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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1210088</article-id>
<article-id pub-id-type="doi">10.3389/feart.2023.1210088</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Controlling factors on patterns of dissolved organic carbon and volatile fatty acids in a submarine mud volcano offshore southwestern Taiwan</article-title>
<alt-title alt-title-type="left-running-head">Chen 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/feart.2023.1210088">10.3389/feart.2023.1210088</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Nai-Chen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2280957/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Tsanyao Frank</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/87627/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liou</surname>
<given-names>Ya-Hsuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/810570/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Huei-Ting Tina</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2370088/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hong</surname>
<given-names>Wei-Li</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1106099/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Saulwood</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/959883/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Chih-Chieh</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1521668/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Li-Hung</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/69913/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Pei-Ling</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/448903/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Geoscience</institution>, <institution>National Taiwan University</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Geological Sciences</institution>, <institution>Stockholm University</institution>, <addr-line>Stockholm</addr-line>, <country>Sweden</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>NTU Research Center for Future Earth</institution>, <institution>National Taiwan University</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Institute of Oceanography</institution>, <institution>National Taiwan University</institution>, <addr-line>Taipei</addr-line>, <country>Taiwan</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/1157966/overview">Glen T. Snyder</ext-link>, The University of Tokyo, Japan</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/725803/overview">Stephen A. Bowden</ext-link>, University of Aberdeen, United Kingdom</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/711118/overview">Verena Heuer</ext-link>, University of Bremen, Germany</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Nai-Chen Chen, <email>nai-chen.chen@geo.su.se</email>; Pei-Ling Wang, <email>plwang@ntu.edu.tw</email>
</corresp>
<fn fn-type="other" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>Deceased</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1210088</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>04</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Chen, Yang, Liou, Lin, Hong, Lin, Su, Lin and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Chen, Yang, Liou, Lin, Hong, Lin, Su, Lin and Wang</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>Dissolved organic carbon (DOC) and volatile fatty acids (VFAs) play key roles in the carbon cycling of marine sediment. Both microbially or thermally activated cracking of organic matter often produces high quantities of DOC and VFAs. To uncover the distribution pattern of DOC and VFAs in sediments under both impacts, a submarine mud volcano (SMV), was chosen to denote a model system that could witness how microbial activities react under the mixing of seawater and deeply-sourced fluids in a subsurface environment. We examined the concentration profiles of DOC and several VFAs (lactate, formate, acetate, propionate, and butyrate) in pore water, covering both sulfate reduction and methanogenesis zones, and further numerically modeled six porewater species (DOC, bromide, calcium, magnesium, ammonium, and total alkalinity) to quantify their fluxes from depth as well as the rates of <italic>in-situ</italic> microbial processes. Apparently, bulk DOC concentrations fluctuated with depths, probably primarily controlled by <italic>in situ</italic> microbial processes. Lactate was detectable in some samples, while propionate and butyrate were under detection limit. Acetate and formate concentrations were consistently and uniformly low throughout all biogeochemical zones, with a slightly increasing trend with depth at the center of the SMV, suggesting active utilization and turnover by the terminal steps of organic matter mineralization. The numerical modeling suggests that most DOC patterns were primarily influenced by <italic>in-situ</italic> organic matter degradation, while the impact of upward migrating fluid become more significant at center sites. The calculation of the Gibbs energy of metabolic redox reactions reveals that acetoclastic sulfate reduction yields the highest energy throughout sediment columns and may co-exist with methanogenesis below sulfate reduction zone. In contrast, acetoclastic methanogenesis yields higher energy within sulfate reduction zone than below that region, suggesting it is thermodynamically feasible to co-occur with sulfate reduction in dynamic SMV environments.</p>
</abstract>
<kwd-group>
<kwd>dissolved organic carbon</kwd>
<kwd>volatile fatty acids</kwd>
<kwd>submarine mud volcano</kwd>
<kwd>deep fluid</kwd>
<kwd>numerical modeling</kwd>
<kwd>gibbs free energy</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Biogeoscience</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Organic matter stored in marine sediments has been estimated to be up to 7.8 <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 10<sup>7</sup> Gt&#xa0;C (<xref ref-type="bibr" rid="B51">Mackenzie et al., 2004</xref>), constituting the most important organic reservoir involved in the global carbon cycle (<xref ref-type="bibr" rid="B29">Hedges and Keil, 1995</xref>). Despite its sources from terrestrial detritus and marine primary producers, the burial of organic matter beneath the seafloor proceeds with a series of remineralization pathways accompanied by the production and consumption of dissolved organic carbon (DOC) (<xref ref-type="bibr" rid="B6">Arnosti, 2011</xref>; <xref ref-type="bibr" rid="B23">Fenchel et al., 2012</xref>; <xref ref-type="bibr" rid="B45">Komada et al., 2013</xref>). The estimated global budget of marine benthic DOC fluxes is comparable to global riverine DOC (<xref ref-type="bibr" rid="B11">Burdige et al., 1999</xref>), and this benthic export of DOC into the deep ocean would exert profound effects on the marine DOC budget, nutrient cycling and even the structure of food web (<xref ref-type="bibr" rid="B60">Pohlman et al., 2010</xref>; <xref ref-type="bibr" rid="B28">Haas et al., 2011</xref>; <xref ref-type="bibr" rid="B22">Eickenbusch et al., 2019</xref>).</p>
<p>The proximity to terrestrial and nutrient sources renders continental margins the locus of organic matter remineralization. Previous estimates suggest that about 60%&#x2013;80% of total organic carbon (TOC) pool, including DOC and particulate organic carbon (POC), is converted to dissolved inorganic carbon (DIC) and high molecular-weight organic complex through microbial respiration and fermentation (<xref ref-type="bibr" rid="B44">Kandasamy and Nagender Nath, 2016</xref>). Such degradation processes cascade to the stepwise production of low-molecular-weight DOC (such as amino acids and monosaccharides) and further downstream short-chain organic acids and alcohols (such as volatile fatty acids (VFAs) and methanol) (<xref ref-type="bibr" rid="B32">Heuer et al., 2010</xref>; <xref ref-type="bibr" rid="B45">Komada et al., 2013</xref>; <xref ref-type="bibr" rid="B12">Burdige et al., 2016</xref>; <xref ref-type="bibr" rid="B46">Komada et al., 2016</xref>; <xref ref-type="bibr" rid="B79">Zhang et al., 2019</xref>). These energetic intermediate products are ideal electron donors for different terminal electron-accepting processes. Based on the concentration profiles and incubation experiments, acetate has been identified to serve as an important substrate for manganese and iron reduction (<xref ref-type="bibr" rid="B13">Burdige, 1993</xref>; <xref ref-type="bibr" rid="B19">Chuang et al., 2021</xref>), sulfate reduction (<xref ref-type="bibr" rid="B26">Glombitza et al., 2015</xref>), methanogenesis (<xref ref-type="bibr" rid="B75">Wellsbury et al., 1997</xref>; <xref ref-type="bibr" rid="B59">Parkes et al., 2007</xref>; <xref ref-type="bibr" rid="B33">Heuer et al., 2009</xref>; <xref ref-type="bibr" rid="B40">Ijiri et al., 2018</xref>), or denitrification (<xref ref-type="bibr" rid="B67">Thauer et al., 1989</xref>; <xref ref-type="bibr" rid="B5">Amend and Shock, 2001</xref>; <xref ref-type="bibr" rid="B78">Yoon et al., 2013</xref>) in shallow marine sediments. Furthermore, a fraction of VFAs (particularly acetate) could be directly assimilated into biomass (<xref ref-type="bibr" rid="B53">Morono et al., 2011</xref>; <xref ref-type="bibr" rid="B54">Na et al., 2015</xref>), contributing to the pool of particulate organic carbon. The rapid turnover often enables the limited accumulation of these intermediate, energetic substrates in most marine sediments (e.g., micromolar range of acetate in marine porewater; <xref ref-type="bibr" rid="B24">Finke et al., 2007</xref>; <xref ref-type="bibr" rid="B63">S&#xf8;rensen et al., 1981</xref>; <xref ref-type="bibr" rid="B69">Valdemarsen and Kristensen, 2010</xref>). Therefore, although observations regarding the variation in the concentration of these molecules bear great implications for subseafloor microbial processes, their distribution pattern remains rarely explored.</p>
<p>In addition to the input from the water column, thermally or microbially activated cracking of organic matter in subseafloor also leads the production of high quantities of DOC from strata with relatively low TOC content (&#x3c;1&#xa0;wt%; e.g., <xref ref-type="bibr" rid="B59">Parkes et al., 2007</xref>). Typical examples include submarine mud volcanoes (SMVs) and seeps, which represent the seafloor expression of conduits tapping deep fluid reservoirs (<xref ref-type="bibr" rid="B21">Egeberg and Barth, 1998</xref>; <xref ref-type="bibr" rid="B55">Nuzzo et al., 2008</xref>; <xref ref-type="bibr" rid="B39">Hung et al., 2016</xref>; <xref ref-type="bibr" rid="B22">Eickenbusch et al., 2019</xref>). Few studies have demonstrated that the concentrations of specific DOC compounds could range up to millimolar ranges (e.g., <xref ref-type="bibr" rid="B21">Egeberg and Barth, 1998</xref>; <xref ref-type="bibr" rid="B55">Nuzzo et al., 2008</xref>; <xref ref-type="bibr" rid="B60">Pohlman et al., 2010</xref>; <xref ref-type="bibr" rid="B31">Heuer et al., 2020</xref>). Although such high concentrations are confined in a narrow depth range, the strong contrast from background seawater concentrations (few &#x3bc;M or less) could have sustained a high flux exported to the overlying seawater. Recent studies indicated that DOC benthic fluxes from sediments near cold seeps and mud volcanoes in offshore southwestern Taiwan (28&#x2013;1,264&#xa0;&#x3bc;mol m<sup>&#x2212;2</sup> d<sup>&#x2212;1</sup>) are several times higher than most DOC fluxes in coastal and continental margin sediments (<xref ref-type="bibr" rid="B39">Hung et al., 2016</xref>). If the estimates based on observations of near a few mud volcanoes are valid across the basin, the contribution of DOC from mud volcanoes and seeps would constitute a significant proportion of marine DOC pool and affect the biogeochemical network and ecosystem in benthic environments. As the DOC pool represents a mixture of various individual compounds, it remains unclear whether the fluxes of specific substrates are comparable with the bulk DOC pattern.</p>
<p>This study aims to better understand the distribution pattern of DOC and VFAs for sediments in a submarine mud volcano, TY1, offshore southwestern Taiwan. The TY1 mud volcano exports fluids and gases originating from a source depth estimated to be 4&#x2013;6&#xa0;km below the seafloor (kmbsf) to the seawater column (<xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>); thus, it provides ideal materials to address how DOC associated with deep fluids is cycled through various microbial processes at shallow depths. To this aim, bulk DOC and various VFAs (acetate, formate, propionate, butyrate, and lactate) were specifically targeted and discussed together with other aqueous and gas geochemistry data obtained in a previous study (<xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). These results were further integrated into a reactive transport modeling to quantify how microbially dissimilative and assimilative metabolisms affect the patterns of bulk DOC.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Geological settings and sampling sites</title>
<p>Offshore southwestern Taiwan is at the frontal area of the accretionary wedge generated during the subduction&#x2013;collision between the Luzon Arc and the Eurasian passive continental margin (e.g., <xref ref-type="bibr" rid="B66">Teng, 1990</xref>). The boundary separating the passive from active margins is defined by the deformation front, a northward extension of the Manila trench. The active margin is further divided by the out-of-sequence thrust into the Upper and Lower Slope domains (e.g., <xref ref-type="bibr" rid="B48">Lin et al., 2009</xref>; <xref ref-type="bibr" rid="B49">Lin et al., 2014</xref>). Through the seismic reflection profiles and remotely operated vehicle (ROV) survey, a total of 13 submarine mud volcanoes (SMVs) have been identified in the Upper Slope domain of offshore southwestern Taiwan (<xref ref-type="fig" rid="F1">Figure 1A</xref>; <xref ref-type="bibr" rid="B16">Chen et al., 2014a</xref>; <xref ref-type="bibr" rid="B17">Chen et al., 2014b</xref>). Two mud volcanoes fed by one mud diapir constitute the Tsangyao Mud Volcano Group (TYMV; re-named after MV12; <xref ref-type="bibr" rid="B15">Chen et al., 2017</xref>), the largest SMV offshore southwestern Taiwan. One of the mud volcanoes, TY1, has a conical structure and a wide flat top with a diameter of &#x223c;500&#xa0;m at a water depth of &#x223c;370&#xa0;m (<xref ref-type="fig" rid="F1">Figures 1B, C</xref>; <xref ref-type="bibr" rid="B16">Chen et al., 2014a</xref>). Two major gas plumes, one at the west and the other at the south, were detected on the crest by a multibeam echo sounder. These gas plumes reached 367&#xa0;m above the seafloor (<xref ref-type="bibr" rid="B17">Chen et al., 2014b</xref>). TY2 is not as active as TY1; although mud diapiric structure was found under its conical bathymetry in the seismic profile, no venting was detected (<xref ref-type="bibr" rid="B77">Wu, 2016</xref>). A previous study shows that three major lithologic units (mud breccia, moderate mud breccia, and massive units) were recovered in sediment cores collected from TY1 (<xref ref-type="bibr" rid="B34">Hiruta et al., 2017</xref>). 90% of the massive units is fine sand (63&#x2013;212&#xa0;&#x3bc;m), while moderate mud breccia, and mud breccia units are dominated by clay and silt. <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref> has shown that the deep fluid sourced from smectite dehydration has intruded in TY1, and these fluids mix with seawater percolating downward from the seabed, generating great salinity and other geochemical gradients in shallow sediments. The effect of fluid advection is swapped with the diffusive transport as the distance from the center increased (upward fluid velocity is also shown in <xref ref-type="fig" rid="F2">Figure 2</xref>). The expedition on TY1 was conducted in offshore southwestern Taiwan by R/V Ocean Researcher I (Leg 1,118). Piston cores with lengths ranging from 260 to 450&#xa0;cm were recovered along a transect from the center to the margin of the TY1 cone structure (<xref ref-type="fig" rid="F1">Figure 1C</xref>). Sampling sites are listed in <xref ref-type="table" rid="T1">Table 1</xref> and shown in <xref ref-type="fig" rid="F1">Figures 1B, C</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Coring sites and the tectonic structures in onshore and offshore south Taiwan. <bold>(A)</bold> Submarine mud volcanoes are distributed in the upper slope domain, active margin. The light blue line near the shelf edge is out of sequence thrust (OOST), while the dark blue line denotes the Chuchau fault (CF). The green line represents the Chaochou fault (CcF) and the Hengchun fault (HF). The tectonic structures are cited by <xref ref-type="bibr" rid="B48">Lin et al. (2009)</xref>; <xref ref-type="bibr" rid="B49">Lin et al. (2014)</xref>. The right boundary of the upper slope is defined by <xref ref-type="bibr" rid="B48">Lin et al. (2009)</xref>. <bold>(B, C)</bold> &#x201c;modified from <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref>&#x201d; are views of coring sites on TY1 from above and cross-section, respectively. The map was created by the open-source GMT software (<xref ref-type="bibr" rid="B76">Wessel and Smith, 1998</xref>), using the NOAA public database (<xref ref-type="bibr" rid="B3">Amante and Eakins, 2009</xref>).</p>
