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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">1401624</article-id>
<article-id pub-id-type="doi">10.3389/feart.2024.1401624</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>Coupling noble gas and alkane gas isotopes to constrain normally pressured shale gas expulsion in SE Sichuan Basin, China</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.2024.1401624">10.3389/feart.2024.1401624</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Jiaxin</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2688154/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Yunhai</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fang</surname>
<given-names>Dazhi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wen</surname>
<given-names>Zhigang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wu</surname>
<given-names>Chenjun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2687279/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Hubei Key Laboratory of Petroleum Geochemistry and Environment</institution>, <institution>Yangtze University</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Sinopec East China Oil and Gas Company</institution>, <addr-line>Nanjing</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/2528850/overview">Wenguang Wang</ext-link>, Northeast Petroleum University, China</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/1777391/overview">Mianmo Meng</ext-link>, China University of Geosciences Wuhan, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1987802/overview">Chao Li</ext-link>, Northwest Institute of Eco-Environment and Resources (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Chenjun Wu, <email>chenjun.wu@yangtzeu.edu.cn</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>07</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1401624</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>06</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Li, Wang, Fang, Wen and Wu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Li, Wang, Fang, Wen and Wu</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 molecular and isotopic compositions of shale gases exhibit substantial differences under different storage conditions. Gas geochemistry is widely used when evaluating gas accumulation and expulsion in petroleum systems. Gas geochemical characteristics can provide important references for determining the enrichment mechanism of shale gas reservoirs and predicting shale gas production capacity in different regions. In tectonically stable regions with similar reservoir formation and evolution histories, shale gas reservoirs are expected to exhibit favorable storage conditions with only relatively small variations in gas geochemical characteristics. In tectonically active regions, shale gas preservation conditions are expected to be more variable. In this study, we systematically analyzed the stable isotope signatures (&#x3b4;<sup>13</sup>C and &#x3b4;D) of alkane gases (CH<sub>4</sub>, C<sub>2</sub>H<sub>6</sub>, and C<sub>3</sub>H<sub>8</sub>), along with noble gas compositions and isotopic signatures, of normally pressured Wufeng&#x2012;Longmaxi marine shale gas samples comprising a continuous pressure coefficient series from a structurally active region at the transition between an orogenic belt and the southeastern (SE) Sichuan Basin, China. The relationships between noble gas contents, isotopic signatures, and shale gas yields were evaluated, and a mechanism for normally pressured shale gas accumulation and expulsion was presented. The &#x3b4;<sup>13</sup>C and &#x3b4;D data suggest that the normally pressured shale gas originated from late-mature thermogenic generation, equivalent to shale gas from other production areas in the inner Sichuan Basin. Gas dryness ratios [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] exhibit negative relationships with &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub>. Normally pressured shale gas yields exhibit a negative correlation with &#x3b4;<sup>13</sup>C and a positive correlation with [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)], suggesting differences in shale gas accumulation and expulsion across the studied region related to changes in the pressure coefficient. Noble gas isotope data suggest that the normally pressured Longmaxi shale gas received a substantial contribution of crust-derived He. Coupling noble gas and stable C/H isotope data reveals that the abundance of He and Ar, along with the &#x3b4;<sup>13</sup>C signatures of alkane gases, is affected by the abundance of shale gas during the accumulation and expulsion process. The noble gas and stable isotope distribution trends presented herein can be used to evaluate Wufeng&#x2012;Longmaxi&#x2019;s normally pressured shale gas accumulation and expulsion in complex structural areas of the southeastern Sichuan Basin. Better preservation conditions accompanying lower tectonic activity will normally result in higher shale gas production and a lower concentration of noble gases. The above findings show that gas geochemical characteristics could be used as effective evaluation indicators for determining shale gas accumulation mechanisms in tectonically active regions.</p>
</abstract>
<kwd-group>
<kwd>normally pressured shale gas</kwd>
<kwd>noble gas</kwd>
<kwd>carbon isotope</kwd>
<kwd>accumulation</kwd>
<kwd>expulsion</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Geochemistry</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Gas geochemical characteristics are important tools for studying the formation mechanism of natural gas reservoirs. The fractionation of alkane gas carbon isotopes in natural gas, owing to mass transport, is widely used to identify genetic types of natural gas, as well as oil and gas source correlation and alteration processes (<xref ref-type="bibr" rid="B44">Schoell, 1988</xref>; <xref ref-type="bibr" rid="B51">Whiticar, 1996</xref>; <xref ref-type="bibr" rid="B54">Xia and Tang, 2012</xref>). Owing to chemical inertness, noble gases are not impacted by secondary chemical processes, no matter whether the chemical reactions are inorganic or organic (<xref ref-type="bibr" rid="B40">Ozima and Podosek, 2017</xref>; <xref ref-type="bibr" rid="B5">Byrne et al., 2018</xref>). Noble gas isotope data have been widely used as important gas tracers for a variety of subsurface fluid transport processes in petroleum systems (<xref ref-type="bibr" rid="B59">Zhou et al., 2012</xref>; <xref ref-type="bibr" rid="B4">Burnard et al., 2013</xref>; <xref ref-type="bibr" rid="B48">Wang et al., 2013</xref>; <xref ref-type="bibr" rid="B7">Byrne et al., 2017</xref>; <xref ref-type="bibr" rid="B6">Byrne et al., 2020</xref>; <xref ref-type="bibr" rid="B56">Zhang et al., 2019</xref>).</p>
<p>Shale gas is considered a notable discovery in terms of natural gas exploration in the Sichuan Basin, given its great resource potential (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>; <xref ref-type="bibr" rid="B60">Zou et al., 2015</xref>; <xref ref-type="bibr" rid="B14">Dong et al., 2016</xref>). Multiple exploration breakthroughs have been achieved in the Sichuan Basin, with the discovery of several very large shale gas fields, including Fuling, Weiyuan, Weirong, and Zhaotong (<xref ref-type="bibr" rid="B27">Jiang et al., 2020</xref>; <xref ref-type="bibr" rid="B33">Ma et al., 2020</xref>; <xref ref-type="bibr" rid="B42">Qiu et al., 2020</xref>; <xref ref-type="bibr" rid="B57">Zhao et al., 2020</xref>; <xref ref-type="bibr" rid="B61">Zou et al., 2021</xref>). The aforementioned successful shale gas fields have all targeted deep and high/over-pressured shale layers at depths &#x3e;2000 m and pressure coefficients &#x3e;1.3. In contrast, orogenic processes have caused Wufeng&#x2012;Longmaxi shale to be markedly uplifted in Sichuan Basin&#x2013;margin transitional regions. Hence, shale layers in the southeastern (SE) Sichuan Basin are now characterized by low burial depths (&#x3c;2000 m) and low pressure coefficients (&#x3c;1.3), leading to the formation of normally pressured shale gas.</p>
