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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">844605</article-id>
<article-id pub-id-type="doi">10.3389/feart.2022.844605</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>Geochemical and Isotopic Characteristics of Two Geothermal Systems at the Nanpu Sag, Northern Bohai Bay Basin</article-title>
<alt-title alt-title-type="left-running-head">Wang et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Hydrothermal Energy of Nanpu Sag</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Ke</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hua</surname>
<given-names>Cong</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1692241/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ren</surname>
<given-names>Lu</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Kong</surname>
<given-names>Yanlong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1243787/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Sun</surname>
<given-names>Wenjie</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1537886/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pan</surname>
<given-names>Sheng</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1502116/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cheng</surname>
<given-names>Yuanzhi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1381177/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Yonghui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1506790/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tian</surname>
<given-names>Fei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhang</surname>
<given-names>Weizun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qin</surname>
<given-names>Dajun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Feng</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Jianwei</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Yuexia</given-names>
</name>
<xref ref-type="aff" rid="aff10">
<sup>10</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Key Laboratory of Shale Gas and Geoengineering</institution>, <institution>Institute of Geology and Geophysics</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Innovation Academy for Earth Science</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>College of Earth and Planetary Sciences</institution>, <institution>University of Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Key Laboratory of Groundwater Resources and Environment</institution>, <institution>Ministry of Education</institution>, <institution>College of Environment and Resources</institution>, <institution>Jilin University</institution>, <addr-line>Changchun</addr-line>, <country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Jidong Oilfield Company of PetroChina</institution>, <addr-line>Tangshan</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>College of Geoscience and Surveying Engineering</institution>, <institution>China University of Mining and Technology (Beijing)</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Key Laboratory of Continental Collision and Plateau Uplift</institution>, <institution>Institute of Tibetan Plateau Research</institution>, <institution>Chinese Academy of Sciences</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>The Institute of Hydrogeology and Environmental Geology</institution>, <institution>Chinese Academy of Geological Sciences</institution>, <addr-line>Shijiazhuang</addr-line>, <country>China</country>
</aff>
<aff id="aff9">
<sup>9</sup>
<institution>Technology Innovation Center for Geothermal and Hot Dry Rock Exploration and Development</institution>, <institution>Ministry of Natural Resources</institution>, <addr-line>Shijiazhuang</addr-line>, <country>China</country>
</aff>
<aff id="aff10">
<sup>10</sup>
<institution>Advisory Center</institution>, <institution>China National Petroleum Corporation</institution>, <addr-line>Shijiazhuang</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/811777/overview">Ryan Mathur</ext-link>, Juniata College, United&#x20;States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1439772/overview">Ying Li</ext-link>, China Earthquake Administration, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/576220/overview">Aisha Al Suwaidi</ext-link>, Khalifa University, United Arab Emirates</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yanlong Kong, <email>ylkong@mail.iggcas.ac.cn</email>; Wenjie Sun, <email>swj@cumtb.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Economic Geology, a section of the journal Frontiers in Earth Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>844605</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang, Hua, Ren, Kong, Sun, Pan, Cheng, Huang, Tian, Zhang, Qin, Ma, Wang and Dong.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang, Hua, Ren, Kong, Sun, Pan, Cheng, Huang, Tian, Zhang, Qin, Ma, Wang and Dong</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>The utilization of geothermal energy has gradually increased in northern China because of its unique advantages as a heating supply. However, the sustainable exploitation of geothermal energy usually requires a comprehensive investigation of the geothermal water circulation pattern prevailing at a proposed site. During the exploitation of geothermal energy resources at Nanpu Sag in northern China, thermal anomalies were found to exist in two adjacent regions: the Caofeidian and the Matouying. To reconcile the anomalies and to examine both the source of recharge water and the geothermal systems&#x2019; circulation dynamics, a comprehensive investigation was performed using multiple chemical and isotopic tracers (&#x3b4;<sup>2</sup>H, &#x3b4;<sup>18</sup>O, <sup>87</sup>Sr/<sup>86</sup>Sr, &#x3b4;<sup>13</sup>C, and <sup>14</sup>C). The total dissolved solids (TDS) of the geothermal water are approximately 750&#xa0;mg/L and 1,250&#xa0;mg/L, respectively. The geothermal water isotopes at the two sites are also different, with average values of -9.3&#x2030; and -8.2&#x2030; for &#x3b4;<sup>18</sup>O and -73.4&#x2030; and -71&#x2030; for &#x3b4;<sup>2</sup>H, respectively. Moreover, the <sup>87</sup>Sr/<sup>86</sup>Sr ratio of geothermal water at Matouying is 0.7185, which is much greater than that of Caofeidian, with an average value of 0.7088. All the results confirm the difference between the two geothermal systems and may explain the two circulation patterns of deep groundwater at Caofeidian and Matouying. The reservoir temperature obtained from theoretical chemical geothermometers is estimated to be 83&#x2013;92&#xb0;C at the Caofeidian and 107&#x2013;137&#xb0;C at the Matouying, respectively. The corrected <sup>14</sup>C age implies a low circulation rate that would allow sufficient time to heat the water at Caofeidian. In addition, we propose a geothermal conceptual model in our study area. This model could provide key information regarding the geothermal sustainable exploitation and the effective management of geothermal resources.</p>
</abstract>
<kwd-group>
<kwd>hydrothermal energy</kwd>
<kwd>geochemical characteristic</kwd>
<kwd>isotopic characteristic</kwd>
<kwd>two geothermal systems</kwd>
<kwd>conceptual model</kwd>
<kwd>nanpu sag</kwd>
</kwd-group>
<contract-num rid="cn001">2019YFB1504101</contract-num>
<contract-num rid="cn002">52192623</contract-num>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Hydrothermal energy is obtained by utilizing the heat or energy from the groundwater within the geothermal systems (<xref ref-type="bibr" rid="B4">Byrappa &#x26; Yoshimura, 2012</xref>). It is recognized that hydrothermal energy is clean, environmentally friendly, stable, and reliable when people use the heat or energy from hydrothermal water (<xref ref-type="bibr" rid="B38">Rybach, 2003</xref>; <xref ref-type="bibr" rid="B29">Marrasso et&#x20;al., 2018</xref>). Besides, hydrothermal energy demonstrates the characteristic of large reservoirs and wide distribution (<xref ref-type="bibr" rid="B45">Wang, 2015a</xref>; <xref ref-type="bibr" rid="B39">Shortall et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B31">Moya et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B27">Lund &#x26; Toth, 2021</xref>). In northern China, hydrothermal energy is widely used because of its unique advantages as a heating supply (<xref ref-type="bibr" rid="B44">Wang, 2009</xref>; <xref ref-type="bibr" rid="B10">Duan et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B23">Kong et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B1">An et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B43">Wang et&#x20;al., 2018</xref>). However, to realize the rational exploitation and utilization of hydrothermal geothermal resources, it is necessary to consider the sustainability of long-term exploitation as well as the environmental and geological consequences of exploitation (<xref ref-type="bibr" rid="B16">Hahnlein, Bayer, Ferguson, &#x26; Blum, 2013</xref>). To determine the exploitation potential of a hydrothermal system, it is imperative to document the water and heat sources, the thermal reservoir, the water transporting channels, and the thermal caprock of the geothermal field (<xref ref-type="bibr" rid="B34">Pang et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B19">Huang et al., 2021a</xref>). Although one can easily monitor the temperature and thermal reservoir characteristics of hydrothermal systems, it is difficult to determine the water sources, water flow paths, and heat sources for complicated geochemical processes. Precipitation generally recharges into hydrothermal reservoirs through deep, subsurface circulations. Within the circulation period, the geothermal water is heated from the comparative hot surrounding rocks with which it interacts (<xref ref-type="bibr" rid="B26">Lister, 1980</xref>; <xref ref-type="bibr" rid="B24">Le Gal et&#x20;al., 2018</xref>). Therefore, the geochemical characteristics and isotopic composition of geothermal water will change accordingly (<xref ref-type="bibr" rid="B48">Yang et&#x20;al., 2017</xref>). Thus, the combination of geochemical and isotopic characteristics in hydrothermal systems is of great value for determining the origin of the hydrothermal water and characterizing the water-rock-gas interaction process.</p>
