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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2025.1600851</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Unraveling hydrogeochemical dynamics and mixing mechanisms in North Shandong coastal aquifers: insights from isotopic and geochemical tracers</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Liu</surname>
<given-names>Zhenlin</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="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Gao</surname>
<given-names>Maosheng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Liangqing</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Qiming</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Chang</surname>
<given-names>Xinyue</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Hou</surname>
<given-names>Guohua</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Mengyao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Engineering, China University of Geosciences</institution>, <addr-line>Wuhan, Hubei</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Qingdao Institute of Marine Geology, China Geological Survey</institution>, <addr-line>Qingdao, Shandong</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Chinese Academy of Geological Sciences</institution>, <addr-line>Beijing</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Northern Observation and Research Station of Coastal Salt Marshes, Ministry of Natural Resources</institution>, <addr-line>Qingdao</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Hubei Key Laboratory of Yangtze Catchment Environmental Aquatic Science, School of Environmental Studies, China University of Geosciences</institution>, <addr-line>Wuhan</addr-line>,&#xa0;<country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>No. Eight Geological Brigade, Hebei Geological Prospecting Bureau</institution>, <addr-line>Qinhuangdao</addr-line>,&#xa0;<country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Qinsheng Wei, Ministry of Natural Resources, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Kai Xiao, Southern University of Science and Technology, China</p>
<p>Yong Xiao, Southwest Jiaotong University, China</p>
<p>Zongjun Gao, Shandong University of Science and Technology, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Zhenlin Liu, <email xlink:href="mailto:lzl1341144100@cug.edu.cn">lzl1341144100@cug.edu.cn</email>; Maosheng Gao, <email xlink:href="mailto:gaomsh66@sohu.com">gaomsh66@sohu.com</email> </p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1600851</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>06</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Liu, Gao, Wang, Sun, Chang, Hou and Wang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Liu, Gao, Wang, Sun, Chang, Hou and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The muddy coastal region of North Shandong, China, including Laizhou Bay and the Huanghe River (Yellow River) Delta, is a complex depositional environment where land and sea intersect, creating diverse water types and intricate coastal groundwater formation and evolution. This study focuses on the shallow Holocene aquifer (SHA) and the deep Pleistocene aquifer (DPA) groundwater, using hydrogeochemical, isotope analysis and numerical simulation methods to infer the source of water and salt and hydrogeological chemical processes. The results reveal that the groundwater is a mix of seawater, freshwater, and brine, with significant differences in hydrochemical types and isotopic signatures between the SHA and DPA aquifers. The SHA groundwater is dominated by low salinity (TDS &#x2248; 8 g/L), with the freshwater dominated by Cl-Na and Cl-Na&#xb7;Mg hydrochemical types. In contrast, the DPA groundwater is characterised primarily by high salinity (TDS &#x2248; 72 g/L) and the Cl-Na type. &#x3b4;<sup>18</sup>O-&#x3b4;<sup>2</sup>H deviates from the precipitation line and is close to the seawater evaporation line, indicating stronger seawater intrusion and salt accumulation processes. Interestingly, &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H stable isotopes' relative abundance in the DPA brine samples from the Huanghe River Delta (at a burial depth of ~260 m) and Huanghe River water samples bear a resemblance, suggesting a strong correlation between the river water and the subsurface brine water source in the EPA. The Hydrochemical Facies Evolution Diagram (HFE&#x2013;Diagram) analysis shows 63.77% of SHA samples underwent desalination, while 79.31% of DPA samples experienced seawater intrusion, this was restricted by structural constraints and rock salt dissolution. This study provides new insights into the hydrogeochemical evolution of coastal aquifers.</p>
</abstract>
<kwd-group>
<kwd>groundwater chemistry</kwd>
<kwd>hydrological mixing phenomena</kwd>
<kwd>geological aquifer dynamics</kwd>
<kwd>HFE-Diagram</kwd>
<kwd>hydrochemical evolution</kwd>
</kwd-group>
<counts>
<fig-count count="12"/>
<table-count count="3"/>
<equation-count count="11"/>
<ref-count count="85"/>
<page-count count="17"/>
<word-count count="8173"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Coastal Ocean Processes</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Highlights</title>