<p>Shale gas exploration in the United States began in normally pressured organic-rich shale layers (<xref ref-type="bibr" rid="B17">Guo et al., 2015</xref>; <xref ref-type="bibr" rid="B25">Hu et al., 2015</xref>). Before 2004, the main shale gas fields, such as the Marcellus shale gas field in the Appalachian Basin and Ohio shale gas field, were dominated by normally pressured shale gas, characterized by low-pressure or normal-pressure conditions (<xref ref-type="bibr" rid="B30">Lancaster et al., 1989</xref>; <xref ref-type="bibr" rid="B12">Curtis, 2002</xref>; <xref ref-type="bibr" rid="B38">Montgomery et al., 2006</xref>; <xref ref-type="bibr" rid="B41">Pollastro et al., 2007</xref>; <xref ref-type="bibr" rid="B13">Darabi et al., 2012</xref>; <xref ref-type="bibr" rid="B34">Meng et al., 2023</xref>). The typical characteristics of normally pressured shale gas in the United States are a continuous distribution of organic-rich shales, low thermal evolution, and a stable tectonic environment (<xref ref-type="bibr" rid="B18">Guo, 2016</xref>, <xref ref-type="bibr" rid="B19">Guo et al., 2020</xref>; <xref ref-type="bibr" rid="B26">Jiang et al., 2022</xref>). The thermal maturity of normally pressured shale gas in the United States is normally &#x3c;1.5%, with an adsorbed shale gas content &#x3e;50%. In contrast to low-maturity normally pressured shale gas in the United States, normally pressured shale gas exploration in China has achieved notable success in highly mature shales (<xref ref-type="bibr" rid="B19">Guo et al., 2020</xref>). Normally pressured organic-rich shale layers are widely distributed along the margins of the Sichuan Basin. Currently, the Nanchuan&#x2012;Wulong regions, located in the southeastern Sichuan Basin, are the only successfully developed normally pressured shale gas fields in this basin. Compared with high-/over-pressured shale gas reservoirs, normally pressured shale gas reservoirs have the characteristics of weak formation energy, complex ground stress fields, low single-well production, high drilling and production costs, a wide distribution area, a large total resource, and low resource abundance (<xref ref-type="bibr" rid="B19">Guo et al., 2020</xref>; <xref ref-type="bibr" rid="B23">He, 2021</xref>). Under existing technical and economic conditions, commercial development of normally pressured shale gas faces considerable challenges. Previous studies have revealed tectonic deformation, such as folding, to be the key factor in controlling the quality of Wufeng&#x2012;Longmaxi shale gas preservation conditions. More intense strain results in more free gas migrating to pressure-relief areas, such as eroded areas, permeable faults, and fracture zones. Meanwhile, owing to pressure reduction and desorption, the adsorbed gas will be converted into free gas and also dissipate, resulting in the further reduction of shale gas content or potentially no gas at all. Therefore, the intensity of the tectonic strain controls the quality of preservation conditions, affecting the gas content of shale and the proportion of free gas, and determines the enrichment of shale gas reservoirs (<xref ref-type="bibr" rid="B24">He et al., 2019</xref>; <xref ref-type="bibr" rid="B23">He, 2021</xref>).</p>
<p>Geological studies suggest that multi-stage tectonic movement has occurred in the southeastern Sichuan Basin, causing shale gas preservation conditions to be degraded (<xref ref-type="bibr" rid="B24">He et al., 2019</xref>). Gas geochemistry has been widely used to provide important information in the evaluation of shale gas type, origin, evolution, migration, and accumulation (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>; <xref ref-type="bibr" rid="B9">Cao et al., 2018</xref>; <xref ref-type="bibr" rid="B8">Cao et al., 2020</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B50">Wang et al., 2022</xref>). <xref ref-type="bibr" rid="B50">Wang et al. (2022)</xref> studied the chemical compositions and isotopic signatures of alkane gases, He, and Ar associated with Lower Paleozoic shale gas in the southern Sichuan Basin. <xref ref-type="bibr" rid="B8">Cao et al. (2020)</xref> analyzed shale gas origin and evolution using the stable carbon isotope signature (&#x3b4;<sup>13</sup>C) of alkane gases and the geochemistry of noble gases. <xref ref-type="bibr" rid="B32">Liu et al. (2021)</xref> used noble gas and C/H isotopic analyses to evaluate reservoir compartmentalization in the Wufeng&#x2012;Longmaxi organic-rich shale and determined the geologic causation mechanism (e.g., tectonic activity). Most of the aforementioned research has focused on well-developed high-/over-pressured shale reservoirs; however, the accumulation and expulsion mechanisms of normally pressured shale gas reservoirs have received much less attention.</p>
<p>In this study, normally pressured shale gas samples from various structural positions across the southeastern Sichuan Basin were collected, and their alkane gas (methane (CH<sub>4</sub>), ethane (C<sub>2</sub>H<sub>6</sub>), and propane (C<sub>3</sub>H<sub>8</sub>)) stable isotope (&#x3b4;<sup>13</sup>C and &#x3b4;D) and noble gas isotope signatures were analyzed. The main objectives of this study were to 1) reveal the coupling relationship between hydrocarbon gas isotope signatures and shale gas yield; 2) understand the origin of noble gas from normally pressured shale gas reservoirs; 3) determine the accumulation and expulsion mechanisms of normally pressured shale gas in the tectonically complex margin of the southeastern Sichuan Basin; and 4) provide insights into the enrichment mechanism of shale gas reservoirs and the prediction of shale gas production capacity in other structurally complex regions of the world.</p>
</sec>
<sec id="s2">
<title>2 Geological setting</title>
<p>The Sichuan Basin is located in southwest China, northwest of the Yangtze metaplatform; tectonically, it is an important gas-producing sedimentary basin in China. Wufeng&#x2012;Longmaxi organic-rich shales are widely distributed across the Sichuan Basin and surrounding regions and are key exploration and evaluation targets for shale gas reservoirs (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>; <xref ref-type="bibr" rid="B15">Gao et al., 2014</xref>; <xref ref-type="bibr" rid="B58">Zhao et al., 2019</xref>). Our study area is located in the southeastern Sichuan Basin and comprises a basin-margin transition belt and an extra-basin complex fold belt (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location and degree of geologic deformation of the study area in the southeastern Sichuan Basin.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g001.tif"/>
</fig>
<p>The basin-margin transition belt is located between the Sichuan Basin and a complex fold belt lying exterior to the basin; it shows a higher level of tectonic deformation compared with most parts of the Sichuan Basin, but deformation is weaker than that outside of the basin. The region has experienced multiple tectonic phases, including during the Caledonian, Hercynian, Indosinian, and Yanshan&#x2012;Himalayan periods, with the latter having the strongest impact. This has laid the foundation for the current structural pattern, dominated by northeast&#x2012;southwest-trending synclines and anticlines. From east to west, the basin-margin transition belt includes seven tectonic units: Shimen slope, Shiqiao fault depression, Pingqiao anticline, Yuanjiagou syncline, Dongsheng anticline, Shentongba syncline, and Yangchungou anticline. Wufeng&#x2012;Longmaxi organic-rich shales in this basin-margin transition belt are buried under high- to normal-pressure conditions, with pressure coefficients ranging between 1.10 and 1.35.</p>
<p>The extra-basin complex fold belt exhibits an increased degree of uplift-related erosion, with the Longmaxi Formation being almost completely denuded in anticlinal regions. Hence, Longmaxi organic-rich shales mainly occur in residual synclines, such as the Wulong, Sangzeping, and Daozhen synclines. The present burial depth of Longmaxi organic-rich shales in these residual synclines ranges from 1,000 to 3,500 m (<xref ref-type="bibr" rid="B24">He et al., 2019</xref>), where they are buried under typical normal-pressure conditions with pressure coefficients ranging from 0.95 to 1.10.</p>
</sec>
<sec id="s3">
<title>3 Sampling and analytical methodology</title>
<sec id="s3-1">
<title>3.1 Shale gas samples</title>
<p>Eighteen shale gas samples from the southeastern Sichuan Basin were collected using steel cylinder gas containers with a maximum gas pressure capacity of 15 MPa and a maximum volume of 1,000 mL. To avoid atmospheric contamination, the containers were flushed with wellhead gas at least 10 times before gas collection. The studied shale gas samples were collected from the sweet shale gas layer (Wufeng&#x2012;Longmaxi Formation) based on a continuous pressure coefficient series moving from the intra-basin and basin-margin transition belt toward the basin exterior; specifically, they were collected from Pingqiao (PQ), Dongsheng (DS), Jinfo (JF), Wulong (WL), and Pengshui (PS). The pressure coefficients for the Long-1 shale gas from these regions were 1.35 (PQ), 1.20&#x2013;1.35 (DS), 1.12&#x2013;1.20 (JF), 1.08 (WL), and 0.98 (PS), respectively.</p>
</sec>
<sec id="s3-2">
<title>3.2 Analytical methodology</title>