<p>In northern China, a typical hydrothermal system known as the Caofeidian has been developed and utilized for many years as a heating supply (<xref ref-type="bibr" rid="B6">Chang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B9">Dong et&#x20;al., 2021</xref>; <xref ref-type="bibr" rid="B40">Wang et&#x20;al., 2021</xref>). However, temperature anomalies have been detected in the geothermal development process at the Matouying, located less than 20&#xa0;km east of the Caofeidian. The temperature of the geothermal boreholes at the Matouying was found to be much higher than those of the Caofeidian. To distinguish the temperature anomalies and realize the sustainable utilization of hydrothermal energy, it is necessary to investigate the patterns of deep groundwater circulation and geothermal reservoir conditions. Although some geophysical studies have been conducted to investigate the causes of the temperature anomalies within this area, no research has been conducted to compare the hydrothermal waters at the Caofeidian and the Matouying from the geochemical and isotopic information.</p>
<p>In this study, we conducted detailed geochemical and isotopic analyses of geothermal waters at the Caofeidian and the Matouying to distinguish the differences between the two sites and investigate the hydrothermal system characteristics. <sup>14</sup>C dating was used to assess the age of deep geothermal groundwater. We also determined the heat source and circulation patterns of different geothermal waters based on their geochemical and isotopic characteristics. The principal research objectives of this study are: 1) to investigate the geochemical and isotopic characteristics of the geothermal groundwater at the Caofeidian and the Matouying; 2) to determine the causes of geothermal water differences between the two areas; and 3) to propose a conceptual model of geothermal water circulation in the research&#x20;areas.</p>
</sec>
<sec id="s2">
<title>Geological and Hydrogeological Settings</title>
<p>Caofeidian is located 80&#xa0;km south of Tangshan and 120&#xa0;km east of Tianjin in the north-central part of the Bohai Bay Basin which locates in the northern China (<xref ref-type="fig" rid="F1">Figure&#x20;1A</xref> and <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). In terms of geological structure, the Caofeidian is located in the north of the Nanpu Sag, one of the major oil and gas fields in China (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). The Nanpu depression is located in the north of the Huanghua Depression, and its northwest boundary is the Xinanzhuang fault, separated from the Xinanzhuang Uplift and Laowangzhuang Uplift (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>) (<xref ref-type="bibr" rid="B9">Dong et&#x20;al., 2021</xref>). The northeast boundary is the Baigezhuang fault, which is adjacent to the Baigezhuang Uplift and the Matouying Uplift (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>). The southern Nanpu depression is in a fault-superposition relationship with the Shaleitian Uplift. Geothermal anomaly zones were found in the Matouying Uplift area near the Baigezhuang fault. The Caofeidian and Matouying areas are located on the west and east sides of the Baigezhuang fault, respectively (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(A)</bold>: Location of Bohai Bay Basin in China and all the sampling sites in the study area, the red rectangle represents the area where the geothermal water were sampled; <bold>(B)</bold>: The sampling locations of geothermal water in the two regions Caofeidian and Matouying.</p>
</caption>
<graphic xlink:href="feart-10-844605-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Geological map of the Nanpu Sag and its locations in Bohai Bay Basin (cited from <xref ref-type="bibr" rid="B9">Dong et&#x20;al., 2021</xref>).</p>
</caption>
<graphic xlink:href="feart-10-844605-g002.tif"/>
</fig>
<p>In general, Nanpu Sag is a Tertiary sedimentary lake basin (<xref ref-type="bibr" rid="B41">Wang et&#x20;al., 2022</xref>). From the surface downwards, the Nanpu Sag and its surrounding areas are characterized by Cenozoic, Mesozoic, Paleozoic, Neoproterozoic, and Archean strata (<xref ref-type="bibr" rid="B51">Zhu et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B42">Wang et&#x20;al., 2020</xref>). The stratigraphic distribution and thickness of different structural units of the Nanpu Sag vary greatly (<xref ref-type="bibr" rid="B40">Wang et&#x20;al., 2021</xref>). Baigezhuang Fault is a border fracture separating Matouying and Nanpu, which has controlling effect on the formation and evolution of Nanpu Sag. Because of the movement of Baigezhaung Fault, the Archean granite was uplifted at Matouying. Besides, the destruction of the eastern North China Craton and the thinning of the regional lithosphere also contributed to the shallow depth of granite at Matouying (<xref ref-type="bibr" rid="B36">Qiu et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B37">Qiu et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B50">Zhang et&#x20;al., 2020b</xref>; <xref ref-type="bibr" rid="B9">Dong et&#x20;al., 2021</xref>). According to the geophysical work by <xref ref-type="bibr" rid="B8">Dong et&#x20;al. (2008)</xref>, the depth of Baigezhuang Fault was estimated to be more than 5&#xa0;km downwards, which reached the basement of Archean granite. The main heat reservoirs in the Nanpu Sag are the Neogene Guantao Formation and the Neogene Minghuazhen Formation (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>), followed by the Cambrian and the Ordovician. The Neogene strata is principally driven by the uplift and sag of the Paleogene. Except for the absence of the Laowangzhuang uplift, the Guantao Formation contains a thickness of 300&#x2013;900&#xa0;m in our study area except for the Laowangzhuang Uplift. The thermal reservoirs of the Guantao Formation are mainly fine sandstone and gravel sandstone with an average porosity of 30&#x2013;35%. The bottom boundary of the Guantao Formation thermal reservoir is 2,100&#x2013;2,600&#xa0;m deep, gradually increasing in depth from north to south. The Minghuazhen Formation has a thickness of 1,000&#x2013;2000&#xa0;m throughout the study region. The bottom boundary of the Minghuazhen Formation&#x2019;s thermal reservoir is 1700&#x2013;2,200&#xa0;m deep, gradually deepening from north to south. The Quaternary in this region belongs to the Pleistocene-Holocene strata, which are not integrated with the underlying Minghuazhen Formation. Quaternary in this area is a set of undiagenetic interbedded yellow glutenite and clay, the bottom of which are alluvial and alluvial glutenite layers. In this study, we focus on the Neogene sandstone aquifer because it is the principal geological formation exploited for geothermal energy production in the Caofeidian and the Matouying. Our study objective is the Neogene heat reservoir. The Neogene strata in the Caofeidian, and the Matouying is mainly porous sandstone, which has the characteristics of high porosity and permeability.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Cross section <bold>(A,A&#x2032;)</bold> of the Nanpu Sag (cited from <xref ref-type="bibr" rid="B20">Huang et&#x20;al., 2021b</xref>).</p>
</caption>
<graphic xlink:href="feart-10-844605-g003.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Sampling and Analysis</title>
