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<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">1491017</article-id>
<article-id pub-id-type="doi">10.3389/feart.2024.1491017</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>The relationship between helium-rich gas and regional shale in the Sichuan Basin, Southwest China</article-title>
<alt-title alt-title-type="left-running-head">He 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.2024.1491017">10.3389/feart.2024.1491017</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>He</surname>
<given-names>Jianglin</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="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1922634/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Shuangjian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<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/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Ankun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Dong</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gao</surname>
<given-names>Jian</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/2686659/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Xiaolin</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ahmed</surname>
<given-names>Mohamed S.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Zhenghe</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
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<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Lixia</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development</institution>, <institution>SINOPEC</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>SINOPEC Key Laboratory of Geology and Resources in Deep Stratum</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Chengdu Center</institution>, <institution>China Geological Survey (Geosciences Innovation Center of Southwest China)</institution>, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Key Laboratory for Sedimentary Basin and Oil and Gas Resources</institution>, <institution>Ministry of Natural Resources</institution>, <addr-line>Chengdu</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Geology and Geophysics Department</institution>, <institution>College of Science</institution>, <institution>King Saud University</institution>, <addr-line>Riyadh</addr-line>, <country>Saudi Arabia</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/1447721/overview">Hongjian Zhu</ext-link>, Yanshan 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/1004589/overview">Zhen Qiu</ext-link>, Research Institute of Petroleum Exploration and Development (RIPED), China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1585505/overview">Tianxu Guo</ext-link>, China Geological Survey, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2573715/overview">Ahmed Mansour</ext-link>, Southwest Petroleum University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jianglin He, <email>5hjl998@163.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>10</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1491017</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>09</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>09</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 He, Li, Zhao, Wang, Gao, Zhou, Ahmed, Wang and Zhu.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>He, Li, Zhao, Wang, Gao, Zhou, Ahmed, Wang and Zhu</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>Despite over 60 years of helium development in the Sichuan Basin, the mechanism of helium enrichment remains poorly understood. Helium-rich gas is primarily found as gas composition analysis in the fields. This study explores the relationship between helium distribution and two regional shale formations (the Qiongzhusi and Wufeng-Longmaxi formation), basing on the spatial distribution of these shales, structural profiles, and reported helium concentrations. Our findings indicate a typical trend of helium enrichment within the Sichuan Basin, where helium concentrations generally increase from the basin margins toward its center. The R/Ra ratios in the natural gas are consistently below 0.1, indicating that the helium mainly originates from the granite basement. The Wufeng-Longmaxi Formation is absent from central to western parts of this basin. The hydrocarbon generation intensity of this shale is 3,627.26 m&#xb3;/m<sup>2</sup>, which is 25,896.7 times greater than its helium generation intensity (0.14 m&#xb3;/m<sup>2</sup>). Its helium capture time is short (237 Ma). There is no obvious correlation between the distribution of helium concentration and Wufeng-Longmaxi shale. The Qiongzhusi shale extends across the entire Sichuan Basin. Its hydrocarbon generation intensity is approximately 57 m&#xb3;/m<sup>2</sup>, which is 267.4 times greater than its helium generation intensity (0.27 m&#xb3;/m<sup>2</sup>). Beneath this shale, the Pre-Sinian granite exhibits a helium generation intensity exceeding 0.51 m&#xb3;/m<sup>2</sup>, acting as the primary helium source rock in the basin. The helium capture time of Qiongzhusi shale is 435 Ma. Helium concentration increases as the burial depth of the Qiongzhusi shale decreases, and helium becomes isotopically lighter in the direction of fluid potential drop. This indicates that helium enrichment in the Sichuan Basin is predominantly influenced by the Qiongzhusi shale. From maximum burial depth to present, helium solubility in water has decreased by approximately 63.6% and 54.3% in the Wufeng-Longmaxi and Qiongzhusi shale respectively, suggesting that uplift processes contributed to helium degassing into gas reservoirs. The regional shale influenced the long-distance migration of helium, although faults can alter this pathway. Faults may either promote helium accumulation in shallow gas fields, such as the Jinqiu gas field, or lead to helium loss, as observed in the southeastern region of the Sichuan Basin.</p>
</abstract>
<kwd-group>
<kwd>regional shale</kwd>
<kwd>helium generation</kwd>
<kwd>helium enrichment</kwd>
<kwd>Sichuan Basin</kwd>
<kwd>hydrocarbon dilution</kwd>
</kwd-group>
<contract-num rid="cn001">No. 2024NSFSC0085</contract-num>
<contract-sponsor id="cn001">Sichuan Province Science and Technology Support Program<named-content content-type="fundref-id">10.13039/100012542</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Outstanding Youth Science Fund Project of National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/100014717</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Geoscience and Society</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Helium (He) is an exhaustible natural resource (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>) with the lowest melting and boiling points in the observable universe (<xref ref-type="bibr" rid="B20">Halford et al., 2022</xref>). It is considered an invaluable tracer to study a variety of physical processes and is essential in high-tech industry such as medical, aerospace, and atomic applications (<xref ref-type="bibr" rid="B45">Qin et al., 2023</xref>; <xref ref-type="bibr" rid="B53">Wang et al., 2023b</xref>). Annually, the decay of uranium (U) and thorium (Th) in the Earth&#x2019;s crust is estimated to produce approximately 8 &#xd7; 10<sup>6</sup> m<sup>3</sup> of <sup>4</sup>He (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>). As scientific and technological advancements accelerate, global helium consumption has been increasing by 6% annually (<xref ref-type="bibr" rid="B3">Anderson, 2018</xref>; <xref ref-type="bibr" rid="B53">Wang et al., 2023b</xref>). It is projected that helium consumption may peak around 2030, at approximately 2.83 &#xd7; 10<sup>6</sup> m<sup>3</sup> per year (<xref ref-type="bibr" rid="B41">Mohr and Ward, 2014</xref>), potentially leading to a global shortage (<xref ref-type="bibr" rid="B31">Liu et al., 2023</xref>). As a result, there has been a surge in global interest in helium exploration and development (<xref ref-type="bibr" rid="B21">Hao et al., 2023</xref>). Major global helium reserves are concentrated in Qatar (101 &#xd7; 10<sup>8</sup> m<sup>3</sup>), Algeria (82 &#xd7; 10<sup>8</sup> m<sup>3</sup>), Russia (68 &#xd7; 10<sup>8</sup> m<sup>3</sup>), and Canada (20 &#xd7; 10<sup>8</sup> m<sup>3</sup>). In contrast, China&#x2019;s helium resources estimated at 11 &#xd7; 10<sup>8</sup> m<sup>3</sup>, representing only 2% of the global reserves (<xref ref-type="bibr" rid="B53">Wang et al., 2023b</xref>). Despite this, China&#x2019;s helium demand continues to grow at an annual rate exceeding 10% (<xref ref-type="bibr" rid="B3">Anderson, 2018</xref>). Consequently, there has been a notable increase in the exploration and development of helium resources within China in recent years (<xref ref-type="bibr" rid="B59">Zhao et al., 2023a</xref>; <xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>).</p>