<p>The chemical compositions of non-hydrocarbon gases (CO<sub>2</sub>, H<sub>2</sub>, H<sub>2</sub>S, N<sub>2</sub>, and He) and hydrocarbon gases were examined. Non-hydrocarbon molecular compositions were analyzed using a gas composition mass spectrometer (MAT-271). Hydrocarbon gas compositions were analyzed using a gas chromatograph (GC, Agilent 6890N) equipped with an FID detector. To differentiate each of the individual hydrocarbon gas components (e.g., CH<sub>4</sub>, C<sub>2</sub>H<sub>6</sub>, and C<sub>3</sub>H<sub>8</sub>), an aluminum oxide capillary column with a length of 50 m and a diameter of 0.53 mm was used. The oven temperature setting for GC analysis was set at 30&#xb0;C for 10 min, followed by an increase to a target temperature of 180&#xb0;C at a heating rate of 10&#xb0;C/min, and then maintained at the target temperature for 20&#x2013;30 min.</p>
<p>An Agilent 6890N GC equipped with an isotope ratio mass spectrometer (IRMS, Delta plus XP) was used to determine the &#x3b4;<sup>13</sup>C signatures of individual hydrocarbon gas components. The operating temperature for &#x3b4;<sup>13</sup>C analysis was set at 30&#xb0;C for 3 min, followed by an increase to a target temperature of 250&#xb0;C at a heating rate of 10&#xb0;C/min, and then maintained at the target temperature for 50 min. To calculate the &#x3b4;<sup>13</sup>C values of hydrocarbon gases, three pulses of standard pure CO<sub>2</sub> gas were injected into the GC&#x2012;IRMS instrument. The overall analytical precision was &#xb1;3&#x2030;.</p>
<p>A MAT-253 IRMS coupled with an HP6890 GC instrument was used to analyze shale gas H isotopes. CH<sub>4</sub> and C<sub>2</sub>H<sub>6</sub> components were chromatographically distinguished using a fused silica capillary column (HP-PLOT Q, 30 m &#xd7; 0.32 mm &#xd7; 20 &#x3bc;m). The operating GC temperature for H isotope analysis was set at 40&#xb0;C for 5 min, followed by an increase to 80&#xb0;C at a heating rate of 5&#xb0;C/min, a further increase to 140&#xb0;C at a heating rate of 10&#xb0;C/min, and a final increase to a target temperature of 260&#xb0;C at a heating rate of 30&#xb0;C/min (<xref ref-type="bibr" rid="B55">Xing et al., 2021</xref>). The pyrolysis-oven temperature was set at 1,450&#xb0;C, and a standard H<sub>2</sub> sample was used as the reference gas. The accuracy of the H isotope analysis was approximately &#xb1;3&#x2030;. Hydrogen isotope data are reported in &#x3b4; notation (&#x3b4;D, &#x2030;) relative to Vienna Standard Mean Ocean Water (VSMOW &#x3d; 0.0&#x2030;). An internal standard was measured to calibrate the &#x3b4;D data for the studied shale gas samples (<xref ref-type="bibr" rid="B8">Cao et al., 2020</xref>).</p>
<p>Abundances and isotopic compositions of noble gases (He, Ne, and Ar) were measured using a noble gas isotope mass spectrometer (Noblesse SFT). The shale gas sample container was first connected to the purification vacuum system. After the system reached vacuum, the gas sample was introduced into a gas pipette with a volume of 8.5 cm<sup>3</sup>. According to the pressure and temperature variations in the gas pipette before and after the gas sample introduction, the absolute amount of gas sample introduced was calculated. Then, 1.5 cm<sup>3</sup> of the gas sample was further introduced to the online noble gas isotope mass spectrometer for noble gas purification. Details of the analytical procedure for noble gas abundance and isotope composition determination can be found in <xref ref-type="bibr" rid="B9">Cao et al. (2018)</xref>.</p>
</sec>
</sec>
<sec sec-type="results" id="s4">
<title>4 Results</title>
<sec id="s4-1">
<title>4.1 Shale gas yields</title>
<p>Shale gas yields from the basin-margin transition belt and extra-basin complex fold belt vary markedly. Considering that drilling wells in different structural zones are currently in different stages of production, daily shale gas production values for the first 500 production days were compared herein (<xref ref-type="table" rid="T1">Table 1</xref>; <xref ref-type="fig" rid="F2">Figure 2</xref>). Compared with the highly pressured Jiaoshiba shale gas production region (e.g., 20.3 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day for well JY1), daily shale gas production values in the study area were much lower. Shale gas production in the PQ area was the highest, ranging from 4.19 &#xd7; 10<sup>4</sup> to 6.55 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day (average: 5.55 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day). The average daily shale gas production values for the DS and JF areas were 3.32 &#xd7; 10<sup>4</sup> and 3.40 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day, respectively. Shale gas production in the extra-basin complex fold belt was much lower, with average values of 2.15 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day for the WL area and 0.77 &#xd7; 10<sup>4</sup> m<sup>3</sup>/day for the PS area. In general, daily shale gas production exhibited a decreasing trend with a decreasing pressure coefficient across the study area.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Chemical and carbon isotope (&#x3b4;<sup>13</sup>C) compositions of normally pressured shale gas samples in the southeastern Sichuan Basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Area</th>
<th rowspan="2" align="center">Well</th>
<th rowspan="2" align="center">Gas yield (m<sup>3</sup>/d)</th>
<th colspan="5" align="center">Gas composition (%)</th>
<th colspan="2" align="center">&#x3b4;<sup>13</sup>C (&#x2030;)</th>
<th colspan="2" align="center">&#x3b4;<sup>13</sup>D (&#x2030;)</th>
</tr>
<tr>
<th align="center">CH<sub>4</sub>
</th>
<th align="center">C<sub>2</sub>H<sub>6</sub>
</th>
<th align="center">C<sub>3</sub>H<sub>8</sub>
</th>
<th align="center">N<sub>2</sub>
</th>
<th align="center">CO<sub>2</sub>
</th>
<th align="center">&#x3b4;<sup>13</sup>C<sub>1</sub>
</th>
<th align="center">&#x3b4;<sup>13</sup>C<sub>2</sub>
</th>
<th align="center">&#x3b4;<sup>13</sup>DC<sub>1</sub>
</th>
<th align="center">&#x3b4;<sup>13</sup>DC<sub>2</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center">PQ</td>
<td align="center">JY194-A</td>
<td align="center">4.19</td>
<td align="center">96.47</td>
<td align="center">0.28</td>
<td align="center">0.01</td>
<td align="center">3.11</td>
<td align="center">0.05</td>
<td align="center">&#x2212;35.2</td>
<td align="center">&#x2212;37.5</td>
<td align="center">&#x2212;162.2</td>
<td align="center">&#x2212;105.4</td>
</tr>
<tr>
<td align="center">JY194-B</td>
<td align="center">6.43</td>
<td align="center">98.80</td>
<td align="center">0.37</td>
<td align="center">0.01</td>
<td align="center">0.77</td>
<td align="center">0.01</td>
<td align="center">&#x2212;36.5</td>
<td align="center">&#x2212;37.6</td>
<td align="center">&#x2212;163.2</td>
<td align="center">&#x2212;126.0</td>
</tr>
<tr>
<td align="center">JY194-C</td>
<td align="center">5.91</td>
<td align="center">98.31</td>
<td align="center">0.39</td>
<td align="center">0.01</td>
<td align="center">0.96</td>
<td align="center">0.24</td>
<td align="center">&#x2212;34</td>
<td align="center">&#x2212;37.8</td>
<td align="center">&#x2212;162.5</td>
<td align="center">&#x2212;125.1</td>
</tr>
<tr>
<td align="center">JY195-A</td>
<td align="center">6.55</td>
<td align="center">98.50</td>
<td align="center">0.40</td>
<td align="center">0.01</td>
<td align="center">1.05</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;32</td>
<td align="center">&#x2212;35.3</td>
<td align="center">&#x2212;165.4</td>
<td align="center">&#x2212;131.2</td>
</tr>
<tr>
<td align="center">JY197-A</td>
<td align="center">4.69</td>
<td align="center">98.54</td>
<td align="center">0.42</td>
<td align="center">0.01</td>
<td align="center">0.84</td>
<td align="center">0.16</td>
<td align="center">&#x2212;33.8</td>
<td align="center">&#x2212;37.5</td>
<td align="center">&#x2212;164.8</td>
<td align="center">&#x2212;121.4</td>
</tr>
<tr>
<td rowspan="3" align="center">JF</td>
<td align="center">JY204-A</td>
<td align="center">5.25</td>
<td align="center">98.30</td>
<td align="center">0.39</td>
<td align="center">0.01</td>
<td align="center">0.92</td>
<td align="center">0.30</td>
<td align="center">&#x2212;33.6</td>
<td align="center">&#x2212;36.2</td>
<td align="center">&#x2212;160.3</td>
<td align="center">&#x2212;119.7</td>
</tr>
<tr>
<td align="center">JY204-B</td>
<td align="center">3.41</td>
<td align="center">98.31</td>
<td align="center">0.40</td>
<td align="center">0.01</td>
<td align="center">0.91</td>
<td align="center">0.31</td>
<td align="center">&#x2212;33</td>
<td align="center">&#x2212;36.3</td>
<td align="center">&#x2212;161.3</td>
<td align="center">&#x2212;131.2</td>
</tr>
<tr>
<td align="center">JY204-C</td>
<td align="center">1.55</td>
<td align="center">86.03</td>
<td align="center">0.32</td>
<td align="center">0.01</td>
<td align="center">13.29</td>
<td align="center">0.32</td>
<td align="center">&#x2212;32.7</td>
<td align="center">&#x2212;36.1</td>
<td align="center">&#x2212;160.8</td>
<td align="center">&#x2212;94.2</td>
</tr>
<tr>
<td rowspan="4" align="center">DS</td>
<td align="center">SY-A</td>
<td align="center">4.28</td>
<td align="center">98.40</td>