<p>Field sampling was performed at the Nanpu Sag in December and November 2019. A total of 35 water samples were collected, including 12 from geothermal wells, 11 from shallow wells, and one from deep wells in the Dongying Formation. To compare the hydrochemistry and isotopic characteristics of groundwater and surface water, we also collected four river samples, five pond samples, and 2 seawater sample in different directions of the geothermal wells. All sampling locations are shown in <xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>. The sampling time was within the heat supply period, consequently, the water samples from the geothermal boreholes are representative of the water within the aquifer. All the samples were filtered <italic>in situ</italic> with a 0.23&#xa0;&#x3bc;m membrane prior to bottling and sealing with Parafilm. Samples for cation and trace element analysis were acidified with ultra-purified HNO<sub>3</sub> to adjust the pH of each sample to less than 2. The acidified process was not added to the samples for anion and water isotope analyses.</p>
<p>Temperature, pH, electrical conductivity (EC), and total dissolved solids (TDS) were measured in the field using a multi-parameter device (Hach HQ40D). HCO<sub>3<sup>&#x2212;</sup>
</sub> and CO<sub>3</sub>
<sup>2&#x2212;</sup> were measured in the field using a digital titrator (16,900 Digital Titrator, Hach) with indicators including phenolphthalein and methyl orange colorants. The samples were sent for analysis at the Water Isotopes and Water&#x2013;Rock Interaction Laboratory, Institute of Geology and Geophysics, Chinese Academy of Sciences.</p>
<p>Cations and anions were identified according to the National Analysis standard DZ/T0064.28&#x2013;93 and DZ/T0064.51&#x2013;93, respectively. The detection limit was 0.1&#xa0;mg/L. The trace elements were determined using ICP-MS (7500C, Agilent) with an analytical precision of less than 0.5%. Stable isotopes (&#x3b4;<sup>2</sup>H and &#x3b4;<sup>18</sup>O) were measured using a laser absorption water isotope spectrometer analyzer (Picarro L2120-i). All &#x3b4;<sup>2</sup>H and &#x3b4;<sup>18</sup>O values are expressed in &#x3b4; notation per mil relative to the Vienna Standard Mean Ocean Water (V-SMOW). The measurement precisions of &#x3b4;<sup>2</sup>H and &#x3b4;<sup>18</sup>O were &#xb1;0.5&#x2030; and &#xb1;0.1&#x2030;, respectively. The trace elements were determined using ICP-MS (7500C, Agilent) at the Analytical Laboratory of Beijing Research Institute of Uranium Geology with an analytical precision of less than 0.5%. The carbon isotopic compositions (i.e.,&#x20;<sup>14</sup>C and <sup>13</sup>C) were determined by Beta Analytic, Inc. using accelerator mass spectrometry (AMS) and isotope ratio mass spectrometry (IR-MS), respectively. The analytical precision of the AMS <sup>14</sup>C results was &#xb1;0.1%. The <sup>14</sup>C ages were corrected using the &#x3b4;<sup>13</sup>C mixing model (<xref ref-type="bibr" rid="B7">Clark and Fritz, 2013</xref>):<disp-formula id="e1">
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<label>(2)</label>
</disp-formula>where <italic>t</italic> is the groundwater age, <inline-formula id="inf1">
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</inline-formula> is the measured <sup>14</sup>C activity, <italic>q</italic> is the correction factor, and <inline-formula id="inf2">
<mml:math id="m4">
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<mml:math id="m7">
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</inline-formula> values for the groundwater, the dissolved calcite (0&#x2030;), and soil (-23&#x2030;), respectively.</p>
</sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<sec id="s4-1">
<title>Local Hydrothermal Pattern</title>
<p>The temperature gradient of the geothermal wells is shown in <xref ref-type="fig" rid="F4">Figure&#x20;4</xref>. By comparing the geothermal water temperature at the Caofeidian and the Matouying, we found significant differences between the two locations. The temperature of the geothermal water sampled at the Matouying has a maximum of 117&#xb0;C, which is much greater than that of the Caofeidian, 70&#x2013;80&#xb0;C. In addition, the geothermal gradient for the Neogene Guantao Formation at Matouying is also much greater than that observed at the Caofeidian, which is about 4.0&#x2013;7.0 and 2.3&#x2013;3.9&#xb0;C/100&#xa0;m, respectively. Although the distance between the two geothermal fields was less than 20&#xa0;km, a significant difference was observed in the temperature patterns at the two sites. <xref ref-type="fig" rid="F4">Figure&#x20;4</xref> also illustrates that there are significant thermal disturbances near the Gaoliu Fault, indicating that the Gaoliu and Xinanzhuang faults are important channels for the migration of geothermal water. The rapid changes in temperature near the Baigezhuang Fault suggest the presence of a barrier dividing Caofeidian and Matouying into two geothermal systems. The Xinanzhuang, Baigezhuang, and Gaoliu faults in the study area are the main heat-controlling and water-controlling structures. From the contour of hydrostatic pressure of geothermal water at the depth of 2000m (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>), it can be concluded that the flow direction of geothermal water is from northwest to southeast at Caofeidian, which keeps in accordance with the modeling results by <xref ref-type="bibr" rid="B20">Huang et&#x20;al. (2021b)</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Temperature gradient of the geothermal wells at the depth of 2120m in the study&#x20;area.</p>
</caption>
<graphic xlink:href="feart-10-844605-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Contours of hydrostatic pressure of the geothermal wells at the depth of 2000m at Caofeidian.</p>
</caption>
<graphic xlink:href="feart-10-844605-g005.tif"/>
</fig>
</sec>
<sec id="s4-2">
<title>Hydrochemistry Characteristic</title>
<p>All water samples are plotted in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref> and shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. The results show that the chemical characteristics of geothermal water at Caofeidian and Matouying are distinct. For geothermal water at the Caofeidian, the TDS ranges from 691&#xa0;mg/L to 833&#xa0;mg/L, with an average value of approximately 750&#xa0;mg/L. In addition, the water type was characterized by the presence of Cl&#x00B7;HCO<sub>3</sub>-Na. The pH was between 8.2 and 8.49. The principal cation was Na<sup>&#x2b;</sup> (219&#x2013;279.0&#xa0;mg/L) and the concentration of K<sup>&#x2b;</sup> was low, ranging from 3.1 to 4.7&#xa0;mg/L. Ca<sup>2&#x2b;</sup> and Mg<sup>2&#x2b;</sup> were not detected in any of the 10 geothermal boreholes. For geothermal water at the Matouying, the TDS values were 1,111&#xa0;mg/L and 1,408&#xa0;mg/L, which were greater than those observed at the Matouying. The principal cations were also Na<sup>&#x2b;</sup> (306&#xa0;mg/L and 346&#xa0;mg/L), and the principal anions were Cl<sup>&#x2212;</sup>, SO<sub>4</sub>
<sup>2-</sup>, and HCO<sub>3<sup>&#x2212;</sup>
</sub>. The geothermal water at Matouying was Cl&#x00B7;SO<sub>4</sub>&#x00B7;HCO<sub>3</sub>-Na, with pH was 7.27 and&#x20;8.52.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Piper diagram of different water bodies around geothermal&#x20;sites.</p>
</caption>
<graphic xlink:href="feart-10-844605-g006.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Chemical and isotope composition of water samples at Nanpu Sag.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample label</th>
<th align="left">Type</th>
<th align="center">Date</th>
<th align="center">Depth(m)</th>
<th align="center">pH</th>
<th align="center">T (&#xb0;C)</th>
<th align="center">EC (&#x3bc;s/cm)</th>
<th align="center">TDS (mg/L)</th>
<th align="center">Na<sup>&#x2b;</sup> (mg/L)</th>
<th align="center">K<sup>&#x2b;</sup> (mg/L)</th>
<th align="center">Mg<sup>2&#x2b;</sup> (mg/L)</th>
<th align="center">Ca<sup>2&#x2b;</sup>(mg/L)</th>
<th align="center">F<sup>&#x2212;</sup> (mg/L)</th>
<th align="center">Cl<sup>&#x2212;</sup> (mg/L)</th>
<th align="center">NO<sub>3</sub>
<sup>&#x2212;</sup> (mg/L)</th>
<th align="center">SO<sub>4</sub>
<sup>2-</sup> (mg/L)</th>
<th align="center">CO<sub>3</sub>
<sup>2-</sup> (mg/L)</th>
<th align="center">HCO<sub>3</sub>
<sup>&#x2212;</sup> (mg/L)</th>
<th align="center">Water types</th>
<th align="center">&#x3b4;<sup>18</sup>O (&#x2030;)</th>
<th align="center">&#x3b4;<sup>2</sup>H (&#x2030;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">P-1</td>
<td align="left">Pond</td>
<td align="left">1-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.23</td>
<td align="center">0</td>
<td align="char" char=".">1,194</td>
<td align="char" char=".">531</td>
<td align="char" char=".">97.4</td>
<td align="char" char=".">6.27</td>
<td align="char" char=".">20.73</td>
<td align="char" char=".">20.13</td>
<td align="char" char=".">0.84</td>
<td align="char" char=".">71.81</td>
<td align="char" char=".">3.01</td>
<td align="char" char=".">103.84</td>
<td align="char" char=".">0</td>
<td align="char" char=".">174.12</td>
<td align="left">HCO<sub>3</sub>&#xb7;Cl&#xb7;SO<sub>4</sub>-Na&#xb7;Mg&#xb7;Ca</td>
<td align="char" char=".">&#x2212;2.61</td>
<td align="char" char=".">&#x2212;31.87</td>
</tr>
<tr>
<td align="left">P-2</td>
<td align="left"/>