</caption>
<graphic xlink:href="feart-11-1210088-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Geochemical profiles of western and southern center, lower flank, and margin sites at the submarine mud volcano, TY1. Shaded areas denote SMTZ. Measured data are shown by squares, while the solid and dashed lines represent the best fit between the model simulated profiles and measured data (after <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). The data on methane, sulfate, chloride, Alk, calcium, and magnesium were cited from <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref>.</p>
</caption>
<graphic xlink:href="feart-11-1210088-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Information on sites cored at a submarine mud volcano, TY1, during cruise OR1-1118.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Cruise</th>
<th align="left">Site</th>
<th align="left">Longitude</th>
<th align="left">Latitude</th>
<th align="left">Location</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="left">OR1-1118</td>
<td align="left">A2-2</td>
<td align="left">120<sup>o</sup> 33.48&#x2032;</td>
<td align="left">21<sup>o</sup> 49.63&#x2032;</td>
<td align="left">western center</td>
</tr>
<tr>
<td align="left">24-2</td>
<td align="left">120<sup>o</sup> 33.28&#x2032;</td>
<td align="left">21<sup>o</sup> 49.66&#x2032;</td>
<td align="left">southern center</td>
</tr>
<tr>
<td align="left">F6-3</td>
<td align="left">120<sup>o</sup> 33.34&#x2032;</td>
<td align="left">21<sup>o</sup> 49.24&#x2032;</td>
<td align="left">lower flank</td>
</tr>
<tr>
<td align="left">C-2</td>
<td align="left">120<sup>o</sup> 33.27&#x2032;</td>
<td align="left">21<sup>o</sup> 49.07&#x2032;</td>
<td align="left">margin</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 Sampling and analytical methods</title>
<p>Pore fluid samples for aqueous geochemistry were obtained through centrifugation and subsequently collected through filtration using polypropylene rubber-free syringes and disposable 0.2-&#xb5;m Supor membranes. At least 10&#xa0;mL of the filtrate was split into five fractions first for the analyses of anion, cation, total alkalinity (Alk), water isotopes, and DOC as well as VFAs. Samples for DOC and VFA analyses were kept in pre-combusted 2-mL glass vials with Teflon-coated screw caps and stored at &#x2212;20<sup>o</sup>C until analyses. Prior to sample collection, all glass vials were soaked in 10% HNO<sub>3</sub> for 3&#xa0;days, rinsed with Milli-Q water, and then combusted at 550<sup>o</sup>C for 4&#xa0;h. For cation samples, concentrated nitric acid (70%) was added at a volume ratio of 1:45 to preserve the valence state for elements sensitive to redox change. The data of some major ions, Alk, and water isotopes have been published by <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref>.</p>
<p>The <italic>ex-situ</italic> pH was measured immediately on board while analyzing Alk (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). Total dissolved manganese and iron concentrations were analyzed by an inductively coupled plasma optical emission spectrometry (ICP-OES). Bromide and ammonium were measured by an ion chromatography (IC, 882 Compact IC Plus; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Hu et al., 2017</xref>). The concentrations of DOC were determined by the Shimadzu-TOC-L carbon analyzer (Shimadzu Corp., Kyoto, Japan) equipped with a non-dispersive infrared detector and an auto-sampler. Samples were manually diluted by 10 to 30 folds, acidified with HCl, and purged using a helium stream prior to the injection into the analyzer. Five standards (5, 10, 15, 20, and 30&#xa0;&#x3bc;M) were prepared from the Consensus Reference Material, CRM (purchased from Hansell Lab, Miami, United States), with an uncertainty smaller than 5%. The analyses of VFAs were determined by an Agilent HPLC system, model 1,260 Infinity LC (Agilent Technologies, Santa Clara, CA, United States), equipped with a diode array detector (DAD). An ion exchange column (Agilent Hi-Plex H, 8&#xa0;&#x3bc;m, 300 &#xd7; 7.7&#xa0;mm) coupled to a guard column (PL Hi-Plex H, 50 &#xd7; 7.7&#xa0;mm) was used to separate VFAs (targets including lactate, formate, acetate, propionate, and butyrate) at a flow rate of 0.6&#xa0;mL min<sup>&#x2212;1</sup> of eluent 4.0&#xa0;mM H<sub>2</sub>SO<sub>4</sub> with a column temperature maintained at 65&#xb0;C. Five standards (1, 5, 10, 25, and 50&#xa0;&#x3bc;M) were prepared from 10&#xa0;mM stocks of individual target compounds at a purity of &#x2265;98%. Standard solutions (5 and 10&#xa0;&#x3bc;M) were injected after every five analyses in order to monitor the drift of the retention time and signal intensity. The limit of detection (LOD) is calculated as LOD &#x3d; 3.3&#x3c3;/S (<xref ref-type="bibr" rid="B27">Borman and Elder, 2017</xref>). The &#x3c3; is the standard deviation of the response derived from the calibration curve, and S is estimated from the slope of the calibration curve for the analyte. The LOD of each VFA was lower than 1.5&#xa0;&#x3bc;M.</p>
</sec>
<sec id="s2-3">
<title>2.3 Numerical modeling</title>
<sec id="s2-3-1">
<title>2.3.1 Modeling construction</title>
<p>To further quantify the impacts of deep fluids and heterotrophic processes on geochemical characteristics, a one-dimension reactive transport modeling, described in detail by <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref> and organic matter degradation simulations (<xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>), was applied to generates the porewater concentration-depth profiles of Alk, calcium, magnesium, bromide, ammonium, and DOC. The simulation of VFAs is not included because VFAs are involved in many reactions but lack constraints. Since hydrogen sulfide was not measured, and thus, the modeling result of dissolved inorganic carbon (DIC &#x3d; CO<sub>2</sub> &#x2b; HCO<sub>3</sub>
<sup>&#x2212;</sup> &#x2b; CO<sub>3</sub>
<sup>2&#x2212;</sup>) was assumed to be Alk. The model including transportation (molecular diffusion and fluid advection), bubble irrigation, and microbial reaction terms is as follows:<disp-formula id="e1">
<mml:math id="m2">
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mfrac>
<mml:mo>&#x2202;</mml:mo>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b8;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the concentration of dissolved species (<inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) in porewater, <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is porosity, <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (m yr<sup>-1</sup>) is upward fluid velocity, <italic>t</italic> (yr<sup>-1</sup>) is time, <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (m) is depth, <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (m<sup>2</sup> yr<sup>-1</sup>) is the diffusion coefficient at <italic>in situ</italic> temperatures (10.5<sup>o</sup>C; <xref ref-type="bibr" rid="B80">Boudreau, 1997</xref>; <xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>), <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3b8;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>(</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3c6;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>) is the tortuosity used to correct the diffusion coefficients in porous media (<xref ref-type="bibr" rid="B80">Boudreau, 1997</xref>), <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the term for bubble irrigation (<xref ref-type="bibr" rid="B20">Chuang et al., 2013</xref>), and <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">&#x3a3;</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> defines the sum of reactions occurring in the simulated sediment column. Upward fluid velocities (<inline-formula id="inf11">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with <inline-formula id="inf12">
<mml:math id="m13">
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>) and bubble irrigation parameters (<inline-formula id="inf13">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">exp</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="italic">exp</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2219;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</inline-formula>, where <inline-formula id="inf14">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (mM) is the concentration of target solutes in the bottom water, <inline-formula id="inf15">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (m) is the depth of the bubble irrigation layer, <inline-formula id="inf16">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (yr<sup>-1</sup>) is the intensity of bubble irrigation, and <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (m) is the parameter controlling how expeditiously this irrigation is weakened near the bottom of the irrigation zone) were obtained by fitting the model results to the observed chloride concentration profiles, which is considered to behave conservatively at the depth of sampling (<xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). <inline-formula id="inf18">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a reaction term for porewater species <italic>i</italic>. Details are explained in next section.</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Reactions</title>
<p>The mineralization reactions proceed with the POC degradation for the production of DOC through the following simple pathway:<disp-formula id="e2">
<mml:math id="m20">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where DOC plays as an intermediate product. Without constraints of carbon isotopes (e.g., <xref ref-type="bibr" rid="B45">Komada et al., 2013</xref>; <xref ref-type="bibr" rid="B12">Burdige et al., 2016</xref>), the kinetic rate law for DOC production (or POC degradation) depending on the concentration of dissolved metabolites is simplified and considered here (<xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>):<disp-formula id="e3">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>G</mml:mi>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2219;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the rate of DOC production, which equals to POC degradation; <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>G</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the kinetic constant of organic matter degradation (assumed to be 10<sup>&#x2013;6</sup> yr<sup>&#x2212;1</sup>; <xref ref-type="bibr" rid="B37">Hong et al., 2017</xref>; <xref ref-type="bibr" rid="B52">Middelburg, 1989</xref>; <xref ref-type="bibr" rid="B70">Vanneste et al., 2011</xref>); <inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denotes a Monod kinetic constant; <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is a parameter that converts carbon concentrations in unit of wt% C to mM (<xref ref-type="bibr" rid="B12">Burdige et al., 2016</xref>); <italic>C</italic>
<sub>
<italic>org</italic>
</sub> is the total organic carbon (TOC) content and assumed to be 0.45&#xa0;wt%, considering that TOC varied between 0.3 and 0.5&#xa0;wt% (<xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). Unlike regular marine sediments modeled by <xref ref-type="bibr" rid="B71">Wallmann et al. (2006)</xref>, we assume the POC, originating from deep sediment columns, is relatively refractory in mud volcanoes; thus, <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>G</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is set to be a constant instead of an age-dependent one.</p>
<p>POC degradation coexists with the release of bromide and ammonium and fuels downstream organoclastic sulfate reduction (OSR) as well as methanogenesis (ME) (see <xref ref-type="table" rid="T2">Table 2</xref> for acronyms about all reactions). The reactions involved in the POC degradation (OSR and ME), anaerobic oxidation of methane (AOM), and carbonate precipitation (CP) are listed below:</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>List of acronyms about reactions mentioned in the text.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Acronyms</th>
<th align="left">Complete name</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">OSR</td>
<td align="left">organoclastic sulfate reduction</td>
</tr>
<tr>
<td align="left">ME</td>
<td align="left">methanogenesis</td>
</tr>
<tr>
<td align="left">AOM</td>
<td align="left">anaerobic oxidation of methane</td>
</tr>
<tr>
<td align="left">CP</td>
<td align="left">carbonate precipitation</td>
</tr>
<tr>
<td align="left">H<sub>2</sub>-ME</td>
<td align="left">hydrogenotrophic methanogenesis</td>
</tr>
<tr>
<td align="left">Ac-ME</td>
<td align="left">acetoclastic methanogenesis</td>
</tr>
<tr>
<td align="left">Ac-SR</td>
<td align="left">acetoclastic sulfate reduction</td>
</tr>
<tr>
<td align="left">formate-SR</td>
<td align="left">formate mediated sulfate reduction</td>
</tr>
<tr>
<td align="left">Ac-CR</td>
<td align="left">acetogenic CO<sub>2</sub> reduction</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>OSR:<disp-formula id="e4">
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</p>
<p>ME:<disp-formula id="e5">
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<label>(5)</label>
</disp-formula>
</p>
<p>AOM:<disp-formula id="e6">
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<mml:mrow>
<mml:msub>
<mml:mrow>
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</disp-formula>
</p>
<p>CP:<disp-formula id="e7">
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<mml:mrow>
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<label>(7)</label>
</disp-formula>where <inline-formula id="inf24">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
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</mml:math>
</inline-formula> is the TOC/TN ratio in TY1 sediment (average &#x3d; 5.58; <xref ref-type="bibr" rid="B64">Su et al., 2018</xref>); <inline-formula id="inf25">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mrow>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the Br/POC ratio in sediment offshore southwestern Taiwan (7.6&#xa0;mg-Br/g-TOC; <xref ref-type="bibr" rid="B44">Kandasamy and Nagender Nath, 2018</xref>). More details of other rate laws and parameters can be found in <xref ref-type="sec" rid="s11">Supplementary Material S1</xref>.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Numerical modeling scenarios</title>
<p>In order to observe the variation of <italic>in-situ</italic> processes and deep fluids (advection) under different modeling settings, three cases were considered. In case 1, all reactions were involved, but only diffusion was considered (without advection term). In case 2, diffusion and advection terms were considered (without reaction terms). In case 3, all reactions and transportation terms were considered. The influence of advection could be shown by comparing case 1 and case 3, while the impact of reactions could be revealed by comparing case 2 and case 3. Only cases 1 and 3 were considered at site F6-3 because there was no significant upward fluid flow (<xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). As there was no apparent geochemical variation at site C-2, no simulation was conducted.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Gibbs energy calculations</title>