<td align="center">0.46</td>
<td align="center">0.01</td>
<td align="center">0.76</td>
<td align="center">0.32</td>
<td align="center">&#x2212;34.4</td>
<td align="center">&#x2212;38</td>
<td align="center">&#x2212;163.8</td>
<td align="center">&#x2212;128.9</td>
</tr>
<tr>
<td align="center">SY-B</td>
<td align="center">3.46</td>
<td align="center">98.26</td>
<td align="center">0.41</td>
<td align="center">0.01</td>
<td align="center">1.14</td>
<td align="center">0.04</td>
<td align="center">&#x2212;33.9</td>
<td align="center">&#x2212;37</td>
<td align="center">&#x2212;162.8</td>
<td align="center">&#x2212;126.7</td>
</tr>
<tr>
<td align="center">SY-C</td>
<td align="center">2.48</td>
<td align="center">98.38</td>
<td align="center">0.44</td>
<td align="center">0.01</td>
<td align="center">0.79</td>
<td align="center">0.32</td>
<td align="center">&#x2212;34.3</td>
<td align="center">&#x2212;38.2</td>
<td align="center">&#x2212;163.8</td>
<td align="center">&#x2212;128.2</td>
</tr>
<tr>
<td align="center">SY-D</td>
<td align="center">3.04</td>
<td align="center">98.41</td>
<td align="center">0.40</td>
<td align="center">0.01</td>
<td align="center">0.94</td>
<td align="center">0.19</td>
<td align="center">&#x2212;32.6</td>
<td align="center">&#x2212;36.4</td>
<td align="center">&#x2212;163.4</td>
<td align="center">&#x2212;129.8</td>
</tr>
<tr>
<td rowspan="4" align="center">WL</td>
<td align="center">LY-A</td>
<td align="center">3.04</td>
<td align="center">97.92</td>
<td align="center">0.57</td>
<td align="center">0.02</td>
<td align="center">1.34</td>
<td align="center">0.12</td>
<td align="center">&#x2212;30.7</td>
<td align="center">&#x2212;34.5</td>
<td align="center">&#x2212;161.1</td>
<td align="center">&#x2212;150.6</td>
</tr>
<tr>
<td align="center">LY-B</td>
<td align="center">2.44</td>
<td align="center">97.19</td>
<td align="center">0.61</td>
<td align="center">0.02</td>
<td align="center">1.93</td>
<td align="center">0.08</td>
<td align="center">&#x2212;32</td>
<td align="center">&#x2212;34.8</td>
<td align="center">&#x2212;163.7</td>
<td align="center">&#x2212;134.9</td>
</tr>
<tr>
<td align="center">PD-A</td>
<td align="center">0.69</td>
<td align="center">98.05</td>
<td align="center">0.63</td>
<td align="center">0.01</td>
<td align="center">1.24</td>
<td align="center">0.00</td>
<td align="center">&#x2212;30.6</td>
<td align="center">&#x2212;36.2</td>
<td align="center">&#x2212;158.6</td>
<td align="center">&#x2212;178.6</td>
</tr>
<tr>
<td align="center">LY-C</td>
<td align="center">2.42</td>
<td align="center">96.62</td>
<td align="center">0.64</td>
<td align="center">0.01</td>
<td align="center">2.59</td>
<td align="center">0.07</td>
<td align="center">&#x2212;29.6</td>
<td align="center">&#x2212;34.6</td>
<td align="center">&#x2212;161.4</td>
<td align="center">&#x2212;162.1</td>
</tr>
<tr>
<td rowspan="2" align="center">PS</td>
<td align="center">PY-A</td>
<td align="center">0.98</td>
<td align="center">95.99</td>
<td align="center">0.54</td>
<td align="center">0.01</td>
<td align="center">2.82</td>
<td align="center">0.18</td>
<td align="center">&#x2212;30.7</td>
<td align="center">&#x2212;33.4</td>
<td align="center">&#x2212;161.9</td>
<td align="center">&#x2212;140.1</td>
</tr>
<tr>
<td align="center">PY-B</td>
<td align="center">0.56</td>
<td align="center">97.21</td>
<td align="center">0.99</td>
<td align="center">0.02</td>
<td align="center">1.64</td>
<td align="center">0.10</td>
<td align="center">&#x2212;30.9</td>
<td align="center">&#x2212;33.4</td>
<td align="center">&#x2212;163.0</td>
<td align="center">&#x2212;159.1</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Variation in gas composition in normally pressured Longmaxi shale gas from the southeastern Sichuan Basin.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g002.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Major gas compositions</title>
<p>Shale gas compositions from 18 wells within the Wufeng&#x2012;Longmaxi Formation in the southeastern Sichuan Basin are shown in <xref ref-type="table" rid="T1">Table 1</xref>. All samples were dominated by CH<sub>4</sub>, with minor amounts of C<sub>2</sub>H<sub>6</sub> and non-hydrocarbon gases (e.g., N<sub>2</sub>, CO<sub>2</sub>, and He). The CH<sub>4</sub> content ranged from 95.99% to 98.8%, with an average of 97.2%; the C<sub>2</sub>H<sub>6</sub> content ranged from 0.28% to 0.99%, with an average of 0.48%; and the C<sub>3</sub>H<sub>8</sub> content in all shale gas samples was very low, with an average of 0.01%. Non-hydrocarbon gases in the studied shale gas samples mainly consisted of N<sub>2</sub> (0.76%&#x2013;3.11%, average: 1.39%) and CO<sub>2</sub> (0.01%&#x2013;0.321%, average: 0.16%). The non-hydrocarbon gases He and Ar occurred in trace amounts in the shale gas samples and were detected using more precise noble gas mass spectrometry (the results are presented in <xref ref-type="sec" rid="s4-4">Section 4.4</xref>).</p>
</sec>
<sec id="s4-3">
<title>4.3 Carbon and hydrogen isotope signatures of alkane gases</title>
<p>The &#x3b4;<sup>13</sup>C signatures of alkane gases varied among shale gas samples collected from different areas. The &#x3b4;<sup>13</sup>C<sub>1</sub> values ranged from &#x2212;36.5&#x2030; to &#x2212;29.6&#x2030;, with average values of &#x2212;34.3&#x2030;, &#x2212;33.8&#x2030;, &#x2212;33.1&#x2030;, &#x2212;30.7&#x2030;, and &#x2212;30.8&#x2030; for the PQ, DS, JF, WL, and PS areas, respectively. The &#x3b4;<sup>13</sup>C<sub>2</sub> values ranged from &#x2212;38.2&#x2030; to &#x2212;33.4&#x2030;, with average values of &#x2212;37.1&#x2030;, &#x2212;37.4&#x2030;, &#x2212;36.2&#x2030;, &#x2212;30.7&#x2030;, and &#x2212;33.4&#x2030; for the PQ, DS, JF, WL, and PS areas, respectively. The &#x3b4;<sup>13</sup>C signatures of alkane gases exhibited an increasing trend with a decreasing pressure coefficient. In contrast to the &#x3b4;<sup>13</sup>C data, the &#x3b4;D signatures of alkane gases showed no evident pattern of change with a decreasing pressure coefficient, with &#x3b4;DC<sub>1</sub> ranging from &#x2212;162.2&#x2030; to &#x2212;165.4&#x2030; and &#x3b4;DC<sub>2</sub> ranging from &#x2212;166.1&#x2030; to &#x2212;135.1&#x2030;.</p>
</sec>
<sec id="s4-4">
<title>4.4 Noble gas compositions and isotopes</title>
<p>He, Ne, and Ar concentrations and isotopic data from the 18 studied Longmaxi shale gas samples are presented in <xref ref-type="table" rid="T2">Table 2</xref>. The He concentration ranged from 383.6 to 976.9 ppm, with an average of 550.3 ppm. The He concentration varied among shale gas samples collected from different areas, showing an increasing trend with a decreasing pressure coefficient moving from the intra-basin toward the basin exterior. The average He contents of shale gas from the PQ, DS, JF, WL, and PS areas were 551.0, 446.2, 444.8, 530.5, and 954.3 ppm, respectively. Ne and Ar concentrations had ranges of 0.01&#x2013;0.278 and 26&#x2013;96 ppm, respectively.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Noble gas composition and isotopic data from normally pressured shale gas samples in the southeastern Sichuan Basin.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Area</th>
<th align="center">Well</th>
<th align="center">He (ppm)</th>
<th align="center">Ne (ppm)</th>
<th align="center">Ar (ppm)</th>
<th align="center">
<sup>3</sup>He/<sup>4</sup>He</th>
<th align="center">err (1&#x3c3;)</th>
<th align="center" style="color:#000000">R/Ra</th>
<th align="center">
<sup>20</sup>Ne/<sup>22</sup>Ne</th>
<th align="center" style="color:#000000">err(1&#x3c3;)</th>
<th align="center">
<sup>21</sup>Ne/<sup>22</sup>Ne</th>
<th align="center">err (1&#x3c3;)</th>
<th align="center">
<sup>4</sup>He/<sup>20</sup>Ne</th>
<th align="center">
<sup>40</sup>Ar/<sup>36</sup>Ar</th>
<th align="center">err (1&#x3c3;)</th>
<th align="center">
<sup>38</sup>Ar/<sup>36</sup>Ar</th>
<th align="center">err (1&#x3c3;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="5" align="center">PQ</td>
<td align="center">JY194-A</td>
<td align="center">776.8</td>
<td align="center">0.219</td>
<td align="center">34</td>
<td align="center">1.26E-08</td>
<td align="center">1.20E-09</td>
<td align="center" style="color:#000000">0.0091</td>
<td align="center">10.8</td>
<td align="center" style="color:#000000">0.11</td>
<td align="center">0.028</td>
<td align="center">0.0017</td>
<td align="center">6,119.1</td>
<td align="center">1,648.2</td>
<td align="center">20</td>
<td align="center">0.19</td>
<td align="center">0.006</td>
</tr>
<tr>
<td align="center">JY194-B</td>
<td align="center">573</td>
<td align="center">0.028</td>
<td align="center">&#x2014;</td>
<td align="center">1.80E-08</td>
<td align="center">1.40E-09</td>
<td align="center" style="color:#000000">0.0130</td>
<td align="center">9.3</td>
<td align="center" style="color:#000000">0.21</td>
<td align="center">0.034</td>
<td align="center">0.0039</td>