<td align="left">1-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.46</td>
<td align="center">4.4</td>
<td align="char" char=".">3,581</td>
<td align="char" char=".">1789</td>
<td align="char" char=".">461.36</td>
<td align="char" char=".">27.37</td>
<td align="char" char=".">65.4</td>
<td align="char" char=".">50.69</td>
<td align="char" char=".">1.75</td>
<td align="char" char=".">85.44</td>
<td align="char" char=".">0</td>
<td align="char" char=".">166.6</td>
<td align="char" char=".">0</td>
<td align="char" char=".">354.51</td>
<td align="left">HCO<sub>3</sub>&#xb7;SO<sub>4</sub>&#xb7;Cl-Na&#xb7;Ca</td>
<td align="char" char=".">&#x2212;1.82</td>
<td align="char" char=".">&#x2212;26.79</td>
</tr>
<tr>
<td align="left">P-3</td>
<td align="left"/>
<td align="left">1-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">9.25</td>
<td align="center">0</td>
<td align="char" char=".">1,647</td>
<td align="char" char=".">834</td>
<td align="char" char=".">171.97</td>
<td align="char" char=".">8.01</td>
<td align="char" char=".">45.66</td>
<td align="char" char=".">16.43</td>
<td align="char" char=".">0.76</td>
<td align="char" char=".">223.85</td>
<td align="char" char=".">0</td>
<td align="char" char=".">151.52</td>
<td align="char" char=".">19.71</td>
<td align="char" char=".">116.5</td>
<td align="center">Cl&#xb7;SO<sub>4</sub>&#xb7;HCO<sub>3</sub>-Na&#xb7;Mg&#xb7;Ca</td>
<td align="char" char=".">&#x2212;1.93</td>
<td align="char" char=".">&#x2212;30.5</td>
</tr>
<tr>
<td align="left">P-4</td>
<td align="left"/>
<td align="left">4-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.56</td>
<td align="center">2.6</td>
<td align="char" char=".">2,900</td>
<td align="char" char=".">2,600</td>
<td align="char" char=".">590.27</td>
<td align="char" char=".">41.44</td>
<td align="char" char=".">154.85</td>
<td align="char" char=".">31.52</td>
<td align="char" char=".">1.67</td>
<td align="char" char=".">1,053.62</td>
<td align="char" char=".">0</td>
<td align="char" char=".">289.28</td>
<td align="char" char=".">30.8</td>
<td align="char" char=".">299.39</td>
<td align="left">Cl&#xb7;SO<sub>4</sub>&#xb7;HCO<sub>3</sub>-Na&#xb7;Mg</td>
<td align="char" char=".">1.29</td>
<td align="char" char=".">-7.56</td>
</tr>
<tr>
<td align="left">P-5</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">9.33</td>
<td align="center">3.5</td>
<td align="char" char=".">2,810</td>
<td align="char" char=".">2,460</td>
<td align="char" char=".">828.44</td>
<td align="char" char=".">27.6</td>
<td align="char" char=".">77.44</td>
<td align="char" char=".">22.44</td>
<td align="char" char=".">1.54</td>
<td align="char" char=".">1,027.26</td>
<td align="char" char=".">0</td>
<td align="char" char=".">86.17</td>
<td align="char" char=".">67.76</td>
<td align="char" char=".">388.33</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub> -Na</td>
<td align="char" char=".">&#x2212;0.74</td>
<td align="char" char=".">&#x2212;23.37</td>
</tr>
<tr>
<td align="left">R-1</td>
<td align="left">River</td>
<td align="left">1-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.86</td>
<td align="center">0</td>
<td align="char" char=".">3,780</td>
<td align="char" char=".">2,138</td>
<td align="char" char=".">1,175.3</td>
<td align="char" char=".">55.57</td>
<td align="char" char=".">254.58</td>
<td align="char" char=".">152.04</td>
<td align="char" char=".">30.07</td>
<td align="char" char=".">2,139.52</td>
<td align="char" char=".">0</td>
<td align="char" char=".">637.39</td>
<td align="char" char=".">27.1</td>
<td align="char" char=".">190.41</td>
<td align="left">Cl&#xb7;SO<sub>4</sub> -Na</td>
<td align="char" char=".">&#x2212;0.83</td>
<td align="char" char=".">&#x2212;18.68</td>
</tr>
<tr>
<td align="left">R-2</td>
<td align="left"/>
<td align="left">4-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">7.78</td>
<td align="center">1.7</td>
<td align="char" char=".">9,390</td>
<td align="char" char=".">9,280</td>
<td align="char" char=".">1,310.82</td>
<td align="char" char=".">50.69</td>
<td align="char" char=".">167.66</td>
<td align="char" char=".">57.99</td>
<td align="char" char=".">2.28</td>
<td align="char" char=".">2,473.26</td>
<td align="char" char=".">0</td>
<td align="char" char=".">388.31</td>
<td align="char" char=".">0</td>
<td align="char" char=".">124.02</td>
<td align="left">Cl -Na</td>
<td align="char" char=".">&#x2212;4.11</td>
<td align="char" char=".">&#x2212;37.96</td>
</tr>
<tr>
<td align="left">R-3</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.79</td>
<td align="center">2.2</td>
<td align="char" char=".">1,155</td>
<td align="char" char=".">11,230</td>
<td align="char" char=".">2,243.91</td>
<td align="char" char=".">67.58</td>
<td align="char" char=".">301.14</td>
<td align="char" char=".">81.9</td>
<td align="char" char=".">5.95</td>
<td align="char" char=".">4,218.2</td>
<td align="char" char=".">0</td>
<td align="char" char=".">582.56</td>
<td align="char" char=".">24.64</td>
<td align="char" char=".">206.69</td>
<td align="left">Cl -Na</td>
<td align="char" char=".">&#x2212;4.82</td>
<td align="char" char=".">&#x2212;42.52</td>
</tr>
<tr>
<td align="left">R-4</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.66</td>
<td align="center">4.2</td>
<td align="char" char=".">498</td>
<td align="char" char=".">399</td>
<td align="char" char=".">42.05</td>
<td align="char" char=".">5.23</td>
<td align="char" char=".">24.12</td>
<td align="char" char=".">60.52</td>
<td align="char" char=".">0.55</td>
<td align="char" char=".">53.91</td>
<td align="char" char=".">11.99</td>
<td align="char" char=".">121.66</td>
<td align="char" char=".">2.46</td>
<td align="char" char=".">120.26</td>
<td align="left">HCO<sub>3</sub>&#xb7;SO<sub>4</sub>&#xb7;Cl -Na&#xb7;Ca&#xb7;Mg</td>
<td align="char" char=".">&#x2212;7.4</td>
<td align="char" char=".">&#x2212;55.8</td>
</tr>
<tr>
<td align="left">S-1</td>
<td align="left">Sea</td>
<td align="left">4-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.05</td>
<td align="center">2.6</td>
<td align="char" char=".">2,770</td>
<td align="char" char=".">2,910</td>
<td align="char" char=".">9,186.84</td>
<td align="char" char=".">374.69</td>
<td align="char" char=".">1,149.19</td>
<td align="char" char=".">609.47</td>
<td align="char" char=".">5.2</td>
<td align="char" char=".">18,249.49</td>
<td align="char" char=".">0</td>
<td align="char" char=".">2,386.67</td>
<td align="char" char=".">0</td>
<td align="char" char=".">97.71</td>
<td align="left">Cl -Na</td>
<td align="char" char=".">&#x2212;0.96</td>
<td align="char" char=".">&#x2212;9.65</td>
</tr>
<tr>
<td align="left">S-2</td>
<td align="left"/>
<td align="left">4-Dec-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">7.93</td>
<td align="center">2.8</td>
<td align="char" char=".">2,530</td>
<td align="char" char=".">2,610</td>
<td align="char" char=".">8,720.65</td>
<td align="char" char=".">349.9</td>
<td align="char" char=".">1,112.36</td>
<td align="char" char=".">244.37</td>
<td align="char" char=".">9.98</td>
<td align="char" char=".">16,804.85</td>
<td align="char" char=".">0</td>
<td align="char" char=".">2,237.45</td>
<td align="char" char=".">0</td>
<td align="char" char=".">102.72</td>
<td align="left">Cl -Na</td>
<td align="char" char=".">&#x2212;1.41</td>
<td align="char" char=".">&#x2212;12.93</td>
</tr>
<tr>
<td align="left">WL-1</td>
<td align="left">Shallow groundwater</td>
<td align="left">30-Nov-2019</td>
<td align="center">200</td>
<td align="char" char=".">8.2</td>
<td align="center">28</td>
<td align="char" char=".">561</td>
<td align="char" char=".">280</td>
<td align="char" char=".">83.75</td>
<td align="char" char=".">1.07</td>
<td align="char" char=".">2.52</td>
<td align="char" char=".">17.67</td>
<td align="char" char=".">0.78</td>
<td align="char" char=".">29.88</td>
<td align="char" char=".">0</td>
<td align="char" char=".">32.15</td>
<td align="char" char=".">11.09</td>
<td align="char" char=".">108.98</td>
<td align="left">HCO<sub>3</sub>-Na&#xb7;Ca</td>
<td align="char" char=".">&#x2212;10.08</td>
<td align="char" char=".">&#x2212;76.02</td>
</tr>
<tr>
<td align="left">WL-2</td>
<td align="left"/>
<td align="left">1-Dec-2019</td>
<td align="center">300&#x2013;400</td>
<td align="char" char=".">8.19</td>
<td align="center">14</td>
<td align="char" char=".">652</td>
<td align="char" char=".">327</td>
<td align="char" char=".">74.39</td>
<td align="char" char=".">0.59</td>
<td align="char" char=".">3.31</td>
<td align="char" char=".">15.98</td>
<td align="char" char=".">0.86</td>
<td align="char" char=".">33.5</td>
<td align="char" char=".">0</td>
<td align="char" char=".">53.84</td>
<td align="char" char=".">12.32</td>
<td align="char" char=".">106.48</td>
<td align="left">HCO<sub>3</sub>&#x00B7;SO<sub>4</sub>&#x00B7;Cl-Na&#x00B7;Ca</td>
<td align="char" char=".">&#x2212;10.19</td>
<td align="char" char=".">&#x2212;77.07</td>
</tr>
<tr>
<td align="left">WL-3</td>
<td align="left"/>
<td align="left">1-Dec-2019</td>
<td align="center">200</td>
<td align="char" char=".">7.9</td>