<p>The Gibbs energy (&#x394;G) of the chemical reaction, governed by the concentration of reactants and products and the temperature and pressure, represents the energy obtained by microorganisms through a specific catabolic pathway. The Gibbs free energy for a suite of metabolic reactions involving acetate, formate, methane, and sulfate (Eqs <xref ref-type="disp-formula" rid="e9">9</xref>&#x2013;<xref ref-type="disp-formula" rid="e13">13</xref>) was calculated by using Eq. <xref ref-type="disp-formula" rid="e8">8</xref> considering that acetate and formate were focused as the representative electron donors because they are present throughout the sediment column and are two of the most common microbial fermentation products.<disp-formula id="e8">
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<mml:mi mathvariant="normal">&#x3a0;</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
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</mml:mfenced>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <inline-formula id="inf26">
<mml:math id="m34">
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (0.008314&#xa0;kJ mol<sup>&#x2212;1</sup>&#xa0;K<sup>&#x2212;1</sup>) is the universal gas constant, <inline-formula id="inf27">
<mml:math id="m35">
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (in K) is the temperature, <inline-formula id="inf28">
<mml:math id="m36">
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> denotes the activities of the reaction participants (reactants and products), and <inline-formula id="inf29">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the stoichiometric coefficient of the <italic>i</italic>th reactant or product. Gibbs energy of hydrogentrophic and acetoclastic methanogenesis (Eqs <xref ref-type="disp-formula" rid="e9">9</xref>, <xref ref-type="disp-formula" rid="e10">10</xref>), sulfate reduction (Eqs <xref ref-type="disp-formula" rid="e11">11</xref>, <xref ref-type="disp-formula" rid="e12">12</xref>), and acetogenic CO<sub>2</sub> reduction (Eq. <xref ref-type="disp-formula" rid="e13">13</xref>) were calculated:</p>
<p>Hydrogenotrophic methanogenesis (H<sub>2</sub>-ME):<disp-formula id="e9">
<mml:math id="m38">
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>Acetoclastic methanogenesis (Ac-ME):<disp-formula id="e10">
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<mml:mn>4</mml:mn>
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<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
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<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>Acetoclastic sulfate reduction (Ac-SR):<disp-formula id="e11">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
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<mml:mn>3</mml:mn>
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<mml:msup>
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<mml:mi>C</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
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<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
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<mml:mo>&#x2192;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>S</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>formate mediated sulfate reduction (formate-SR):<disp-formula id="e12">
<mml:math id="m41">
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>H</mml:mi>
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<mml:mn>4</mml:mn>
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<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
<mml:msup>
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<mml:mo>&#x2192;</mml:mo>
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<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>S</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
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<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
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</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>Acetogenic CO<sub>2</sub> reduction (Ac-CR):<disp-formula id="e13">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mn>2</mml:mn>
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<mml:mi>O</mml:mi>
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<mml:mo>&#x2b;</mml:mo>
<mml:mn>4</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2b;</mml:mo>
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<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mrow>
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<mml:mi>H</mml:mi>
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<mml:mn>3</mml:mn>
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<mml:mrow>
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</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>The activities were computed by multiplying measured concentrations of the species by their activity coefficients. Activity coefficients were calculated from an extended version of the Debye-H&#xfc;ckel Extended equation at an ionic strength of 0.3&#x2013;0.7 (<xref ref-type="bibr" rid="B30">Helgeson, 1969</xref>) and with chloride-derived salinity of 13&#x2013;35 psu. Temperatures in sediments were calculated based on <italic>in situ</italic> bottom water temperature (10.5<sup>o</sup>C) and a temperature gradient of 0.39<sup>o</sup>C/m at TY1 (<xref ref-type="bibr" rid="B77">Wu, 2016</xref>). The <italic>ex-situ</italic> measured pH values ranged from 7.7 to 8.9 (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). The density of porewater and the concentration of hydrogen were assumed to be 1.03&#xa0;g/cm<sup>3</sup> and 2 nM, respectively. The numerical modeling results of methane concentrations were used for methanogenesis (Eqs <xref ref-type="disp-formula" rid="e9">9</xref>, <xref ref-type="disp-formula" rid="e10">10</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). As hydrogen sulfide was not measured, its concentration was assumed to be 1 nM and 1&#xa0;mM in our calculations.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Variation of solutes profiles across TY1 submarine mud volcano</title>
<p>Profiles of solute concentrations for the four sampling sites are shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. Bromide concentrations ranged from 0.2 to 0.8&#xa0;mM and decreased with depth below SMTZ at center sites (A2-2 and 24-2), while they stayed constant at lower flank (F6-3) and margin (C-2) sites. Ammonium concentrations varied between 30 and 600&#xa0;&#x3bc;M. Unlike the trend of bromide, ammonium concentrations increased with depths at sites A2-2 and 24-2. At sites F6-3 and C-2, ammonium concentrations were typically lower than 100&#xa0;&#x3bc;M throughout the core except for values at 72 and 256 cmbsf. Manganese ion concentrations were lower than 10&#xa0;&#x3bc;M and decreased with depth at all sites, while the total dissolved iron concentrations were almost below the detection limit and are not shown in the profiles.</p>
<p>DOC concentration ranged from 100 to 1,200&#xa0;&#x3bc;M. At center sites (A2-2 and 24-2) with the mean value around 400 &#x3bc;M, and generally increased with depth, with some spiked values deviating from the increasing trend. In contrast, the lower flank (F6-3) and margin (C-2) sites were characterized by high concentrations at shallow depths and low concentrations at deeper depths. At the lower flank site (F6-3), the DOC concentration increased at above 130 cmbsf (up to 1,000&#xa0;&#x3bc;M) and decreased to around 250&#xa0;&#x3bc;M&#xa0;at the core bottom; at site C-2, the DOC concentration was almost constant (around 200&#xa0;&#x3bc;M). Of all analyzed VFAs, formate and acetate appear to be the most abundant, with the ratios of acetate to DOC ranging from 2% to 8%, from 4% to 8%, from 2% to 4%, and from 4% to 17% at sites A2-2, 24-2, F6-3, and C-2, respectively (<xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="sec" rid="s11">Supplementary Table S1</xref>). At center sites (A2-2 and 24-2), formate concentrations ranged from 3 to 30&#xa0;&#x3bc;M and were higher than 13&#xa0;&#x3bc;M at above 100 cmbsf and lower than 10&#xa0;&#x3bc;M below that depth. However, formate concentrations were nearly constant (below 6&#xa0;&#x3bc;M) at the lower flank and margin sites (F6-3 and C-2). Acetate concentrations were generally higher than formate and lactate and ranged from 3 to 55&#xa0;&#x3bc;M. At site A2-2, acetate concentrations increased with depth. No noticeable trend except for two peaks at 100 and 250 cmbsf was observed at site 24-2. At site F6-3, acetate concentrations varied between 10 and 20 &#x3bc;M, with a peak value of 40&#xa0;&#x3bc;M observed at 220 cmbsf. At site C-2, acetate concentrations were around 20&#xa0;&#x3bc;M and increased to 30&#xa0;&#x3bc;M at 130 to 200 cmbsf. Propionate and butyrate were below the detection limit for all samples, whereas lactate up to 10&#xa0;&#x3bc;M was sporadically detected for a few samples (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Numerical modeling</title>
<p>The numerical modeling results of three cases are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. For bromide, case 1 (without advection) could not fit well with measured data, while case 2 (without reactions) and case 3 (transport and all reactions) could match. For ammonium at center sites, modeling results in all cases followed the trend of measured data, while the results of case 3 fit the best. For DOC at center sites, modeling results in all cases were lower than measured data above SMTZ at site A2-2 while they followed the trend of measured data at site 24-2. Below SMTZ, case 1 was much higher than measured data, while case 2 could fit well at site 24&#x2013;2 but not site A2-2. Compared to case 1, both case 2 and case 3 were closer to measured data at center sites. For ammonium and DOC at site F6-3, all modeling results were lower than the data above SMTZ. For calcium, neither case 1 nor case 2 could fit measured data; although case 3 was closer to measured data than the other two cases, part of the data above 2.86 mbsf could not be fitted well. For magnesium, only case 1 could not match measured data. For Alk, the result of case 1 was much lower than measured data. Although results of case 2 could fit profiles of bottom and above SMTZ at center sites, the results were still lower than measured data at SMTZ. Only case 3 could fit the Alk profile better. To sum, by considering all reactions and transportations (case 3), the modeling results matched the observations for most ions and molecules.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The modeling results under different scenarios of western and southern center as well as lower flank sites at the submarine mud volcano, TY1. The scenarios include 1) without advection (case 1, gray dashed lines), 2) without reactions (case 2, gray dotted lines), and 3) best fit (case 3, solid lines) of DOC, bromide, ammonium, calcium, magnesium, and Alk. At lower flank site (F6-3), because upward fluid velocity is 0&#xa0;cm&#xa0;yr<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>), there are only case 1 and case 3. Closed circles are measured values, and shaded area denoted the SMTZ at each site.</p>
</caption>
<graphic xlink:href="feart-11-1210088-g003.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Gibbs energies of formate and acetate in sulfate reduction, methanogenesis, and acetogenesis</title>
<p>Gibbs free energies calculated for five microbial processes&#x2014;H<sub>2</sub>-ME, Ac-ME, Ac-SR, formate-SR, and Ac-CR are shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The energy yields of Ac-SR remained at constant above SMTZ at all sites but decreased below SMTZ. The highest yields (most negative &#x394;G values) of Ac-SR were obtained for samples above SMTZ (1.66&#x2013;2.86 mbsf) with &#x394;G values around &#x2212;50 and &#x2212;90&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup> under 1 mM and 1&#xa0;nM of hydrogen sulfide, respectively. The lowest energy yields (less negative &#x394;G values) were found at below SMTZ and around &#x2212;38&#xa0;kJ and &#x2212;70&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup> under 1 mM and 1&#xa0;nM of hydrogen sulfide, respectively. Similar to the energy yields trend of Ac-SR, the energy yields of formate oxidized sulfate reduction (formate-SR) were in the range of &#x2212;15 and &#x2212;30&#xa0;kJ (mol formate)<sup>&#x2212;1</sup> and were higher above SMTZ and slightly decreased as sulfate decreased.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Gibbs free energies calculated for hydrogentrophic methanogenesis (H<sub>2</sub>-ME; opened circles), acetoclastic methanogenesis (Ac-ME; opened triangles), acetoclastic sulfate reduction (Ac-SR; solid and dashed dark gray line), formate oxidized sulfate reduction (formate-SR; solid and dashed light gray line), and acetogenesis (Ac-CR; black filled triangles). Shaded areas denote SMTZ.</p>
</caption>
<graphic xlink:href="feart-11-1210088-g004.tif"/>
</fig>
<p>The &#x394;G values of Ac-ME were around &#x2212;5 to &#x2212;50&#xa0;kJ (mol CH<sub>4</sub>)<sup>&#x2212;1</sup> above the bottom SMTZ and increased rapidly to even positive values (around &#x2b;3 (mol CH<sub>4</sub>)<sup>&#x2212;1</sup>) below the SMTZ at all sites. Like Ac-ME, the &#x394;G values of H<sub>2</sub>-ME were around &#x2212;10 to &#x2212;12&#xa0;kJ (mol CH<sub>4</sub>)<sup>&#x2212;1</sup> above the SMTZ and increased to &#x2212;1.0&#xa0;kJ (mol CH<sub>4</sub>)<sup>&#x2212;1</sup> below the SMTZ at all sites. Below SMTZ, energy yields of methanogenesis decreased with depth due to higher DIC and methane concentrations beneath sulfate reduction zone. By contrast, the energy yields of Ac-CR were constantly low and around &#x2212;10&#xa0;kJ to &#x2212;15&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup>. Its energy yield was similar to H<sub>2</sub>-ME above SMTZ and higher than all methanogenesis below SMTZ.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Impact of external fluid input and microbial degradation on DOC and VFAs patterns</title>
<p>The mud volcano represents the seafloor expression for fracture-channeled fluid flow from subseafloor and impacts the near seafloor sedimentary biogeochemistry. <xref ref-type="bibr" rid="B14">Chen et al. (2020)</xref> observed that chloride-depleted deep fluids rich in thermogenic methane originating from a depth of 3&#x2013;5 kmbsf migrated upward at the crater center of the TY1 mud volcano. Furthermore, based on the evidence that water is more <sup>18</sup>O-enriched and <sup>2</sup>H- at western center site (A2-2), stronger deep fluid influence at western center site was inferred as compared to southern center site (24-2; <xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<p>The fluctuations of the DOC and VFAs concentrations in the sediment porewater are generally influenced by the degrees of POC degradation and external fluid input. In this study, Pearson&#x2019;s correlation is used to address these two factors based on the fact that chloride serves as a conservative tracer to track fluid transport whereas bromide and ammonium are indirectly linked to POC degradation (<xref ref-type="table" rid="T3">Table 3</xref>). Similar to chloride, bromide concentrations at depths shallower than SMTZ at site A2-2 were invariant. At and below SMTZ (2.3 mbsf), bromide was positively correlated with chloride at center sites (r is around &#x2b;1.0). Although bromide has been considered to be released with the degradation of organic matter (e.g., <xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>), the highly positive correlation with chloride suggests that bromide distribution is mainly controlled by a mixture of seawater and bromide-depleted deep fluid. In contrast, for sites F6-3 and C-2 distributed on the lower flank and margin of the TY1, respectively, bromide concentrations were invariant with depths, suggesting a limited impact of advective transport or biological activities. Same as bromide, ammonium and bicarbonate are also considered to be derived from the POC degradation, their concentration profiles suggest the <italic>in-situ</italic> POC degradation and the net accumulation of the reaction products (<xref ref-type="fig" rid="F2">Figure 2</xref>), a pattern typically observed for marine sediments. However, over our studied regions, concentrations of ammonium and Alk generally increased with depth and were negatively correlated with chloride at different degrees, suggesting patterns are potentially influenced by deep fluids.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Correlation with chloride, acetate, and DOC.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Site</th>