<td align="center">36,263.4</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">JY194-C</td>
<td align="center">463.3</td>
<td align="center">0.011</td>
<td align="center">68</td>
<td align="center">1.60E-08</td>
<td align="center">1.90E-09</td>
<td align="center" style="color:#000000">0.0116</td>
<td align="center">10.7</td>
<td align="center" style="color:#000000">0.37</td>
<td align="center">0.035</td>
<td align="center">0.0077</td>
<td align="center">70,093.1</td>
<td align="center">905.3</td>
<td align="center">8.2</td>
<td align="center">0.19</td>
<td align="center">0.007</td>
</tr>
<tr>
<td align="center">JY195-A</td>
<td align="center">449.6</td>
<td align="center">0.029</td>
<td align="center">38</td>
<td align="center">1.40E-08</td>
<td align="center">1.40E-09</td>
<td align="center" style="color:#000000">0.0101</td>
<td align="center">9.7</td>
<td align="center" style="color:#000000">0.16</td>
<td align="center">0.033</td>
<td align="center">0.0027</td>
<td align="center">33,320.6</td>
<td align="center">1,011.6</td>
<td align="center">7.4</td>
<td align="center">0.19</td>
<td align="center">0.003</td>
</tr>
<tr>
<td align="center">JY197-A</td>
<td align="center">492.4</td>
<td align="center">0.168</td>
<td align="center">31</td>
<td align="center">1.33E-08</td>
<td align="center">1.80E-09</td>
<td align="center" style="color:#000000">0.0096</td>
<td align="center">10.8</td>
<td align="center" style="color:#000000">0.13</td>
<td align="center">0.032</td>
<td align="center">0.0018</td>
<td align="center">5,050.7</td>
<td align="center">1,628.1</td>
<td align="center">20</td>
<td align="center">0.18</td>
<td align="center">0.006</td>
</tr>
<tr>
<td rowspan="3" align="center">JF</td>
<td align="center">JY204-A</td>
<td align="center">396</td>
<td align="center">0.118</td>
<td align="center">29</td>
<td align="center">1.44E-08</td>
<td align="center">1.70E-09</td>
<td align="center" style="color:#000000">0.0104</td>
<td align="center">11.7</td>
<td align="center" style="color:#000000">0.45</td>
<td align="center">0.028</td>
<td align="center">0.003</td>
<td align="center">2,425.8</td>
<td align="center">1,520</td>
<td align="center">15</td>
<td align="center">0.18</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="center">JY204-B</td>
<td align="center">491.4</td>
<td align="center">0.012</td>
<td align="center">31</td>
<td align="center">8.06E-09</td>
<td align="center">1.10E-09</td>
<td align="center" style="color:#000000">0.0058</td>
<td align="center">10.5</td>
<td align="center" style="color:#000000">0.41</td>
<td align="center">0.036</td>
<td align="center">0.0066</td>
<td align="center">69,002.8</td>
<td align="center">1,561.2</td>
<td align="center">18</td>
<td align="center">0.19</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="center">JY204-C</td>
<td align="center">447.1</td>
<td align="center">&#x2014;</td>
<td align="center">36</td>
<td align="center">1.40E-08</td>
<td align="center">1.80E-09</td>
<td align="center" style="color:#000000">0.0101</td>
<td align="center">11.5</td>
<td align="center" style="color:#000000">0.17</td>
<td align="center">0.03</td>
<td align="center">0.0005</td>
<td align="left"/>
<td align="center">1,027.6</td>
<td align="center">7.5</td>
<td align="center">0.19</td>
<td align="center">0.005</td>
</tr>
<tr>
<td rowspan="4" align="center">DS</td>
<td align="center">SY-A</td>
<td align="center">418</td>
<td align="center">0.01</td>
<td align="center">27</td>
<td align="center">7.64E-09</td>
<td align="center">1.10E-09</td>
<td align="center" style="color:#000000">0.0055</td>
<td align="center">10.7</td>
<td align="center" style="color:#000000">0.51</td>
<td align="center">0.034</td>
<td align="center">0.0067</td>
<td align="center">75,716.2</td>
<td align="center">1,620.3</td>
<td align="center">19</td>
<td align="center">0.19</td>
<td align="center">0.01</td>
</tr>
<tr>
<td align="center">SY-B</td>
<td align="center">524.3</td>
<td align="center">0.035</td>
<td align="center">38</td>
<td align="center">9.52E-09</td>
<td align="center">1.80E-09</td>
<td align="center" style="color:#000000">0.0069</td>
<td align="center">10.6</td>
<td align="center" style="color:#000000">0.16</td>
<td align="center">0.036</td>
<td align="center">0.0028</td>
<td align="center">25,972.0</td>
<td align="center">1,617.3</td>
<td align="center">20</td>
<td align="center">0.18</td>
<td align="center">0.006</td>
</tr>
<tr>
<td align="center">SY-C</td>
<td align="center">415.5</td>
<td align="center">0.013</td>
<td align="center">26</td>
<td align="center">1.02E-08</td>
<td align="center">1.30E-09</td>
<td align="center" style="color:#000000">0.0074</td>
<td align="center">11.2</td>
<td align="center" style="color:#000000">0.42</td>
<td align="center">0.035</td>
<td align="center">0.0091</td>
<td align="center">54,397.2</td>
<td align="center">1,560.6</td>
<td align="center">20</td>
<td align="center">0.18</td>
<td align="center">0.005</td>
</tr>
<tr>
<td align="center">SY-D</td>
<td align="center">427.3</td>
<td align="center">0.018</td>
<td align="center">40</td>
<td align="center">1.05E-08</td>
<td align="center">1.40E-09</td>
<td align="center" style="color:#000000">0.0076</td>
<td align="center">11</td>
<td align="center" style="color:#000000">0.24</td>
<td align="center">0.037</td>
<td align="center">0.0039</td>
<td align="center">40,624.9</td>
<td align="center">730.1</td>
<td align="center">3.7</td>
<td align="center">0.18</td>
<td align="center">0.002</td>
</tr>
<tr>
<td rowspan="4" align="center">WL</td>
<td align="center">LY-A</td>
<td align="center">553</td>
<td align="center">0.019</td>
<td align="center">35</td>
<td align="center">6.16E-09</td>
<td align="center">1.00E-09</td>
<td align="center" style="color:#000000">0.0045</td>
<td align="center">10.9</td>
<td align="center" style="color:#000000">0.23</td>
<td align="center">0.039</td>
<td align="center">0.0041</td>
<td align="center">49,534.7</td>
<td align="center">963.8</td>
<td align="center">7</td>
<td align="center">0.19</td>
<td align="center">0.003</td>
</tr>
<tr>
<td align="center">LY-B</td>
<td align="center">541.2</td>
<td align="center">0.149</td>
<td align="center">96</td>
<td align="center">1.23E-08</td>
<td align="center">1.70E-09</td>
<td align="center" style="color:#000000">0.0089</td>
<td align="center">11</td>
<td align="center" style="color:#000000">0.14</td>
<td align="center">0.031</td>
<td align="center">0.0013</td>
<td align="center">6,254.0</td>
<td align="center">1,090.2</td>
<td align="center">8.5</td>
<td align="center">0.19</td>
<td align="center">0.003</td>
</tr>
<tr>
<td align="center">PD-A</td>
<td align="center">383.6</td>
<td align="center">0.04</td>
<td align="center">33</td>
<td align="center">1.31E-08</td>
<td align="center">1.60E-09</td>
<td align="center" style="color:#000000">0.0095</td>
<td align="center">11</td>
<td align="center" style="color:#000000">0.2</td>
<td align="center">0.031</td>
<td align="center">0.0038</td>
<td align="center">16,371.4</td>
<td align="center">958.8</td>
<td align="center">6.8</td>
<td align="center">0.19</td>
<td align="center">0.004</td>
</tr>
<tr>
<td align="center">LY-C</td>
<td align="center">644.2</td>
<td align="center">0.036</td>
<td align="center">38</td>
<td align="center">8.46E-09</td>
<td align="center">1.60E-09</td>
<td align="center" style="color:#000000">0.0061</td>
<td align="center">9.6</td>
<td align="center" style="color:#000000">0.16</td>
<td align="center">0.032</td>
<td align="center">0.0038</td>
<td align="center">31,647.8</td>
<td align="center">1,145.7</td>
<td align="center">10</td>
<td align="center">0.18</td>
<td align="center">0.004</td>
</tr>
<tr>
<td rowspan="2" align="center">PS</td>
<td align="center">PY-A</td>
<td align="center">931.7</td>
<td align="center">0.186</td>
<td align="center">46</td>
<td align="center">1.14E-08</td>
<td align="center">3.00E-09</td>
<td align="center" style="color:#000000">0.0082</td>
<td align="center">10.5</td>
<td align="center" style="color:#000000">0.13</td>
<td align="center">0.03</td>
<td align="center">0.0018</td>
<td align="center">8,663.7</td>
<td align="center">1,392.3</td>
<td align="center">14</td>
<td align="center">0.18</td>
<td align="center">0.004</td>
</tr>
<tr>
<td align="center">PY-B</td>
<td align="center">976.9</td>
<td align="center">0.278</td>
<td align="center">53</td>
<td align="center">1.13E-08</td>
<td align="center">1.70E-09</td>
<td align="center" style="color:#000000">0.0082</td>
<td align="center">10.4</td>
<td align="center" style="color:#000000">0.13</td>
<td align="center">0.03</td>
<td align="center">0.0012</td>
<td align="center">6,086.3</td>
<td align="center">1,509.7</td>
<td align="center">16</td>
<td align="center">0.18</td>