<td align="center">13.5</td>
<td align="char" char=".">608</td>
<td align="char" char=".">305</td>
<td align="char" char=".">37.99</td>
<td align="char" char=".">0.45</td>
<td align="char" char=".">9.96</td>
<td align="char" char=".">32.05</td>
<td align="char" char=".">0.51</td>
<td align="char" char=".">22.17</td>
<td align="char" char=".">0</td>
<td align="char" char=".">43.55</td>
<td align="char" char=".">0</td>
<td align="char" char=".">126.52</td>
<td align="left">HCO<sub>3</sub>&#x00B7;SO<sub>4</sub>&#x00B7;Cl-Na&#x00B7;Ca</td>
<td align="char" char=".">&#x2212;9.73</td>
<td align="char" char=".">&#x2212;74.89</td>
</tr>
<tr>
<td align="left">WL-4</td>
<td align="left"/>
<td align="left">1-Dec-2019</td>
<td align="center">470</td>
<td align="char" char=".">8.27</td>
<td align="center">9</td>
<td align="char" char=".">593</td>
<td align="char" char=".">294</td>
<td align="char" char=".">82.93</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">1.98</td>
<td align="char" char=".">18.7</td>
<td align="char" char=".">1.07</td>
<td align="char" char=".">27.34</td>
<td align="char" char=".">8.23</td>
<td align="char" char=".">87.57</td>
<td align="char" char=".">0</td>
<td align="char" char=".">95.2</td>
<td align="left">Cl&#x00B7;HCO<sub>3</sub>&#x00B7;SO<sub>4</sub>-Na&#x00B7;Ca</td>
<td align="char" char=".">&#x2212;9.97</td>
<td align="char" char=".">&#x2212;76.44</td>
</tr>
<tr>
<td align="left">WL-5</td>
<td align="left"/>
<td align="left">2-Dec-2019</td>
<td align="center">100</td>
<td align="char" char=".">7.67</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">568</td>
<td align="char" char=".">300</td>
<td align="char" char=".">115.2</td>
<td align="char" char=".">1.08</td>
<td align="char" char=".">3.12</td>
<td align="char" char=".">10.18</td>
<td align="char" char=".">0.81</td>
<td align="char" char=".">38.9</td>
<td align="char" char=".">0.77</td>
<td align="char" char=".">25.78</td>
<td align="char" char=".">0</td>
<td align="char" char=".">134.04</td>
<td align="left">HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;10.02</td>
<td align="char" char=".">&#x2212;75.34</td>
</tr>
<tr>
<td align="left">WL-6</td>
<td align="left"/>
<td align="left">4-Dec-2019</td>
<td align="center">280</td>
<td align="char" char=".">7.9</td>
<td align="center">13.3</td>
<td align="char" char=".">441</td>
<td align="char" char=".">273</td>
<td align="char" char=".">69.01</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.22</td>
<td align="char" char=".">29.84</td>
<td align="char" char=".">0.28</td>
<td align="char" char=".">43.62</td>
<td align="char" char=".">0.59</td>
<td align="char" char=".">29.92</td>
<td align="char" char=".">0</td>
<td align="char" char=".">116.5</td>
<td align="left">HCO<sub>3</sub>&#x00B7;Cl&#x00B7;SO<sub>4</sub>-Na&#x00B7;Ca</td>
<td align="char" char=".">&#x2212;9.96</td>
<td align="char" char=".">&#x2212;77.44</td>
</tr>
<tr>
<td align="left">WL-7</td>
<td align="left"/>
<td align="left">4-Dec-2019</td>
<td align="center">300</td>
<td align="char" char=".">8.33</td>
<td align="center">16.8</td>
<td align="char" char=".">470</td>
<td align="char" char=".">283</td>
<td align="char" char=".">101.53</td>
<td align="char" char=".">0.7</td>
<td align="char" char=".">2.96</td>
<td align="char" char=".">10.21</td>
<td align="char" char=".">0.93</td>
<td align="char" char=".">28.94</td>
<td align="char" char=".">0.25</td>
<td align="char" char=".">27.79</td>
<td align="char" char=".">4.93</td>
<td align="char" char=".">131.53</td>
<td align="left">HCO<sub>3</sub>&#xb7;Cl&#xb7;SO<sub>4</sub> -Na</td>
<td align="char" char=".">&#x2212;10</td>
<td align="char" char=".">&#x2212;74.61</td>
</tr>
<tr>
<td align="left">WL-8</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">230</td>
<td align="char" char=".">7.8</td>
<td align="center">15.3</td>
<td align="char" char=".">393</td>
<td align="char" char=".">237</td>
<td align="char" char=".">72.61</td>
<td align="char" char=".">0.73</td>
<td align="char" char=".">3.66</td>
<td align="char" char=".">25.83</td>
<td align="char" char=".">0.3</td>
<td align="char" char=".">22.99</td>
<td align="char" char=".">0</td>
<td align="char" char=".">39.37</td>
<td align="char" char=".">0</td>
<td align="char" char=".">101.47</td>
<td align="left">HCO<sub>3</sub>&#xb7;Cl&#xb7;SO<sub>4</sub>-Na&#xb7;Ca</td>
<td align="char" char=".">&#x2212;10.2</td>
<td align="char" char=".">&#x2212;75.97</td>
</tr>
<tr>
<td align="left">WL-9</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">280</td>
<td align="char" char=".">8</td>
<td align="center">16</td>
<td align="char" char=".">705</td>
<td align="char" char=".">437</td>
<td align="char" char=".">104.27</td>
<td align="char" char=".">0.92</td>
<td align="char" char=".">5.85</td>
<td align="char" char=".">44.87</td>
<td align="char" char=".">0.52</td>
<td align="char" char=".">120.66</td>
<td align="char" char=".">0</td>
<td align="char" char=".">42.83</td>
<td align="char" char=".">0</td>
<td align="char" char=".">113.99</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>&#xb7;SO<sub>4</sub> -Na&#xb7;Ca</td>
<td align="char" char=".">&#x2212;10.07</td>
<td align="char" char=".">&#x2212;74.97</td>
</tr>
<tr>
<td align="left">WL-10</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">230</td>
<td align="char" char=".">7.97</td>
<td align="center">13.6</td>
<td align="char" char=".">475</td>
<td align="char" char=".">303</td>
<td align="char" char=".">64.02</td>
<td align="char" char=".">0.76</td>
<td align="char" char=".">8.97</td>
<td align="char" char=".">48.62</td>
<td align="char" char=".">0.23</td>
<td align="char" char=".">42.07</td>
<td align="char" char=".">0</td>
<td align="char" char=".">45.29</td>
<td align="char" char=".">0</td>
<td align="char" char=".">131.53</td>
<td align="left">HCO<sub>3</sub>&#xb7;Cl&#xb7;SO<sub>4</sub> - Na&#xb7;Ca</td>
<td align="char" char=".">-9.67</td>
<td align="char" char=".">-76.11</td>
</tr>
<tr>
<td align="left">WL-11</td>
<td align="left"/>
<td align="left">6-Dec-2019</td>
<td align="center">230</td>
<td align="char" char=".">7.84</td>
<td align="center">13.5</td>
<td align="char" char=".">369</td>
<td align="char" char=".">233</td>
<td align="char" char=".">36.35</td>
<td align="char" char=".">0.46</td>
<td align="char" char=".">12.58</td>
<td align="char" char=".">45.43</td>
<td align="char" char=".">0.26</td>
<td align="char" char=".">3.77</td>
<td align="char" char=".">0</td>
<td align="char" char=".">31.23</td>
<td align="char" char=".">0</td>
<td align="char" char=".">140.3</td>
<td align="left">HCO<sub>3</sub>&#xb7;SO<sub>4</sub>&#xb7;Cl -Na&#xb7;Ca</td>
<td align="char" char=".">-9.85</td>
<td align="char" char=".">-71.45</td>
</tr>
<tr>
<td align="left">WR-1</td>
<td align="left">Geothermal water (Caofeidian)</td>
<td align="left">28-Nov-2019</td>
<td align="center">2,422</td>
<td align="char" char=".">8.2</td>
<td align="center">77.7</td>
<td align="char" char=".">1,635</td>
<td align="char" char=".">833</td>
<td align="char" char=".">229.29</td>
<td align="char" char=".">3.38</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">6.03</td>
<td align="char" char=".">145.8</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0.81</td>
<td align="char" char=".">33.26</td>
<td align="char" char=".">207.94</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.23</td>
<td align="char" char=".">&#x2212;73.19</td>
</tr>
<tr>
<td align="left">WR-2</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,332</td>
<td align="char" char=".">8.37</td>
<td align="center">79.4</td>
<td align="char" char=".">1,484</td>
<td align="char" char=".">733</td>
<td align="char" char=".">231.95</td>
<td align="char" char=".">3.83</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.17</td>
<td align="char" char=".">140.42</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0.42</td>
<td align="char" char=".">19.71</td>
<td align="char" char=".">107.73</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.44</td>
<td align="char" char=".">&#x2212;73.51</td>
</tr>
<tr>
<td align="left">WR-3</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,497</td>
<td align="char" char=".">8.49</td>
<td align="center">77.4</td>
<td align="char" char=".">1,379</td>
<td align="char" char=".">691</td>
<td align="char" char=".">220.62</td>
<td align="char" char=".">3.18</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.8</td>
<td align="char" char=".">135.34</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">11.09</td>
<td align="char" char=".">229.24</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.27</td>
<td align="char" char=".">&#x2212;72.79</td>
</tr>
<tr>
<td align="left">WR-4</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,388</td>
<td align="char" char=".">8.46</td>
<td align="center">78.2</td>
<td align="char" char=".">1,390</td>
<td align="char" char=".">703</td>
<td align="char" char=".">219.13</td>
<td align="char" char=".">3.45</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.69</td>
<td align="char" char=".">147.05</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.14</td>