<p>The Sichuan Basin, a prominent petroliferous region in China, hosts numerous natural gas fields and has accumulated extensive helium content and geochemical data throughout its development and production history. In 1964, helium-rich gas was first exploited in the Weiyuan gas field, located in the central part of the Sichuan Basin (<xref ref-type="fig" rid="F1">Figure 1</xref>). In the Weiyuan gas field, the average helium concentration is about 1,598 ppm and helium reserve is estimated at 0.8 &#xd7; 10<sup>8</sup> m<sup>3</sup>. It was the China&#x2019;s sole commercially developed helium gas field at that time (<xref ref-type="bibr" rid="B24">Jia et al., 2022</xref>). Despite over 60 years of helium extraction from the Weiyuan gas field (<xref ref-type="bibr" rid="B57">Zhang et al., 2015</xref>), the mechanisms deriving helium enrichment in the Sichuan Basin remain poorly understood. Currently, helium-rich gas is primarily found through natural gas composition analyses, which obviously significantly restricts the exploration of helium (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Location map showing the data points of R/Ra of He in spring waters as well as major structural elements in the Sichuan Basin (<xref ref-type="bibr" rid="B14">Du et al., 2006</xref>). Additionally, gas field, and the location of the structural profile (thick red/orange lines) presented in <xref ref-type="fig" rid="F8">Figure 8</xref> are also shown.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g001.tif"/>
</fig>
<p>In recent years, advancements in understanding physical properties of helium and the geological conditions favorable for helium-rich gas deposits, have led to identify a strong correlation between helium enrichment and the presence of regional mudstone or gypsum layers (<xref ref-type="bibr" rid="B48">Tao et al., 2024</xref>). Studies have shown that organic-rich shales in the Sichuan Basin have higher concentrations of U and Th compared to granitic rocks (<xref ref-type="bibr" rid="B40">Meng et al., 2021</xref>), which has heightened interest in the potential helium reserves within these shales (<xref ref-type="bibr" rid="B7">Chen et al., 2023a</xref>; <xref ref-type="bibr" rid="B44">Nie et al., 2023</xref>; <xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>; <xref ref-type="bibr" rid="B58">Zhang et al., 2024b</xref>). However, the relationship between the helium-rich gas distribution and regional shale formations in the Sichuan Basin remains partially unraveled.</p>
<p>In this study, the distribution of helium resources in the Sichuan Basin by compiling available data. The objectives of this study are: (1) to investigate the relationship between helium-rich gas and shale layers ofthe Qiongzhusi and Wufeng-Longmaxi formation in the Sichuan Basin, based on the burial depth, structural profiles, and the distribution of helium gas; and (2) interpret the mechanisms driving helium enrichment in the Sichuan Basin to offer valuable insights for predicting the presence of helium-rich gas.</p>
</sec>
<sec id="s2">
<title>2 Geological setting</title>
<p>The Sichuan Basin, situated on the western margin of the Yangtze Craton in southwestern China (<xref ref-type="bibr" rid="B61">Zhu et al., 2020</xref>), spans an area of approximately 180,000 km<sup>2</sup> (<xref ref-type="bibr" rid="B37">Ma et al., 2007</xref>). This northeast-trending basin is bordered by the Longmenshan fold belt to the northwest, the Micangshan uplift to the north, the Dabashan fold belt to the northeast, the Hubei-Hunan-Guizhou fold belt to the southeast, and the Emeishan-Liangshan fold belt to the southwest (<xref ref-type="fig" rid="F1">Figure 1</xref>). Based on basement configuration, the Sichuan Basin is divided into six regions (<xref ref-type="bibr" rid="B30">Liang et al., 2023</xref>): the West depression, the Southwest low-flat structural belt, the South broom-shape structural belt, the East high and steep structural zone, the North low steep fold-and thrust belt and Central flat, and the gentle fold belt (<xref ref-type="fig" rid="F1">Figure 1</xref>). The basin originated as a late Mesozoic-Cenozoic foreland basin overlying an Ediacaran to middle Mesozoic passive margin and has experienced a complex tectonic and sedimentary history since the onset of the Chengjiang tectonic movement (ca. 700 Ma). This was followed by several significant tectonic events, including the Tongwan (ca. 570 Ma), Caledonian (ca. 439 Ma), Yunnan (ca. 270 Ma), Dongwu (ca. 256 Ma), Indosinian (ca. 205&#x2013;195 Ma), Yanshanian (ca. 180&#x2013;140 Ma), and Himalayan (ca. 80&#x2013;3 Ma) movements (<xref ref-type="bibr" rid="B36">Liu et al., 2016</xref>).</p>
<p>The Sichuan Basin comprises a 6,000 to 12,000 m thick sedimentary succession ranging from the Ediacaran to the Cenozoic, which overlies a pre-Sinian Proterozoic basement. This basement lies beyond the resolution of seismic profiles but is inferred to be predominantly granitic, based on sparse outcrop evidence (<xref ref-type="fig" rid="F2">Figure 2</xref>). From the late Sinian to late Triassic, the Sichuan Basin was mainly filled with marine strata. Subsequently, 3,000&#x2013;4,000 m of continental siliciclastic rocks were deposited in the basin since the Late Triassic (<xref ref-type="bibr" rid="B42">Nansheng et al., 2021</xref>). The two organic-rich layers are wide spread in Sichuan Basin, which are the lower Cambrian Qiongzhusi Formation(&#x404;<sub>1</sub>
<italic>q</italic>) and upper Ordovician Wufeng Formation to the lower Silurian Longmaxi Formation (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>). The dark shale of the Qiongzhusi Formation is about 50&#x2013;450 m thick and is found across most of the Sichuan Basin (<xref ref-type="bibr" rid="B42">Nansheng et al., 2021</xref>). The Wufeng-Longmaxi shale is approximately 0&#x2013;516 m thick in the southern and eastern parts of the basin (<xref ref-type="bibr" rid="B46">Qiu et al., 2022</xref>), but absent in the central and west Sichuan Basin (<xref ref-type="bibr" rid="B35">Liu et al., 2013</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The lithological association of the Sichuan Basin and the position of three detachment faults in stratigraphic record of the basin (<xref ref-type="bibr" rid="B22">He et al., 2020</xref>).</p>
</caption>
<graphic xlink:href="feart-12-1491017-g002.tif"/>
</fig>
<p>Large amounts of gas and oil have been discovered in the Sichuan Basin, spanning more than 25 conventional and tight oil and gas-bearing layers (including 18 marine facies) and 2 shale gas-producing layers (<xref ref-type="fig" rid="F2">Figure 2</xref>). From 1949 to 2019, over 6,487.8 &#xd7; 10<sup>8</sup> m<sup>3</sup> gas were produced (<xref ref-type="bibr" rid="B63">Zou et al., 2016</xref>). The Sichuan Basin currently holds the largest number of industrial oil and gas reservoirs found in China. The natural gas is mainly exploit out from the lower Cambrian Longwangmiao Formation and upper Sinian Dengying Formation. Notably, the Anyue gas field, the largest carbonate reservoir gas field in China, reported proven geological gas reserves of 1.17 &#xd7; 10<sup>12</sup> m<sup>3</sup> in the Dengying Formation as of 2019.</p>
<p>Shale gas in the Sichuan Basin is mainly exploited from the upper Ordovician Wufeng Formation to lower Silurian Longmaxi Formation (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>) (<xref ref-type="bibr" rid="B15">Gao et al., 2024</xref>), which accounts for over 95% of China&#x2019;s shale gas production (<xref ref-type="bibr" rid="B23">He et al., 2018</xref>). Additionally, the remaining recoverable resources of shale gas in the basin are estimated to be about 33.19 &#xd7; 10<sup>12</sup> m<sup>3</sup> (<xref ref-type="bibr" rid="B25">Jiang et al., 2023</xref>). In recent years, shale gas has also been discovered in the lower Cambrian Qiongzhusi Formation (&#x404;<sub>1</sub>
<italic>q</italic>), which is not only the mainly source rock for conventional natural gas in Longwangmiao Formation, but also with unconventional shale gas resource potential approximately 1.4 &#xd7; 10<sup>12</sup> m<sup>3</sup> (<xref ref-type="bibr" rid="B27">Li et al., 2021</xref>).</p>
</sec>
<sec id="s3">
<title>3 The distribution of helium in natural gas</title>
<sec id="s3-1">
<title>3.1 The horizontal distribution</title>
<p>The natural gas is exploited from over 25 distinct gas-bearing layers across different regions of the Sichuan Basin, with production layers varying by location (<xref ref-type="fig" rid="F3">Figure 3</xref>; <xref ref-type="table" rid="T1">Table 1</xref>). In the North low steep fold and thrust belt, natural gas is mainly exploited from the upper Triassic Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>), lower Permian (P<sub>1</sub>), upper Permian Changxing formation (P<sub>2</sub>
<italic>ch</italic>), and the upper Carboniferous Huanglong Formation (C<sub>2</sub>
<italic>h</italic>). Helium concentration in the Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>) ranges from 70 ppm to 400 ppm, with an average of 140 ppm, while it is in the range of 10&#x2013;290 ppm, with an average of 150 ppm in Permian strata. Helium concentration in the Huanglong Formation (C<sub>2</sub>
<italic>h</italic>) is 370 ppm.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The helium concentration in the different formations.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The helium concentration in the gas field in different tectonic units and formations summarized from the <xref ref-type="sec" rid="s13">Supplementary Material</xref>, <xref ref-type="table" rid="T1">Table 1</xref>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Formation</th>
<th colspan="4" align="center">North low steep fold-and- thrust belt</th>
<th colspan="4" align="center">West depression</th>
<th colspan="4" align="center">Southwest low-flat structural belt</th>
</tr>
<tr>
<th align="center">He&#x2f;ppm</th>
<th align="center">R&#x2f;Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">He&#x2f;ppm</th>
<th align="center">R&#x2f;Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">He&#x2f;ppm</th>
<th align="center">R&#x2f;Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">K</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">79</td>