<td align="center">0.005</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<sup>3</sup>He/<sup>4</sup>He ratios ranged from 0.0045 to 0.013 Ra, where Ra is the atmospheric ratio of (1.384 &#xb1; 0.013) &#xd7; 10<sup>&#x2013;6</sup> (<xref ref-type="bibr" rid="B40">Ozima and Podosek, 2017</xref>; <xref ref-type="bibr" rid="B37">Mishima et al., 2018</xref>). <sup>20</sup>Ne/<sup>22</sup>Ne ratios (9.3&#x2013;11.7, average: 10.6) were higher than the atmospheric value (9.80; <xref ref-type="bibr" rid="B43">Sarda et al., 1988</xref>) and lower than the mantle value (12.2; <xref ref-type="bibr" rid="B3">Ballentine et al., 2005</xref>). <sup>4</sup>He/<sup>20</sup>Ne ratios ranged from 2,425.8 to 75,716.2, much higher than the atmospheric value of 0.288 (<xref ref-type="bibr" rid="B29">Kipfer et al., 2002</xref>). Most <sup>21</sup>Ne/<sup>22</sup>Ne ratios (0.028&#x2013;0.039, average: 0.033) were higher than the atmospheric value (0.02959; <xref ref-type="bibr" rid="B20">Gyore et al., 2019</xref>), indicating a mixed source of two end-members: crustal (0.03&#x2013;0.70; <xref ref-type="bibr" rid="B40">Ozima and Podosek, 2017</xref>) and atmospheric Ne. The <sup>40</sup>Ar/<sup>36</sup>Ar ratios of the studied shale gas samples varied from 730.1 to 1,648.2, with an average of 1,286.7; these ratios are much higher than those of air, indicating no apparent noble gas contamination from the atmosphere during shale gas sampling and analysis.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>5 Discussion</title>
<sec id="s5-1">
<title>5.1 Coupling relationship between alkane gas isotopes and shale gas yield</title>
<p>The origin of Longmaxi shale gas has been widely discussed in previous studies (<xref ref-type="bibr" rid="B22">Hao et al., 2013</xref>; <xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>; <xref ref-type="bibr" rid="B52">Wu et al., 2017</xref>; <xref ref-type="bibr" rid="B9">Cao et al., 2018</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2021</xref>). Methane is the dominant component in the high-/over-pressured Longmaxi shale gas produced (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2021</xref>). Normally pressured shale gas samples in the studied southeastern margin of the Sichuan Basin show similar characteristics, with high CH<sub>4</sub> abundance and high gas dryness ratios [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] (94.3&#x2013;339.7, avg. 216.8). The &#x3b4;DC<sub>1</sub> values of normally pressured shale gas have a similar distribution range to those of Wufeng&#x2012;Longmaxi shale gas from Weiyuan and Changning, as reported by <xref ref-type="bibr" rid="B62">Dai et al. (2014)</xref>. Plots of &#x3b4;<sup>13</sup>C<sub>1</sub> <italic>versus</italic> [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] (<xref ref-type="fig" rid="F3">Figure 3A</xref>) and &#x3b4;<sup>13</sup>C<sub>1</sub> <italic>versus</italic> &#x3b4;DC<sub>1</sub> (<xref ref-type="fig" rid="F3">Figure 3B</xref>) both suggest that the Longmaxi shale gas is of late-mature thermogenic origin. A kinetic isotope effect resulting from differences in the energy required to cleave <sup>12</sup>C&#x5c;<sup>12</sup>C and <sup>12</sup>C&#x5c;<sup>13</sup>C bonds in shale gas precursors has been reported (<xref ref-type="bibr" rid="B45">Tang et al., 2000</xref>). Such a kinetic isotope effect results in a more positive &#x3b4;<sup>13</sup>C composition in hydrocarbons at higher maturity (<xref ref-type="bibr" rid="B53">Xia et al., 2013</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Gas molecular and stable isotope composition plots of normally pressured Longmaxi shale gas from the southeastern Sichuan Basin, along with other shales. <bold>(A)</bold> [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] vs &#x3b4;<sup>13</sup>C<sub>1</sub>. <bold>(B)</bold> &#x3b4;<sup>13</sup>C<sub>1</sub> vs &#x3b4;DC<sub>1</sub>. <bold>(C)</bold> Isotopic composition of C<sub>2</sub>H<sub>6</sub> exhibiting a reversal trend with increasing maturity. Fayetteville and Barnett shale gas data and genetic diagrams are adapted from <xref ref-type="bibr" rid="B36">Milkov et al. (2020)</xref>, while previously studied shale gas data are adapted from <xref ref-type="bibr" rid="B62">Dai et al. (2014)</xref>. Abbreviations: SM, secondary microbial; EMT, early-mature thermogenic gas; OA, oil-associated (mid-mature) thermogenic gas; LMT, late-mature thermogenic gas.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g003.tif"/>
</fig>
<p>The &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub> values of our normally pressured shale gas samples are plotted in <xref ref-type="fig" rid="F3">Figure 3C</xref>, together with those of Barnett (<xref ref-type="bibr" rid="B36">Milkov et al., 2020</xref>), Fayetteville (<xref ref-type="bibr" rid="B36">Milkov et al., 2020</xref>), and Wufeng&#x2012;Longmaxi (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>) shale gas samples studied previously, in which the dashed line represents the relationship &#x3b4;<sup>13</sup>C<sub>1</sub> &#x3d; &#x3b4;<sup>13</sup>C<sub>2</sub>. Above the dashed line, a normal &#x3b4;<sup>13</sup>C trend exists, characterized by &#x3b4;<sup>13</sup>C<sub>1</sub> &#x03c; &#x3b4;<sup>13</sup>C<sub>2</sub>. The turning point in this normal trend area has been suggested to represent the start of secondary hydrocarbon cracking and mixing of gas (primary and secondary cracking), which would likely cause a &#x3b4;<sup>13</sup>C reversal among alkane gases (<xref ref-type="bibr" rid="B47">Tilley and Muehlenbachs, 2013</xref>; <xref ref-type="bibr" rid="B53">Xia et al., 2013</xref>). Shale gas with a normal &#x3b4;<sup>13</sup>C trend is mostly related to the low&#x2012;middle stage of maturity. As maturity increases, a reversal in the trend (&#x3b4;<sup>13</sup>C<sub>1</sub> &#x3e; &#x3b4;<sup>13</sup>C<sub>2</sub>) can be observed. A further turning point in this reversed trend area has been suggested to represent a post-reversal stage at an extremely high or over-mature stage of evolution (<xref ref-type="bibr" rid="B62">Dai et al., 2014</xref>). This was confirmed by <xref ref-type="bibr" rid="B53">Xia et al. (2013)</xref> when applying a &#x3b4;<sup>13</sup>C correlated with the maturity model and by <xref ref-type="bibr" rid="B52">Wu et al. (2017)</xref> when studying even higher-maturity Lower Cambrian Niutitang shale gas.</p>
<p>For our normally pressured shale gas, &#x3b4;<sup>13</sup>C and &#x3b4;D data suggest that the shale gas originated from late-mature thermogenic generation, equivalent to shale gas in other production areas of the inner Sichuan Basin. The [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] data exhibit a negative relationship with &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub> (<xref ref-type="fig" rid="F4">Figure 4</xref>). Shale gas from the basin-margin transition belt (areas PQ, DS, and JF) is characterized by higher [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] and lighter &#x3b4;<sup>13</sup>C compared with shale gas samples from the extra-basin complex fold belt (areas WL and PS). The slope trend of decreasing [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] with heavier &#x3b4;<sup>13</sup>C matches the decreasing trend of the pressure coefficient for the selected shale gas samples. Meanwhile, daily shale gas yields for the selected production wells exhibit a negative correlation with &#x3b4;<sup>13</sup>C and a positive correlation with [C<sub>1</sub>/(C<sub>2</sub> &#x2b; C<sub>3</sub>)] (<xref ref-type="fig" rid="F5">Figure 5</xref>), indicating that shale gas production wells in the basin-margin transition belt and extra-basin complex fold belt have completely different shale gas yields and gas geochemistry characteristics. The PS, DS, and JF areas have better gas production than WL and PS. The reason for this phenomenon may be that shale gas expulsion efficiency and gas source supply are different in different structural belts.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Correlations between the dryness coefficient (C<sub>1</sub>/C<sub>2&#x2012;3</sub>) and &#x3b4;<sup>13</sup>C. <bold>(A)</bold> C<sub>1</sub>/C<sub>2&#x2012;3</sub> vs &#x3b4;<sup>13</sup>C<sub>1</sub>. <bold>(B)</bold> C<sub>1</sub>/C<sub>2&#x2012;3</sub> vs &#x3b4;<sup>13</sup>C<sub>2</sub>.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Correlations between daily shale gas production and hydrocarbon gas geochemistry characteristics. Daily shale gas production vs &#x3b4;<sup>13</sup>C<sub>1</sub> <bold>(A)</bold>, &#x3b4;<sup>13</sup>C<sub>2</sub> <bold>(B)</bold>, and dryness coefficient (C<sub>1</sub>/C<sub>2&#x2012;3</sub>) <bold>(C)</bold>.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g005.