<list list-type="order">
<list-item>
<p>Groundwater in the south coast of Laizhou Bay and the Huanghe River delta area exhibits considerable variability across different layers.</p>
</list-item>
<list-item>
<p>There is a strong correlation between the water of the Huanghe River and the underground brine sources in the Early Pleistocene strata.</p>
</list-item>
<list-item>
<p>The rates of seawater intrusion of the SHA and Na&#x2013;Cl were 36.23% and 55.07%, respectively, whereas the rates of seawater intrusion of the DPA were significantly higher than those of the SHA, at 79.31% and 89.66%.</p>
</list-item>
</list>
</sec>
<sec id="s2" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Coastal groundwater environments, characterized by their fragility and sensitivity, possess limited resistance and self-repair ability against external environmental disturbances, a challenge faced globally (<xref ref-type="bibr" rid="B58">Michael et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B46">Jiao and Post, 2019</xref>). They also stand as zones of significant interaction between sea and land, under the dual impact of intense human activities and global climate change (<xref ref-type="bibr" rid="B40">He and Silliman, 2019</xref>). Similar issues are observed in coastal regions worldwide, such as North Shandong of China, highlighting the global relevance of understanding these environments. Fresh groundwater within China&#x2019;s eastern coastal, a critical water resource, is affected by sedimentary environments, geological historical incidents, and human activities, instigating constraints on economic development (<xref ref-type="bibr" rid="B25">Foster and Chilton, 2003</xref>). This has led to continental groundwater salinization, a major global change event. Its resultant freshwater salinization and brine desalination have emerged as unified concerns within the international community (<xref ref-type="bibr" rid="B9">Cary et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B45">Jayathunga et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B36">Han and Currell, 2022</xref>).</p>
<p>Groundwater&#x2019;s chemical elements derive from long&#x2013;term hydrogeochemical interactions between groundwater and geological bodies. The complex muddy coastal contains diverse groundwater types as per total dissolved solids (TDS) contents classifiable into freshwater (&lt;1 g/L), brackish water (1~3 g/L), saline water (3~50 g/L), and brine (&#x2265;50 g/L) (<xref ref-type="bibr" rid="B15">China Geological Survey, 2012</xref>; <xref ref-type="bibr" rid="B30">Gao et&#xa0;al., 2015</xref>). It has been found that the seawater mixture ratio in coastal aquifers spatially and temporally varies, stimulating various hydrogeochemical responses (<xref ref-type="bibr" rid="B47">Kwon et&#xa0;al., 2020</xref>). The chemical components and isotopic characteristics within groundwater environments provide an ideal framework for examining water quality&#x2019;s spatio&#x2013;temporal evolution. Prior studies typically focused on natural state groundwater environments, identifying their controlling factors before anthropogenic action significantly impacted them (<xref ref-type="bibr" rid="B49">Lambrakis, 2006</xref>; <xref ref-type="bibr" rid="B56">Mastrocicco et&#xa0;al., 2021</xref>). Recent global attention has been given to seawater intrusion due to sea&#x2013;level rise triggered by global warming, causing considerable changes to coastal groundwater quality (<xref ref-type="bibr" rid="B76">Werner, 2010</xref>; <xref ref-type="bibr" rid="B73">Van Pham et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B4">Befus et&#xa0;al., 2020</xref>). Groundwater cycling processes are shaped by natural influences like climate change and hydrogeochemistry (<xref ref-type="bibr" rid="B57">Michael et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B34">Gonneea et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B38">Han et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B36">Han and Currell, 2022</xref>), along with human activities (<xref ref-type="bibr" rid="B11">Chen et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B67">Sun et&#xa0;al., 2023a</xref>). Such interplays lead to the evolution or even mutation of groundwater quality. Groundwater exploitation critically impacts the hydrodynamic and hydrochemical properties of groundwater systems (<xref ref-type="bibr" rid="B51">Liu et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B54">MacDonald et&#xa0;al., 2016</xref>) and introduces considerable uncertainty into groundwater environment evolution (<xref ref-type="bibr" rid="B24">Flaux et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B53">Liu et&#xa0;al., 2022</xref>). Hence, coastal face common challenges, including aquifer depletion, groundwater quality degradation, and seawater intrusion, regardless of whether they arise from irrational groundwater resource exploitation or natural causes.</p>