<td align="center">&#x2d;</td>
<td align="center">0.69</td>
<td align="center">0.09</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">J</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">39&#x2013;410 (190)</td>
<td align="center">0.001&#x2013;0.002</td>
<td align="center">0.09&#x2013;1.7 (0.73)</td>
<td align="center">0.01&#x2013;0.44 (0.11)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">T</td>
<td align="center">70&#x2013;400 (140)</td>
<td align="center">0.009&#x2013;0.034</td>
<td align="center">0.02&#x2013;2.64 (0.69)</td>
<td align="center">0&#x2013;5.87 (1.33)</td>
<td align="center">37&#x2013;200 (190)</td>
<td align="center">0.001&#x2013;0.005</td>
<td align="center">0.1&#x2013;16.45 (1.39)</td>
<td align="center">0&#x2013;1.55 (0.76)</td>
<td align="center">180&#x2013;640 (410)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">P</td>
<td align="center">10&#x2013;290 (150)</td>
<td align="center">0.011&#x2013;0.012</td>
<td align="center">1.3&#x2013;1.47 (1.38)</td>
<td align="center">0.26&#x2013;0.78 (0.26)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">170</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">C</td>
<td align="center">370</td>
<td align="center">0.034</td>
<td align="center">0.31</td>
<td align="center">0.89&#x2013;1.11 (1.00)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">S</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">O</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">&#x404;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">Z</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Formation</th>
<th colspan="4" align="center">Central flat and gentle fold belt</th>
<th colspan="4" align="center">East high and steep structural zone</th>
<th colspan="4" align="center">South broom-shaped structural belt</th>
</tr>
<tr>
<th align="center">He&#x2f;ppm</th>
<th align="center">R&#x2f;Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">He/ppm</th>
<th align="center">R/Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">He/ppm</th>
<th align="center">R/Ra</th>
<th align="center">N<sub>2</sub>&#x2f;&#x25;</th>
<th align="center">CO<sub>2</sub>&#x2f;&#x25;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">K</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">J</td>
<td align="center">230&#x2013;2013 (799)</td>
<td align="center">0.012&#x2013;0.025</td>
<td align="center">0.2&#x2013;5.06 (1.26)</td>
<td align="center">0.01&#x2013;0.34 (0.12)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">T</td>
<td align="center">172&#x2013;469 (315)</td>
<td align="center">0.009&#x2013;0.019</td>
<td align="center">0.11&#x2013;19.94 (1.61)</td>
<td align="center">0.15&#x2013;1.65 (0.51)</td>
<td align="center">10&#x2013;470 (167)</td>
<td align="center">0.002&#x2013;0.035</td>
<td align="center">0.09&#x2013;1.36 (0.79)</td>
<td align="center">0.02&#x2013;32.26 (4.71)</td>
<td align="center">270&#x2013;600 (435)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">0.16&#x2013;0.23 (0.19)</td>
</tr>
<tr>
<td align="center">P</td>
<td align="center">30&#x2013;2,120 (1,152)</td>
<td align="center">0.022</td>
<td align="center">3.09&#x2013;6.49 (4.28)</td>
<td align="center">0.94&#x2013;3.89 (2.07)</td>
<td align="center">56&#x2013;1,500 (389)</td>
<td align="center">0.007&#x2013;0.028</td>
<td align="center">0.2&#x2013;1.44 (0.753)</td>
<td align="center">0.06&#x2013;11.7 (3.91)</td>
<td align="center">470&#x2013;650 (586)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">0.6&#x2013;0.78 (0.69)</td>
</tr>
<tr>
<td align="center">C</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">120&#x2013;947 (445)</td>
<td align="center">0.004&#x2013;0.024</td>
<td align="center">0.22&#x2013;4.65 (1.5)</td>
<td align="center">0.07&#x2013;5.29 (1.46)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">S</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">O</td>
<td align="center">1,670&#x2013;1750 (1710)</td>
<td align="center">&#x2d;</td>
<td align="center">0&#x2013;0.52 (0.27)</td>
<td align="center">6.02&#x2013;7.84 (6.93)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">&#x404;</td>
<td align="center">100&#x2013;2,620 (935)</td>
<td align="center">0.01&#x2013;0.03</td>
<td align="center">0.32&#x2013;10.92 (3.96)</td>
<td align="center">0&#x2013;6.45 (2.68)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
<tr>
<td align="center">Z</td>
<td align="center">90&#x2013;18770 (1,290)</td>
<td align="center">0.013&#x2013;0.041</td>
<td align="center">0.47&#x2013;37.37 (4.16)</td>
<td align="center">0.01&#x2013;10.88 (5.10)</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
<td align="center">&#x2d;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>In the West depression, natural gas is mainly exploited from Cretaceous, the Middle and upper Jurassic Suining Formation (J<sub>2</sub>
<italic>sn</italic>) and Penglaizhen Formation (J<sub>3</sub>
<italic>p</italic>), and the upper Triassic Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>). The helium concentration in Cretaceous is 79 ppm. For the Jurassic strata, helium levels range from 39 to 410 ppm, with an average of 190 ppm. In the Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>), helium concentrations range from 37 to 200 ppm, averaging 190 ppm.</p>
<p>In the Southwest low-flat structural belt, natural gas is mainly extracted from Triassic and Permian formations. Helium concentrations in the Triassic range from 180 to 640 ppm, with an average of 410 ppm. In the Permian, the helium concentration is around 170 ppm.</p>
<p>In the Central flat and gentle fold belt, natural gas is produced from almost all sedimentary strata (<xref ref-type="table" rid="T1">Table 1</xref>). Helium concentrations in the Jurassic range from 230 to 2013 ppm (average 799 ppm). The Triassic shows helium concentrations of 172&#x2013;469 ppm (average 315 ppm). Helium concentration in Permian ranges from 30&#x2013;2,120 ppm, (average 1,152 ppm), while the Ordovician contains helium concentrations of 1,670&#x2013;1,750 ppm (average 1,710 ppm). The Cambrian and Sinian formations show helium concentration in the ranges of 100&#x2013;2,620 ppm (average 935 ppm) and 90&#x2013;18,770 ppm (average 1,290 ppm).</p>
<p>In the East high and steep structural zone, natural gas is mainly sourced from the upper Triassic Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>), Permian and the upper Carboniferous Huanglong Formation (C<sub>2</sub>
<italic>h</italic>). Helium concentration in the Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>) ranges of 10&#x2013;470 ppm (average 167 ppm), compared to 56&#x2013;1,500 ppm (average of 389 ppm) for the Permian. Helium concentration in the Huanglong Formation (C<sub>2</sub>
<italic>h</italic>) in the range of 120&#x2013;947 ppm (average 445 ppm).</p>
<p>In the South broom-shaped structural belt, natural gas is mainly extracted from the lower Triassic Feixianguan (T<sub>1</sub>
<italic>f</italic>) and Jialingjiang Formation (T<sub>1</sub>
<italic>j</italic>), and the lower Permian Maokou Formation (P<sub>1</sub>
<italic>m</italic>). Helium concentration in Triassic ranges from 270 to 600 ppm (average 435 ppm), while in the Permian helium concentration is in the range of 470&#x2013;650 ppm (average 586 ppm).</p>
<p>Overall, helium-rich gas fields (&#x2265;500 ppm) are predominantly located in the Central flat and gentle fold belt (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>). The helium concentration tends to increase from the periphery toward the center of the Sichuan Basin (Weiyuan), indicating that the central part of the basin is more favorable for helium enrichment.</p>
<p>In the Sichuan Basin, shale gas is primarily extracted from the Wufeng-Longmaxi Formation (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>). In the southern part of the basin, helium concentrations in shale gas varies from 173 to 414 ppm (average below 300 ppm), as observed in the Weirong, Changning, and Zhaotong shale gas fields (<xref ref-type="table" rid="T2">Table 2</xref>). Other shale gas fields, such as those in Fuling, Weiyuan, and Fushun-Yongchuan, have an average helium concentration of approximately 400 ppm. In the eastern Sichuan Basin, helium concentrations are somewhat higher, with the Pengshui shale gas field exhibiting a concentration of about 993 ppm. Additionally, helium concentrations in the lower Cambrian Qiongzhusi shale (&#x404;<sub>1</sub>
<italic>q</italic>) are greater than those in the Wufeng-Longmaxi (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>) shale, reaching up to 1,400 ppm. Overall, there is no distinct pattern in the distribution of helium across shale gas fields in the basin.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>The He, N<sub>2</sub> and CO<sub>2</sub> concentration and R/Ra in the different shale gas fields.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Shale gas</th>
<th align="center">He/ppm</th>
<th align="center">R/Ra</th>
<th align="center">N<sub>2</sub>/%</th>
<th align="center">CO<sub>2</sub>/%</th>
<th align="center">References</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Fuling(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">199&#x2013;474 (377)</td>
<td align="center">0.007&#x2013;0.04</td>
<td align="center">0.24&#x2013;1.36 (0.67)</td>
<td align="center">0&#x2013;1.16 (0.27)</td>
<td align="center">
<xref ref-type="bibr" rid="B12">Dai et al. (2016),</xref> <xref ref-type="bibr" rid="B7">Chen et al. (2023a),</xref> <xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Weiyuan (S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">228&#x2013;12522.8 (411)</td>
