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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">974548</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.974548</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>Redox species and oxygen fugacity of slab-derived fluids: Implications for mantle oxidation and deep carbon-sulfur cycling</article-title>
<alt-title alt-title-type="left-running-head">Li 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.2022.974548">10.3389/feart.2022.974548</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Yi-Bing</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="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1876362/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Chen</surname>
<given-names>Yi</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="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/144151/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Su</surname>
<given-names>Bin</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/1876486/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Qing-Hua</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="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Kai-Hui</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="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>State Key Laboratory of Lithospheric Evolution</institution>, <institution>Institute of Geology and Geophysics</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Innovation Academy for Earth Science</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/478733/overview">Simona Ferrando</ext-link>, University of Turin, Italy</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/1890544/overview">Andrea Maffeis</ext-link>, Universit&#xe0; di Torino&#x2014;Dipartimento di Scienze della Terra, Italy</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1740703/overview">Penglei Liu</ext-link>, China University of Geosciences Wuhan, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yi Chen, <email>chenyi@mail.iggcas.ac.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Petrology, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>28</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>974548</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>06</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>09</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Li, Chen, Su, Zhang and Shi.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Li, Chen, Su, Zhang and Shi</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>The generation and migration of slab-derived fluids modulate subduction zone seismicity, arc magmatism, and deep volatile cycling. However, the redox species and oxygen fugacity (<italic>f</italic>O<sub>2</sub>) (hereafter expressed as log units relative to the fayalite&#x2013;magnetite&#x2013;quartz buffer, &#x25b3;FMQ) of slab-derived fluids are highly debated. Here we conducted phase equilibria modeling on altered oceanic crust (AOC) and serpentinites along typical subduction geotherms in the C-S-bearing system over a pressure range of 0.5&#x2013;6&#xa0;GPa. With the averaged compositions of AOC and serpentinite, our calculated results show that oxidized carbon-sulfur species dominate slab-derived fluids during slab subduction. As a result, slab-derived fluids are highly oxidized and at or above the typical &#x25b3;FMQ values of arc magmas at forearc to subarc depths. The predicted oxidized carbon and sulfur species are compatible with natural observations in fluid inclusions from many oceanic HP metamorphic rocks. More importantly, it is revealed that, the redox state of slab-derived fluids is primarily controlled by the redox budget (RB) of the slab prior to subduction. Subduction-zone thermal structure, however, only exerts a minor influence on the slab-derived fluid <italic>f</italic>O<sub>2</sub>, which is supported by the similar <italic>f</italic>O<sub>2</sub> ranges in arc lavas from cold and hot subduction zones. Our models further show that, if an open system is assumed, most of carbon (&#x3e;70%) and sulfur (&#x3e;50%) in cold subducted AOC and serpentinite would be lost at subarc depths. Small amounts of carbon and sulfur could be transported into the deeper mantle <italic>via</italic> closed-system subduction and open-system cold subduction, supplying the source materials for volatile-rich intraplate magmas and superdeep diamonds.</p>
</abstract>
<kwd-group>
<kwd>slab-derived fluids</kwd>
<kwd>fluid species</kwd>
<kwd>oxygen fugacity</kwd>
<kwd>redox budget</kwd>
<kwd>mantle oxidation</kwd>
<kwd>carbon-sulfur cycle</kwd>
</kwd-group>
<contract-num rid="cn001">42172064 41822202</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Subduction zones are a key locus of fluid generation, mass transfer, crust-mantle interaction, and arc magmatism (<xref ref-type="bibr" rid="B63">Manning, 2004</xref>). Slab-derived fluids transport recycling materials into the overlying mantle wedge and significantly affect the physical-chemical behaviors of the subducting slab and the <italic>f</italic>O<sub>2</sub> of the upper mantle and mantle-derived magmas. Slab dehydration is essential for producing intermediate-depth earthquakes and shaping plate subduction styles (<xref ref-type="bibr" rid="B45">Hacker et al., 2003</xref>; <xref ref-type="bibr" rid="B16">Chen and Ye, 2013</xref>; <xref ref-type="bibr" rid="B98">Zhan, 2020</xref>), and the nature and <italic>f</italic>O<sub>2</sub> of slab-derived fluids play crucial roles in continental crust growth, ore deposit formation, and the evolution of Earth&#x2019;s atmosphere (<xref ref-type="bibr" rid="B50">Ishihara, 2004</xref>; <xref ref-type="bibr" rid="B52">Jego and Pichavant, 2012</xref>; <xref ref-type="bibr" rid="B92">Tomkins and Evans, 2015</xref>; <xref ref-type="bibr" rid="B26">Duncan and Dasgupta, 2017</xref>).</p>
<p>Arc magmas have <italic>f</italic>O<sub>2</sub> of 1&#x2013;4 log units higher than mid-ocean ridge basalts (<xref ref-type="bibr" rid="B27">Evans et al., 2012</xref>; <xref ref-type="bibr" rid="B21">Cottrell et al., 2021</xref>). This feature is commonly attributed to the influence of oxidized fluids released by subducting slabs. The oxidation of slab may take place during seafloor hydrothermal alteration at mid-ocean ridges or pre-trench bends before subduction (<xref ref-type="bibr" rid="B92">Tomkins and Evans, 2015</xref>). However, there is a continuing debate on whether the redox state of fluid speciation is oxidized or reduced. Most previous studies on fluid inclusions in high-pressure (HP) metamorphic rocks, experiments, isotope evidence, and thermodynamic calculations suggested that the slab-derived fluids are highly oxidized (<xref ref-type="bibr" rid="B80">Scambelluri and Philippot, 2001</xref>; <xref ref-type="bibr" rid="B37">Frezzotti et al., 2011</xref>; <xref ref-type="bibr" rid="B36">Frezzotti and Ferrando, 2015</xref>; <xref ref-type="bibr" rid="B74">Pons et al., 2016</xref>; <xref ref-type="bibr" rid="B76">Rielli et al., 2017</xref>; <xref ref-type="bibr" rid="B42">Gerrits et al., 2019</xref>; <xref ref-type="bibr" rid="B93">Walters et al., 2020a</xref>; <xref ref-type="bibr" rid="B49">Iacovino et al., 2020</xref>; <xref ref-type="bibr" rid="B64">Maurice et al., 2020</xref>; <xref