<td align="char" char=".">7.39</td>
<td align="char" char=".">226.73</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.35</td>
<td align="char" char=".">&#x2212;73.06</td>
</tr>
<tr>
<td align="left">WR-5</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,442</td>
<td align="char" char=".">8.47</td>
<td align="center">79.2</td>
<td align="char" char=".">1,510</td>
<td align="char" char=".">752</td>
<td align="char" char=".">225.36</td>
<td align="char" char=".">3.65</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.8</td>
<td align="char" char=".">146.79</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.7</td>
<td align="char" char=".">14.78</td>
<td align="char" char=".">231.75</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.26</td>
<td align="char" char=".">&#x2212;73.13</td>
</tr>
<tr>
<td align="left">WR-6</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,476</td>
<td align="char" char=".">8.42</td>
<td align="center">78</td>
<td align="char" char=".">1,433</td>
<td align="char" char=".">704</td>
<td align="char" char=".">216.34</td>
<td align="char" char=".">3.15</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.52</td>
<td align="char" char=".">143.42</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">13.55</td>
<td align="char" char=".">209.2</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">-9.32</td>
<td align="char" char=".">-73.22</td>
</tr>
<tr>
<td align="left">WR-7</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,475</td>
<td align="char" char=".">8.37</td>
<td align="center">70</td>
<td align="char" char=".">1,539</td>
<td align="char" char=".">767</td>
<td align="char" char=".">247.27</td>
<td align="char" char=".">4.33</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">6.13</td>
<td align="char" char=".">153.6</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">13.55</td>
<td align="char" char=".">271.83</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.27</td>
<td align="char" char=".">&#x2212;73.01</td>
</tr>
<tr>
<td align="left">WR-8</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,500</td>
<td align="char" char=".">8.4</td>
<td align="center">76.3</td>
<td align="char" char=".">1,524</td>
<td align="char" char=".">762</td>
<td align="char" char=".">235.8</td>
<td align="char" char=".">3.49</td>
<td align="char" char=".">0</td>
<td align="char" char=".">3.09</td>
<td align="char" char=".">6.35</td>
<td align="char" char=".">136.86</td>
<td align="char" char=".">0</td>
<td align="char" char=".">12.42</td>
<td align="char" char=".">13.55</td>
<td align="char" char=".">255.55</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.28</td>
<td align="char" char=".">&#x2212;76.11</td>
</tr>
<tr>
<td align="left">WR-9</td>
<td align="left"/>
<td align="left">29-Nov-2019</td>
<td align="center">2,534</td>
<td align="char" char=".">8.43</td>
<td align="center">80</td>
<td align="char" char=".">1,475</td>
<td align="char" char=".">740</td>
<td align="char" char=".">233.51</td>
<td align="char" char=".">3.7</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.89</td>
<td align="char" char=".">150.25</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">17.25</td>
<td align="char" char=".">234.25</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.27</td>
<td align="char" char=".">&#x2212;73.2</td>
</tr>
<tr>
<td align="left">WR-10</td>
<td align="left"/>
<td align="left">30-Nov-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.42</td>
<td align="center">81</td>
<td align="char" char=".">1,673</td>
<td align="char" char=".">831</td>
<td align="char" char=".">279.5</td>
<td align="char" char=".">4.72</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">6.36</td>
<td align="char" char=".">162</td>
<td align="char" char=".">1.84</td>
<td align="char" char=".">0.47</td>
<td align="char" char=".">12.32</td>
<td align="char" char=".">296.88</td>
<td align="left">Cl&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;9.18</td>
<td align="char" char=".">&#x2212;72.83</td>
</tr>
<tr>
<td align="left">WR-11</td>
<td align="left">Geothermal water (Matouying)</td>
<td align="left">30-Nov-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">8.52</td>
<td align="center">117</td>
<td align="char" char=".">2,794</td>
<td align="char" char=".">1,408</td>
<td align="char" char=".">346.33</td>
<td align="char" char=".">13.63</td>
<td align="char" char=".">0</td>
<td align="char" char=".">71.24</td>
<td align="char" char=".">16.04</td>
<td align="char" char=".">433</td>
<td align="char" char=".">0</td>
<td align="char" char=".">155.19</td>
<td align="char" char=".">11.09</td>
<td align="char" char=".">91.45</td>
<td align="left">Cl&#xb7;SO<sub>4</sub>&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;8.18</td>
<td align="char" char=".">&#x2212;70.73</td>
</tr>
<tr>
<td align="left">WR-12</td>
<td align="left"/>
<td align="left">30-Nov-2019</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">7.27</td>
<td align="center">&#x2014;</td>
<td align="char" char=".">2,239</td>
<td align="char" char=".">1,111</td>
<td align="char" char=".">306.67</td>
<td align="char" char=".">7.26</td>
<td align="char" char=".">0</td>
<td align="char" char=".">4.41</td>
<td align="char" char=".">12.21</td>
<td align="char" char=".">370.99</td>
<td align="char" char=".">0</td>
<td align="char" char=".">144.38</td>
<td align="char" char=".">0</td>
<td align="char" char=".">100.21</td>
<td align="left">Cl&#xb7;SO<sub>4</sub>&#xb7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;8.28</td>
<td align="char" char=".">&#x2212;71.37</td>
</tr>
<tr>
<td align="left">D-1</td>
<td align="left">Geothermal water (Dongying Formation)</td>
<td align="left">3-Dec-2019</td>
<td align="center">2,161&#x2013;2,492</td>
<td align="char" char=".">8.15</td>
<td align="center">8</td>
<td align="char" char=".">3,990</td>
<td align="char" char=".">2,260</td>
<td align="char" char=".">774.01</td>
<td align="char" char=".">16.79</td>
<td align="char" char=".">2.67</td>
<td align="char" char=".">16.88</td>
<td align="char" char=".">3.5</td>
<td align="char" char=".">735.3</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">652.65</td>
<td align="left">Cl&#x00B7;HCO<sub>3</sub>-Na</td>
<td align="char" char=".">&#x2212;8.25</td>
<td align="char" char=".">&#x2212;69.31</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The TDS of the shallow groundwater ranged from 233&#xa0;mg/L to 437&#xa0;mg/L. The pH range of the shallow groundwater was 7.67&#x2013;8.33. The principal cation was Na<sup>&#x2b;</sup>(36&#x2013;104&#xa0;mg/L), which was found in greater concentrations than K<sup>&#x2b;</sup> (0&#x2013;1.08&#xa0;mg/L), Ca<sup>2&#x2b;</sup>(10.2&#x2013;48.6&#xa0;mg/L), and Mg<sup>2&#x2b;</sup>(2.0&#x2013;12.58&#xa0;mg/L). The principal anions were Cl <sup>&#x2212;</sup>, HCO<sub>3</sub> <sup>&#x2212;</sup>, and SO<sub>4</sub>
<sup>2 &#x2212;</sup>. The shallow groundwater water types were HCO<sub>3</sub>-Na&#x00B7;Ca and HCO<sub>3</sub>&#x00B7;SO<sub>4</sub>&#x00B7;Cl-Na&#x00B7;Ca. The TDS of surface water, including river water, pond water, and sea water, was much higher than that of groundwater.</p>
</sec>
<sec id="s4-3">
<title>Water Isotopic Composition</title>
<p>The stable isotope compositions of the water samples are shown in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref> and <xref ref-type="table" rid="T1">Table&#x20;1</xref>, which indicate that stable isotopes of shallow groundwater are located in relatively centralized region with a range of -9.7&#x2030; to -10.2&#x2030; for &#x3b4;<sup>18</sup>O and a range of -77.4&#x2030; to -71.5&#x2030; for &#x3b4;<sup>2</sup>H. We can easily distinguish between the two groups of geothermal water at the Caofeidian and the Matouying. For geothermal water at the Caofeidian, stable isotopes ranged from -9.4&#x2030; to -9.2&#x2030; for &#x3b4;<sup>18</sup>O and from -76.1&#x2030; to &#x2013;72.8&#x2030; for &#x3b4;<sup>2</sup>H, respectively. The stable isotopes of geothermal water at Matouying are more enriched than other groundwater samples with &#x3b4;<sup>18</sup>O values of -8.2&#x2030; and -8.3&#x2030; and &#x3b4;<sup>2</sup>H values of -70.7&#x2030; and -71.4&#x2030;, respectively. The stable isotopes of rivers, ponds, and seas are much more enriched than those of the sampled groundwater. In addition, the local meteoric line (LMWL) presented in previous studies by <xref ref-type="bibr" rid="B11">Fang et&#x20;al. (2014)</xref>, and the equation is &#x3b4;<sup>2</sup>H &#x3d; 6.61&#x3b4;<sup>18</sup>O&#x2b; 0.69. We found that shallow groundwater was distributed along the LMWL, whereas the sampling geothermal waters were all located below the&#x20;LMWL.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Isotopes of all the water samples at the Caofeidian and the Matouying.</p>
</caption>
<graphic xlink:href="feart-10-844605-g007.tif"/>
</fig>
</sec>
<sec id="s4-4">
<title>Groundwater Dating</title>