<td align="center">0.02&#x2013;0.03</td>
<td align="center">0.01&#x2013;2.95 (0.93)</td>
<td align="center">0.02&#x2013;1.16 (0.83)</td>
<td align="center">
<xref ref-type="bibr" rid="B12">Dai et al. (2016),</xref> <xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Weiyuan (&#x404;)</td>
<td align="center">1,400</td>
<td align="center">0.02</td>
<td align="center">-</td>
<td align="center">-</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Chen et al. (2023b)</xref>
</td>
</tr>
<tr>
<td align="center">Pengshui(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">986&#x2013;1,000 (993)</td>
<td align="center">0.03</td>
<td align="center">0.05&#x2013;0.15 (0.10)</td>
<td align="center">0.035&#x2013;0.93 (0.64)</td>
<td align="center">
<xref ref-type="bibr" rid="B12">Dai et al. (2016),</xref> <xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Fushun-Yongchuan(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">410</td>
<td align="center">0.02</td>
<td align="center">0.1&#x2013;4.05 (1.17)</td>
<td align="center">0&#x2013;1.48 (0.97)</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Weirong(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">201&#x2013;214 (208)</td>
<td align="center">0.027</td>
<td align="center">0.44&#x2013;0.72 (0.59)</td>
<td align="center">1.48&#x2013;1.68 (1.58)</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Changning(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">180&#x2013;353 (225)</td>
<td align="center">0.02&#x2013;0.03</td>
<td align="center">0&#x2013;0.51 (0.31)</td>
<td align="center">0&#x2013;0.91 (0.36)</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Zhaotong(S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">173&#x2013;414 (282)</td>
<td align="center">0.01&#x2013;0.04</td>
<td align="center">0.03&#x2013;0.63 (0.41)</td>
<td align="center">0&#x2013;0.24 (0.1)</td>
<td align="center">
<xref ref-type="bibr" rid="B8">Chen et al. (2023b),</xref> <xref ref-type="bibr" rid="B44">Nie et al. (2023)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 The vertical distribution</title>
<p>As shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, helium concentrations are highest in the Sinian Dengying Formation (Z<sub>2</sub>
<italic>d</italic>) and lowest in the Cretaceous deposits. Vertically, there is a slight decrease in helium concentration upward, suggesting that helium primarily originates from deeper layers. High helium concentration layers (&#x2265;1,000 ppm) are predominantly found in the deeper strata, such as the Sinian, Cambrian, Permian, and a shallow layer (J<sub>2</sub>) in the Jinqiu gas field. These helium-rich layers are interbedded with helium-poor layers (&#x3c;500 ppm), indicating that helium enrichment is influenced by factors beyond vertical diffusion, including other geological processes.</p>
<p>It has been proved that the gas in Dengying Formation (Z<sub>2</sub>
<italic>d</italic>) originated from the Qiongzhusi shale (&#x404;<sub>1</sub>
<italic>q</italic>) (<xref ref-type="bibr" rid="B62">Zhu, 2006</xref>). While helium concentrations in the Cambrian are lower than in the Dengying Formation, they are higher compared to those in the Ordovician and middle-upper Cambrian gas reservoirs. This suggests that the Cambrian Qiongzhusi Formation may influenced helium enrichment in Sinian gas reservoirs. Conversely, gas from the Huanglong (C<sub>2</sub>
<italic>h</italic>) and Maokou formation (P<sub>1</sub>
<italic>m</italic>) originated from the Wufeng-Longmaxi shale (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>) (<xref ref-type="bibr" rid="B62">Zhu, 2006</xref>). However, helium concentrations in the Wufeng-Longmaxi shale (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>) are considerably lower than in the double layers, indicating that the influence of the Wufeng-Longmaxi shale on vertical helium diffusion is limited.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Source of helium</title>
<sec id="s4-1">
<title>4.1 Resource identification initiative</title>
<p>Helium in natural gas is derived from three types of sources, as indicated by the <sup>3</sup>He/<sup>4</sup>He ratio (R): (1) atmospheric helium, with R&#x3d;1.4 &#xd7;10<sup>&#x2212;6</sup> (Ra), is mainly released through volcanic eruptions, magma degassing, and rock weathering (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B6">Chen et al., 2021</xref>); (2) mantle-derived helium, originated volatile compounds that entered the sedimentary crust along fault systems in tectonically active regions. This type of helium usually has a <sup>3</sup>He/<sup>4</sup>He ratio greater than Ra (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>). (3) crust-derived helium is radiogenic <sup>4</sup>He produced by the decay of U, Th, and other elements in crustal rocks and minerals (<xref ref-type="bibr" rid="B26">Kennedy et al., 2002</xref>), and often shows a <sup>3</sup>He/<sup>4</sup>He ratio of 0.02 Ra. If the R/Ra ratio exceeded 0.1, it indicates that mantle-derived helium constitutes more than 12% of the total helium (<xref ref-type="bibr" rid="B59">Zhao et al., 2023a</xref>).</p>
<p>In the Sichuan Basin (<xref ref-type="fig" rid="F4">Figure 4A</xref>), the R/Ra ratio in gas fields varies from 0.002 to 0.05 (average 0.016). For shale gas, the R/Ra ratio ranges from 0.007 to 0.04 (average 0.015). All these values are below 0.1, indicating that the helium in the Sichuan Basin is predominantly crust-derived. However, mantle-derived helium has been reported in several hot springs in the western Sichuan Basin (<xref ref-type="bibr" rid="B14">Du et al., 2006</xref>), with R/Ra values ranging from 0.79 to 2.59 (<xref ref-type="fig" rid="F1">Figure 1</xref>). Additionally, R/Ra ratios of 0.23 were observed in the Longmenshan Fold Belt (<xref ref-type="bibr" rid="B14">Du et al., 2006</xref>). The highest R/Ra value observed in gas fields is 0.05, as observed in the Xinchang and Xiaoquan gas fields, suggesting a minor contribution of mantle-derived helium in the western depression.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> The scatter diagram of R/Ra, <bold>(B)</bold> The scatter diagram showing the correlation between N<sub>2</sub> and helium concentration, <bold>(C)</bold> The scatter diagram showing the correlation between CO<sub>2</sub>/<sup>3</sup>He and helium concentration, <bold>(D)</bold> The correlation between the CH<sub>4</sub>/<sup>3</sup>He and R/Ra, where EPR is East Pacific Rise, ZO is Zambales Ophiolite in the Philippines (<xref ref-type="bibr" rid="B11">Dai et al., 2017</xref>).</p>
</caption>
<graphic xlink:href="feart-12-1491017-g004.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>4.2 Origin of N<sub>2</sub>, CO<sub>2</sub> and CH<sub>4</sub>
</title>
<p>Nitrogen (N&#x2082;) in natural gas originates from several sources, including primordial nitrogen from the mantle, volcanic magma, radioactivity, the atmosphere, sedimentary organic matter, and clay minerals (<xref ref-type="bibr" rid="B34">Liu et al., 2006</xref>; <xref ref-type="bibr" rid="B59">Zhao et al., 2023a</xref>; <xref ref-type="bibr" rid="B39">Mansour et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Mansour and Wagreich, 2022</xref>). <xref ref-type="bibr" rid="B59">Zhao et al. (2023a)</xref> indicated that N&#x2082; in the central Sichuan Basin derived from sedimentary organic matter in argillaceous source rocks, with N&#x2082; content being proportional to the maturity of the organic matter. Conversely, <xref ref-type="bibr" rid="B53">Wang et al. (2023b)</xref> suggested that the nitrogen is homologous with helium and that it originated from granite or the metamorphic rock basement of the basin. Hence, consequently, N&#x2082; concentration is often used as an indicator of helium origin in natural gas.</p>
<p>In the Sichuan Basin, N&#x2082; concentration varies widely, ranging from 0.01% to 37.37% (<xref ref-type="fig" rid="F4">Figure 4B</xref>). For shale gas, N&#x2082; concentrations range from 0.01% to 4.05% (average 0.65%). In contrast, N&#x2082; concentrations in gas fields variy from 0.02% to 37.37% (average 2.39%). This indicates that N&#x2082; is significantly more abundant in natural gas than in shale gas, suggesting that N&#x2082; in the Sichuan Basin did not primarily originate from sedimentary organic matter in hydrocarbon source rocks.</p>
<p>In the Jinqiu gas field, natural gas predominantly comes from the Xujiahe Formation (T<sub>3</sub>
<italic>x</italic>) (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>). Despite the lower maturity of this gas compared to the shale gas in the Wufeng-Longmaxi Formation (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>), N&#x2082; concentrations in the Jinqiu gas field range from 0.2% to 5.06% (average 1.27%), which are higher than the average 0.65% observed in the Wufeng-Longmaxi shale. This provides further evidence that N&#x2082; in the Jinqiu gas field is likely derived from granite or the metamorphic rock basement of the Sichuan Basin (<xref ref-type="bibr" rid="B53">Wang et al., 2023b</xref>), rather than from sedimentary organic matter.</p>
<p>In the Weiyuan gas field, N&#x2082; concentrations range from 3.09% to 37.37%, (average 8.16%), which is notably higher than in other gas fields. This indicates that the N&#x2082; in the Weiyuan gas field likely derived from the granite basement of the Sichuan Basin. Conversely, N&#x2082; concentrations are lowest in the basin periphery, with values in the Pengshui, Zhaotong, and Changning shale gas fields being less than 0.63% (average 0.34%). This suggests that minimal N&#x2082; in these areas is derived from the granitic basement of the Sichuan Basin.</p>