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B35">Meng et al. (2022)</xref> studied the CH<sub>4</sub> and C<sub>2</sub>H<sub>6</sub> &#x3b4;<sup>13</sup>C changes in the Triassic Yanchang Formation from the Ordos Basin using pressure coring to avoid the problem of lost gas. During shale gas desorption, both &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub> values became heavier, and gas dryness coefficients (C<sub>1</sub>/C<sub>1&#x2012;5</sub>) decreased with increasing desorption rates. Smaller molecules (e.g., CH<sub>4</sub>) desorb more rapidly than longer-chain hydrocarbon gases. For normally pressured shale gas, variations in gas geochemistry characteristics provide evidence for the gas accumulation and expulsion processes during geological time. The WL and PS areas within the extra-basin complex fold belt experienced earlier uplift compared with the PQ, DS, and JF areas within the basin-margin transition belt (<xref ref-type="fig" rid="F6">Figure 6</xref>, modified after <xref ref-type="bibr" rid="B46">Teng et al., 2020</xref>). Although shale layers in the WL and PS areas have similar top and bottom cap-rock conditions to those in the inner basin area (e.g., Fulin shale gas field), their relatively poor self-sealing capacity and low displacement pressure mean that an episodic hydrocarbon expulsion process is more likely to occur. More oil and gas escape from these shale layers during the peak hydrocarbon generation period, reducing the potential source supply for later shale gas generation during higher maturity stages. During expulsion, hydrocarbons with a lighter &#x3b4;<sup>13</sup>C escape first, leaving the residual hydrocarbons richer in <sup>13</sup>C. As the pressure coefficient decreases, the hydrocarbon expulsion efficiency increases and residual gas abundance is reduced. Therefore, the PS shale gas samples are characterized by the heaviest &#x3b4;<sup>13</sup>C values, lowest gas dryness coefficients, and lowest daily gas yields among all studied shale gas samples.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Burial history, thermal history, and paleo-pressure of the Wufeng&#x2012;Longmaxi Formation in the <bold>(A)</bold> basin-margin transition belt and <bold>(B)</bold> extra-basin complex fold belt.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g006.tif"/>
</fig>
<p>The H atom is much smaller than the C atom; hence, H isotope fractionation occurs more readily during shale gas expulsion or desorption. Notably, unlike &#x3b4;<sup>13</sup>C, the &#x3b4;D values of CH<sub>4</sub> and C<sub>2</sub>H<sub>6</sub> show little variation with changes in pressure coefficient across all studied shale gas samples. A previous study suggested that &#x3b4;D values in alkane gases desorbed from pressure coring remained stable with increasing gas desorption rates (<xref ref-type="bibr" rid="B35">Meng et al., 2022</xref>).</p>
</sec>
<sec id="s5-2">
<title>5.2 Origin of noble gases in a normally pressured shale gas system</title>
<p>In subsurface fluid systems, noble gases can have atmospheric, mantle, or radiogenic origins, with distinct isotopic signatures associated with each component (<xref ref-type="bibr" rid="B3">Ballentine et al., 2005</xref>). According to its origin, there are three types of He: atmospheric, mantle-derived, and crust-derived. Helium has two isotopes: primordial <sup>3</sup>He and <sup>4</sup>He sourced from the radioactive decay of <sup>238</sup>U, <sup>235</sup>U, and <sup>232</sup>Th over geological time (<xref ref-type="bibr" rid="B16">Graham, 2002</xref>). The origin of He is usually determined using the ratio of the isotopic abundances of <sup>3</sup>He and <sup>4</sup>He, i.e., R &#x3d; <sup>3</sup>He/<sup>4</sup>He. Atmospheric He is ubiquitous in the air, showing no industrial significance, owing to its low concentration. The R value for atmospheric helium is 1.4 &#xd7; 10<sup>6</sup>, normally referred to as Ra. Mantle-derived He refers to He of deep magmatic origin, including the original <sup>3</sup>He captured in the early stage of the formation of the Earth, and <sup>4</sup>He produced by radioactive decay, with a high R ratio of approximately 8 Ra. Crust-derived He is mainly sourced from &#x3b1; radioactive decay of U and Th in ancient sedimentary rocks, metamorphic rocks, migmatites, and granites. This crust-derived He, with a low R ratio of approximately 0.02 Ra, is an important source of He input in natural gas reservoirs (<xref ref-type="bibr" rid="B39">Oxburgh et al., 1986</xref>; <xref ref-type="bibr" rid="B2">Ballentine and Lollar, 2002</xref>; <xref ref-type="bibr" rid="B28">Kennedy and van Soest, 2005</xref>; <xref ref-type="bibr" rid="B49">Wang et al., 2020</xref>). As shown in a plot of R/Ra vs <sup>4</sup>He/<sup>20</sup>Ne (<xref ref-type="fig" rid="F7">Figure 7A</xref>), the <sup>3</sup>He/<sup>4</sup>He ratios (R/Ra) of our normally pressured shale gas samples range from 0.0045 to 0.013 Ra, all plotted within the crust end-member region. A plot of CH<sub>4</sub>/<sup>3</sup>He vs R/Ra (<xref ref-type="fig" rid="F7">Figure 7B</xref>) also indicates that the studied shale gas samples lie in the crustal field, suggesting that the Longmaxi shale gas received a substantial contribution of crust-derived He; this is consistent with the Weiyuan and Changning shale gas samples studied by <xref ref-type="bibr" rid="B8">Cao et al. (2020)</xref>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Plot of <sup>3</sup>He/<sup>4</sup>He (R/Ra) vs <sup>4</sup>He/<sup>20</sup>Ne showing mixing lines between the atmosphere and upper mantle and between the atmosphere and crust. Ratios of the atmosphere, continental crust, and upper mantle end-members are obtained from <xref ref-type="bibr" rid="B40">Ozima and Podosek (2017)</xref>, <xref ref-type="bibr" rid="B1">Ballentine and Burnard (2002)</xref>, and <xref ref-type="bibr" rid="B16">Graham (2002)</xref>. <bold>(B)</bold> Plot of CH<sub>4</sub>/<sup>3</sup>He vs <sup>3</sup>He/<sup>4</sup>He (R/Ra) demonstrating a crustal origin for noble gases.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g007.tif"/>
</fig>
<p>Argon has three isotopes, namely, <sup>40</sup>Ar, <sup>38</sup>Ar, and <sup>36</sup>Ar, with <sup>40</sup>Ar mainly sourced from the radioactive decay of K, and <sup>38</sup>Ar and <sup>36</sup>Ar of primordial origin (<xref ref-type="bibr" rid="B1">Ballentine and Burnard, 2002</xref>). The <sup>40</sup>Ar/<sup>36</sup>Ar ratios of our shale gas samples are relatively high (<xref ref-type="fig" rid="F8">Figure 8</xref>; ranging from 1,194.3 to 4,604.5), indicating a radiogenic origin consistent with that suggested by the He isotope data. The <sup>40</sup>Ar/<sup>36</sup>Ar ratios of our shale gas samples exhibit similar values to those of Jiaoshiba shale gas but are higher than those of Changning shale gas samples from the southern Sichuan Basin (<xref ref-type="bibr" rid="B50">Wang et al., 2022</xref>).</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Plots of <bold>(A)</bold> <sup>3</sup>He/<sup>4</sup>He (R/Ra) vs <sup>40</sup>Ar/<sup>36</sup>Ar and <bold>(B)</bold> <sup>40</sup>Ar/<sup>36</sup>Ar vs 1/<sup>36</sup>Ar.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g008.tif"/>
</fig>
</sec>
<sec id="s5-3">
<title>5.3 Shale gas accumulation and expulsion reflected in noble gas isotope signatures</title>
<p>Compared with conventional natural gas reservoirs, the enrichment and preservation of noble gas and the controlling factors of the formation of He-rich natural gas reservoirs show some similarities and also differences. Regions with high hydrocarbon generation intensity that are conducive to the formation of large oil and gas reservoirs may not be conducive to the formation of He-rich natural gas reservoirs. However, tectonic uplift and denudation areas with relatively low hydrocarbon generation intensity may be favorable for forming He-rich natural gas. The same applies to shale gas reservoirs, in which self-generation and self-storage occur. Excessive hydrocarbon generation intensity greatly dilutes the concentration of He. Therefore, for self-generated and self-stored He-rich shale gas reservoirs, despite the high content of U and Th in shale, it is difficult to achieve commercial development of He, owing to the dilution effect of hydrocarbon gases (<xref ref-type="bibr" rid="B49">Wang et al., 2020</xref>). The He concentration of Wufeng&#x2012;Longmaxi shale gas is relatively low in the high-yield Jiaoshiba and Changning areas, with average concentrations of 205 and 376 ppm, respectively. However, in extra-basin areas that are structurally complex, the He concentration can reach 941 ppm (<xref ref-type="bibr" rid="B50">Wang et al., 2022</xref>).</p>
<p>The spatial distributions of He and Ar concentrations have been suggested to be closely related to the accumulation and dissipation of shale gas (<xref ref-type="bibr" rid="B50">Wang et al., 2022</xref>). Owing to mixing and dilution, the concentration of He decreases with an increase in the shale gas content. Compared with shale gas development areas in a structurally stable basin, such as Changning and Jiaoshiba, the preservation conditions of shale gas in structurally complex areas outside the basin, such as Pengshui in southeastern Chongqing, are relatively poor. At the over-mature evolution stage, owing to the continuous decay of U and Th releasing <sup>4</sup>He, higher He contents are found in structurally complex areas outside the basin compared with inner basin areas with high shale gas production.</p>