<th align="left">Depth interval</th>
<th align="center">Chloride</th>
<th align="center">Bromide</th>
<th align="center">Ammonia</th>
<th align="center">Alk</th>
<th align="center">DOC</th>
<th align="center">Acetate</th>
<th align="center">Formate</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="9" align="left">correlation with chloride</td>
</tr>
<tr>
<td align="left">A2-2</td>
<td align="left">below SMTZ (2.3 mbsf)</td>
<td align="left"/>
<td align="center">1.00</td>
<td align="center">&#x2013; 0.92</td>
<td align="center">&#x2013; 0.87</td>
<td align="center">&#x2013; 0.30</td>
<td align="center">&#x2013; 0.74</td>
<td align="center">&#x2013; 0.53</td>
</tr>
<tr>
<td align="left">24-2</td>
<td align="left">below SMTZ (1.6 mbsf)</td>
<td align="left"/>
<td align="center">0.99</td>
<td align="center">&#x2013; 0.39</td>
<td align="center">&#x2013; 0.96</td>
<td align="center">0.66</td>
<td align="center">0.13</td>
<td align="center">0.59</td>
</tr>
<tr>
<td colspan="9" align="left">correlation with acetate</td>
</tr>
<tr>
<td align="left">A2-2</td>
<td align="left">above SMTZ</td>
<td align="center">&#x2013; 0.29</td>
<td align="center">&#x2013; 0.09</td>
<td align="center">0.51</td>
<td align="center">0.47</td>
<td align="center">0.57</td>
<td align="left"/>
<td align="center">0.53</td>
</tr>
<tr>
<td align="left"/>
<td align="left">below SMTZ</td>
<td align="center">&#x2013; 0.74</td>
<td align="center">&#x2013; 0.73</td>
<td align="center">0.63</td>
<td align="center">0.70</td>
<td align="center">0.80</td>
<td align="left"/>
<td align="center">0.66</td>
</tr>
<tr>
<td align="left">24-2</td>
<td align="left">above SMTZ</td>
<td align="center">&#x2013; 0.15</td>
<td align="center">&#x2013; 0.05</td>
<td align="center">0.28</td>
<td align="center">0.19</td>
<td align="center">0.12</td>
<td align="left"/>
<td align="center">0.08</td>
</tr>
<tr>
<td align="left"/>
<td align="left">below SMTZ</td>
<td align="center">0.13</td>
<td align="center">0.09</td>
<td align="center">0.68</td>
<td align="center">&#x2013; 0.02</td>
<td align="center">0.89</td>
<td align="left"/>
<td align="center">0.80</td>
</tr>
<tr>
<td align="left">F6-3</td>
<td align="left">at all depth</td>
<td align="center">&#x2013; 0.41</td>
<td align="center">&#x2013; 0.12</td>
<td align="center">&#x2013; 0.07</td>
<td align="center">0.49</td>
<td align="center">&#x2013; 0.12</td>
<td align="left"/>
<td align="center">0.02</td>
</tr>
<tr>
<td align="left">C-2</td>
<td align="left">at all depth</td>
<td align="center">&#x2013; 0.17</td>
<td align="center">&#x2013; 0.30</td>
<td align="center">&#x2013; 0.04</td>
<td align="center">0.61</td>
<td align="center">&#x2013; 0.47</td>
<td align="left"/>
<td align="center">0.68</td>
</tr>
<tr>
<td colspan="9" align="left">correlation with DOC</td>
</tr>
<tr>
<td align="left">A2-2</td>
<td align="left">above SMTZ</td>
<td align="center">&#x2013; 0.44</td>
<td align="center">&#x2013; 0.19</td>
<td align="center">0.55</td>
<td align="center">0.71</td>
<td align="left"/>
<td align="center">0.57</td>
<td align="center">0.33</td>
</tr>
<tr>
<td align="left"/>
<td align="left">below SMTZ</td>
<td align="center">&#x2013; 0.30</td>
<td align="center">&#x2013; 0.29</td>
<td align="center">0.17</td>
<td align="center">0.37</td>
<td align="left"/>
<td align="center">0.80</td>
<td align="center">0.61</td>
</tr>
<tr>
<td align="left">24-2</td>
<td align="left">above SMTZ</td>
<td align="center">&#x2013; 0.18</td>
<td align="center">&#x2013; 0.24</td>
<td align="center">0.52</td>
<td align="center">0.64</td>
<td align="left"/>
<td align="center">0.12</td>
<td align="center">&#x2013; 0.38</td>
</tr>
<tr>
<td align="left"/>
<td align="left">below SMTZ</td>
<td align="center">0.66</td>
<td align="center">0.59</td>
<td align="center">0.69</td>
<td align="center">&#x2013; 0.69</td>
<td align="left"/>
<td align="center">0.92</td>
<td align="center">0.94</td>
</tr>
<tr>
<td align="left">F6-3</td>
<td align="left">at all depth</td>
<td align="center">0.35</td>
<td align="center">0.19</td>
<td align="center">0.61</td>
<td align="center">&#x2013; 0.23</td>
<td align="left"/>
<td align="center">&#x2013; 0.12</td>
<td align="center">0.61</td>
</tr>
<tr>
<td align="left">C-2</td>
<td align="left">at all depth</td>
<td align="center">0.31</td>
<td align="center">0.74</td>
<td align="center">0.77</td>
<td align="center">&#x2013; 0.26</td>
<td align="left"/>
<td align="center">&#x2013; 0.47</td>
<td align="center">&#x2013; 0.48</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The correlation between chloride and DOC/VFAs also varied site by site while the DOC concentrations were positively correlated with the ammonium concentrations at most depth intervals and sites (r &#x3e; 0.5; except for below SMTZ at site A2-2; <xref ref-type="table" rid="T3">Table 3</xref>), implying the potential influence of <italic>in-situ</italic> processes. Besides, the patterns of DOC and VFAs indeed varied considerably from site to site. At center sites (A2-2 and 24-2), DOC concentrations generally increased with depth with some spiked values deviating from the increasing trend. For comparison, the lower flank and margin sites (F6-3 and C-2) were generally characterized by high DOC concentrations at shallow depths and low concentrations at depth, suggesting DOC sourced from deep fluids is not significant.</p>
<p>Of all investigated VFAs, acetate and formate appear to be more abundant and prevalent in all cores. Although their concentrations ranged up to around 60 &#x3bc;M, they either fluctuated greatly or remained at a low level along depth. Acetate concentrations were positively correlated with ammonium and DOC at center sites while they were high in the low chloride zone (i.e., negatively correlated with chloride) below SMTZ at site A2-2, suggesting acetate sourced from deep fluid (probably from thermal degradation) and produced via microbial processes at subsurface at site A2-2 where the strongest advective flow was observed. No significant correlation between acetate and ammonium or DOC was observed for the lower flank sites (&#x7c;r&#x7c; &#x3c; 0.2). Formate was correlated better with DOC than acetate. All these lines of evidence suggest that acetate and formate metabolisms were linked with organic degradation, and that formate is perhaps more labile than acetate and rapidly turned over between different metabolisms. Acetate and formate are both competitive substrates for terminal electron-accepting processes (e.g., <xref ref-type="bibr" rid="B36">Hoehler et al., 1998</xref>). Culture tests have shown that metal reduction, sulfate reduction, and methanogenesis compete for these two potential substrates and hydrogen gas for metabolic energy (e.g., <xref ref-type="bibr" rid="B57">Oremland and Polcin, 1982</xref>). Because they are primarily produced from the fermentation of complex organic matter, their abundances in natural environments are regulated at a certain low level to fulfill the efficient energy transfer between producing and consuming metabolisms (<xref ref-type="bibr" rid="B56">Orcutt et al., 2013</xref>; <xref ref-type="bibr" rid="B26">Glombitza et al., 2015</xref>; <xref ref-type="bibr" rid="B7">Beulig et al., 2018</xref>). Exceptions occur particularly for petroleum or natural gas reservoirs where acetate and formate are produced by thermo-cracking, adding to those produced from biodegradation could amount up to a scale of mM (<xref ref-type="bibr" rid="B21">Egeberg and Barth, 1998</xref>). The scenario is complicated by the fact that acetate could be also produced by acetogenesis from hydrogen and a fraction of these two VFAs could be assimilated into cell biomass through acetyl-CoA or formate dehydrogenase (<xref ref-type="bibr" rid="B41">Jansen et al., 1984</xref>; <xref ref-type="bibr" rid="B65">Teece et al., 1999</xref>). The complex reaction network and the contribution of individual pathways or community members in SMV environments remain largely unraveled. Collectively, our correlation coefficients suggest that the VFAs and DOC in the porewater of our study sites were mostly related to the <italic>in-situ</italic> POC degradation and cycling, but their increase could be also contributed by the chloride-depleted deep fluid, which may carry thermal degradation VFAs and DOC, at the sites centered around TY1 mud volcano.</p>
</sec>
<sec id="s4-2">
<title>4.2 Numerical modeling evaluation</title>
<sec id="s4-2-1">
<title>4.2.1 Quantifying microbial POC degradation rates and deep fluid inputs</title>
<p>The numerical modeling is constructed to quantify the effect of <italic>in-situ</italic> POC degradation and deep fluids on the pattern of bulk DOC. Our modeling results show that the model of case 3 can fit the measured data better than that of the other two cases (<xref ref-type="fig" rid="F3">Figure 3</xref>). Further integration of rate over depth demonstrated that the whole depth-integrated rates of DOC accumulation were 17&#x2013;47.6&#xa0;mmol&#xa0;C m<sup>&#x2212;2</sup>&#xa0;yr<sup>&#x2212;1</sup> at center sites. This range is ten times higher than DOC flux from depth (4&#x2013;5&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>), suggesting that <italic>in-situ</italic> microbial processes dominated over fluid transport in DOC cycling and that the <italic>in-situ</italic> POC degradation is vital to supply DOC for terminal electron accepting processes. However, the DOC flux of deep fluids become relatively significant with depth. Its influence can be revealed by comparing the model results for the above and below the SMTZ (<xref ref-type="table" rid="T4">Table 4</xref>). The DOC accumulation rate below SMTZ (deducting the total DOC consumption of OSR and ME) is close to 10&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup> while DOC flux from depth is around 4&#xa0;mmol C m<sup>&#x2212;2</sup>&#xa0;yr<sup>&#x2212;1</sup>&#xa0;at site A2-2, and those two are almost the same below SMTZ at site 24-2 (around 4.8&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>), suggesting impact of deep fluids could not be ignored, especially below SMTZ. Additionally, the case 2 modeling derived profiles (without reactions) at center sites fit better to the DOC measured data when compared to case 1 (without advection; <xref ref-type="fig" rid="F3">Figure 3</xref>), suggesting deep fluids that may carry thermally degraded DOC potentially controls the profiles. Although depth-integrated rates suggest lower impact of <italic>in-situ</italic> POC degradation at site F6-3 (<xref ref-type="table" rid="T4">Table 4</xref>), all of our modeling results could not fit DOC profile well at site F6-3 and, therefore, underestimate the influence from <italic>in-situ</italic> processes (<xref ref-type="fig" rid="F2">Figure 2</xref>). Similar to DOC, the patterns of ammonium are mainly controlled by <italic>in-situ</italic> processes, but the influence of deep fluids are obvious at center sites (<xref ref-type="table" rid="T4">Table 4</xref>). The ammonium production rate above SMTZ is higher than flux from depth, while its production below SMTZ is lower than deep flux, suggesting that deep fluids primarily control the ammonium patterns below SMTZ.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Microbial activity and DOC flux derived from reactive transport simulations. Depth-integrated consumption and production rates of DOC, bromide, and ammonium. The unit of rates and fluxes is mmol C&#xa0;m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>, but for rates and fluxes associated with ammonium and bromide, the units are mmol N&#xa0;m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup> and mmol Br m<sup>&#x2212;2</sup>&#xa0;yr<sup>&#x2212;1</sup>, respectively.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Site A2-2</th>
<th align="center">Site 24-2</th>
<th align="center">Site F6-3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Depth-integrated rate</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Above SMTZ</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;DOC consumption</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;&#xa0;&#xa0;OSR</td>
<td align="center">29.4</td>
<td align="center">12.0</td>
<td align="center">0.9</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;&#xa0;&#xa0;ME</td>
<td align="center">0.6</td>
<td align="center">0.3</td>
<td align="center">0.0</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;DOC production</td>
<td align="center">67.1</td>
<td align="center">24.6</td>
<td align="center">1.9<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;Ammonium production</td>
<td align="center">12.0</td>
<td align="center">4.4</td>
<td align="center">0.1</td>
</tr>
<tr>
<td align="left">Below SMTZ</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;DOC consumption</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;&#xa0;&#xa0;OSR</td>
<td align="center">3.7</td>
<td align="center">1.1</td>
<td align="center">0.1</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;&#xa0;&#xa0;ME</td>
<td align="center">6.7</td>
<td align="center">3.7</td>
<td align="center">0.1</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;DOC production</td>
<td align="center">20.9</td>
<td align="center">9.6</td>
<td align="center">0.4</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;Ammonium production</td>
<td align="center">3.8</td>
<td align="center">1.7</td>
<td align="center">0.3</td>
</tr>
<tr>
<td align="left">Bromide production</td>
<td align="center">0.7</td>
<td align="center">0.3</td>
<td align="center">0.0</td>
</tr>
<tr>
<td align="left">Flux from depth</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;DOC</td>
<td align="center">4.3</td>
<td align="center">4.7</td>
<td align="center">&#x2212;0.6<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;Bromide</td>
<td align="center">3.2</td>
<td align="center">4.2</td>
<td align="center">&#x2212;0.1<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">&#xa0;&#xa0;Ammonium</td>
<td align="center">4.3</td>
<td align="center">4.4</td>
<td align="center">&#x2212;0.9<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">Benthic DOC flux</td>
<td align="center">1.8</td>
<td align="center">0.5</td>
<td align="center">&#x2212;0.0<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>The DOC, production rate could be under estimated because the simulation result could not fit the profile of DOC, at the interval of 10&#x2013;100 cmbsf (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>The minus symbol indicates the downward direction.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The small discrepancies between the modeled and measured DOC profiles could be further exploited to discuss the quality of organic matter in the sediment and the porewater at site F6-3. Because of low POC content (0.5&#xa0;wt%; <xref ref-type="bibr" rid="B64">Su et al., 2018</xref>), a kinetic constant of POC degradation was assumed to be resemble that for recalcitrant POC (10<sup>&#x2013;6</sup> yr<sup>&#x2212;1</sup>; <xref ref-type="bibr" rid="B52">Middelburg, 1989</xref>), making it difficult to fit the real data above SMTZ well. In addition, profiles of modeled major ions are partly controlled by bubble irrigation above SMTZ (<xref ref-type="bibr" rid="B20">Chuang et al., 2013</xref>; see modeling construction in <xref ref-type="sec" rid="s11">Supplementary Material S1</xref>), which may enhance the seawater dilution process. And thus, the deviation of the modeled DOC above SMTZ likely suggests a more labile POC/DOC pool with higher reactivity than we expected.</p>