<p>Based on the hypothesis that dissolved inorganic carbon (DIC) is derived from soil CO<sub>2</sub> and carbonate dissolution, the &#x3b4;<sup>13</sup>C mixing model was used to calculate and correct the groundwater <sup>14</sup>C age based on the significant difference in &#x3b4;<sup>13</sup>C values between soil CO<sub>2</sub> and carbonate minerals (<xref ref-type="bibr" rid="B17">Huang and Pang, 2011</xref>; <xref ref-type="bibr" rid="B22">Kong et&#x20;al., 2020</xref>). The groundwater ages of the geothermal water samples are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Groundwater age of geothermal water at the Caofeidian and the Matouying.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample Label</th>
<th align="center">Region</th>
<th align="center">
<sup>14</sup>C (pmc)</th>
<th align="center">&#x3b4;<sup>13</sup>C (&#x2030;)</th>
<th align="center">Age</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">WR-8</td>
<td align="center">Caofeidian</td>
<td align="char" char=".">1.01</td>
<td align="char" char=".">&#x2212;11.5</td>
<td align="char" char=".">32,258</td>
</tr>
<tr>
<td align="left">WR-9</td>
<td align="center">Caofeidian</td>
<td align="char" char=".">1.98</td>
<td align="char" char=".">&#x2212;11.7</td>
<td align="char" char=".">26,836</td>
</tr>
<tr>
<td align="left">WR-11</td>
<td align="center">Matouying</td>
<td align="char" char=".">3.16</td>
<td align="char" char=".">&#x2212;9.1</td>
<td align="char" char=".">20,894</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As can be seen from <xref ref-type="table" rid="T2">Table&#x20;2</xref>, the geothermal water <sup>14</sup>C at Caofeidian is 1.01&#x2013;1.98 PMC, and the estimated age is 27-32 ka. The geothermal water <sup>14</sup>C at Matouying is 3.16 PMC, and the estimated age is about 21 ka. In general, the geothermal water at Matouying formed more recently than that of the Caofeidian, which indicates a different circulation pattern at the two&#x20;sites.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<sec id="s5-1">
<title>Recharge Source of Geothermal Water</title>
<p>Comparing the hydrochemical composition of geothermal water with shallow groundwater, the water types were different, and the concentrations of K<sup>&#x2b;</sup> and Cl<sup>&#x2212;</sup> were significantly greater in geothermal water (<xref ref-type="fig" rid="F6">Figure&#x20;6</xref> and <xref ref-type="table" rid="T1">Table&#x20;1</xref>). The greater TDS value of geothermal water indicates the geological process by which precipitation infiltrates into the ground and then interacts with the minerals through which it flows (<xref ref-type="bibr" rid="B53">Domenico and Schwartz, 1998</xref>; <xref ref-type="bibr" rid="B28">Ma et&#x20;al., 2011</xref>). The isotope composition of geothermal water at both sites deviated from the LMWL and was more enriched in <sup>2</sup>H and <sup>18</sup>O than in shallow groundwater (<xref ref-type="fig" rid="F7">Figure&#x20;7</xref>). For the isotope enrichment of geothermal water, we propose some hypothesis to address the &#x3b4;<sup>18</sup>O-&#x3b4;<sup>2</sup>H pattern of geothermal water in <xref ref-type="fig" rid="F7">Figure&#x20;7</xref>, including evaporation process, water-rock interaction, mixing process and bacterial SO<sub>4</sub>
<sup>2-</sup> reduction process (BSR). First, the evaporation process is usually expressed by evaporation line of surface water like ponds and lakes within a study area. However, the geothermal water isotopes is located far below the water line of ponds water isotope (<xref ref-type="fig" rid="F7">Figure&#x20;7</xref>), which could provide robust evidence to exclude the hypothesis of evaporation. Considering the different isotopic signature of geothermal water, geological settings and hydrothermal patterns at Caofeidian and Matouying, the &#x3b4;<sup>18</sup>O-&#x3b4;<sup>2</sup>H pattern as well as the recharge source of geothermal water at the two places are investigated respectively. For the geothermal water at Caofeidian, the <sup>18</sup>O enrichment of geothermal water may be due to the water-rock interaction with surrounding minerals at certain pressures and temperatures (<xref ref-type="bibr" rid="B33">Pang et&#x20;al., 2017</xref>). For the <sup>2</sup>H enrichment of geothermal water at Caofeidian, we attribute it to the process of bacterial SO<sub>4</sub>
<sup>2-</sup> reduction (BSR), which converts SO<sub>4</sub>
<sup>2-</sup> to H<sub>2</sub>S and accompanies the enrichment for <sup>2</sup>H. The low concentration of SO<sub>4</sub>
<sup>2-</sup> in geothermal water provides evidence for the occurrence of the BSR process (<xref ref-type="bibr" rid="B30">Matray et&#x20;al., 1994</xref>). Such phenomenon has also been detected in the geothermal water of Niutuizhen reservoir, northern China (<xref ref-type="bibr" rid="B22">Kong et&#x20;al., 2020</xref>). However, the reduction of SO<sub>4</sub>
<sup>2-</sup> (approximately 0.05&#xa0;g) was not sufficient to increase <sup>2</sup>H by 0.5&#x2030;. There are other reasons for the enrichment of <sup>2</sup>H. We attribute this to the mixing process with groundwater from the underlying Dongying Formation, which may recharge the upper Guantao Formation with more enriched isotopes through the faults connecting the two formations (<xref ref-type="fig" rid="F3">Figure&#x20;3</xref>). As for the Matouying geothermal water, the even more enriched isotopes can be attributed to the water-rock interaction under higher temperature conditions. The high value of <sup>87</sup>Sr/<sup>86</sup>Sr for geothermal water at the Matouying also suggests that the geothermal water has experienced deep circulation into the granite strata at higher temperatures (<xref ref-type="bibr" rid="B3">Barbieri &#x26; Morotti, 2003</xref>; <xref ref-type="bibr" rid="B15">Guo et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B21">Khaska et&#x20;al., 2015</xref>). Besides, the much higher concentration of Li and B of geothermal water than that in the shallow groundwater can also be a good indicator for the deep circulation of geothermal water (<xref ref-type="bibr" rid="B14">Giggenbach et&#x20;al., 1995</xref>).</p>
</sec>
<sec id="s5-2">
<title>Reservoir Temperature Calculation</title>
<p>Considering the low concentrations of Ca<sup>2&#x2b;</sup> and Mg<sup>2&#x2b;</sup> in the geothermal water in the study area, Na-K geothermometers were employed for the calculation of the reservoir temperature (<xref ref-type="bibr" rid="B13">Fournier, 1979</xref>; <xref ref-type="bibr" rid="B2">Arnorsson et&#x20;al., 1983</xref>; <xref ref-type="bibr" rid="B32">Pang &#x26; Reed, 1998</xref>). According to the calculation results of the Na-K geothermometers, the estimated reservoir temperature is completely different between the geothermal water at Caofeidian and Matouying (<xref ref-type="table" rid="T3">Table&#x20;3</xref>). The reservoir temperature at the Caofeidian is 83&#x2013;92&#xb0;C while the reservoir temperature at the Matouying is 107&#x2013;137&#xb0;C, which also indicates the different geothermal systems at the two&#x20;sites.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Estimated reservoir temperature at the Caofeidian and the Matouying.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Sampling Lable</th>
<th align="center">WR-1</th>
<th align="center">WR-2</th>
<th align="center">WR-3</th>
<th align="center">WR-4</th>
<th align="center">WR-5</th>
<th align="center">WR-6</th>
<th align="center">WR-7</th>
<th align="center">WR-8</th>
<th align="center">WR-9</th>
<th align="center">WR-10</th>
<th align="center">WR-11</th>
<th align="center">WR-12</th>
</tr>
<tr>
<th colspan="10" align="center">Caofeidian</th>
<th colspan="2" align="center">Matouying</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">T (&#xb0;C)</td>
<td align="char" char=".">83.6</td>
<td align="char" char=".">89.7</td>
<td align="char" char=".">82.6</td>
<td align="char" char=".">86.8</td>
<td align="char" char=".">88.1</td>
<td align="char" char=".">83.1</td>
<td align="char" char=".">92</td>
<td align="char" char=".">83.9</td>
<td align="char" char=".">87.1</td>
<td align="char" char=".">90.2</td>
<td align="char" char=".">136.6</td>
<td align="char" char=".">107.4</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5-3">
<title>Heat Sources</title>