ref-type="bibr" rid="B101">Zhang et al., 2021</xref>; <xref ref-type="bibr" rid="B1">Ague et al., 2022</xref>), whereas some argued for rather reduced fluids (<xref ref-type="bibr" rid="B83">Song et al., 2009</xref>; <xref ref-type="bibr" rid="B36">Frezzotti and Ferrando, 2015</xref>; <xref ref-type="bibr" rid="B10">Brovarone et al., 2017</xref>; <xref ref-type="bibr" rid="B91">Tao et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Chen et al., 2019</xref>; <xref ref-type="bibr" rid="B69">Piccoli et al., 2019</xref>; <xref ref-type="bibr" rid="B57">Li et al., 2020</xref>). As a result, the redox state of slab-derived fluids is proposed to have a broad <italic>f</italic>O<sub>2</sub> range varying from &#x25b3;FMQ&#x2b;5 to &#x25b3;FMQ&#x2013;4 (e.g., <xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>; <xref ref-type="bibr" rid="B23">Debret and Sverjensky, 2017</xref>; <xref ref-type="bibr" rid="B69">Piccoli et al., 2019</xref>; <xref ref-type="bibr" rid="B94">Walters et al., 2020b</xref>; <xref ref-type="bibr" rid="B95">Wang et al., 2020</xref>). Therefore, whether slab-derived fluids could act as an effective oxidizing agent to adjust the redox state of the mantle remain controversial.</p>
<p>Based on the newly developed geochemical thermodynamic model&#x2013;Deep Earth Water (DEW) model (<xref ref-type="bibr" rid="B89">Sverjensky et al., 2014</xref>; <xref ref-type="bibr" rid="B48">Huang and Sverjensky, 2019</xref>), some efforts have been made to investigate the effects of thermal structure, rock lithologies, and the redox state of the pre-subduction slab on the redox state of slab-derived fluids to reconcile these two opposite views (e.g., <xref ref-type="bibr" rid="B89">Sverjensky et al., 2014</xref>; <xref ref-type="bibr" rid="B93">Walters et al., 2020a</xref>; <xref ref-type="bibr" rid="B28">Evans and Frost, 2021</xref>; <xref ref-type="bibr" rid="B1">Ague et al., 2022</xref>). For example, <xref ref-type="bibr" rid="B89">Sverjensky et al. (2014)</xref> found that the major carbon species in fluids equilibrated with oceanic crust are organic (CH<sub>3</sub>CH<sub>2</sub>COO<sup>&#x2212;</sup> and HCOO<sup>&#x2212;</sup>) and inorganic ionic carbon species, whereas those equilibrated with peridotite generally contain CH<sub>4</sub> and CO<sub>2</sub>/<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
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</inline-formula>. <xref ref-type="bibr" rid="B93">Walters et al. (2020a)</xref> applied a detailed thermodynamic and petrographic-based approach to sulfur-bearing eclogites and found that the aqueous S species and redox state of AOC-derived fluids are influenced by the protolith oxidation state and subduction-zone thermal structure. Both aqueous C and S species are thought to be able to sufficiently affect the oxidation state of the mantle (e.g., <xref ref-type="bibr" rid="B31">Evans, 2012</xref>; <xref ref-type="bibr" rid="B89">Sverjensky et al., 2014</xref>; <xref ref-type="bibr" rid="B54">Kelemen and Manning, 2015</xref>). However, the existing studies rarely treated S and C collectively and neglected the interplay between them. Therefore, further quantitative investigations in the C-S-bearing systems are needed.</p>
<p>Redox-sensitive elements of Fe, C, and S can contribute significantly to the redox budget (RB) of global subduction zones (<xref ref-type="bibr" rid="B30">Evans, 2006</xref>). In this study, we conduct thermodynamic modeling to investigate the redox-sensitive carbon and sulfur species and <italic>f</italic>O<sub>2</sub> in the AOC and serpentinite-derived fluids at forearc to subarc depths along cold and hot subduction geotherms. We find that slab-derived fluids are highly oxidized and mainly controlled by the source redox budget. Our new results thus provide critical information on the nature and composition of slab fluids and have implications for the C-S cycling in subduction zones.</p>
</sec>
<sec id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Thermodynamic modeling methods</title>
<p>We calculated pressure-temperature (<italic>P</italic>&#x2013;<italic>T</italic>) pseudosections and electrolytic fluid speciation for different slab components of AOC (<xref ref-type="bibr" rid="B85">Staudigel et al., 1989</xref>) (in the Na<sub>2</sub>O&#x2013;CaO&#x2013;K<sub>2</sub>O&#x2013;FeO&#x2013;MgO&#x2013;Al<sub>2</sub>O<sub>3</sub>&#x2013;SiO<sub>2</sub>&#x2013;H<sub>2</sub>O&#x2013;CO<sub>2</sub>&#x2013;S<sub>2</sub>&#x2013;O<sub>2</sub> system) and serpentinite (<xref ref-type="bibr" rid="B24">Deschamps et al., 2013</xref>) (CaO&#x2013;FeO&#x2013;MgO&#x2013;Al<sub>2</sub>O<sub>3</sub>&#x2013;SiO<sub>2</sub>&#x2013;H<sub>2</sub>O&#x2013;CO<sub>2</sub>&#x2013;S<sub>2</sub>&#x2013;O<sub>2</sub>&#x2013;Cr<sub>2</sub>O<sub>3</sub>), using Perple_X 6.9.1 (<xref ref-type="bibr" rid="B18">Connolly, 2005</xref>; <xref ref-type="bibr" rid="B40">Galvez et al., 2015</xref>, <xref ref-type="bibr" rid="B39">2016</xref>; <xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>) and the HP62/HP622 and DEW19 thermodynamic databases (<xref ref-type="bibr" rid="B47">Holland and Powell, 2011</xref>; <xref ref-type="bibr" rid="B48">Huang and Sverjensky, 2019</xref>). The DEW model enables us to calculate equilibrium between minerals, aqueous solute, and solvent species up to 6&#xa0;GPa and 1200&#xb0;C (<xref ref-type="bibr" rid="B89">Sverjensky et al., 2014</xref>; <xref ref-type="bibr" rid="B48">Huang and Sverjensky, 2019</xref>), which covers our modeling <italic>P</italic>&#x2013;<italic>T</italic> range (0.5&#x2013;6.0 GPa and 400&#x2013;1000&#xb0;C). This model is not applicable to melt, although slab melting seems likely to occur in some hot subduction zones (<xref ref-type="bibr" rid="B90">Syracuse et al., 2010</xref>; <xref ref-type="bibr" rid="B46">Hern&#xe1;ndez-Uribe et al., 2020</xref>). Here we only investigated the nature of AOC- and serpentinite-derived fluids because the oceanic crust is the volumetrically largest fluid source, and the hydrated lithospheric mantle is the major source of redox budget (<xref ref-type="bibr" rid="B32">Evans and Tomkins, 2021</xref>). Na<sub>2</sub>O and K<sub>2</sub>O were neglected in the abyssal serpentinites due to their low contents (<xref ref-type="bibr" rid="B24">Deschamps et al., 2013</xref>). Cl is a common and important component in slab-derived fluids (e.g., <xref ref-type="bibr" rid="B51">Jarrard, 2003</xref>; <xref ref-type="bibr" rid="B6">Bekaert et al., 2021</xref>). However, recent experiments suggest that the role of Cl in enhancing the solubility and mobility of carbonates and Fe<sup>3&#x2b;</sup> under subduction zone conditions is limited (<xref ref-type="bibr" rid="B79">Sanchez-Valle et al., 2017</xref>; <xref ref-type="bibr" rid="B58">Li and Wang., 2022</xref>), so we excluded Cl from the present model. The bulk compositions and solid solution models used are listed in <xref ref-type="sec" rid="s11">Supplementary Table S1 and S2</xref>, respectively. The initial oxidation state of the redox-sensitive elements (Fe, C, and S) in a system is specified by the amount of excess O<sub>2</sub> <inline-formula id="inf3">