<p>DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios could provide additional insights of POC and DOC degradation. According to rate laws of POC degradation and ammonium production in <xref ref-type="bibr" rid="B71">Wallmann et al. (2006)</xref>, the degradative products exempted from further exploitation postdating formation would share DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios similar to the source characteristics (<inline-formula id="inf30">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). If DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios are lower than <inline-formula id="inf31">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and without influence of deep fluids, then microbial consumption of DOC could be more obvious by considering abiotic or microbial ammonium consumption (<xref ref-type="bibr" rid="B61">Schrum et al., 2009</xref>; <xref ref-type="bibr" rid="B2">Alshameri et al., 2018</xref>). To examine additional DOC degradation, measured DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios and those derived from modeling results based on three cases and <inline-formula id="inf32">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> ratio are plotted for comparison (<xref ref-type="fig" rid="F5">Figure 5</xref>). At the margin site C-2 (no external deep fluid input), the porewater DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios were lower than the <inline-formula id="inf33">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> ratio (value of 5.58), suggesting DOC consumption. Although the decline profile of manganese (by dropping only 3&#xa0;&#x3bc;M) could indicate POC degradation at site C-2, the contribution of manganese reduction to POC degradation should be low for the invariant sulfate profile (<xref ref-type="fig" rid="F2">Figure 2</xref>). Unlike site C-2, measured DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios at site F6-3 (fluid velocity &#x3d; 0&#xa0;cm&#xa0;yr<sup>&#x2212;1</sup>) are higher than the <inline-formula id="inf34">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> ratios and the DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios derived from modeling results of case 3 (<xref ref-type="fig" rid="F5">Figure 5</xref>), suggesting higher DOC accumulation or higher ammonium adsorption. The latter mechanism could be likely discarded considering that the modeling ratios are still insufficient to match the observed ones even assuming a much higher percentage of ammonium removal (20%) by adsorption than used in previous studies (e.g., <xref ref-type="bibr" rid="B8">Boatman and Murray, 1982</xref>; <xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>). The DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios derived from modeling at site 24-2 above the bottom of SMTZ also exceeded the observed ratios. Such a difference suggests an additional DOC degradation which was not considered in our modeling. However, DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratio may not be used alone to further infer additional POC/DOC degradation in areas where the influence of deep fluids is relatively pronounced and accounts for the production of both species. For example, the ratios of measured data and modeling results are similar at site A2-2 and the zone below SMTZ of site 24-2 where influence of deep fluid is significant (<xref ref-type="fig" rid="F5">Figure 5</xref>; <xref ref-type="table" rid="T4">Table 4</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Profiles of DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios for all sites. In general, this ratio is relatively high above the SMTZ and decreases below the SMTZ. DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios derived from modeling results of case 3 (curved lines) are also plotted for comparison. Profiles are relatively invariant at site C-2 (<xref ref-type="fig" rid="F2">Figure 2</xref>), indicating low microbial rates and potentially sharing DOC/NH<sub>4</sub>
<sup>&#x2b;</sup> ratios similar to the source characteristics, and thus, <inline-formula id="inf35">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> ratio in our study area is plotted for comparison (black solid line; <xref ref-type="bibr" rid="B64">Su et al., 2018</xref>). Shaded areas denote SMTZ.</p>
</caption>
<graphic xlink:href="feart-11-1210088-g005.tif"/>
</fig>
<p>Bromide production could be attributed to POC degradation (<xref ref-type="bibr" rid="B9">Borowski, 2004</xref>; <xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>; <xref ref-type="bibr" rid="B74">Wei et al., 2008</xref>); however, comparisons between cases 2 and 3 suggest that bromide is mainly controlled by advection (<xref ref-type="fig" rid="F3">Figure 3</xref>). Although the molar Br/C ratio used in our model (Br/TOC&#x3d;7.6 <inline-formula id="inf36">
<mml:math id="m49">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 10<sup>&#x2013;3</sup>; <xref ref-type="bibr" rid="B43">Kandasamy et al., 2018</xref>) is not only the highest value in offshore southwestern Taiwan but also higher than the organic-rich area (Br/TOC&#x3d;2&#x2013;7 <inline-formula id="inf37">
<mml:math id="m50">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 10<sup>&#x2013;3</sup>; Sea of Okhotsk; <xref ref-type="bibr" rid="B71">Wallmann et al., 2006</xref>), the depth-integrated bromide production rate (0.3&#x2013;0.7&#xa0;mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>) is still lower than the bromide flux from depth (2.7&#x2013;4.3&#xa0;mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>; <xref ref-type="table" rid="T4">Table 4</xref>), suggesting that bromide in porewater was primarily influenced by deep fluids, a pattern consistent with high correlations of bromide and chloride.</p>
<p>DIC could be either produced by POC degradation, AOM, or consumed by carbonate precipitation which is also influenced by the transport of divalent ions (Eqs <xref ref-type="disp-formula" rid="e4">4</xref>&#x2013;<xref ref-type="disp-formula" rid="e7">7</xref>). The modeling indicated that the deep DIC fluxes at center sites (ca. 350&#xa0;C mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>; <xref ref-type="sec" rid="s11">Supplementary Table S2</xref>) are higher than the consumption rate of calcium and magnesium due to carbonate precipitation (5.0&#x2013;9.0&#xa0;C mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>) and POC degradation (17&#x2013;40&#xa0;C mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>) regardless of AOM production (700&#x2013;850&#xa0;C mmol m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>) at SMTZ (<xref ref-type="sec" rid="s11">Supplementary Table S2</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>). The results suggest the dominance of fluid processes, such as advection and diffusion, over others in controlling the profiles of Alk, calcium and magnesium. Overall, the degradation of POC to produce metabolites and the advection of deep fluids explain most of the observations.</p>
</sec>
<sec id="s4-2-2">
<title>4.2.2 Benthic DOC flux at TY1</title>
<p>The venting of SMV transport not only thermogenic methane but also DOC into the ocean (<xref ref-type="bibr" rid="B39">Hung et al., 2016</xref>; <xref ref-type="bibr" rid="B10">Brogi et al., 2019</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B4">Amaral et al., 2021</xref>). Our simulations shows that the benthic DOC flux is in the range of 0.04&#x2013;3.33&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup> (<xref ref-type="table" rid="T4">Table 4</xref>), which is much lower than that in the previous study (57&#x2013;90&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>; <xref ref-type="bibr" rid="B39">Hung et al., 2016</xref>). However, as we mentioned before, bubble irrigation is applied in our modeling construction, which could also act as a DOC sink because it dilutes sediment porewater DOC concentrations with low DOC seawater; namely, accumulated DOC has been transported to seawater through bubble irrigation. Under this scenario, the total accumulation of DOC in porewater transported to seawater is around 47.6&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup> (by deducting consumption of OSR and ME from DOC production; <xref ref-type="table" rid="T4">Table 4</xref>), which is close to the previous study.</p>
</sec>
</sec>
<sec id="s4-3">
<title>4.3 Energy limitation</title>
<p>The depth-integrated total DOC production rate is in the range of 34&#x2013;88&#xa0;mmol m<sup>-2</sup> yr<sup>-1</sup> with approximate half of the flux attributed to the consumption mediated by OSR and ME. The simulation results indicate that OSR is dominated above SMTZ while ME is the major process consuming DOC below SMTZ at center sites (<xref ref-type="table" rid="T4">Table 4</xref>). Although OSR is limited below SMTZ, the simulation results still suggest that OSR may occur in this zone (<xref ref-type="table" rid="T4">Table 4</xref>). This interpretation could be supported by the calculation of Gibbs free energy at center sites (<xref ref-type="fig" rid="F4">Figure 4</xref>), which shows the energy yields of Ac-SR (at 1&#xa0;mM sulfide) are in the range of &#x2212;35 to &#x2212;40&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup> below SMTZ. The energetic requirement of sulfate reduction was suggested to be between &#x2212;33.1 and &#x2212;42.8&#xa0;kJ mol<sup>&#x2212;1</sup> in the culture experiments with <italic>Desulfobacter hydrogenophilus</italic> (DSM3380) consuming acetate and sulfate (<xref ref-type="bibr" rid="B42">Jin and Bethke, 2009</xref>). By using incubation experiments with <sup>35</sup>S-labeled sulfate, <xref ref-type="bibr" rid="B26">Glombitza et al. (2015)</xref> suggests that the minimum energy requirement of Ac-SR could be around &#x2212;30&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup> (or (mol sulfate) <sup>&#x2212;1</sup>). Based on assumptions of energy cost of ATP from ADP, <xref ref-type="bibr" rid="B25">Glombitza et al., 2019</xref> suggest that &#x2212;20&#xa0;kJ (mol acetate)<sup>&#x2212;1</sup> should be sufficient for sulfate reduction. While the co-existence of sulfate reducers and methanogens below SMTZ has been found in several areas (<xref ref-type="bibr" rid="B47">Leloup et al., 2007</xref>; <xref ref-type="bibr" rid="B68">Treude et al., 2014</xref>; <xref ref-type="bibr" rid="B58">Orsi et al., 2016</xref>; <xref ref-type="bibr" rid="B19">Chuang et al., 2021</xref>), and sulfate reducers are present below SMTZ in a terrestrial mud volcano (<xref ref-type="bibr" rid="B18">Cheng et al., 2012</xref>), we infer that Ac-SR might proceed at the energetic limit in the sediment below SMTZ at center sites.</p>
<p>The simulation results also suggest that ME may occur above SMTZ (<xref ref-type="table" rid="T4">Table 4</xref>). &#x394;G of Ac-ME at above SMTZ is in the range of &#x2212;35 to &#x2212;50&#xa0;kJ (mol CH<sub>4</sub>) <sup>&#x2212;1</sup>. This range is higher than that of H<sub>2</sub>-ME and suggest that Ac-ME could co-exist with sulfate reduction. Co-occurrence of Ac-SR and Ac-ME has been observed at ODP site 1,226 (<xref ref-type="bibr" rid="B73">Wang et al., 2008</xref>). Their modeling derived reaction rates and thermodynamic calculations (&#x394;G) of Ac-SR and Ac-ME suggest that these processes can co-occur because both &#x394;G are exergonic throughout sediment core column and are close to the values in culturing experiments (<xref ref-type="bibr" rid="B73">Wang et al., 2008</xref>; <xref ref-type="bibr" rid="B72">Wang et al., 2010</xref>; <xref ref-type="bibr" rid="B62">Sela-Adler et al., 2017</xref>). Furthermore, <xref ref-type="bibr" rid="B18">Cheng et al. (2012)</xref> has shown the existence of Ac-ME above SMTZ from incubation results of mud volcano sediments. Although the potential energy limitation of H<sub>2</sub>-ME was found to be at an even lower energy yield of &#x2212;10&#xa0;kJ (mol CH<sub>4</sub>)<sup>&#x2212;1</sup> (<xref ref-type="bibr" rid="B35">Hoehler et al., 2001</xref>), which is similar to what we derived at above SMTZ (&#x394;G &#x3d; &#x2212;10 to &#x2212;12&#xa0;kJ (mol CH<sub>4</sub>) <sup>&#x2212;1</sup>; <xref ref-type="fig" rid="F4">Figure 4</xref>), H<sub>2</sub>-ME would be easily inhibited by sulfate-reducing bacteria because of competition for hydrogen (e.g., <xref ref-type="bibr" rid="B1">Abram and Nedwell, 1978</xref>), suggesting that H<sub>2</sub>-ME is less likely to occur at above SMTZ. Our thermodynamic calculations show Ac-ME below SMTZ is endergonic (&#x394;G &#x3e; 0&#xa0;kJ) while H<sub>2</sub>-ME is around &#x2212;2&#xa0;kJ (mol CH<sub>4</sub>) <sup>&#x2212;1</sup>, which is more positive than the potential limit of ME. This could be because of high methane concentration below SMTZ (at center sites: 96 mM; at lower flank site: 40 mM; <xref ref-type="bibr" rid="B14">Chen et al., 2020</xref>), which could strongly shift the equilibrium towards the reactant side, making ME, especially Ac-ME, energetically unfavorable.</p>
<p>Previous studies have shown that the existence of Ac-CR in subsurface sediment by incubation and carbon isotopes approaches (<xref ref-type="bibr" rid="B50">Liu and Suflita, 1993</xref>; <xref ref-type="bibr" rid="B33">Heuer et al., 2009</xref>). In our study, Ac-CR is exergonic throughout sediment column and even higher than methanogenesis below SMTZ (<xref ref-type="fig" rid="F4">Figure 4</xref>). Although the correlation between acetate and chloride is higher below SMTZ (<xref ref-type="table" rid="T3">Table 3</xref>), suggesting an obvious input from deep fluids, the depth-integrated rate of DOC production below SMTZ (after deducting consumption from OSR and ME) is comparable to the DOC flux from depth especially at center sites (<xref ref-type="fig" rid="F2">Figure 2</xref>; <xref ref-type="table" rid="T4">Table 4</xref>), suggesting that higher acetate is resulted from both deep fluids and Ac-CR.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>The <italic>in-situ</italic> processes and intrusion of deep fluids that may transport thermally activated cracking of VFAs and DOC around the mud volcano affect the geochemical conditions of the deep subsurface. Correlation between different controlling factors reveals that <italic>in-situ</italic> POC degradation is the main controlling mechanism for DOC, acetate, and formate patterns. At sites centered around the mud volcano, the effect of deep fluids on DOC and acetate concentrations becomes more significant, which is also the case for ammonium, bromine and Alk distributions. Numerical modeling for six key metabolic reactive parameters (DOC, bromide, calcium, magnesium, ammonium, and Alk) in the porewater further shows that these dissolved materials are controlled by deep fluids. Although the DOC and ammonium produced by <italic>in-situ</italic> POC degradation is dominant, the contribution from deep fluids becomes more significant with depth, especially below the SMTZ at center sites. The benthic DOC flux resulting from bubble irrigation and deep fluids is around 48&#xa0;mmol C m<sup>&#x2212;2</sup> yr<sup>&#x2212;1</sup>, which was much greater than typical diffusional DOC flux into the deep ocean. Both the modeling results and the calculations of the Gibbs free energy of metabolic redox reactions suggest that acetoclastic sulfate reduction yields the highest energy and may co-exist with methanogenesis below the SMTZ. Acetoclastic methanogenesis yields higher energy and can co-occur with sulfate reduction above the SMTZ; indeed, the observed elevations in acetate concentration could be a result of input from both deep fluids and acetogenesis. Our research quantified the impacts between microbial mediated reactions and the active transport by deep fluids, demonstrating how modeling and observations can work together to unravel an extremely dynamic subsurface environment.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>N-CC, TY, P-LW, H-TL, and L-HL initiated the study and designed sampling and analyses. N-CC and SL collected samples. N-CC, P-LW, Y-HL, H-TL, and C-CS conducted analyses. N-CC, W-LH, P-LW, and L-HL conducted numerical modeling. N-CC, P-LW, L-HL, and H-TL wrote the paper. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This study is supported by the Taiwanese National Science and Technology Council, Ministry of Education as well as Stockholm University.</p>