<p>Overall, it can be inferred that the source of helium differs between within and outside the Sichuan Basin. Within the basin, helium primarily originated from the granite basement of the Sichuan Basin, whereas in the basin periphery, helium sources differ, with minimal contribution from the basin basement.</p>
<p>It is accepted that both CO<sub>2</sub> and low helium concentration (&#x3c;200 ppm) are mantle-derived (<xref ref-type="bibr" rid="B11">Dai et al., 2017</xref>; <xref ref-type="bibr" rid="B52">Wang et al., 2023a</xref>). A R/Ra ratio greater than 2.0 can serve as an indicator for identifying CO&#x2082; gas fields. As shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>, no samples in the Sichuan Basin have R/R<sub>a</sub> ratios &#x3e;0.1, and no CO&#x2082; gas fields have been discovered in this region, indicating that helium in the Sichuan Basin is primarily crust-derived.</p>
<p>Globally, gases from mid-ocean ridge basalts exhibited a similar CO&#x2082;/&#xb3;He molar ratio, averaging 2 &#xd7; 10&#x2079;. In eastern China, as the molar ratio of CO&#x2082; to &#xb3;He decreases, helium concentration increases by three orders of magnitude in gas reservoirs (<xref ref-type="bibr" rid="B53">Wang et al., 2023b</xref>). <xref ref-type="bibr" rid="B66">Wang et al. (2022)</xref> concluded that the loss of CO&#x2082; is the primary mechanism driving helium enrichment in gas reservoirs. CO&#x2082; is deposited as carbonate veins when the partial pressure and temperature decrease as fluids migrate from deep to shallow layers. In the East High and Steep Structure Zone (<xref ref-type="fig" rid="F1">Figure 1</xref>), the molar ratio of CO&#x2082; to &#xb3;He decreases from 2 &#xd7; 10<sup>11</sup> to 2 &#xd7; 10&#x2078;, and helium concentrations increase proportionally with the loss of CO&#x2082; (<xref ref-type="fig" rid="F4">Figure 4C</xref>). This phenomenon is likely related to several deep faults in the East High and Steep Structure Zone (<xref ref-type="bibr" rid="B23">He et al., 2018</xref>), which facilitated the migration of deep-layer fluids to shallower layers.</p>
<p>Based on extensive CH&#x2084;/&#xb3;He data from various global locations (<xref ref-type="bibr" rid="B13">Dai et al., 2008</xref>), it has been concluded that methane with CH&#x2084;/&#xb3;He ratios &#x2264;10&#x2076;, &#x2265; 10<sup>11</sup>, and 10&#x2076;-10<sup>1</sup>&#x2070; are indicative may be of either organic or inorganic origin (<xref ref-type="bibr" rid="B11">Dai et al., 2017</xref>). As shown in <xref ref-type="fig" rid="F4">Figure 4D</xref>, gas in the Sichuan Basin is close to the crustal end (CH<sub>4</sub>/<sup>3</sup>He &#x3d; 3 &#xd7; 10<sup>13</sup>, R/Ra &#x3d; 0.01) (<xref ref-type="bibr" rid="B43">Ni et al., 2014</xref>), and is far from the abiotic values observed in geothermal fluids from the 21&#xb0;N East Pacific Rise (EPR) (<xref ref-type="bibr" rid="B11">Dai et al., 2017</xref>) and gas seeps from the Zambales Ophiolite in the Philippines (ZO) (<xref ref-type="bibr" rid="B1">Abrajano et al., 1988</xref>). The highest CH&#x2084;/&#xb3;He ratios are found in the North Low Steep Fold and Thrust Belt, ranging from 5.5 &#xd7; 10<sup>11</sup> to 5.8 &#xd7; 10<sup>1</sup>&#xb3;, while the lowest CH&#x2084;/&#xb3;He ratios are observed in the Weiyuan gas field, ranging from 5.6 &#xd7; 10<sup>1</sup>&#x2070; to 2.8 &#xd7; 10<sup>11</sup>. The CH&#x2084;/&#xb3;He ratio in the Anyue-Moxi gas field falls between these values. This suggests that some methane in the Weiyuan gas field has an inorganic origin (<xref ref-type="bibr" rid="B9">Dai, 2003</xref>). The proportion of inorganic methane increases from the North Low Steep Fold and Thrust Belt to the Weiyuan gas field in the Central Flat and Gentle Fold Belt, indicating that helium may accumulate with methane from the North Low Steep Fold and Thrust Belt to the Weiyuan gas field.</p>
</sec>
<sec id="s4-3">
<title>4.3 The source of noble gases</title>
<p>Generally, <sup>20</sup>Ne in natural gas originates from the atmosphere and enters the crust through groundwater recharge (<xref ref-type="bibr" rid="B64">Byrne et al., 2021</xref>). <sup>20</sup>Ne in crustal fluids rarely derived from crustal or mantle origins. However, <sup>4</sup>He in the crust is primarily radiogenic (<xref ref-type="bibr" rid="B65">Ballentine and Burnard, 2002</xref>). In Weiyuan shale gas field, <sup>20</sup>Ne concentrations range from 3.64 &#xd7; 10<sup>&#x2212;9</sup> to 1.14 &#xd7; 10<sup>&#x2212;7</sup>, and there is a strong linear relationship with <sup>4</sup>He concentration (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9428). A similar relationship is observed in the Jinqiu gas field(<italic>R</italic>
<sup>2</sup> &#x3d; 0.85), suggesting that <sup>20</sup>Ne and <sup>4</sup>He may have similar migration processes, likely involving dissolution in groundwater and transport with water (<xref ref-type="bibr" rid="B56">Zhang et al., 2024a</xref>).</p>
<p>In contrast, this linear relationship is not evident in the Changning shale gas field (<italic>R</italic>
<sup>2</sup> &#x3d; 0.123), indicating that helium may not primarily migrate with groundwater flow in this field (<xref ref-type="fig" rid="F5">Figure 5A</xref>). The <sup>4</sup>He<sup>/20</sup>Neratios in the Sichuan Basin, ranging from 3,951 to 67,228, are significantly higher than the atmospheric ratio of 0.32 (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>). This suggests that atmospheric helium can be disregarded. Moreover, all data points fall within the range of crust-derived helium, with less than 0.5% mantle-derived helium (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>) indicating that mantle-derived helium constitutes less than 0.5% of the total helium in the Sichuan Basin (<xref ref-type="fig" rid="F5">Figure 5B</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> The correlation between the <sup>20</sup>Ne and <sup>4</sup>He, <bold>(B)</bold> The scatter diagram of <sup>4</sup>He/<sup>20</sup>Ne and R/Ra, showing the helium mantle-derived is less than 0.5%.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s5">
<title>5 Helium generation condition</title>
<p>The primary source of helium in natural gas is attributed to the radioactive decay of U and Th in the underlying strata. The rate of radioactive decay is not affected by pressure or temperature. Instead, the amount of helium generated depends primarily determined on the concentrations of U and Th in the strata, as well as the age and volume of these strata (<xref ref-type="bibr" rid="B5">Brown, 2010</xref>; <xref ref-type="bibr" rid="B32">Liu et al., 2022</xref>).</p>
<p>The total helium generation can be estimated as follows:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">v</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.207</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>13</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">U</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.868</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>14</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>Th</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where, <italic>Q</italic>
<sub>He</sub> is the amount of helium resource (m<sup>3</sup>),</p>
<p>
<italic>&#x3c1;</italic>
<sub>He</sub> is the helium generation intensity (m<sup>3</sup>/t),</p>
<p>
<italic>v</italic>
<sub>rock</sub> is the volume of the helium source rock (m<sup>3</sup>),</p>
<p>
<italic>&#x3c1;</italic>
<sub>s</sub> is the density of the helium source rock (t/m<sup>3</sup>),</p>
<p>
<italic>T</italic>
<sub>
<italic>rock</italic>
</sub> is the age of the helium source rock (a), <list list-type="simple">
<list-item>
<p>[U] is the concentration of the U in the helium source rock (ppm),</p>
</list-item>
<list-item>
<p>[Th] is the concentration of the Th in the helium source rock (ppm).</p>
</list-item>
</list>
</p>
<p>The age of Wufeng-Longmaxi shale is estimated to be 442 Ma, according to the International Chronostratigraphic Chart 2023 (<xref ref-type="bibr" rid="B7">Chen et al., 2023a</xref>). The density of the Wufeng-Longmaxi shale ranges from 2.58 to 2.60 t/m<sup>3</sup> (<xref ref-type="bibr" rid="B19">Guo, 2014b</xref>). Uconcentrations in this shale vary from 1.1 to 60.1 ppm, with an average 10.6 ppm (<xref ref-type="bibr" rid="B40">Meng et al., 2021</xref>). Th concentrations range from 1.02 to 137.5 ppm, with an average of 16.1 ppm. The thickness of organic-rich shale (TOC&#x3e;2 wt%) is ranging from 20 to 70 m (<xref ref-type="bibr" rid="B25">Jiang et al., 2023</xref>). According to the <xref ref-type="disp-formula" rid="e1">formulas 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>, it can be calculated that, the helium generation intensity of Wufeng-Longmaxi shale is less than 0.14 m<sup>3</sup>/m<sup>2</sup> (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>The helium generation condition of Wufeng-Longmaxi shale, Qiongzhusi shale, and Pre-Sinian granite.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Formation</th>
<th align="center">Lithology</th>
<th align="center">U (ppm)</th>
<th align="center">Th (ppm)</th>
<th align="center">
<italic>&#x3c1;</italic>
<sub>He</sub> (&#xd7;10<sup>&#x2212;12 </sup>t/m<sup>3</sup>)</th>
<th align="center">Thickness (m)</th>
<th align="center">
<italic>&#x3c1;</italic>
<sub>s</sub> (t/m<sup>3</sup>)</th>
<th align="center">