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</inline-formula>, thus requiring the oxidation state of iron, carbon, and sulfur in AOC and serpentinite (<xref ref-type="sec" rid="s11">Supplementary Table S1</xref>) as prior knowledge. The lagged speciation algorithm (<xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>), which allows the mass balance between solids and fluids, was used to derive the electrolytic fluid speciation and concentration. For conditions where all C- or S-bearing minerals are completely dissolved, we set aq_bad_results to ignore bad results in the calculation. Moreover, we resampled those results by meemum. exe and &#x201c;interim_results&#x201d; set to true to examine if they are equal to those calculated by werami. exe (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). We considered the neutrally charged COHS (H<sub>2</sub>O, CO<sub>2</sub>, CH<sub>4,</sub> and H<sub>2</sub>S)-solvent model with a non-linear subdivision scheme. The equation of state (EoS) for H<sub>2</sub>O and CO<sub>2</sub> is Pitzer-Sterner (PS) EoS (<xref ref-type="bibr" rid="B70">Pitzer and Sterner, 1995</xref>), whereas for other solvents is the Modified Redlich Kwong (MRK) (<xref ref-type="bibr" rid="B17">Connolly and Cesare, 1993</xref>). None of the neutral C species (e.g., CO<sub>2,aq</sub>, CH<sub>4,aq</sub>, H<sub>2</sub>CO<sub>3,aq</sub>) and S species (e.g., H<sub>2</sub>S<sub>,aq</sub>, SO<sub>2,aq</sub>) were considered solutes for consistency with the use of a COHS solvent. The MgSiC<sup>&#x2b;</sup> and HFeO<sub>2</sub>
<sup>-</sup> species were also excluded because of their unrealistically high concentrations at the <italic>P</italic>&#x2013;<italic>T</italic> conditions of interest (Connolly, personal communications; <xref ref-type="bibr" rid="B66">Peng et al., 2020</xref>; <xref ref-type="bibr" rid="B84">Spranitz et al., 2022</xref>).</p>
<p>In this study, we calculated electrolytic fluid speciation by assuming both a closed and open system along the Honshu (cold subduction) and Cascadia (hot subduction) geotherms. Fluid fractionation in the open system follows the Rayleigh fractionation model (<xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>; <xref ref-type="bibr" rid="B93">Walters et al., 2020a</xref>) at about 2&#xb0;C intervals from 400&#xb0;C (where major dehydration reactions get initiated) until H<sub>2</sub>O is fully extracted from the system. The closed-system modeling does not allow fluid escape during dehydration but still provides a convenient reference for comparison (<xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>; <xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>). The two types of subduction geotherms used in this study represent a rapid convergence (8&#xa0;cm/y) of &#x223c;129 Myr old crust with a slab dip of 29<sup>o</sup> and a slow convergence (3&#xa0;cm/y) of &#x223c;7 Myr young crust with a slab dip of 20<sup>o</sup> (<xref ref-type="bibr" rid="B90">Syracuse et al., 2010</xref>), respectively. The broad <italic>P</italic>&#x2013;<italic>T</italic> conditions considered here cover a suite of subduction zone environments.</p>
</sec>
<sec id="s2-2">
<title>2.2 Redox budget fluxes (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>) calculation method</title>
<p>Although <italic>f</italic>O<sub>2</sub> is an important parameter that suggests whether the slab-derived fluids have the potential to oxidize the mantle or not, it is independent of the quantity of the redox-sensitive elements (e.g., <xref ref-type="bibr" rid="B43">Giggenbach, 1992</xref>; <xref ref-type="bibr" rid="B31">Evans, 2012</xref>). Therefore, slab fluid-related redox budget fluxes rather than <italic>f</italic>O<sub>2</sub> alone are more suitable for discussing mantle oxidation. Here, we followed the equations of <xref ref-type="bibr" rid="B27">Evans et al. (2012)</xref> to evaluate the oxidation capacity of the slab-derived fluids on the upper mantle.</p>
<p>According to the relationship between the mantle <italic>f</italic>O<sub>2</sub> and redox budget (<xref ref-type="bibr" rid="B27">Evans et al. (2012)</xref>, pp. 27), we have<disp-formula id="e1">
<mml:math id="m5">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">Q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.77</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.61</mml:mn>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the mantle redox budget in mol&#xa0;kg<sup>&#x2212;1</sup> <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> evolves as a function of time as slab fluid-related redox budget is added to the mantle during slab subduction:<disp-formula id="e2">
<mml:math id="m8">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m9">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mtext>&#x3c1;</mml:mtext>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">h</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where<inline-formula id="inf7">
<mml:math id="m10">
<mml:mrow>
<mml:mover accent="true">
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the initial mantle redox budget (0.042&#xa0;mol/kg, <xref ref-type="bibr" rid="B59">Li and Lee, 2004</xref>). <inline-formula id="inf8">
<mml:math id="m11">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
<mml:mo>&#x2d9;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the slab fluid-related redox budget flux relative to the mantle reference state (<xref ref-type="bibr" rid="B30">Evans, 2006</xref>). <inline-formula id="inf9">
<mml:math id="m12">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is time. M<sub>W</sub> is the mass of a subduction-affected mantle wedge [5.46 &#xd7; 10<sup>20</sup>&#xa0;kg, <xref ref-type="bibr" rid="B27">Evans et al. (2012)</xref>]. S is the subducted area (km<sup>2</sup>/year), &#x3c1; and h are the density (kg/m<sup>3</sup>) and thickness of subducted materials, respectively. C<sub>l</sub> is carbon and sulfur concentrations in slab-derived fluids.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Mineral assemblage evolution</title>
<p>Mineral assemblages (expressed as common rock types) of AOC and serpentinite at 0.5&#x2013;6&#xa0;GPa and 400&#x2013;1000&#xb0;C are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. Detailed labeled phase diagrams are provided in <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>. Along the cold subduction (e.g., Honshu geotherm) (<xref ref-type="fig" rid="F1">Figure 1A</xref>), lawsonite, talc, and glaucophane are the major hydrous minerals up to 670&#xb0;C (2.7&#xa0;GPa) in AOC. Carbon-bearing minerals include graphite and magnesite, stable at <italic>T</italic>&#x3c;420&#xb0;C and <italic>T</italic>&#x3c;630&#xb0;C, respectively. Pyrite is the only sulfur-bearing phase below 670&#xb0;C. Above 670&#xb0;C, the subducted AOC only contains limited H<sub>2</sub>O contents (2&#x2013;5 vol% muscovite), and all the carbon and sulfur would be incorporated into the aqueous fluid. Along the hot subducted geotherm, AOC has hydrous minerals (epidote, glaucophane, and chlorite) at temperatures lower than 780&#xb0;C (2.4&#xa0;GPa), with dolomite and pyrite as the only carbon- and sulfur-bearing phases below 680&#xb0;C. Deep subduction of AOC along both geotherms would release &#x223c;20 vol% fluids (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Diagrams showing the division of common rock types and the stability <italic>P</italic>&#x2013;<italic>T</italic> fields of carboniferous and sulfurous minerals in the AOC <bold>(A)</bold> and serpentinite <bold>(B)</bold> systems, based on <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>. Top-of-slab subduction geotherms for Honshu (cold) and Cascadia (hot) endmember models are after <xref ref-type="bibr" rid="B90">Syracuse et al. (2010)</xref>. Mineral abbreviations (<xref ref-type="bibr" rid="B97">Whitney and Evans, 2010</xref>) used in this study can be found in <xref ref-type="sec" rid="s11">Supplementary Table S2</xref>.</p>