</sec>
<ack>
<p>We would like to thank the captain and crew of the R/V Ocean Research Vessels I, and all assistants and students on board for their help in sample collections, especially Y-J. Chen, H-W. Chen, T-H. Yang, and Y-H. Chang. Y-J. Chen and H-W. Chen are specially acknowledged for invaluable technical and analytical support. We are also grateful to the suggestions for the structure and distribution of SMVs by Dr. S-C. Chen.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<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>
<sec id="s11">
<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/feart.2023.1210088/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2023.1210088/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Abram</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Nedwell</surname>
<given-names>D. B.</given-names>
</name>
</person-group> (<year>1978</year>). <article-title>Inhibition of methanogenesis by sulphate reducing bacteria competing for transferred hydrogen</article-title>. <source>Archives Microbiol.</source> <volume>117</volume>, <fpage>89</fpage>&#x2013;<lpage>92</lpage>. <pub-id pub-id-type="doi">10.1007/bf00689356</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alshameri</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Xi</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Adsorption of ammonium by different natural clay minerals: Characterization, kinetics and adsorption isotherms</article-title>. <source>Appl. Clay Sci.</source> <volume>159</volume>, <fpage>83</fpage>&#x2013;<lpage>93</lpage>. <pub-id pub-id-type="doi">10.1016/j.clay.2017.11.007</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Amante</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Eakins</surname>
<given-names>B. W.</given-names>
</name>
</person-group> (<year>2009</year>). <source>ETOPO1 arc-minute global relief model: Procedures, data sources and analysis</source>.</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Amaral</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Romera-Castillo</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Forja</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Submarine mud volcanoes as a source of chromophoric dissolved organic matter to the deep waters of the Gulf of C&#xe1;diz</article-title>. <source>Sci. Rep.</source> <volume>11</volume> (<issue>1</issue>), <fpage>3200</fpage>&#x2013;<lpage>3212</lpage>. <pub-id pub-id-type="doi">10.1038/s41598-021-82632-3</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Amend</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Shock</surname>
<given-names>E. L.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Energetics of overall metabolic reactions of thermophilic and hyperthermophilic Archaea and Bacteria</article-title>. <source>FEMS Microbiol. Rev.</source> <volume>25</volume> (<issue>2</issue>), <fpage>175</fpage>&#x2013;<lpage>243</lpage>. <pub-id pub-id-type="doi">10.1111/j.1574-6976.2001.tb00576.x</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Arnosti</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Microbial extracellular enzymes and the marine carbon cycle</article-title>. <source>Annu. Rev. Mar. Sci.</source> <volume>3</volume>, <fpage>401</fpage>&#x2013;<lpage>425</lpage>. <pub-id pub-id-type="doi">10.1146/annurev-marine-120709-142731</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Beulig</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>R&#xf8;y</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Glombitza</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Control on rate and pathway of anaerobic organic carbon degradation in the seabed</article-title>. <source>Proc. Natl. Acad. Sci.</source> <volume>115</volume> (<issue>2</issue>), <fpage>367</fpage>&#x2013;<lpage>372</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.1715789115</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boatman</surname>
<given-names>C. D.</given-names>
</name>
<name>
<surname>Murray</surname>
<given-names>J. W.</given-names>
</name>
</person-group> (<year>1982</year>). <article-title>Modeling exchangeable NH4&#x2b; adsorption in marine sediments: Process and controls of adsorption 1, 2</article-title>. <source>Limnol. Oceanogr.</source> <volume>27</volume> (<issue>1</issue>), <fpage>99</fpage>&#x2013;<lpage>110</lpage>. <pub-id pub-id-type="doi">10.4319/lo.1982.27.1.0099</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Borman</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Elder</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Q2(R1) validation of analytical procedures</article-title>. <source>In ICH Quality Guidelines</source>, <fpage>127</fpage>&#x2013;<lpage>166</lpage>. <pub-id pub-id-type="doi">10.1002/9781118971147.ch5</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Borowski</surname>
<given-names>W. S.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>A review of methane and gas hydrates in the dynamic, stratified system of the Blake Ridge region, offshore southeastern North America</article-title>. <source>Chem. Geol.</source> <volume>205</volume> (<issue>3-4</issue>), <fpage>311</fpage>&#x2013;<lpage>346</lpage>. <pub-id pub-id-type="doi">10.1016/j.chemgeo.2003.12.022</pub-id>
</citation>
</ref>
<ref id="B80">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Boudreau</surname>
<given-names>B. P.</given-names>
</name>
</person-group> (<year>1997</year>). <source>Diagenetic Models and Their Implementation</source> <volume>505</volume>, <fpage>132</fpage>. <publisher-loc>Berlin</publisher-loc>: <publisher-name>Springer</publisher-name>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brogi</surname>
<given-names>S. R.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>J.-H.</given-names>
</name>
<name>
<surname>Ryu</surname>
<given-names>J.-S.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>Y. K.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>Y. K.</given-names>
</name>
<name>
<surname>Hur</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Exploring sediment porewater dissolved organic matter (DOM) in a mud volcano: Clues of a thermogenic DOM source from fluorescence spectroscopy</article-title>. <source>Mar. Chem.</source> <volume>211</volume>, <fpage>15</fpage>&#x2013;<lpage>24</lpage>. <pub-id pub-id-type="doi">10.1016/j.marchem.2019.03.009</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burdige</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Berelson</surname>
<given-names>W. M.</given-names>
</name>
<name>
<surname>Coale</surname>
<given-names>K. H.</given-names>
</name>
<name>
<surname>McManus</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Johnson</surname>
<given-names>K. S.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Fluxes of dissolved organic carbon from California continental margin sediments</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>63</volume> (<issue>10</issue>), <fpage>1507</fpage>&#x2013;<lpage>1515</lpage>. <pub-id pub-id-type="doi">10.1016/s0016-7037(99)00066-6</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burdige</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Komada</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Magen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Chanton</surname>
<given-names>J. P.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Carbon cycling in Santa Barbara Basin Sediments: A modeling study</article-title>. <source>J. Mar. Res.</source> <volume>74</volume> (<issue>3</issue>), <fpage>133</fpage>&#x2013;<lpage>159</lpage>. <pub-id pub-id-type="doi">10.1357/002224016819594818</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burdige</surname>
<given-names>D. J.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>The biogeochemistry of manganese and iron reduction in marine sediments</article-title>. <source>Earth-Science Rev.</source> <volume>35</volume> (<issue>3</issue>), <fpage>249</fpage>&#x2013;<lpage>284</lpage>. <pub-id pub-id-type="doi">10.1016/0012-8252(93)90040-e</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>N.-C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Hong</surname>
<given-names>W.-L.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>T.-L.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>I.-T.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>P.-L.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Discharge of deeply rooted fluids from submarine mud volcanism in the Taiwan accretionary prism</article-title>. <source>Sci. Rep.</source> <volume>10</volume> (<issue>1</issue>), <fpage>381</fpage>&#x2013;<lpage>392</lpage>. <pub-id pub-id-type="doi">10.1038/s41598-019-57250-9</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>N. C.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Hong</surname>
<given-names>W. L.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H. W.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H. C.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>C. Y.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Production, consumption, and migration of methane in accretionary prism of southwestern Taiwan</article-title>. <source>Geochem. Geophys. Geosystems</source> <volume>18</volume>, <fpage>2970</fpage>&#x2013;<lpage>2989</lpage>. <pub-id pub-id-type="doi">10.1002/2017gc006798</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>S.-C.</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>S.-K.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chung</surname>
<given-names>S.-H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P.-C.</given-names>
</name>
<name>
<surname>Tsai</surname>
<given-names>C.-H.</given-names>
</name>
<etal/>
</person-group> (<year>2014a</year>). <article-title>Distribution and characters of the mud diapirs and mud volcanoes off southwest Taiwan</article-title>. <source>J. Asian Earth Sci.</source> <volume>92</volume>, <fpage>201</fpage>&#x2013;<lpage>214</lpage>. <pub-id pub-id-type="doi">10.1016/j.jseaes.2013.10.009</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>S.-C.</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chung</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>P. C.</given-names>
</name>
<name>
<surname>Tsai</surname>
<given-names>C. H.</given-names>
</name>
<etal/>
</person-group> (<year>2014b</year>). <article-title>Distribution and characters of the mud diapirs and mud volcanoes off southwest Taiwan</article-title>. <source>J. Asian Earth Sci.</source> <volume>92</volume>, <fpage>201</fpage>&#x2013;<lpage>214</lpage>. <pub-id pub-id-type="doi">10.1016/j.jseaes.2013.10.009</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cheng</surname>
<given-names>T.-W.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>Y.-H.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>S.-L.</given-names>
</name>
<name>
<surname>Tseng</surname>
<given-names>C.-H.</given-names>
</name>
<name>
<surname>Chiang</surname>
<given-names>P.-W.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>K.-T.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Metabolic stratification driven by surface and subsurface interactions in a terrestrial mud volcano</article-title>. <source>ISME J.</source> <volume>6</volume> (<issue>12</issue>), <fpage>2280</fpage>&#x2013;<lpage>2290</lpage>. <pub-id pub-id-type="doi">10.1038/ismej.2012.61</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chuang</surname>
<given-names>P.-C.</given-names>
</name>
<name>
<surname>Dale</surname>
<given-names>A. W.</given-names>
</name>
<name>
<surname>Heuer</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Hinrichs</surname>
<given-names>K.-U.</given-names>
</name>
<name>
<surname>Zabel</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Coupling of dissolved organic carbon, sulfur and iron cycling in Black Sea sediments over the Holocene and the late Pleistocene: Insights from an empirical dynamic model</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>307</volume>, <fpage>302</fpage>&#x2013;<lpage>318</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2021.04.032</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chuang</surname>
<given-names>P. C.</given-names>
</name>
<name>
<surname>Dale</surname>
<given-names>A. W.</given-names>
</name>
<name>
<surname>Wallmann</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Haeckel</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>N. C.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Relating sulfate and methane dynamics to geology: Accretionary prism offshore SW Taiwan: Relating SO<sub>4</sub>and CH<sub>4</sub>Dynamics off SW Taiwan</article-title>. <source>Geochem. Geophys. Geosystems</source> <volume>14</volume> (<issue>7</issue>), <fpage>2523</fpage>&#x2013;<lpage>2545</lpage>. <pub-id pub-id-type="doi">10.1002/ggge.20168</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Egeberg</surname>
<given-names>P. K.</given-names>
</name>
<name>
<surname>Barth</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Contribution of dissolved organic species to the carbon and energy budgets of hydrate bearing deep sea sediments (Ocean Drilling Program Site 997 Blake Ridge)</article-title>. <source>Chem. Geol.</source> <volume>149</volume> (<issue>1-2</issue>), <fpage>25</fpage>&#x2013;<lpage>35</lpage>. <pub-id pub-id-type="doi">10.1016/s0009-2541(98)00033-3</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eickenbusch</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Takai</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Sissman</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Suzuki</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Menzies</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Sakai</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Origin of short-chain organic acids in serpentinite mud volcanoes of the mariana convergent margin</article-title>. <source>Front. Microbiol.</source> <volume>10</volume>, <fpage>1729</fpage>. <pub-id pub-id-type="doi">10.3389/fmicb.2019.01729</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Fenchel</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Blackburn</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Blackburn</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>King</surname>
<given-names>G. M.</given-names>
</name>
</person-group> (<year>2012</year>). <source>Bacterial biogeochemistry: The ecophysiology of mineral cycling</source>. <publisher-name>Academic Press</publisher-name>.</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Finke</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Vandieken</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Acetate, lactate, propionate, and isobutyrate as electron donors for iron and sulfate reduction in Arctic marine sediments, Svalbard</article-title>. <source>Fems Microbiol. Ecol.</source> <volume>59</volume> (<issue>1</issue>), <fpage>10</fpage>&#x2013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.1111/j.1574-6941.2006.00214.x</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Glombitza</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Egger</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>R&#xf8;y</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Controls on volatile fatty acid concentrations in marine sediments (Baltic Sea)</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>258</volume>, <fpage>226</fpage>&#x2013;<lpage>241</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2019.05.038</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Glombitza</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Jaussi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>R&#xf8;y</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Seidenkrantz</surname>
<given-names>M.-S.</given-names>
</name>
<name>