<p>As shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the He and Ar concentrations of shale gas samples from the basin-margin transition belt (PQ, DS, and JF areas) are lower than those of the extra-basin complex fold belt (WL and PS areas). The He and Ar concentrations of PS shale gas samples in this study are consistent with previous data (He: 716&#x2013;941 ppm, Ar: 42&#x2013;56 ppm; <xref ref-type="bibr" rid="B50">Wang et al., 2022</xref>). The contents of <sup>4</sup>He and <sup>40</sup>Ar show a weak positive correlation (<xref ref-type="fig" rid="F10">Figure 10A</xref>), indicating a radiogenic contribution for both noble gases.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Noble gas abundances and gas yield distribution for the normally pressured shale gas studied. <bold>(A)</bold> He abundance. <bold>(B)</bold> Ar abundance.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g009.tif"/>
</fig>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Plots of <bold>(A)</bold> <sup>4</sup>He vs <sup>40</sup>Ar content and <bold>(B)</bold> <sup>4</sup>He vs gas yield.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g010.tif"/>
</fig>
<p>The He content exhibits a negative correlation with daily shale gas yield for the studied shale gas wells (<xref ref-type="fig" rid="F10">Figure 10B</xref>). High-gas yield wells located in structural regions with higher <italic>in situ</italic> stress and higher pressure coefficients have low concentrations of He and Ar. As an unconventional gas, shale gas has the characteristics of self-generation and self-storage. A large amount of gas can be generated during the hydrocarbon gas generation stage. However, the abundance of noble gas (He and Ar) source elements, such as U, Th, and K, is very low in geological bodies, with an extremely long half-life and a very low rate of He or Ar generation (1 m<sup>3</sup> km&#x2212;3 year&#x2212;<sup>1</sup>). Furthermore, there is no peak of concentrated noble gas generation during the generation and storage processes. After the termination of the hydrocarbon generation process, the concentrations of He and Ar will inevitably be diluted with increasing CH<sub>4</sub> concentrations (<xref ref-type="bibr" rid="B31">Li et al., 2022</xref>).</p>
<p>The correlations between He and &#x3b4;<sup>13</sup>C are shown in <xref ref-type="fig" rid="F11">Figure 11</xref>. The <sup>4</sup>He content exhibits positive correlations with both &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub>, with WL and PS shale gas samples having the highest <sup>4</sup>He contents and heaviest &#x3b4;<sup>13</sup>C signatures. The PQ and DS shale gas samples have the lowest <sup>4</sup>He contents and the lightest &#x3b4;<sup>13</sup>C signatures, with JF shale gas samples having intermediate values.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Correlations between <sup>4</sup>He abundance and &#x3b4;<sup>13</sup>C. <bold>(A)</bold> <sup>4</sup>He vs &#x3b4;<sup>13</sup>C<sub>1</sub>. <bold>(B)</bold> <sup>4</sup>He vs &#x3b4;<sup>13</sup>C<sub>2</sub>.</p>
</caption>
<graphic xlink:href="feart-12-1401624-g011.tif"/>
</fig>
<p>The above coupled noble gas and stable isotope analyses reveal that the concentrations of He and Ar and &#x3b4;<sup>13</sup>C signatures of alkane gases are closely related to the accumulation and expulsion of shale gas. Generally, with an increasing pressure coefficient, shale gas preservation conditions become better, and high shale gas yields are attained, which will dilute the concentration of noble gases. Furthermore, better preservation conditions equate to less shale gas escaping during the gas generation period, causing &#x3b4;<sup>13</sup>C values to remain closer to their initial values. In contrast, shale gas preserved under poor conditions loses lighter hydrocarbons and isotopes, causing decreasing pressure coefficients and residual gases rich in heavy components. For shale gas reservoirs characterized by a wide range of pressure coefficients, such as the normally pressured Marcellus (pressure coefficient between 0.9 and 1.4; <xref ref-type="bibr" rid="B10">Chalmers et al., 2012</xref>) and highly pressured Haynesville (pressure coefficient between 1.61 and 2.07; <xref ref-type="bibr" rid="B21">Hammes et al., 2011</xref>) shale gas fields in North America, shale gas production exhibits a similar positive correlation with an increasing pressure coefficient to that found herein. Therefore, gas geochemical data may also provide effective indicators for shale gas production evaluation in these regions. Compared with tectonically stable regions, which exhibit fewer differences in gas geochemical characteristics, the noble gas and stable isotope distribution trends presented herein for tectonically active regions will be more effective in evaluating shale gas accumulation and expulsion in shale gas reservoirs worldwide.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>6 Conclusion</title>
<p>On the basis of our systematic study of the noble gas and stable isotope characteristics of normally pressured shale gas samples, which are part of a continuous pressure coefficient series from the southeastern Sichuan Basin, our preliminary conclusions are as follows:<list list-type="simple">
<list-item>
<p>(1) Stable &#x3b4;<sup>13</sup>C and &#x3b4;D data revealed that the shale gas originated from late-mature thermogenic generation, similar to shale gas from other production areas within the inner Sichuan Basin. As the pressure coefficient decreased, the hydrocarbon expulsion efficiency increased and residual gas abundance decreased. Shale gas from the basin-margin transition belt (PQ, DS, and JF areas) was characterized by a higher dryness ratio and a lighter &#x3b4;<sup>13</sup>C signature than shale gas from the extra-basin complex fold belt (WL and PS areas).</p>
</list-item>
<list-item>
<p>(2) Noble gas isotopes were used to reveal the origin of noble gas in the normally pressured shale gas system studied. The <sup>3</sup>He/<sup>4</sup>He ratios (R/Ra) ranged from 0.0045 to 0.013 Ra, and the <sup>40</sup>Ar/<sup>36</sup>Ar ratios were relatively high, suggesting that the shale gas was sourced from a typically radiogenic origin.</p>
</list-item>
<list-item>
<p>(3) High-gas-yield wells located in structural areas with higher <italic>in situ</italic> stress and higher pressure coefficients had low concentrations of He and Ar. The He content showed positive correlations with &#x3b4;<sup>13</sup>C<sub>1</sub> and &#x3b4;<sup>13</sup>C<sub>2</sub> values. Shale gas samples from the WL and PS areas were characterized by the highest He contents and heaviest &#x3b4;<sup>13</sup>C signatures. Our coupled noble gas and &#x3b4;<sup>13</sup>C and &#x3b4;D data revealed that the concentrations of He and Ar and &#x3b4;<sup>13</sup>C signatures of alkane gases are closely related to the accumulation and expulsion of shale gas.</p>
</list-item>
<list-item>
<p>(4) In tectonically stable regions, shale gas reservoirs normally exhibit favorable conditions with only relatively small differences in gas geochemistry. In tectonically active regions, shale gas geochemical characteristics exhibit substantial differences related to changes in structure. Better preservation conditions accompanied by lower-intensity tectonic movement normally result in higher shale gas production and a lower concentration of noble gases. The above results indicate that gas geochemical characteristics can be used as effective evaluation indicators for determining shale gas accumulation mechanisms in structurally active regions.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s7">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>JL: writing&#x2013;original draft and writing&#x2013;review and editing. YW: writing&#x2013;original draft and writing&#x2013;review and editing. DF: project administration and writing&#x2013;review and editing. ZW: writing&#x2013;review and editing. CW: writing&#x2013;original draft.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was conducted as part of a project funded by Sinopec East China Oil and Gas Company with grant no. 34600355-23-FW2099-0051.</p>
</sec>
<ack>
<p>The authors are grateful to Sinopec East China Oil and Gas Company for access to samples and associated data. They are sincerely grateful to the Chief Editor, Valerio Acocella, and the reviewers who provided valuable comments.</p>
</ack>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of interest</title>
<p>Authors JL, YW, and DF were employed by Sinopec East China Oil and Gas Company.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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