</caption>
<graphic xlink:href="feart-10-974548-g001.tif"/>
</fig>
<p>In the serpentinite system, mineral assemblages and proportions along different geotherms are similar (<xref ref-type="fig" rid="F1">Figure 1B</xref> and <xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>), consistent with previous predictions (e.g., <xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>). The hydrous minerals of brucite, antigorite, and chlorite would dehydrate gradually with increasing temperature. Brucite converts to olivine at 480&#x2013;520&#xb0;C, where antigorite starts to dehydrate and finally transforms to olivine, orthopyroxene, and chlorite at &#x223c;630&#xb0;C. Aragonite converts to dolomite between 1.5&#xa0;GPa (hot subduction) and 2.5&#xa0;GPa (cold subduction) at &#x223c;530&#xb0;C. Dolomite would be replaced by magnesite at &#x223c;600&#xb0;C, which is close to the temperature of pyrite disappearance. All magnesite would dissolve into the aqueous fluid during antigorite breakdown, accompanied by hematite precipitation. Pyrite and anhydrite are the major sulfur-bearing phases in the serpentinite system. Pyrite is only stable at &#x3c;600&#xb0;C, whereas anhydrite can appear up to 750&#xb0;C and 4.0&#xa0;GPa in Honshu and 920&#xb0;C and 3.0&#xa0;GPa in Cascadia.</p>
</sec>
<sec id="s3-2">
<title>3.2 Electrolytic fluid speciation evolution</title>
<p>The composition and redox-sensitive speciation of carbon- and sulfur-bearing fluids equilibrated with subducted slab in a closed system are calculated using lagged speciation algorithm (<xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>) (<xref ref-type="fig" rid="F2">Figure 2</xref>). The open-system model (Rayleigh fractionation, <xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>) gives almost identical results as does the closed-system model, such similarity was also revealed by modeling for subduction zone sediment-derived fluids (<xref ref-type="bibr" rid="B19">Connolly and Galvez, 2018</xref>). <xref ref-type="fig" rid="F2">Figure 2</xref> only shows the redox-sensitive C- and S-bearing species in the fluid, other bulk composition-sensitive metal-complex species involving elements (Na, K, Mg, etc.) are available in <xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>. The major C-bearing aqueous species in the AOC-derived fluids are CO<sub>2</sub>, <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, Fe(HCOO)<sup>&#x2b;</sup>, and <inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, independent of subduction zone thermal structure. CH<sub>4</sub> only occurs at <italic>T</italic>&#x3c;&#x223c;450&#xa0;&#xb0;C (cold) or <italic>T</italic>&#x3c;&#x223c;550&#xb0;C (hot); its concentration in the Cascadia model is 10&#xa0;mmol/kg, approximately 2 orders of magnitude greater than those in the Honshu model at 450&#xb0;C (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>). The S-bearing aqueous species are HS<sup>&#x2013;</sup>-dominant at &#x3c;500&#xa0;&#xb0;C in the Honshu model or HS<sup>&#x2013;</sup>and H<sub>2</sub>S-dominant at &#x3c;580&#xb0;C in the Cascadia model. The concentrations of <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> along both geotherms drastically increase with temperature and reach a concentration level of 500&#x2013;1000, 100&#x2013;200, and 10&#x2013;100&#xa0;mmol/kg, respectively, which is 1&#x2013;2 orders of magnitude greater than those of HS<sup>&#x2013;</sup>and H<sub>2</sub>S. <inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> becomes a considerable S-bearing specie only in the fluids released by hot subducted AOC; however, its concentration decreases rapidly from 30 to 0.1&#xa0;mmol/kg beyond the subarc depths.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Concentrations of redox-sensitive carbon and sulfur species in the AOC <bold>(A, B)</bold>- and serpentinite <bold>(C, D)</bold>-derived fluids along the Honshu and Cascadia subduction geotherms in the closed system. These results are almost equal to those in the open system (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). The dashed thick line marks the subarc depths, geometrically constrained by <xref ref-type="bibr" rid="B90">Syracuse et al. (2010)</xref>.</p>
</caption>
<graphic xlink:href="feart-10-974548-g002.tif"/>
</fig>
<p>The main C-bearing species in serpentinite-derived fluids are CO<sub>2</sub>, <inline-formula id="inf16">
<mml:math id="m19">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and Fe(HCOO)<sup>&#x2b;</sup>. Their concentrations in fluids increase significantly from 0.1 to 0.3 to 200&#x2013;300, 0.3&#x2013;4 to 1&#x2013;20, and &#x3c;0.1 to 10&#x2013;20&#xa0;mmol/kg at <italic>T</italic>&#x3c;630&#xb0;C, respectively. Above 630&#xb0;C, these aqueous carbon species along both geotherms would not display significant concentration variations, though <inline-formula id="inf17">
<mml:math id="m20">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and Fe(HCOO)<sup>&#x2b;</sup> can decrease their concentrations from 10 to 1&#xa0;mmol/kg and &#x223c;1 to 0.5&#xa0;mmol/kg in the hot subduction model, respectively. <inline-formula id="inf18">
<mml:math id="m21">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> only occurs in the cold subduction model and has a low concentration of &#x3c;0.3&#xa0;mmol/kg at forearc to subarc depths (<xref ref-type="fig" rid="F2">Figure 2C</xref>). The S-bearing aqueous species in serpentinite-derived fluids are complex and include CaSO<sub>4,aq</sub>, <inline-formula id="inf19">
<mml:math id="m22">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, HS<sup>&#x2013;</sup>, H<sub>2</sub>S, <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf21">
<mml:math id="m24">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. HS<sup>&#x2013;</sup>and H<sub>2</sub>S only appear at forearc depths, whereas the <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> concentrations increase towards subarc depths. In the Honshu model, CaSO<sub>4,aq</sub> concentrations decrease significantly from 1000 to 7&#xa0;mmol/kg in the forearc region but increase beyond subarc depths (<xref ref-type="fig" rid="F2">Figure 2C</xref>). In the Cascadia model, CaSO<sub>4,aq</sub> concentrations are relatively low (&#x223c;0.4&#xa0;mmol/kg) and this specie is restricted to forearc depths (<xref ref-type="fig" rid="F2">Figure 2D</xref>). <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> has an overall constant concentration of &#x223c;20&#xa0;mmol/kg in the Honshu model but variable concentrations of 0.4&#x2013;8&#xa0;mmol/kg in the Cascadia model.</p>