<surname>Lomstein</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Formate, acetate, and propionate as substrates for sulfate reduction in sub-arctic sediments of Southwest Greenland</article-title>. <source>Front. Microbiol.</source> <volume>6</volume>, <fpage>846</fpage>. <pub-id pub-id-type="doi">10.3389/fmicb.2015.00846</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Haas</surname>
<given-names>A. F.</given-names>
</name>
<name>
<surname>Nelson</surname>
<given-names>C. E.</given-names>
</name>
<name>
<surname>Kelly</surname>
<given-names>L. W.</given-names>
</name>
<name>
<surname>Carlson</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Rohwer</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Leichter</surname>
<given-names>J. J.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Effects of coral reef benthic primary producers on dissolved organic carbon and microbial activity</article-title>. <source>PloS one</source> <volume>6</volume> (<issue>11</issue>), <fpage>e27973</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0027973</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hedges</surname>
<given-names>J. I.</given-names>
</name>
<name>
<surname>Keil</surname>
<given-names>R. G.</given-names>
</name>
</person-group> (<year>1995</year>). <article-title>Sedimentary organic matter preservation: An assessment and speculative synthesis</article-title>. <source>Mar. Chem.</source> <volume>49</volume>(<issue>2&#x2013;3</issue>), <fpage>81</fpage>&#x2013;<lpage>115</lpage>. <pub-id pub-id-type="doi">10.1016/0304-4203(95)00008-F</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Helgeson</surname>
<given-names>H. C.</given-names>
</name>
</person-group> (<year>1969</year>). <article-title>Thermodynamics of hydrothermal systems at elevated temperatures and pressures</article-title>. <source>Am. J. Sci.</source> <volume>267</volume> (<issue>7</issue>), <fpage>729</fpage>&#x2013;<lpage>804</lpage>. <pub-id pub-id-type="doi">10.2475/ajs.267.7.729</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heuer</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Inagaki</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Morono</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kubo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Spivack</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Viehweger</surname>
<given-names>B.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Temperature limits to deep subseafloor life in the Nankai Trough subduction zone</article-title>. <source>Science</source> <volume>370</volume> (<issue>6521</issue>), <fpage>1230</fpage>&#x2013;<lpage>1234</lpage>. <pub-id pub-id-type="doi">10.1126/science.abd7934</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heuer</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Krueger</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Elvert</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hinrichs</surname>
<given-names>K.-U.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Experimental studies on the stable carbon isotope biogeochemistry of acetate in lake sediments</article-title>. <source>Org. Geochem.</source> <volume>41</volume> (<issue>1</issue>), <fpage>22</fpage>&#x2013;<lpage>30</lpage>. <pub-id pub-id-type="doi">10.1016/j.orggeochem.2009.07.004</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Heuer</surname>
<given-names>V. B.</given-names>
</name>
<name>
<surname>Pohlman</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Torres</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Elvert</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hinrichs</surname>
<given-names>K. U.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>The stable carbon isotope biogeochemistry of acetate and other dissolved carbon species in deep subseafloor sediments at the northern Cascadia Margin</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>73</volume> (<issue>11</issue>), <fpage>3323</fpage>&#x2013;<lpage>3336</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2009.03.001</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hiruta</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>C.-C.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>N.-C.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.-J.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Activation of gas bubble emissions indicated by the upward decreasing Lead-210 activity at a submarine mud volcano (TY1) offshore southwestern Taiwan</article-title>. <source>J. Asian Earth Sci.</source> <volume>149</volume>, <fpage>160</fpage>&#x2013;<lpage>171</lpage>. <pub-id pub-id-type="doi">10.1016/j.jseaes.2017.08.007</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoehler</surname>
<given-names>T. M.</given-names>
</name>
<name>
<surname>Alperin</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Albert</surname>
<given-names>D. B.</given-names>
</name>
<name>
<surname>Martens</surname>
<given-names>C. S.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Apparent minimum free energy requirements for methanogenic Archaea and sulfate-reducing bacteria in an anoxic marine sediment</article-title>. <source>Fems Microbiol. Ecol.</source> <volume>38</volume> (<issue>1</issue>), <fpage>33</fpage>&#x2013;<lpage>41</lpage>. <pub-id pub-id-type="doi">10.1111/j.1574-6941.2001.tb00879.x</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoehler</surname>
<given-names>T. M.</given-names>
</name>
<name>
<surname>Alperin</surname>
<given-names>M. J.</given-names>
</name>
<name>
<surname>Albert</surname>
<given-names>D. B.</given-names>
</name>
<name>
<surname>Martens</surname>
<given-names>C. S.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>Thermodynamic control on hydrogen concentrations in anoxic sediments</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>62</volume> (<issue>10</issue>), <fpage>1745</fpage>&#x2013;<lpage>1756</lpage>. <pub-id pub-id-type="doi">10.1016/s0016-7037(98)00106-9</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hong</surname>
<given-names>W.-L.</given-names>
</name>
<name>
<surname>Torres</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Carroll</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Cr&#xe9;mi&#xe8;re</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Panieri</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>H.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Seepage from an arctic shallow marine gas hydrate reservoir is insensitive to momentary ocean warming</article-title>. <source>Nat. Commun.</source> <volume>8</volume>, <fpage>15745</fpage>. <comment>[Article]</comment>. <pub-id pub-id-type="doi">10.1038/ncomms15745</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hu</surname>
<given-names>C.-Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>T. F.</given-names>
</name>
<name>
<surname>Burr</surname>
<given-names>G. S.</given-names>
</name>
<name>
<surname>Chuang</surname>
<given-names>P.-C.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H.-W.</given-names>
</name>
<name>
<surname>Walia</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Biogeochemical cycles at the sulfate-methane transition zone (SMTZ) and geochemical characteristics of the pore fluids offshore southwestern Taiwan</article-title>. <source>J. Asian Earth Sci.</source> <volume>149</volume>, <fpage>172</fpage>&#x2013;<lpage>183</lpage>. <pub-id pub-id-type="doi">10.1016/j.jseaes.2017.07.002</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hung</surname>
<given-names>C.-W.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>K.-H.</given-names>
</name>
<name>
<surname>Shih</surname>
<given-names>Y.-Y.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Y.-S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>H.-H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.-C.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Benthic fluxes of dissolved organic carbon from gas hydrate sediments in the northern South China Sea</article-title>. <source>Sci. Rep.</source> <volume>6</volume>, <fpage>29597</fpage>. <pub-id pub-id-type="doi">10.1038/srep29597</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ijiri</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Inagaki</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Kubo</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Adhikari</surname>
<given-names>R. R.</given-names>
</name>
<name>
<surname>Hattori</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Hoshino</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Deep-biosphere methane production stimulated by geofluids in the Nankai accretionary complex</article-title>. <source>Sci. Adv.</source> <volume>4</volume> (<issue>6</issue>), <fpage>eaao4631</fpage>. <pub-id pub-id-type="doi">10.1126/sciadv.aao4631</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jansen</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Thauer</surname>
<given-names>R. K.</given-names>
</name>
<name>
<surname>Widdel</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Fuchs</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>1984</year>). <article-title>Carbon assimilation pathways in sulfate reducing bacteria. Formate, carbon dioxide, carbon monoxide, and acetate assimilation by Desulfovibrio baarsii</article-title>. <source>Archives Microbiol.</source> <volume>138</volume>, <fpage>257</fpage>&#x2013;<lpage>262</lpage>. <pub-id pub-id-type="doi">10.1007/bf00402132</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jin</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Bethke</surname>
<given-names>C. M.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Cellular energy conservation and the rate of microbial sulfate reduction</article-title>. <source>Geology</source> <volume>37</volume> (<issue>11</issue>), <fpage>1027</fpage>&#x2013;<lpage>1030</lpage>. <pub-id pub-id-type="doi">10.1130/g30185a.1</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kandasamy</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Lou</surname>
<given-names>J. Y.</given-names>
</name>
<name>
<surname>Kao</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>C. T. A.</given-names>
</name>
<name>
<surname>Mayer</surname>
<given-names>L. M.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Estimation of marine versus terrigenous organic carbon in sediments off southwestern taiwan using the bromine to total organic carbon ratio as a proxy</article-title>. <source>J. Geophys. Res. Biogeosciences</source> <volume>123</volume> (<issue>10</issue>), <fpage>3387</fpage>&#x2013;<lpage>3402</lpage>. <pub-id pub-id-type="doi">10.1029/2018jg004674</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kandasamy</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Nagender Nath</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Perspectives on the terrestrial organic matter transport and burial along the land-deep sea continuum: Caveats in our understanding of biogeochemical processes and future needs</article-title>. <source>Front. Mar. Sci.</source> <volume>3</volume> (<issue>259</issue>). <pub-id pub-id-type="doi">10.3389/fmars.2016.00259</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Komada</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Burdige</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Crispo</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Druffel</surname>
<given-names>E. R.</given-names>
</name>
<name>
<surname>Griffin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Johnson</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Dissolved organic carbon dynamics in anaerobic sediments of the Santa Monica Basin</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>110</volume>, <fpage>253</fpage>&#x2013;<lpage>273</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2013.02.017</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Komada</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Burdige</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>H.-L.</given-names>
</name>
<name>
<surname>Magen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Chanton</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Cada</surname>
<given-names>A. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Organic matter cycling across the sulfate-methane transition zone of the Santa Barbara Basin, California Borderland</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>176</volume>, <fpage>259</fpage>&#x2013;<lpage>278</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2015.12.022</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Leloup</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Loy</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Knab</surname>
<given-names>N. J.</given-names>
</name>
<name>
<surname>Borowski</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wagner</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>2007</year>). <article-title>Diversity and abundance of sulfate-reducing microorganisms in the sulfate and methane zones of a marine sediment, Black Sea</article-title>. <source>Environ. Microbiol.</source> <volume>9</volume>(<issue>1</issue>), <fpage>131</fpage>&#x2013;<lpage>142</lpage>. <pub-id pub-id-type="doi">10.1111/j.1462-2920.2006.01122.x</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>A. T.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>B. C.</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>C. Y.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Tectonic features of the incipient arc-continent collision zone of Taiwan: Implications for seismicity</article-title>. <source>Tectonophysics</source> <volume>479</volume> (<issue>1-2</issue>), <fpage>28</fpage>&#x2013;<lpage>42</lpage>. <pub-id pub-id-type="doi">10.1016/j.tecto.2008.11.004</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>C.-C.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>A. T.-S.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.-S.</given-names>
</name>
<name>
<surname>Horng</surname>
<given-names>C.-S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>G.-Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Canyon-infilling and gas hydrate occurrences in the frontal fold of the offshore accretionary wedge off southern Taiwan</article-title>. <source>Mar. Geophys. Res.</source> <volume>35</volume> (<issue>1</issue>), <fpage>21</fpage>&#x2013;<lpage>35</lpage>. <pub-id pub-id-type="doi">10.1007/s11001-013-9203-7</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Suflita</surname>
<given-names>J. M.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>H <sub>2</sub> -CO <sub>2</sub> -dependent anaerobic O-demethylation activity in subsurface sediments and by an isolated bacterium</article-title>. <source>Appl. Environ. Microbiol.</source> <volume>59</volume>(<issue>5</issue>), <fpage>1325</fpage>&#x2013;<lpage>1331</lpage>. <pub-id pub-id-type="doi">10.1128/aem.59.5.1325-1331.1993</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mackenzie</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Lerman</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Andersson</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Past and present of sediment and carbon biogeochemical cycling models</article-title>. <source>Biogeosciences Discuss.</source> <volume>1</volume> (<issue>1</issue>), <fpage>11</fpage>&#x2013;<lpage>32</lpage>. <pub-id pub-id-type="doi">10.5194/bg-1-11-2004</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Middelburg</surname>
<given-names>J. J.</given-names>
</name>
</person-group> (<year>1989</year>). <article-title>A simple rate model for organic matter decomposition in marine sediments</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>53</volume> (<issue>7</issue>), <fpage>1577</fpage>&#x2013;<lpage>1581</lpage>. <pub-id pub-id-type="doi">10.1016/0016-7037(89)90239-1</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Morono</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Terada</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Nishizawa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ito</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hillion</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Takahata</surname>