<italic>T</italic>
<sub>rock</sub> (a)</th>
<th align="center">Helium generation intensity (m<sup>3</sup>/m<sup>2</sup>)</th>
<th align="center">Hydrocarbon generation (m<sup>3</sup>/t)</th>
<th align="center">Hydrocarbon generation intensity (m<sup>3</sup>/m<sup>2</sup>)</th>
<th align="center">Dilution of hydrocarbon generation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Wufeng-Longmaxi (O<sub>3</sub>
<italic>w</italic>-S<sub>1</sub>
<italic>l</italic>)</td>
<td align="center">shale</td>
<td align="center">10.6</td>
<td align="center">16.1</td>
<td align="center">1.74117</td>
<td align="center">70</td>
<td align="center">2.6</td>
<td align="center">442,000,000</td>
<td align="center">0.14</td>
<td align="center">19.93</td>
<td align="center">3,627.26</td>
<td align="center">25,896.7</td>
</tr>
<tr>
<td align="center">Qiongzhusi (&#x404;<sub>1</sub>
<italic>q</italic>)</td>
<td align="center">shale</td>
<td align="center">12.8</td>
<td align="center">10.8</td>
<td align="center">1.8547</td>
<td align="center">80</td>
<td align="center">2.66</td>
<td align="center">540,000,000</td>
<td align="center">0.21</td>
<td align="center">-</td>
<td align="center">57</td>
<td align="center">267.4</td>
</tr>
<tr>
<td align="center">Pre-Sinian (A<sub>nz</sub>)</td>
<td align="center">granite</td>
<td align="center">6.7</td>
<td align="center">32.5</td>
<td align="center">1.74079</td>
<td align="center">120</td>
<td align="center">2.63</td>
<td align="center">794,000,000</td>
<td align="center">0.44</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">0</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The age of the Qiongzhusi Formation is estimated to be 540 Ma (<xref ref-type="bibr" rid="B7">Chen et al., 2023a</xref>). Its density ranges from 2.54 to 2.66 t/m<sup>3</sup>. The concentration of U ranges from 2.3 to 30 ppm (average 12.8 ppm). Th concentrations range from 4.93 to 13 ppm (average 10.8 ppm) (<xref ref-type="bibr" rid="B55">Xiao et al., 2022</xref>). The thickness of Qiongzhusi shale generally ranges from 100 to 300 m, with organic-rich shale (TOC &#x3e;2 wt%) exceeding 80 m in thickness found as a strip along the Mianyang-Zigong-Changning region (<xref ref-type="fig" rid="F1">Figure 1</xref>). In most areas of the Sichuan Basin, the organic-rich shale of the Qiongzhusi Formation is less than 80 m thick (<xref ref-type="bibr" rid="B25">Jiang et al., 2023</xref>). According to the <xref ref-type="disp-formula" rid="e1">formulas 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>, it can be calculated that, the helium generation intensity of the Qiongzhusi shale is approximately 0.27 m<sup>3</sup>/m<sup>2</sup> (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<p>U-Pb dating of the Pre-Sinian granite drilled in Weiyuan gas field (well W117) indicates an age of 794 &#xb1; 11 Ma (<xref ref-type="bibr" rid="B17">Gu et al., 2015</xref>). The density of this granite ranges from 2.63 to 3.07 t/m<sup>3</sup> (<xref ref-type="bibr" rid="B18">Guo, 2014a</xref>). U concentrations in the granite range from 3.0 to 12.3 ppm, with an average of 6.7 ppm, while Th concentrations range from 21.8 to 49.1 ppm, with an average of 32.5 ppm (<xref ref-type="bibr" rid="B17">Gu et al., 2015</xref>). Although no wells have yet been drilled through the Pre-Sinian granite across the Sichuan Basin, the granite thickness is more than 120 m in wells W28 and W117, suggesting that it exceeds 120 m in thickness (<xref ref-type="bibr" rid="B17">Gu et al., 2015</xref>). Given that the crust thickness in the Sichuan Basin ranges from 40 to 45 km (<xref ref-type="bibr" rid="B51">Wang et al., 2017</xref>), the granite is likely several kilometers thick. For this analysis, we consider a thickness of 120 m. According to the <xref ref-type="disp-formula" rid="e1">formulas 1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>, it can be calculated that, the helium generation intensity of the Pre-Sinian granite is at least 0.51 m&#xb3;/m<sup>2</sup> (<xref ref-type="table" rid="T3">Table 3</xref>). Therefore, it can be concluded that the Pre-Sinian granite is the primary source rock for helium in the Sichuan Basin.</p>
</sec>
<sec sec-type="discussion" id="s6">
<title>6 Discussion</title>
<sec id="s6-1">
<title>6.1 The spatial matching relationship between the helium and reginal shale layer</title>
<sec id="s6-1-1">
<title>6.1.1 The coupling relationship between helium concentration and the shale layer</title>
<p>As shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, the Wufeng-Longmaxi shale is absent in the central to western parts of the Sichuan Basin. The burial center is located in the northeastern Sichuan Basin, where the burial depth of the Wufeng-Longmaxi shale exceeds 6,000 m, dipping toward the southwest. The shallowest area is near the Weiyuan gas field, with exposures in the core of the Huayingshan anticline in Guang&#x2019;an city. In the deep (northeast Sichuan Basin) and shallow areas, there are gas fields with low helium concentrations (&#x3c;200 ppm) as well as those with moderate helium concentrations (200&#x2013;500 ppm). There is no obvious correlation between helium concentration in these gas fields and the spatial distribution of the Wufeng-Longmaxi shale. Meanwhile, the helium-rich gas fields (&#x2265;500 ppm) are located in areas where the Wufeng-Longmaxi shale is absent, suggesting that helium enrichment in the Sichuan Basin is not significantly controlled by the presence of the Wufeng-Longmaxi shale.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The burial depth map of Wufeng-Longmaxi shale and the distribution of natural gas.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g006.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, there are three burial centers of the Qiongzhusi Formation within the Sichuan Basin, located near Mianyang city, the Puguang gas field, and the Zhangjiachang gas field, with maximum burial depths exceeding 10,000 m. In these centers, the gas fields are predominantly characterized by low helium concentrations (&#x3c;200 ppm). As the burial depth of the Qiongzhusi Formation decreases toward the Weiyuan area, helium concentrations in the gas fields gradually increase. Prior to the peak helium concentrations in the Weiyuan gas field, the gas migration pathways were highly compatible with the regional dome structure formed by the Qiongzhusi shale. This indicates that helium enrichment in the Sichuan Basin is significantly controlled by the presence of the Qiongzhusi shale.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The burial depth map of Qiongzhusi shale and the distribution of natural gas.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g007.tif"/>
</fig>
<p>The correlation between the helium concentration and the distribution of Qiongzhusi shale is clearly presented in the structural profiles too (<xref ref-type="fig" rid="F8">Figure 8</xref>). In the NS-NE structural profile, as the Qiongzhusi shale becomes progressively shallower toward the southwest, helium concentrations increases from 166 ppm in the Yuanba gas field in the northeastern part of the basin to 503 ppm in the Moxi gas field, ultimately reaching a high enrichment of 2,475 ppm in the Weiyuan gas field. Similarly, in the NW-SE structural profile, helium concentrations also show a tendency to accumulate toward the Ziyang gas field, where they reach up to 1,158 ppm. In contrast, the gas fields in the West Depression and South Broom-Shaped Structural Belt re characterized by low helium concentrations. This trend is consistent with the accumulation patterns of oil and gas within the basin. However, in the southeastern region of the NW-SE structural profile, the presence of several steep-dip faults in the Qiongzhusi Formation being much flatter compared to the northwest region. This geological variation leads to a broader range of helium concentrations in the southeast, which are slightly higher than those in the northwest.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The structural profile in the NE and SE direction basing on the seismic tectonic interpretation and the wells. The distribution of sectional lines in the surface is showing in the <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g008.tif"/>
</fig>
</sec>
<sec id="s6-1-2">
<title>6.1.2 The coupling relationship between helium isotope and the shale layer</title>
<p>It is well established that Earth&#x2019;s <sup>3</sup>He is primordial, captured from the solar nebula during the planet&#x2019;s formation (<xref ref-type="bibr" rid="B49">Tao et al., 2019</xref>). In contrast, <sup>4</sup>He found in the Earth&#x2019;s crust is predominantly radiogenic. As mentioned above, the helium in the Sichuan Basin is crust-derived, primarily originating from the Pre-Sinian granite. Therefore, in the absence of mantle-derived helium introduced via deep faults, the <sup>3</sup>He/<sup>4</sup>He ratio in the Sichuan Basin would likely remain relatively uniform.</p>
<p>However, during migration, helium undergoes isotopic fractionation due to differences in the densities of its isotopes. Over long distances, this fractionation causes in an enrichment of the lighter isotope (<sup>3</sup>He) in the helium-rich gas fields. As shown in <xref ref-type="fig" rid="F9">Figure 9A</xref>, the R/Ra ratio exhibits an increasing trend along the helium accumulation pathways in the north-south direction (from the Zhongba to Bajiaochang to Moxi to Weiyuan gas fields). Similarly, in the northeast-southeast direction (from Huangcaoba, Xiangguosi, Hechuan, Moxi to Weiyuan) (<xref ref-type="fig" rid="F9">Figure 9B</xref>), the R/Ra ratio also increases along the helium accumulation paths. This indicates that helium becomes isotopically lighter in the direction of the fluid potential drop, a process clearly controlled by the Qiongzhusi shale.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> R/Ra ratios in the NS direction (Zhongba-Bajiaochang-Moxi-Weiyuan gas field), <bold>(B)</bold> In the NE-SE direction (Huangcaoba-Xiangguosi-Hechuan-Moxi-Weiyuan).</p>