<p>Although reduced species such as CH<sub>4</sub>, HS<sup>&#x2013;</sup>, H<sub>2</sub>S and <inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> could reach significant concentrations of &#x3e;10&#xa0;mmol/kg in fluids at forearc depths, the oxidized species such as CO<sub>2</sub>, <inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> become dominated in subarc fluids.</p>
</sec>
<sec id="s3-3">
<title>3.3 Oxygen fugacity of slab-derived fluids during subduction</title>
<p>Oxygen fugacity (<italic>f</italic>O<sub>2</sub>), the most common variable used to quantify the redox state of slab-derived fluids, is reflected by the above-mentioned redox-sensitive species. Notably, the <italic>f</italic>O<sub>2</sub> values of slab-derived fluids in open and closed systems do not show significant differences (<xref ref-type="fig" rid="F3">Figure 3</xref>). Overall, the AOC- and serpentinite-derived fluids along different geotherms exhibit similar <italic>f</italic>O<sub>2</sub> patterns from forearc to subarc depths. Compared to the fayalite&#x2013;magnetite&#x2013;quartz (FMQ) buffer, AOC-derived fluids have positive &#x223c;&#x25b3;FMQ increasing towards subarc depths (<xref ref-type="fig" rid="F3">Figures 3A,B</xref>). The <italic>f</italic>O<sub>2</sub> values of the serpentinite-derived fluids are almost constant (&#x223c;&#x25b3;FMQ&#x2b;2) at <italic>T</italic>&#x3c;&#x223c;600&#x2013;610&#xb0;C and sharply increase by 1.5&#x2013;2 log units at &#x223c;630&#xa0;&#xb0;C accompanied by solid C-S-bearing phase transition and hydrous mineral dehydration (<xref ref-type="fig" rid="F3">Figures 3C,D</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<italic>f</italic>O<sub>2</sub> of AOC <bold>(A, B)</bold>- and serpentinite <bold>(C, D)</bold>-derived fluids calculated along Honshu and Cascadia geotherms by assuming a closed (solid black line) and open system (dashed yellow line), respectively. &#x25b3;FMQ &#x3d; log<sub>10</sub>
<italic>f</italic>O<sub>2</sub>&#x2014;log<sub>10</sub>
<italic>f</italic>O<sub>2,FMQ</sub> where FMQ is the fayalite-magnetite-quartz buffer. The stability boundaries of key hydrous minerals and solid C- and S-bearing phases are shown for reference.</p>
</caption>
<graphic xlink:href="feart-10-974548-g003.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 Influence of redox budget on the <italic>f</italic>O<sub>2</sub> of slab-derived fluids</title>
<p>Redox budget (RB), a parameter featuring the initial redox state of subducted materials before subduction, refers to the total number of transferred electrons among the multivalent elements such as iron, carbon, and sulfur (<xref ref-type="bibr" rid="B31">Evans, 2012</xref>) relative to a reference state. It can affect fluid speciation (<xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>; <xref ref-type="bibr" rid="B93">Walters et al., 2020a</xref>) and the <italic>f</italic>O<sub>2</sub> of slab-derived fluids. In this study, we used the equation of <xref ref-type="bibr" rid="B30">Evans (2006)</xref> RB <inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>(</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="normal">3</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>)</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="normal">4</mml:mn>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mrow>
<mml:mn mathvariant="normal">4</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="normal">0</mml:mn>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>(</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn mathvariant="normal">2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>)</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>(</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>)</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:mn mathvariant="normal">8</mml:mn>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mo>(</mml:mo>
<mml:msup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mrow>
<mml:mn mathvariant="normal">6</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>, for a reference state of Fe as Fe<sup>2&#x2b;</sup>, C as C<sup>0</sup>, and S as S<sup>2-</sup>) to adjust the RB values of AOC and serpentinite. To better understand the effects of bulk RB on the <italic>f</italic>O<sub>2</sub> of slab-derived fluids, we calculated a set of <italic>T</italic>/<italic>P</italic>-RB pseudosections (See <xref ref-type="sec" rid="s11">Supplementary Figure S6</xref> for details) along the Honshu and Cascadia subduction geotherms, as well as &#x25b3;FMQ isopleths, in the AOC and serpentinite systems (<xref ref-type="fig" rid="F4">Figure 4</xref>). Our results show that slab-derived fluids have a large <italic>f</italic>O<sub>2</sub> range, spanning from &#x25b3;FMQ&#x2b;0 to &#x25b3;FMQ&#x2b;6 in AOC and from &#x25b3;FMQ&#x2013;6.5 to &#x25b3;FMQ&#x2b;4.5 in serpentinite. The &#x25b3;FMQ isopleths exhibit vertical S-shaped patterns across the diagram, implying that the fluid <italic>f</italic>O<sub>2</sub> is mainly controlled by the RB of subducted reservoirs. Given a fixed RB for AOC (11.63) and MORB (9.37), the subduction of these rocks can increase the fluid <italic>f</italic>O<sub>2</sub> by 1.5&#x2013;2 log units (<xref ref-type="fig" rid="F4">Figures 4A,B</xref>). However, the <italic>f</italic>O<sub>2</sub> of serpentinite-derived fluid can increase significantly during subduction at low RB and temperature conditions (<xref ref-type="fig" rid="F4">Figures 4C,D</xref>). The fluid <italic>f</italic>O<sub>2</sub> differences induced by subduction zone thermal structure are generally less than 1 log unit for the same reservoir (<xref ref-type="fig" rid="F4">Figures 4A&#x2013;D</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<italic>T/P</italic>-RB pseudosections showing the <italic>f</italic>O<sub>2</sub> variations of the AOC <bold>(A, B)</bold>- and serpentinite <bold>(C, D)</bold>-derived fluids along the Honshu and Cascadia geotherms. RB in AOC is a function of n (Fe<sup>3&#x2b;</sup>), mol, varying from 9.37 (X<sub>Fe3&#x2b;</sub>&#x3d;0.1, MORB) to 18.16 (X<sub>Fe3&#x2b;</sub>&#x3d;0.8) (<xref ref-type="bibr" rid="B77">Rutter, 2015</xref>) with fixed C and S contents (<xref ref-type="bibr" rid="B85">Staudigel et al., 1989</xref>; <xref ref-type="bibr" rid="B31">Evans, 2012</xref>). RB in serpentinite was adjusted by fixed contents of iron, carbon, and sulfur but with variable valence state (<xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>), varying from 0.00 (assuming C is C<sup>0</sup>, Fe is Fe<sup>2&#x2b;</sup> and S is S<sup>2-</sup>) to 12.82 (X<sub>Fe3&#x2b;</sub>&#x3d;1 with fixed carbon and sulfur speciation from <xref ref-type="bibr" rid="B2">Alt et al. (2012)</xref> and <xref ref-type="bibr" rid="B31">Evans (2012)</xref>). The stars represent the reference RBs of MORB (9.37) and AOC (11.63) and the averaged serpentinite (9.03).</p>
</caption>
<graphic xlink:href="feart-10-974548-g004.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Comparison with natural and experimental records for electrolytic fluid speciation</title>
<p>Our new models show that, with increasing PT conditions, the deep subduction-zone fluids are gradually dominated by oxidized carbon (CO<sub>2</sub>, <inline-formula id="inf32">
<mml:math id="m35">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf33">
<mml:math id="m36">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) and sulfur species (<inline-formula id="inf34">
