodology, Writing&#x2013;original draft, Writing&#x2013;review and editing. JL: Writing&#x2013;review and editing. PG: Data curation, Methodology, Writing&#x2013;review and editing. YJ: Conceptualization, Investigation, Writing&#x2013;review and editing. LZ: Data curation, Investigation, Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. This research is funded by the National Natural Science Foundation of China under the grant 42377138.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>Author PG was employed by Shengli Oilfield Service Corporation.</p>
<p>The remaining 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="s9">
<title>Publisher&#x2019;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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