<given-names>N.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Carbon and nitrogen assimilation in deep subseafloor microbial cells</article-title>. <source>Proc. Natl. Acad. Sci.</source> <volume>108</volume> (<issue>45</issue>), <fpage>18295</fpage>&#x2013;<lpage>18300</lpage>. <pub-id pub-id-type="doi">10.1073/pnas.1107763108</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Na</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Lever</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Kjeldsen</surname>
<given-names>K. U.</given-names>
</name>
<name>
<surname>Schulz</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Uncultured D esulfobacteraceae and C renarchaeotal group C 3 incorporate 13 C&#x2010;acetate in coastal marine sediment</article-title>. <source>Environ. Microbiol. Rep.</source> <volume>7</volume> (<issue>4</issue>), <fpage>614</fpage>&#x2013;<lpage>622</lpage>. <pub-id pub-id-type="doi">10.1111/1758-2229.12296</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nuzzo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hornibrook</surname>
<given-names>E. R.</given-names>
</name>
<name>
<surname>Hensen</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Parkes</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Cragg</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Rinna</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2008</year>). <article-title>Shallow microbial recycling of deep-sourced carbon in Gulf of Cadiz mud volcanoes</article-title>. <source>Geomicrobiol. J.</source> <volume>25</volume> (<issue>6</issue>), <fpage>283</fpage>&#x2013;<lpage>295</lpage>. <pub-id pub-id-type="doi">10.1080/01490450802258196</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Orcutt</surname>
<given-names>B. N.</given-names>
</name>
<name>
<surname>LaRowe</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Biddle</surname>
<given-names>J. F.</given-names>
</name>
<name>
<surname>Colwell</surname>
<given-names>F. S.</given-names>
</name>
<name>
<surname>Glazer</surname>
<given-names>B. T.</given-names>
</name>
<name>
<surname>Reese</surname>
<given-names>B. K.</given-names>
</name>
<etal/>
</person-group> (<year>2013</year>). <article-title>Microbial activity in the marine deep biosphere: Progress and prospects</article-title>. <source>Front. Microbiol.</source> <volume>4</volume>, <fpage>189</fpage>. <pub-id pub-id-type="doi">10.3389/fmicb.2013.00189</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Oremland</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Polcin</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>1982</year>). <article-title>Methanogenesis and sulfate reduction: Competitive and noncompetitive substrates in estuarine sediments</article-title>. <source>Appl. Environ. Microbiol.</source> <volume>44</volume> (<issue>6</issue>), <fpage>1270</fpage>&#x2013;<lpage>1276</lpage>. <pub-id pub-id-type="doi">10.1128/aem.44.6.1270-1276.1982</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Orsi</surname>
<given-names>W. D.</given-names>
</name>
<name>
<surname>Barker J&#xf8;rgensen</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Biddle</surname>
<given-names>J. F.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Transcriptional analysis of sulfate reducing and chemolithoautotrophic sulfur oxidizing bacteria in the deep subseafloor</article-title>. <source>Environ. Microbiol. Rep.</source> <volume>8</volume>(<issue>4</issue>), <fpage>452</fpage>&#x2013;<lpage>460</lpage>. <pub-id pub-id-type="doi">10.1111/1758-2229.12387</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Parkes</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Wellsbury</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Mather</surname>
<given-names>I. D.</given-names>
</name>
<name>
<surname>Cobb</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Cragg</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Hornibrook</surname>
<given-names>E. R. C.</given-names>
</name>
<etal/>
</person-group> (<year>2007</year>). <article-title>Temperature activation of organic matter and minerals during burial has the potential to sustain the deep biosphere over geological timescales</article-title>. <source>Org. Geochem.</source> <volume>38</volume>(<issue>6</issue>), <fpage>845</fpage>&#x2013;<lpage>852</lpage>. <pub-id pub-id-type="doi">10.1016/j.orggeochem.2006.12.011</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pohlman</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Bauer</surname>
<given-names>J. E.</given-names>
</name>
<name>
<surname>Waite</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Osburn</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Chapman</surname>
<given-names>N. R.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Methane hydrate-bearing seeps as a source of aged dissolved organic carbon to the oceans</article-title>. <source>Nature</source> <volume>4</volume>, <fpage>37</fpage>&#x2013;<lpage>41</lpage>. <pub-id pub-id-type="doi">10.1038/ngeo1016</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schrum</surname>
<given-names>H. N.</given-names>
</name>
<name>
<surname>Spivack</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Kastner</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>D&#x27;Hondt</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Sulfate-reducing ammonium oxidation: A thermodynamically feasible metabolic pathway in subseafloor sediment</article-title>. <source>Geology</source> <volume>37</volume> (<issue>10</issue>), <fpage>939</fpage>&#x2013;<lpage>942</lpage>. <pub-id pub-id-type="doi">10.1130/g30238a.1</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sela-Adler</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ronen</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Herut</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Antler</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Vigderovich</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Eckert</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Co-existence of methanogenesis and sulfate reduction with common substrates in sulfate-rich estuarine sediments</article-title>. <source>Front. Microbiol.</source> <volume>8</volume>, <fpage>766</fpage>. <pub-id pub-id-type="doi">10.3389/fmicb.2017.00766</pub-id>
</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>S&#xf8;rensen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Christensen</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>J&#xf8;rgensen</surname>
<given-names>B. B.</given-names>
</name>
</person-group> (<year>1981</year>). <article-title>Volatile fatty acids and hydrogen as substrates for sulfate-reducing bacteria in anaerobic marine sediment</article-title>. <source>Appl. Environ. Microbiol.</source> <volume>42</volume> (<issue>1</issue>), <fpage>5</fpage>&#x2013;<lpage>11</lpage>. <pub-id pub-id-type="doi">10.1128/aem.42.1.5-11.1981</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Su</surname>
<given-names>C.-C.</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>S.-T.</given-names>
</name>
<name>
<surname>Hsu</surname>
<given-names>H.-H.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>J.-Y.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>J.-J.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Sedimentological characteristics and seafloor failure offshore SW Taiwan</article-title>. <source>Terr. Atmos. Ocean. Sci.</source> <volume>29</volume> (<issue>1</issue>), <fpage>65</fpage>&#x2013;<lpage>76</lpage>. <pub-id pub-id-type="doi">10.3319/tao.2017.06.21.01</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teece</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Fogel</surname>
<given-names>M. L.</given-names>
</name>
<name>
<surname>Dollhopf</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Nealson</surname>
<given-names>K. H.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Isotopic fractionation associated with biosynthesis of fatty acids by a marine bacterium under oxic and anoxic conditions</article-title>. <source>Org. Geochem.</source> <volume>30</volume> (<issue>12</issue>), <fpage>1571</fpage>&#x2013;<lpage>1579</lpage>. <pub-id pub-id-type="doi">10.1016/s0146-6380(99)00108-4</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teng</surname>
<given-names>L. S.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>Geotectonic evolution of late Cenozoic arc-continent collision in Taiwan</article-title>. <source>Tectonophysics</source> <volume>183</volume> (<issue>1-4</issue>), <fpage>57</fpage>&#x2013;<lpage>76</lpage>. <pub-id pub-id-type="doi">10.1016/0040-1951(90)90188-e</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thauer</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Zinkhan</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Spormann</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>1989</year>). <article-title>Biochemistry of acetate catabolism in anaerobic chemotrophic bacteria</article-title>. <source>Annu. Rev. Microbiol.</source> <volume>43</volume> (<issue>1</issue>), <fpage>43</fpage>&#x2013;<lpage>67</lpage>. <pub-id pub-id-type="doi">10.1146/annurev.mi.43.100189.000355</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Treude</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Krause</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Maltby</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Dale</surname>
<given-names>A. W.</given-names>
</name>
<name>
<surname>Coffin</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Hamdan</surname>
<given-names>L. J.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Sulfate reduction and methane oxidation activity below the sulfate-methane transition zone in Alaskan Beaufort Sea continental margin sediments: Implications for deep sulfur cycling</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>144</volume>, <fpage>217</fpage>&#x2013;<lpage>237</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2014.08.018</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Valdemarsen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kristensen</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Degradation of dissolved organic monomers and short-chain fatty acids in sandy marine sediment by fermentation and sulfate reduction</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>74</volume> (<issue>5</issue>), <fpage>1593</fpage>&#x2013;<lpage>1605</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2009.12.009</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Vanneste</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Kelly-Gerreyn</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Connelly</surname>
<given-names>D. P.</given-names>
</name>
<name>
<surname>James</surname>
<given-names>R. H.</given-names>
</name>
<name>
<surname>Haeckel</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Fisher</surname>
<given-names>R. E.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Spatial variation in fluid flow and geochemical fluxes across the sediment&#x2013;seawater interface at the Carlos Ribeiro mud volcano (Gulf of Cadiz)</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>75</volume> (<issue>4</issue>), <fpage>1124</fpage>&#x2013;<lpage>1144</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2010.11.017</pub-id>
</citation>
</ref>
<ref id="B71">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wallmann</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Aloisi</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Haeckel</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Obzhirov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Pavlova</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Tishchenko</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Kinetics of organic matter degradation, microbial methane generation, and gas hydrate formation in anoxic marine sediments</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>70</volume> (<issue>15</issue>), <fpage>3905</fpage>&#x2013;<lpage>3927</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2006.06.003</pub-id>
</citation>
</ref>
<ref id="B72">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Spivack</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>D&#x2019;Hondt</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Gibbs energies of reaction and microbial mutualism in anaerobic deep subseafloor sediments of ODP Site 1226</article-title>. <source>Geochimica Cosmochimica Acta</source> <volume>74</volume> (<issue>14</issue>), <fpage>3938</fpage>&#x2013;<lpage>3947</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2010.03.034</pub-id>
</citation>
</ref>
<ref id="B73">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Spivack</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Rutherford</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Manor</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>D&#x2019;Hondt</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Quantification of co-occurring reaction rates in deep subseafloor sediments</article-title>. <source>Geochimica Cosmochimica Acta</source>, <volume>72</volume>(<issue>14</issue>), <fpage>3479</fpage>&#x2013;<lpage>3488</lpage>. <pub-id pub-id-type="doi">10.1016/j.gca.2008.04.024</pub-id>
</citation>
</ref>
<ref id="B74">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wei</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Kastner</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Spivack</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Reply to comment on: &#x201c;Chlorine stable isotopes and halogen concentrations in convergent margins with implications for the Cl isotopes cycle in the ocean&#x201d;</article-title>. <source>Earth Planet. Sci. Lett.</source> <volume>274</volume> (<issue>3-4</issue>), <fpage>535</fpage>. <pub-id pub-id-type="doi">10.1016/j.epsl.2008.07.023</pub-id>
</citation>
</ref>
<ref id="B75">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wellsbury</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Goodman</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Barth</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Cragg</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Barnes</surname>
<given-names>S. P.</given-names>
</name>
<name>
<surname>Parkes</surname>
<given-names>R. J.</given-names>
</name>
</person-group> (<year>1997</year>). <article-title>Deep marine biosphere fuelled by increasing organic matter availability during burial and heating</article-title>. <source>Nature</source> <volume>388</volume> (<issue>6642</issue>), <fpage>573</fpage>&#x2013;<lpage>576</lpage>. <pub-id pub-id-type="doi">10.1038/41544</pub-id>
</citation>
</ref>
<ref id="B76">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wessel</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>W. H.</given-names>
</name>
</person-group> (<year>1998</year>). <article-title>New, improved version of generic mapping tools released</article-title>. <source>Eos, Trans. Am. Geophys. Union</source> <volume>79</volume> (<issue>47</issue>), <fpage>579</fpage>. <pub-id pub-id-type="doi">10.1029/98eo00426</pub-id>
</citation>
</ref>
<ref id="B77">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2016</year>). <source>New data processing algorithm for marine heat flow and thermal modeling for Tsan-Yao mud volcano offshore SW Taiwan</source>. <publisher-loc>Taipei</publisher-loc>: <publisher-name>Institute of Oceanography College of Science, National Taiwan University</publisher-name>.</citation>
</ref>
<ref id="B78">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yoon</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sanford</surname>
<given-names>R. A.</given-names>
</name>
<name>
<surname>L&#xf6;ffler</surname>
<given-names>F. E.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Shewanella spp. use acetate as an electron donor for denitrification but not ferric iron or fumarate reduction</article-title>. <source>Appl. Environ. Microbiol.</source> <volume>79</volume> (<issue>8</issue>), <fpage>2818</fpage>&#x2013;<lpage>2822</lpage>. <pub-id pub-id-type="doi">10.1128/aem.03872-12</pub-id>
</citation>
</ref>
<ref id="B79">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2019</year>). <source>An areal assessment of subseafloor carbon cycling in cold seeps and hydrate-bearing areas in the northern south China Sea</source>. <publisher-name>Geofluids</publisher-name>.</citation>
</ref>
</ref-list>
</back>
</article>