<mml:math id="m37">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf36">
<mml:math id="m39">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="fig" rid="F2">Figure 2</xref>), regardless of the subduction-zone thermal structure and open/closed system behavior (<xref ref-type="fig" rid="F2">Figure 2</xref>, <xref ref-type="sec" rid="s11">Supplementary Figures S7, S8, S4</xref>). This prediction is broadly consistent with the oxidized C-S species commonly observed in fluid inclusions from HP metamorphic rocks (<xref ref-type="bibr" rid="B80">Scambelluri and Philippot, 2001</xref>; <xref ref-type="bibr" rid="B36">Frezzotti and Ferrando, 2015</xref>). In addition, our results also suggest that Fe(HCOO)<sup>&#x2b;</sup> can reach a concentration of more than 1&#x2013;10&#xa0;mmol/kg, which is consistent with the abiotic species observed in the solubility experiments of eclogite and peridotites (<xref ref-type="bibr" rid="B48">Huang and Sverjensky, 2019</xref>).</p>
<p>Our calculated results can also explain different fluid inclusions observed in different UHP oceanic eclogites from cold subduction zones, such as those from the western Alps and southwestern Tianshan. The former contains oxidized C and S species (<inline-formula id="inf37">
<mml:math id="m40">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf38">
<mml:math id="m41">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>3</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf39">
<mml:math id="m42">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="bibr" rid="B37">Frezzotti et al., 2011</xref>), the latter consists of reduced CH<sub>4</sub> and H<sub>2</sub> (<xref ref-type="bibr" rid="B91">Tao et al., 2018</xref>) or H<sub>2</sub>S and HS<sup>&#x2013;</sup> (<xref ref-type="bibr" rid="B57">Li et al., 2020</xref>). The oxidized C-S species in the Alps samples could be attributed to the elevated oxidation (high RB) of subducted AOC before subduction (<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>). However, abundant sulfide minerals in the Tianshan eclogites can lead to a low RB (<xref ref-type="bibr" rid="B56">Li et al., 2016</xref>), which would result in AOC-derived fluids dominated by reduced species of H<sub>2</sub>S and HS<sup>&#x2013;</sup> (<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>).</p>
<p>Low-<italic>P</italic> experiments indicate that <inline-formula id="inf40">
<mml:math id="m43">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is an important specie enhancing the enrichment of soft metals (Au, Cu, and Mo) in arc magmas (<xref ref-type="bibr" rid="B73">Pokrovski and Dubrovinsky, 2011</xref>; <xref ref-type="bibr" rid="B72">Pokrovski and Dubessy, 2015</xref>). However, the behavior of this species under HP conditions was not constrained in previous modeling works (<xref ref-type="bibr" rid="B93">Walters et al., 2020a</xref>; <xref ref-type="bibr" rid="B28">Evans and Frost, 2021</xref>). We predict that <inline-formula id="inf41">
<mml:math id="m44">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> in AOC-derived fluids becomes significantly abundant in hot subduction zones (<xref ref-type="fig" rid="F2">Figure 2B</xref>), and can be stable under moderate <italic>f</italic>O<sub>2</sub> conditions (&#x25b3;FMQ&#x2b;1 to &#x25b3;FMQ&#x2b;2) at subarc depths (<xref ref-type="fig" rid="F4">Figures 4B</xref>,<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>). These predictions are consistent with the formation of large porphyry Cu-Au ore deposits commonly triggered by hot subduction processes (<xref ref-type="bibr" rid="B20">Cooke et al., 2005</xref>; <xref ref-type="bibr" rid="B88">Sun et al., 2010</xref>; <xref ref-type="bibr" rid="B99">Zhang et al., 2017</xref>).</p>
<p>Methane (CH<sub>4</sub>) is a critical carbon specie in subduction zone fluids. CH<sub>4</sub>-bearing fluid inclusions were discovered in oceanic eclogites and HP ophicarbonates from the southwestern Tianshan (<xref ref-type="bibr" rid="B91">Tao et al., 2018</xref>; <xref ref-type="bibr" rid="B66">Peng et al., 2020</xref>), HP-LT ophicarbonates from the western Alps (<xref ref-type="bibr" rid="B10">Brovarone et al., 2017</xref>, <xref ref-type="bibr" rid="B11">2020</xref>) and the Alpine Corsica (<xref ref-type="bibr" rid="B41">Galvez et al., 2013</xref>; <xref ref-type="bibr" rid="B11">Brovarone et al., 2020</xref>), and metamorphosed harzburgite from the North Qilian HP-LT metamorphic belt (<xref ref-type="bibr" rid="B83">Song et al., 2009</xref>). All these findings indicate that abiotic CH<sub>4</sub> may be common in the forearc region of oceanic subduction zones. Our models show that the AOC-derived fluids would have abiotic CH<sub>4</sub> species at forearc depths (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>), and low RB values of AOC favor the CH<sub>4</sub> production (<xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>). In addition, subducted serpentinite with low RB values can also release considerable CH<sub>4</sub> (<xref ref-type="sec" rid="s11">Supplementary Figure S8</xref>). Previous studies only considered cold subduction zones as the key reservoir of abiotic methane (e.g., <xref ref-type="bibr" rid="B100">Zhang et al., 2022</xref>), according to the natural HP-LT sample record in cold oceanic subduction zones. The CH<sub>4</sub> production in hot subduction zones is still enigmatic due to the scarcity of exhumed HP rocks in these environments. Our models predict that, at forearc depths, hot subduction zones with low RB can produce more CH<sub>4</sub> than cold subduction zones (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>). Therefore, the forearc regions of hot subduction zones could also be a potentially key production factory of methane, which needs to be considered further during evaluating methane flux in global subduction zones.</p>
</sec>
<sec id="s4-2">
<title>4.2 On the <italic>f</italic>O<sub>2</sub> of slab-derived fluids at forearc to subarc depths</title>
<p>It has been long proposed that AOC-derived fluids have high <italic>f</italic>O<sub>2</sub> because of high Fe<sup>3&#x2b;</sup> content relative to sediments and serpentinites (<xref ref-type="bibr" rid="B27">Evans et al., 2012</xref>). However, this is challenged by the low solubility of Fe<sup>3&#x2b;</sup> in aqueous fluids, as revealed by several experiments (<xref ref-type="bibr" rid="B81">Simon et al., 2004</xref>; <xref ref-type="bibr" rid="B79">Sanchez-Valle et al., 2017</xref>). Our results suggest that the <italic>f</italic>O<sub>2</sub> of slab fluids is largely controlled by the RB values of the protoliths of subducted materials (<xref ref-type="fig" rid="F4">Figure 4</xref>). Subducted MORB or sulfide-rich AOC (RB &#x2264;9.37) could release reduced fluids (<italic>f</italic>O<sub>2</sub> below or near &#x25b3;FMQ) equilibrated with pyrite at forearc to subarc depths (<xref ref-type="fig" rid="F4">Figures 4A</xref>,<xref ref-type="sec" rid="s11">Supplementary Figure S7A</xref>). This prediction matches petrological records in the Tianshan pyrite-rich eclogites and HP veins (<xref ref-type="bibr" rid="B56">Li et al., 2016</xref>, <xref ref-type="bibr" rid="B57">2020</xref>; <xref ref-type="bibr" rid="B91">Tao et al., 2018</xref>). With higher RB (&#x3e;11.63), AOC-derived fluids are highly oxidized (&#x25b3;FMQ&#x2b;2 to &#x25b3;FMQ&#x2b;6), broadly consistent with the high <italic>f</italic>O<sub>2</sub> records in oceanic eclogites from North Qilian (&#x25b3;FMQ&#x2b;0 to &#x2b;4, <xref ref-type="bibr" rid="B12">Cao et al., 2011</xref>), Songduo in southern Tibet (&#x25b3;FMQ&#x2b;2, <xref ref-type="bibr" rid="B61">Liu et al., 2016</xref>), and Syros in Greece (&#x25b3;FMQ&#x2b;2 to &#x2b;4, <xref ref-type="bibr" rid="B94">Walters et al., 2020b</xref>). Moreover, the <italic>f</italic>O<sub>2</sub> of AOC-derived fluids from forearc to subarc depths can increase by 2&#x2013;2.5 log units during dehydration (<xref ref-type="fig" rid="F3">Figures 3A,B</xref>), further implying that deep subduction AOC-derived fluids are oxidized.</p>