<p>The reservoir temperature of the geothermal water at the Matouying is much greater than that at Caofeidian (<xref ref-type="table" rid="T2">Table&#x20;2</xref>). We attribute the thermal anomalies at the Matouyong to the normal thermal conductivity as well as the radioactive heat generated by the granite (<xref ref-type="bibr" rid="B46">Wang, 2015b</xref>; <xref ref-type="bibr" rid="B49">Zhang et&#x20;al., 2020a</xref>). The much greater concentration of radioactive heat-generating elements including uranium (U), thorium (Th), and potassium (K) observed in geothermal water at the Matouying suggests the existence of additional radioactive heat (<xref ref-type="table" rid="T4">Table&#x20;4</xref>). In addition, the higher concentration of Sr and <sup>87</sup>Sr/<sup>86</sup>Sr of geothermal water at Matouying transports the signal from potassium-rich rocks, which also indicates the additional radioactive heat generated from granite (<xref ref-type="bibr" rid="B12">Faure &#x26; Powell, 2012</xref>; <xref ref-type="bibr" rid="B5">Capo et&#x20;al., 1998</xref>). And the radioactive heat from granite has also been illustrated in the granite of the Bohai Bay Basin (<xref ref-type="bibr" rid="B52">Jiang et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B25">Li et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B35">Qiu et&#x20;al., 2015</xref>). Thus, it can be concluded that part of the heat source of the geothermal water at Matouying originates from the heat generated by granite radioactive elements, which is different from the heat source of the geothermal water at the Caofeidian, which originates from the natural geothermal heating of the earth&#x2019;s&#x20;crust.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Trace elements (Li, B, U, Th, Sr) and<sup>87</sup>Sr/<sup>86</sup>Sr characteristic of geothermal water at the Caofeidian and the Matouying.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Sample lable</th>
<th rowspan="2" align="center">Type</th>
<th align="center">Li</th>
<th align="center">B</th>
<th align="center">Sr</th>
<th align="center">U</th>
<th align="center">Th</th>
<th rowspan="2" align="center">
<sup>87</sup>Sr/<sup>86</sup>Sr</th>
</tr>
<tr>
<th align="center">(&#x3bc;g/L)</th>
<th align="center">(&#x3bc;g/L)</th>
<th align="center">(&#x3bc;g/L)</th>
<th align="center">(&#x3bc;g/L)</th>
<th align="center">(&#x3bc;g/L)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">WL-1</td>
<td align="left">Shallow groundwater</td>
<td align="char" char=".">9.53</td>
<td align="char" char=".">6</td>
<td align="char" char=".">401</td>
<td align="char" char=".">0.044</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.708,895</td>
</tr>
<tr>
<td align="left">WL-3</td>
<td align="left"/>
<td align="char" char=".">6.69</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">870</td>
<td align="char" char=".">0.045</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.709,043</td>
</tr>
<tr>
<td align="left">WL-6</td>
<td align="left"/>
<td align="char" char=".">6.41</td>
<td align="char" char=".">1</td>
<td align="char" char=".">674</td>
<td align="char" char=".">0.036</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.70894</td>
</tr>
<tr>
<td align="left">WL-9</td>
<td align="left"/>
<td align="char" char=".">5.4</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">845</td>
<td align="char" char=".">0.048</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.708,938</td>
</tr>
<tr>
<td align="left">WL-11</td>
<td align="left"/>
<td align="char" char=".">4.9</td>
<td align="char" char=".">3</td>
<td align="char" char=".">764</td>
<td align="char" char=".">0.05</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.709,244</td>
</tr>
<tr>
<td align="left">WR-1</td>
<td align="left">Caofeidian geothermal water</td>
<td align="char" char=".">38.4</td>
<td align="char" char=".">311</td>
<td align="char" char=".">69.6</td>
<td align="char" char=".">0.002</td>
<td align="char" char=".">0.02</td>
<td align="char" char=".">0.708,236</td>
</tr>
<tr>
<td align="left">WR-8</td>
<td align="left"/>
<td align="char" char=".">35.9</td>
<td align="char" char=".">284</td>
<td align="char" char=".">92.8</td>
<td align="char" char=".">0.003</td>
<td align="char" char=".">0.005</td>
<td align="char" char=".">0.70998</td>
</tr>
<tr>
<td align="left">WR-9</td>
<td align="left"/>
<td align="char" char=".">31.2</td>
<td align="char" char=".">343</td>
<td align="char" char=".">106</td>
<td align="char" char=".">&#x3c;0.002</td>
<td align="char" char=".">0.003</td>
<td align="char" char=".">0.708,136</td>
</tr>
<tr>
<td align="left">WR-11</td>
<td align="left">Matouying geothermal water</td>
<td align="char" char=".">657</td>
<td align="char" char=".">739</td>
<td align="char" char=".">591</td>
<td align="char" char=".">0.012</td>
<td align="char" char=".">0.008</td>
<td align="char" char=".">0.718,459</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s5-4">
<title>Conceptual Genetic Model</title>
<p>Based on the above analysis with regard to the geological setting, hydrothermal pattern, geochemical, and isotopic data, a conceptual genetic model of the geothermal water in our study area is proposed in <xref ref-type="fig" rid="F8">Figure&#x20;8</xref>. Generally, all geothermal water originates from local precipitation. Then, the different infiltrated water flow pathways would result in distinct geothermal water at the two observation sites. The geothermal water rises upward through deep faults and fractures, which can be regarded as hydrothermal channels. Quaternary deposits comprising immature yellow gravel and clay interbeds serve as cap rocks for geothermal systems. The geochemical and isotopic composition of geothermal water at the Caofeidian indicate that the infiltrated water would experience the water-rock reaction with the sandstone along its pathways, the BSR process, and the mixing process from deeper Ed geothermal water. The Geothermal water flow direction is from the northwest to the southeast. The geothermal water heating source at the Caofeidian is thermal conductivity and fluid convection. The Baigezhuang fault functions as a barrier to divide the two geothermal systems. Geothermal water at the Matouying would infiltrate deep into the granite and ascend at higher temperatures. Thus, the heat generated from radioactive elements within the granite is an additional heat source for geothermal water in the Matouying.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Conceptual model of hydrothermal genesis of the Caofeidian and the Matouying geothermal reservoirs.</p>
</caption>
<graphic xlink:href="feart-10-844605-g008.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s6">
<title>Conclusion</title>
<p>We found different hydrothermal patterns at the Caofeidian and the Matouying geothermal systems through water temperature and pressure monitoring. By conducting detailed geochemical and isotopic analyses of the geothermal water, we investigated the hydrothermal system characteristics of the two geothermal systems and distinguished the recharge source and circulation pattern of geothermal water at the two sites. Although geothermal water originates from precipitation at both systems, the circulation pattern of groundwater is distinct for tthem. The geothermal water at Caofeidian has experienced the process of infiltration, interaction with sandstone, BSR, and mixing with geothermal water from the underlying Dongying Formation. The infiltrated water is able to circulate deeply into the granite underlying the Matouying system. Application of Na-K geothermometers indicated reservoir temperatures to be in the interval of 83&#x2013;92&#xb0;C at the Caofeidian and 107&#x2013;137&#xb0;C at the Matouying, respectively. The corrected <sup>14</sup>C age of geothermal water indicates a lower circulation rate and rare renewability for geothermal water at the Caofeidian system. This study provides multiple information on the geothermal systems in our study area, and the results are instructive and significant with respect to the sustainable exploitation of geothermal resources in the Caofeidian and the Matouying geothermal systems.</p>
</sec>
</body>
<back>
<sec 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 authors.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>YK and WS designed the study and gave conceptual advice. KW, CH, and SP conducted field work, analyzed the laboratory results, and prepared the manuscript. LR, JW, and YD provided row data information and basic information about the geothermal wells. YC, YH, and FT contributed to the geological settings section. DQ, WZ, and FM conducted laboratory analysis of the samples. All authors contributed to the editing of the manuscript, and approval of the content in its current&#x20;form.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was financially supported by the National Key Research and Development Program of China (Grant no. 2019YFB1504101). We also acknowledge the financial support from National Natural Science Foundation of China (Grant no. 52192623), the Youth Innovation Promotion Association of Chinese Academy of Sciences (Grant no. 2020067) and the PetroChina Jidong Oilfield Company.</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<title>Conflict of Interest</title>
<p>Authors LR and JW are employed by Jidong Oilfield Company of PetroChina. Author YD is employed by Advisory Center, China National Petroleum Corporation.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="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>
<ack>
<p>We thank the PetroChina Jidong Oilfield Company for providing the data used in this work and the staff like Liping Yuan, Chaoqun Liu and other individuals who helped the field sampling&#x20;work.</p>
</ack>
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