</caption>
<graphic xlink:href="feart-12-1491017-g009.tif"/>
</fig>
</sec>
</sec>
<sec id="s6-2">
<title>6.2 The influence of regional shale on the helium enrichment</title>
<sec id="s6-2-1">
<title>6.2.1 Dilution of hydrocarbon generation</title>
<p>As mention above, the gas in Dengying Formation originated from the Qiongzhusi shale (<xref ref-type="bibr" rid="B62">Zhu, 2006</xref>). In the Weiyuan area, the helium concentration in the Dengying Formation ranges from 2040 to 18,770 ppm (average 3,330 ppm). This is significantly higher than the average helium concentration of 1,400 ppm in the Qiongzhusi shale, suggesting that helium is more favorably enriched in the gas reservoir than in its source rock. In contrast, in the Weiyuan shale gas field, helium concentrations in the Wufeng-Longmaxi shale range from 228 to 12,522 ppm (average 411 ppm), which is lower than in the Qiongzhusi shale. This indicates that helium is more favorably enriched in the deeper shale.</p>
<p>Based on solid bitumen in the Wufeng-Longmaxi shale, <xref ref-type="bibr" rid="B50">Tenger et al. (2020)</xref> estimated that the total volume of natural gas generated <italic>in situ</italic> ranges from 12.74 to 24.99 m&#xb3;/t (average 19.93 m&#xb3;/t). This suggests a hydrocarbon generation intensity of approximately 3,627.26 m&#xb3;/m<sup>2</sup>, which is about 25,896.7 times greater than the helium generation intensity (<xref ref-type="table" rid="T3">Table 3</xref>). In comparison, rock physics simulations indicated that the total volume of natural gas generated <italic>in situ</italic> in the Qiongzhusi shale averages 57 m&#xb3;/m<sup>2</sup>, <xref ref-type="bibr" rid="B25">Jiang et al. (2023)</xref>, making the hydrocarbon generation intensity here is about 267.4 times greater than the helium generation intensity (<xref ref-type="table" rid="T3">Table 3</xref>). Moreover, since the Pre-Sinian granite has no hydrocarbon generation potential, meaning the dilution effect from hydrocarbon generation in the granite is almost negligible.</p>
<p>Therefore, the dilution effect of hydrocarbon generation is most pronounced in the Wufeng-Longmaxi shale, being approximately 96 times greater than that in the Qiongzhusi shale. This accounts for the lower helium concentration observed in the Wufeng-Longmaxi shale compared to the Qiongzhusi shale. Additionally, while the hydrocarbons in the Dengying Formation primarily originate from the Qiongzhusi shale, the helium mainly derived from the Pre-Sinian granite. The helium generation intensity in the Pre-Sinian granite is higher than in the Qiongzhusi shale, and the dilution effect from hydrocarbon generation is also weaker in the Pre-Sinian granite. As a result, the helium concentration in the Dengying Formation is exceeds that in its hydrocarbon source rock.</p>
</sec>
<sec id="s6-2-2">
<title>6.2.2 Helium exsolution with the uplift process</title>
<p>Previous studies proved that helium is least soluble in water at 30&#xb0;C and pressures between 0.1 and 100 MPa (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>; <xref ref-type="bibr" rid="B29">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B60">Zhao et al., 2023b</xref>). At 30&#xb0;C and 0.1 MPa, the solubility of helium in water is around 8.3 mL/L (8,300 ppm) (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>), which is significantly higher than in air (5.24 ppm), natural gas (500&#x2013;1,000 ppm) (<xref ref-type="bibr" rid="B54">Wang et al., 2020</xref>), and the commercially viable threshold in the USA (&#x2265;3,000 ppm) (<xref ref-type="bibr" rid="B4">Brennan et al., 2021</xref>). Below 30&#xb0;C, helium solubility decreases with increasing temperature, while above 30&#xb0;C, it increases, reaching about 9.8 mL/L (9,800 ppm) at 80&#xb0;C- an 18% increase compared to its solubility at 30&#xb0;C (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>). Helium solubility in water rises significantly with increasing partial pressure, approximately tenfold from 0.1 to 10 MPa and ninefold from 10 to 100 MPa. At 80&#xb0;C and 100 MPa, the helium solubility in water is about 8,376 mL/L (8,376,000 ppm) (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>). Therefore, it is generally accepted that helium in deep layers is primarily dissolved in pore water (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B59">Zhao et al., 2023a</xref>).</p>
<p>According to the burial history of well 202 in the Weiyuan gas field (<xref ref-type="bibr" rid="B16">Ge, 2019</xref>) (<xref ref-type="fig" rid="F10">Figure 10</xref>), the Qiongzhusi shale reached the early mature stage of the oil window (<italic>R</italic>
<sub>o</sub> &#x3d; 0.5%&#x2013;0.7%) around 435 Ma. At this stage, biogenic gas was generated in the Qiongzhusi shale, facilitated the dissociation of helium from water at the gas-water interface, in accordance with Henry&#x2019;s law (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>). In the aquifer, the buoyancy of helium bubbles is nearly 1,400 times greater than that in the gas layer, based on a water density of 1 kg/L, helium density of 0.125 g/L, and methane density of 0.716 g/L. The gas layer acts as a deceleration zone, slowing the vertical movement of gaseous helium. As a result, helium is more likely to accumulate in the shale gas layer. The estimated helium capture time for the Qiongzhusi shale is around 435 Ma.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>The burial history of Well 202 in the Weiyuan gas field modified from <xref ref-type="bibr" rid="B16">Ge (2019)</xref>.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g010.tif"/>
</fig>
<p>In contrast, the Wufeng-Longmaxi shale was uplifted to shallower layers by the late Carboniferous. During this uplift process, most of the helium dissolved in pore water likely escaped due to the decreased helium solubility as the strata rose. The Wufeng-Longmaxi shale reached early maturity (<italic>R</italic>
<sub>o</sub> &#x3d; 0.5%&#x2013;0.7%) around 237 Ma. Thus, the helium capture time for the Wufeng-Longmaxi shale is likely estimated at 237 Ma, significantly shorter than that of the Qiongzhusi shale. Consequently, the helium concentration in the aquifer beneath the Wufeng-Longmaxi shale is likely lower than in the aquifer beneath the Qiongzhusi shale.</p>
<p>Both the Qiongzhusi shale and Wufeng-Longmaxi shales reached their maximum burial depth during the mid-Cretaceous (approximately 100 Ma). Since then, both formations have been progressively uplifted to their current depths. The Qiongzhusi shale has been uplifted from 6,300 m to 2,800 m, leading to a reduction in hydrostatic pressure from 63 to 28 MPa, a decrease of about 35 MPa. Similarly, the Wufeng-Longmaxi shale has been uplifted from 5,200 to 1,800 m, with a corresponding pressure drop of approximately 34 MPa.</p>
<p>According to the <xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>, helium solubility in water is linearly related to helium partial pressure at 80&#xb0;C (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9977). Using linear interpolation, the helium solubility is estimated to be 5,499 mL/L at 63 MPa, 4,561 mL/L at 52 MPa, 2,513 mL/L at 28 MPa, and 1,660 mL/L at 18 MPa. This indicates that during the uplift process, helium solubility decreased by 2,985 mL/L in the Qiongzhusi shale and by 2,900 mL/L in the Wufeng-Longmaxi shale. This corresponds to a reduction in helium solubility in water by approximately 63.58% for the Wufeng-Longmaxi shale and 54.29% for the Qiongzhusi shale. These observations suggest that the uplift process facilitates the partial degassing of helium from pore water, allowing it to migrate into the gas phase.</p>
<p>At 80&#xb0;C and 100 MPa, helium solubility in water is about 8,376 mL/L, which is 100 to 1,000,000 times greater than in natural gas (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>). This high solubility makes water a significantly more efficient medium for transporting helium compared to. Additionally, deep faults often serve as pathways for fluids migrating from deeper to shallower layers. When these faults are intermittently open, deep-layer water can rapidly ascend to shallower depths. As the fluid pressure drops during this rapid ascent, a substantial amount of helium and hydrocarbons dissociate from the pore water, leading to t helium-rich gas at the surface. This phenomenon contributes to the observed occurrence of helium-rich gas at the wellheads of springs (<xref ref-type="bibr" rid="B10">Dai et al., 1994</xref>). For example, helium concentrations in associated gas at the hot spring wellhead in the Weihe Basin of Shanxi Province, China, can reach up to 9.23% (<xref ref-type="bibr" rid="B24">Jia et al., 2022</xref>).</p>