<p>The <italic>f</italic>O<sub>2</sub> of serpentinite-derived fluids is indicated to have a wide range of &#x25b3;FMQ&#x2013;4 to &#x25b3;FMQ&#x2b;5 (e.g., <xref ref-type="bibr" rid="B67">Peretti et al., 1992</xref>; <xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>; <xref ref-type="bibr" rid="B23">Debret and Sverjensky, 2017</xref>), which is broadly consistent with our modeled results (<xref ref-type="fig" rid="F4">Figures 4C,D</xref>). Such large variations most likely result from heterogeneous pre-subduction redox states in serpentinites (RB&#x3d;2.14&#x2013;12.82) (<xref ref-type="bibr" rid="B29">Evans and Powell, 2015</xref>). For example, at low RB (&#x3c;4.81) conditions, serpentinite-derived fluids are in equilibrium with iron and pyrrhotite (<xref ref-type="sec" rid="s11">Supplementary Figure S6</xref>) and have <italic>f</italic>O<sub>2</sub> ranging from &#x25b3;FMQ&#x2013;6.5 to &#x25b3;FMQ&#x2013;2.5&#xa0;at &#x3c;500&#xb0;C, which is supported by the presence of reduced phases (awaruite, native copper, pyrrhotite, etc.) in some serpentinites (<xref ref-type="bibr" rid="B38">Frost, 1985</xref>; <xref ref-type="bibr" rid="B67">Peretti et al., 1992</xref>; <xref ref-type="bibr" rid="B41">Galvez et al., 2013</xref>). Our results also show that the dehydration of antigorite, accompanied with the breakdown of pyrite, would release oxidized fluids equilibrated with hematite and anhydrite with a <italic>f</italic>O<sub>2</sub> increase by 2 log units (from &#x25b3;FMQ&#x2b;2 to &#x25b3;FMQ&#x2b;4) (<xref ref-type="fig" rid="F3">Figures 3C,D</xref>). This is supported by the presence of hematite in subducted serpentinites (e.g., <xref ref-type="bibr" rid="B38">Frost, 1985</xref>; <xref ref-type="bibr" rid="B4">Bach et al., 2004</xref>; <xref ref-type="bibr" rid="B22">Debret et al., 2015</xref>) and experimental products (<xref ref-type="bibr" rid="B64">Maurice et al., 2020</xref>).</p>
<p>Our modeling results indicate that the <italic>f</italic>O<sub>2</sub> of slab-derived fluids is controlled by not only Fe<sup>3&#x2b;</sup> but also redox-sensitive C-S species in the slab. Therefore, the RB of the subducted slab is the first-order factor affecting the oxygen fugacity of slab fluids. Subduction zone thermal structure has little influence on the <italic>f</italic>O<sub>2</sub> of slab-derived fluids, with variation generally below 1 log unit at fixed RB (<xref ref-type="fig" rid="F4">Figure 4</xref>). This variation is much smaller than the petrological observations in oceanic eclogites and serpentinites.</p>
</sec>
<sec id="s4-3">
<title>4.3 Implications for mantle oxidation</title>
<p>To evaluate whether the oxidized fluids from dehydrating AOC and serpentinite can oxidize the subarc mantle or not, <xref ref-type="disp-formula" rid="e1">Eqs 1.</xref> and <xref ref-type="disp-formula" rid="e2">2</xref>, and <xref ref-type="disp-formula" rid="e3">3</xref> were used to estimate C- and S-related oxidation fluxes released by subducted slab and timescales for mantle oxidation. We assumed a subducted area of 2.45&#xa0;km<sup>2</sup>/year (<xref ref-type="bibr" rid="B51">Jarrard, 2003</xref>) and densities of 3000&#xa0;kg/m<sup>3</sup> for AOC (<xref ref-type="bibr" rid="B6">Bekaert et al., 2021</xref>) and 2800&#xa0;kg/m<sup>3</sup> for serpentinite (<xref ref-type="bibr" rid="B25">Duan et al., 2022</xref>) with different thicknesses (<xref ref-type="fig" rid="F5">Figure 5</xref>) in the calculation. Our results show that AOC- and serpentinite-related oxidation fluxes to subarc mantle are 18.6&#x2013;43.3 &#xd7; 10<sup>12</sup>&#xa0;mol/year and 0.67&#x2013;7.64 &#xd7; 10<sup>12</sup>&#xa0;mol/year for cold subduction and 21.3&#x2013;49.8 &#xd7; 10<sup>12</sup>&#xa0;mol/year and 0.45&#x2013;5.13 &#xd7; 10<sup>12</sup>&#xa0;mol/year for hot subduction. With such oxidation fluxes, the mantle <italic>f</italic>O<sub>2</sub> can be elevated by one to two log units on a timescale of less than 1&#x2013;10&#xa0;Ma. Therefore, the oxidized C-S species in the fluids are expected to oxidize Fe<sup>2&#x2b;</sup> in the mantle wedge (<xref ref-type="bibr" rid="B55">Kelley and Cottrell, 2009</xref>), which is responsible for the &#x25b3;FMQ to &#x25b3;FMQ&#x2b;3 range in <italic>f</italic>O<sub>2</sub> reported from subarc peridotite xenoliths (<xref ref-type="bibr" rid="B5">Ballhaus, 1993</xref>; <xref ref-type="bibr" rid="B65">Parkinson and Arculus, 1999</xref>; <xref ref-type="bibr" rid="B68">Peslier et al., 2002</xref>; <xref ref-type="bibr" rid="B27">Evans et al., 2012</xref>). The occurrence of anhydrite and <inline-formula id="inf42">
<mml:math id="m45">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>-bearing inclusions in arc peridotite xenoliths (<xref ref-type="bibr" rid="B7">B&#xe9;nard et al., 2018</xref>) also reflects the oxidized fluids penetrating the subarc mantle. Recent investigations on the Mariana arc lavas revealed that the subarc mantle gradually becomes oxidized and increases its <italic>f</italic>O<sub>2</sub> from typical mantle values (&#x25b3;FMQ&#x2013;1 to 0) during subduction initiation to &#x25b3;FMQ&#x2265;1 after around 2&#x2013;4&#xa0;Ma subduction (<xref ref-type="bibr" rid="B9">Brounce et al., 2015</xref>). This implies that the sub-arc mantle is oxidized over the most lifetime of subduction.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Calculated evolution of mantle log<italic>f</italic>O<sub>2</sub> relative to FMQ with time for the oxidation flux input from subducted AOC (<bold>(A)</bold>, cold) and serpentinite (<bold>(B)</bold>, blue) in the open system. Grey box is the initial mantle <italic>f</italic>O<sub>2</sub>. The numbers in box represent C-and S-related oxidation fluxes (&#xd7; 10<sup>12</sup>&#xa0;mol/year) released by subducted slab. Different layer thicknesses of AOC and serpentinite are after <xref ref-type="bibr" rid="B96">White and Klein. (2014)</xref> and <xref ref-type="bibr" rid="B31">Evans (2012)</xref>, respectively.</p>
</caption>
<graphic xlink:href="feart-10-974548-g005.tif"/>
</fig>
<p>Our results show that subduction zone thermal structure has limited influence on the <italic>f</italic>O<sub>2</sub> of slab-derived fluids. This prediction can be further tested by arc lavas from global cold and hot subduction zones (<xref ref-type="bibr" rid="B21">Cottrell et al., 2021</xref>), both of which show similar <italic>f</italic>O<sub>2</sub> average values (1.02&#xb1;0.45 and 1.23&#xb1;0.63) and ranges mostly spanning from &#x25b3;FMQ to &#x25b3;FMQ&#x2b;3 (<xref ref-type="sec" rid="s11">Supplementary Figure S9</xref>). The input of heterogeneous RB materials into subduction zones might also contribute to the large <italic>f</italic>O<sub>2</sub> variations (up to 3 log units) in the same arc lavas, such as Marianas and Altiplano.</p>
<p>For a long-term geological timescale, the atmospheric O<sub>2</sub> concentration was significantly increased from less than 1% to the present atmospheric level during the Ediacaran (a so-called Neoproterozoic Great Oxidation Event) (<xref ref-type="bibr" rid="B62">Lyons et al., 2014</xref>), which would have increased the oxidation state and redox budget of the pre-subduction slab. This is further supported by the elevated seawater sulfate during this period (<xref ref-type="bibr" rid="B33">Farquhar et al., 2010</xref>). After the Neoproterozoic Great Oxidation Event, the input of high RB materials into subduction zones likely induced slab fluid oxidation (<xref ref-type="fig" rid="F4">Figure 4</xref>). These oxidized agents were progressively introduced into and interacted with the subarc mantle, producing high-<italic>f</italic>O<sub>2</sub> arc magmas and potentially generating porphyry Cu deposits (PCDs) (<xref ref-type="bibr" rid="B75">Richards, 2015</xref>; <xref ref-type="bibr" rid="B87">Sun et al., 2015</xref>). This may be one of the key mechanisms to explain why most PCDs were formed at &#x3c;550&#xa0;Ma (<xref ref-type="bibr" rid="B60">Liu et al., 2020</xref>).</p>
</sec>
<sec id="s4-4">
<title>4.4 Implications for deep C-S cycle in subduction zones</title>
<p>Based on averaged carbon and sulfur concentrations in AOC and serpentinites (<xref ref-type="bibr" rid="B85">Staudigel et al., 1989</xref>; <xref ref-type="bibr" rid="B2">Alt et al., 2012</xref>; <xref ref-type="bibr" rid="B31">Evans, 2012</xref>; <xref ref-type="bibr" rid="B6">Bekaert et al., 2021</xref>), our models can provide important constraints on the deep C-S cycle in subduction zones (<xref ref-type="fig" rid="F6">Figure 6</xref>). Assuming a closed system, all carbon- and sulfur-rich phases in AOC and serpentinites would be dissolved into aqueous fluids during deep subduction beyond &#x223c;3&#xa0;GPa. The closed system in subduction zones may be occasional and temporary but exists, as supported by some <italic>in situ</italic> HP vugs in oceanic eclogites (<xref ref-type="bibr" rid="B3">Angiboust and Raimondo, 2022</xref>). Subduction of the fully C-S-dissolved fluids enclosed within the slab could deliver carbon and sulfur into the deep mantle beyond subarc depths. However, for most cases, releasing fluids proceeded as an open system, which is indicated by the common occurrence of HP-veins penetrating eclogites and mantle wedge rocks (e.g., <xref ref-type="bibr" rid="B44">Guo et al., 2012</xref>; <xref ref-type="bibr" rid="B71">Pl&#xfc;mper et al., 2017</xref>; <xref ref-type="bibr" rid="B8">Bloch et al., 2018</xref>). For an open system, most of carbon (&#x3e;70%) and sulfur (&#x3e;50%) in cold subducted AOC and serpentinites would be incorporated into aqueous fluids, which could deliver such components into the overlying mantle wedge and arc lavas (<xref ref-type="fig" rid="F6">Figures 6A,C</xref>). In addition, subducted sediments may lose &#x3e;40&#x2013;65% of carbon and sulfur to the subarc mantle during subduction (<xref ref-type="bibr" rid="B57">Li et al., 2020</xref>; <xref ref-type="bibr" rid="B86">Stewart and Ague, 2020</xref>; <xref ref-type="bibr" rid="B14">Chen et al., 2021</xref>). Therefore, most subducted carbon and sulfur would complete their deep journey at subarc depths, confirming the arc system as a key region for C-S recycling (<xref ref-type="bibr" rid="B18">Connolly, 2005</xref>; <xref ref-type="bibr" rid="B54">Kelemen and Manning, 2015</xref>; <xref ref-type="bibr" rid="B35">Foley and Fischer, 2017</xref>; <xref ref-type="bibr" rid="B57">Li et al., 2020</xref>). However, the hot subducted AOC and serpentinites will lose all carbon and sulfur (except for serpentinite sulfur) at depths shallower than 70&#xa0;km in the case of behaving as an open system for the fluids. (<xref ref-type="fig" rid="F6">Figures 6B,D</xref>). Therefore, the closed-system subduction and open-system cold subduction can transport carbon and sulfur into the deep mantle beyond subarc depths. Besides, the heterogeneous composition (<xref ref-type="bibr" rid="B34">Farsang et al., 2021</xref>) and redox state (<xref ref-type="sec" rid="s11">Supplementary Figures S6A, C</xref>) of carbon and sulfur in subducted slab may be also helpful for deep C-S cycling. These deep subducted carbon and sulfur would contribute to the volatile-rich mantle source of deep-seated magmas (<xref ref-type="bibr" rid="B13">Chalapathi Rao and Lehmann, 2011</xref>; <xref ref-type="bibr" rid="B78">Sakuyama et al., 2013</xref>) and the formation of superdeep diamonds with sulfide inclusions (<xref ref-type="bibr" rid="B53">Kaminsky, 2012</xref>; <xref ref-type="bibr" rid="B82">Smith et al., 2016</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Plots of carbon and sulfur loss (carbon loss/initial carbon concentrations and sulfur loss/initial sulfur concentrations) calculated along the Honshu <bold>(A,C)</bold> and Cascadia geotherms <bold>(B,D)</bold>. The colored lines represent AOC (pink) and serpentinite (blue) systems by assuming a closed (solid line) and open (dashed line) system, respectively.</p>
</caption>
<graphic xlink:href="feart-10-974548-g006.tif"/>
</fig>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>Thermodynamic modeling results reveal that subducted AOC and serpentinite can produce oxidizing fluids with oxidized carbon-sulfur species and high <italic>f</italic>O<sub>2</sub>. Moreover, the redox species and <italic>f</italic>O<sub>2</sub> of slab-derived fluids are mainly controlled by the redox budget of the slab before subduction but only slightly influenced by subduction-zone thermal structure. Our predictions are consistent with the petrographic and <italic>f</italic>O<sub>2</sub> records from exhumed high-pressure rocks, experiments, and arc lavas. Further slab fluid-related oxidation fluxes and mass balance calculations suggest that those fluids with high <italic>f</italic>O<sub>2</sub> can effectively oxidize the subarc mantle over geological timescales. Subducted AOC and serpentinite would lose most of carbon and sulfur to the subarc mantle, which hinders carbon-sulfur cycling in the deeper mantle.</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 author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>YC contributed to the conception and design of the study. Y-BL performed the modeling work. YC, Y-BL, BS, Q-HZ, and K-HS interpreted the data. Y-BL and YC wrote the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was funded by the National Natural Science Foundation of China (No. 42172064, 41822202).</p>
</sec>
<ack>
<p>We thank James Connolly for the discussion on aqueous fluid modeling. Critical reviews by Andrea Maffeis and Penglei Liu and editorial handling by Simona Ferrando helped to improve the manuscript.</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.2022.974548/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2022.974548/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>
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