<p>In the Sichuan Basin, the distribution of helium-rich gas is closely linked to fault locations. Deep faults penetrating from deeper to shallower strata are found around the basin boundary, in the South Broom-Shaped Structural Belt, and in the East High and Steep Structural Zone (<xref ref-type="fig" rid="F8">Figure 8</xref>). Helium from deep layers can migrate to shallower layers through these faults. Near the basin boundary, where there are no hydrocarbon traps, helium may escape to the atmosphere. However, in the South Broom-Shaped Structural Belt and East High and Steep Structural Zone, helium may be partially captured by gas reservoirs adjacent to these deep faults. The concentration of helium in these reservoirs varies, influenced not only by the spatial arrangement of faults and gas reservoirs, but also by other factors such as hydrocarbon dilution, helium source, and other geological characteristics.</p>
<p>In the Central flat and gentle fold belt, where few deep faults are observed (<xref ref-type="fig" rid="F8">Figure 8</xref>), helium accumulation is primarily governed by the Qiongzhusi shale. In the deep layers beneath the Jinqiu gas field, a fault traverses the Qiongzhusi shale, potentially facilitating a pathway for some helium migration from beneath the shale to shallower traps. In contrast, in the Low Steep Fold-and-Thrust Belt, while many faults are observed in the shallow layers, they do not extend through the Qiongzhusi shale. As a result, helium migration to shallow layers is limited, and gas reservoirs in this region are characterized by lower helium concentrations.</p>
</sec>
</sec>
<sec id="s6-3">
<title>6.3 The helium enrichment in central Sichuan basin</title>
<p>The relationship between helium-rich gas distribution and shale is typical in the central Sichuan Basin (<xref ref-type="fig" rid="F11">Figure 11</xref>). In the Gaoshi-Moxi gas reservoir and Weiyuan gas reservoir, the reservoirs are interbedded with mudstone or shale layers. In the Gaoshi-Moxi gas reservoir, helium concentration decreases progressively upwards. In Member 2 of the Dengying Formation, helium concentrations range from 0.018% to 0.102%, while in Member 4, they range from 0.012% to 0.029%. Both are higher than the concentrations found in the Cambrian gas reservoir, which range from 0.005% to 0.008%. A similar pattern is observed in the Weiyuan gas reservoir, where helium concentrations are lowest in the Permian gas reservoirs.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(A)</bold> The contour map of the Dengying Formation bottom and the distribution of the wells head, <bold>(B)</bold> the structural profile showing the distribution of gas reservoirs in the central Sichuan Basin, modified from <xref ref-type="bibr" rid="B47">Su et al. (2020)</xref>.</p>
</caption>
<graphic xlink:href="feart-12-1491017-g011.tif"/>
</fig>
<p>Within a single gas formation, helium concentration tends to increase as burial depth decreases. For example, in the Dengying Formation, helium concentrations are only 0.012%&#x2013;0.102% in the Gaoshi-Moxi gas reservoir but increase to 0.12%&#x2013;0.25% in the Weiyuan gas reservoir. This pattern is consistent with the accumulation of hydrocarbons (<xref ref-type="bibr" rid="B47">Su et al., 2020</xref>) and is closely related to the solubility of helium in water. As shown in <xref ref-type="fig" rid="F11">Figure 11</xref>, the burial depth of the Gaoshi-Moxi gas reservoir is about 2,500 m greater than that of the Weiyuan gas reservoir. Helium solubility in water increases significantly with increasing partial pressure, approximately ninefold from 10 to 100 MPa (<xref ref-type="bibr" rid="B2">Abrosimov and Lebedeva, 2013</xref>).</p>
<p>As fluids migrate from the Gaoshi-Moxi gas reservoir to the Weiyuan gas reservoir, the formation pressure decreases by more than 25 MPa, which lead to a notable drop in helium solubility in water. Consequently, some of the helium that was dissolved in the water is released and accumulated in the Weiyuan gas reservoirs. Regional shale layers facilitated the long-distance migration of helium alongside carrier gases. This migration help in partial offset the relatively low helium generation rates (liters produced annually per cubic kilometer of rock) (<xref ref-type="bibr" rid="B29">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2022</xref>), and contributing to systematic helium enrichment.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s7">
<title>7 Conclusion</title>
<p>The helium distribution in the Sichuan Basin exhibits a typical enrichment trend from the basin margins toward the center, but within the Wufeng-Longmaxi shale gas fields, helium-rich and -poor layers are interbedded, suggesting that vertical diffusion is not solely controlled helium enrichment.</p>
<p>Natural gas samples across the basin have R/Ra ratios less than 0.1, while higher ratios in hot springs within the Longmenshan Fold Beltsugges that most helium is crust-derived, with only minor mantle contributions in the western depression. N<sub>2</sub> concentrations are higher in gas reservoirs (0.02%&#x2013;37.37%) compare to shale gas, with the lowest levels at the basin periphery, indicating the primary helium source is the granite basement.</p>
<p>The CO<sub>2</sub>/<sup>3</sup>He ratio decreases from 2 &#xd7; 10<sup>11</sup> to 2 &#xd7; 10<sup>8</sup> in the East high and steep structure zone (<xref ref-type="fig" rid="F1">Figure 1</xref>), indicating that deep faults facilitated helium migration to shallower layers. Helium accumulates with methane migration from the northern low-steep fold and thrust belt to the Weiyuan gas field. The absence of the Wufeng-Longmaxi shale in the central and western Sichuan Basin and its significant hydrocarbon generation compared to helium generation suggest its minimal impact on helium concentration. The Wufeng-Longmaxi shale is absent from central to western parts of the Sichuan Basin. Hydrocarbon generation intensity of this shale is about 3,627.26 m<sup>3</sup>/m<sup>2</sup>, which is 25,896.7 times bigger than its helium generation intensity (0.14 m<sup>3</sup>/m<sup>2</sup>). The dilution effect of hydrocarbon generation is significant in the Wufeng-Longmaxi shale. The helium capture time for this shale is about 237 Ma, which is short compare to the Qiongzhusi shale. No clear correlation is observed between helium concentration distribution and the presence of Wufeng-Longmaxi shale.</p>
<p>The Qiongzhusi shale, covering the entire Sichuan Basin, has a much lower dilution effect compared to the Wufeng-Longmaxi shale. The Pre-Sinian granite, underlying the Qiongzhusi Formation, is the main helium source rock with a longer helium capture time of about 435 Ma. Helium concentration in the Qiongzhusi shale increases with decreasing burial depth, and helium isotopic compositions become lighter with fluid potential drops, indicating that helium enrichment is largely controlled by the Qiongzhusi shale.</p>
<p>Post-burial uplift of about 3,400 m in the Weiyuan area has reduced helium solubility in water by 63.58% in the Wufeng-Longmaxi shale and 54.29% in the Qiongzhusi shale, facilitating helium degassing and migration into gas layers. Regional shale layers support long-distance helium migration, but faults can disrupt this process. The most promising exploration area for helium-rich gas is northeast of the Ziyang gas field, where shallow gas fields connected to deep angle faults through the Qiongzhusi shale are favorable for helium accumulation.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s8">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s13">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s9">
<title>Author contributions</title>
<p>JH: Writing&#x2013;original draft, Writing&#x2013;review and editing. SL: Project administration, Supervision, Writing&#x2013;review and editing. AZ: Formal Analysis, Writing&#x2013;original draft. DW: Data curation, Writing&#x2013;original draft. JG: Project administration, Writing&#x2013;original draft. XZ: Writing&#x2013;review and editing. MA: Writing&#x2013;review and editing. ZW: Investigation, Methodology, Writing&#x2013;original draft. LZ: Data curation, Writing&#x2013;original draft.</p>
</sec>
<sec sec-type="funding-information" id="s10">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This study was supported by the Sichuan Science and Technology Program (No. 2024NSFSC0085), National Natural Science Foundation of China (NO. U20B6001), the SINOPEC Key Laboratory of Geology and Resources in Deep Stratum (No. 33550000-22-ZC0613-0254), and Researchers Supporting project number (RSP2024R455), King Saud University, Riyadh, Saudi Arabia.</p>
</sec>
<ack>
<p>We thank the support obtained from the Sichuan Science and Technology Program (No. 2024NSFSC0085), National Natural Science Foundation of China (NO. U20B6001), the SINOPEC Key Laboratory of Geology and Resources in Deep Stratum (No. 33550000-22-ZC0613-0254), and Researchers Supporting project number (RSP2024R455), King Saud University, Riyadh, Saudi Arabia. The authors further thank the handling editor Hongjian Zhu and three reviewers for their constructive comments that improved the manuscript.</p>
</ack>
<sec sec-type="COI-statement" id="s11">
<title>Conflict of interest</title>
<p>Authors JH, SL, and JG were employed by SINOPEC.</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>
<p>The reviewer ZQ declared a past co-authorship with the author JH to the handling editor.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<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="s13">
<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.2024.1491017/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/feart.2024.1491017/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Table1.xlsx" id="SM1" mimetype="application/xlsx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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