<p>The salinization of coastal groundwater by seawater intrusion has been of great interest. And with the application of disciplines such as marine sedimentation, hydrogeochemistry, isotope hydrology and numerical modelling in the study of coastal zone groundwater (<xref ref-type="bibr" rid="B16">Clark and Fritz, 2013</xref>; <xref ref-type="bibr" rid="B38">Han et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B22">Eissa et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B6">Cao et&#xa0;al., 2020</xref>). In recent years, coastal subsurface brine research has flourished in many countries (<xref ref-type="bibr" rid="B71">Van Engelen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B42">Hussain et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B63">Saeed et&#xa0;al., 2021</xref>), and there are conflicting views on its sources and evolutionary processes. On the Mediterranean coast, for instance, brine salinity results predominantly from the evaporative concentration of seawater, influenced by hydrogeochemistry (<xref ref-type="bibr" rid="B66">Sola et&#xa0;al., 2014</xref>). Meanwhile, a considerable amount of brine at a depth of 400&#x2013;600 m in the Nile Delta is attributed to the uplift of deep brine and the evaporative concentration of seawater and surface water (<xref ref-type="bibr" rid="B59">Nofal et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B71">Van Engelen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B72">Van Engelen et&#xa0;al., 2019</xref>). <xref ref-type="bibr" rid="B26">Frank and Gui (2010)</xref> theory of freezing into brine provides an explanation for subsurface brine in Antarctica&#x2019;s high&#x2013;latitude cold region of McMurdo Sound. In addition, high&#x2013;salt wastewater from desalination plants has emerged as a new salinity source for coastal subsurface brine (<xref ref-type="bibr" rid="B44">Jahnke et&#xa0;al., 2019</xref>). Groundwater salinization along China&#x2019;s densely populated Bohai Sea coast necessitates clarification of salinity origin in subsurface saline and brine, invoking a genesis mechanism. This will inform effective prevention and management of groundwater salinization and address related environmental and geological issues in the region.</p>
<p>The Bohai Sea is a semi-enclosed marginal sea located in the north of China (<xref ref-type="bibr" rid="B83">Zhang et&#xa0;al., 2024</xref>), and the shallow and deep groundwater in the coastal zone have significant differences in chemical characteristics (<xref ref-type="bibr" rid="B7">Cao et&#xa0;al., 2022</xref>). Both geographically and socio-economically, the Shandong Peninsula is an important part of the Bohai Economic Circle, and there are obvious spatial and temporal variations in the distribution of its water resources (<xref ref-type="bibr" rid="B27">Gao et&#xa0;al., 2021</xref>). The Bohai Sea coast of China has been severely affected by seawater intrusion, leading to groundwater salinization, water quality degradation and resource depletion (<xref ref-type="bibr" rid="B81">Xue et&#xa0;al., 1997</xref>; <xref ref-type="bibr" rid="B38">Han et&#xa0;al., 2014</xref>). Since the Pleistocene, these areas have experienced multiple climate fluctuations and sea&#x2013;level changes. Most of the environmental problems in the coastal areas of northern Shandong originate from groundwater issues and the complex problems they cause (<xref ref-type="bibr" rid="B14">Chen et&#xa0;al., 2021</xref>). This paper aims to address two main scientific questions: 1) to investigate how evaporation, mixing, dissolution, filtration and metamorphism control groundwater chemistry under different depositional environments in these coastal regions, using SHA and DPA groundwater in the muddy coastal zone of northern Shandong; and 2) to elucidate the hydrochemical evolution of the Huanghe River delta and the south coast of Laizhou Bay along different groundwater pathways and their aqueous geochemical process similarities and differences.</p>
</sec>
<sec id="s3">
<label>2</label>
<title>Background of the study area and sample analysis methods</title>
<sec id="s3_1">
<label>2.1</label>
<title>Sample point collection and distribution</title>
<p>The muddy coastal zone in northern Shandong is a typical chalky-gravelly coastal plain with a unique geographic location and geologic-historical background (<xref ref-type="bibr" rid="B13">Chen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B67">Sun et&#xa0;al., 2023a</xref>), and its multilayered groundwater aquifer structure and endowed with a variety of hydrochemical types indicate an ideal location for studying the groundwater environment of the coastal zone. The study area, located in the coastal plain of northern Shandong, China, bordering the Bohai Sea, represents a typical coastal region. Coastal environments in the coastal aquifer of Israel and Spain (<xref ref-type="bibr" rid="B65">Sivan et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B55">Mart&#xed;nez-P&#xe9;rez et&#xa0;al., 2022</xref>) use similar groundwater sampling methods (<xref ref-type="bibr" rid="B64">Sheng et&#xa0;al., 2023</xref>). The study area encompasses the alluvial plain of the Huanghe River Delta and the coastal alluvial seafloor in Laizhou Bay, characterized by a semi-humid monsoon climate with an annual average temperature of 12.1&#xb0;C, 599 mm of precipitation, and 1,400 mm of evaporation. Major rivers, including the Weihe, Yuhe, Bailang, Mihe, Xiaoqing, and Huanghe Rivers, traverse the study area, providing freshwater and coarse-grained sediment to the coastal groundwater (<xref ref-type="bibr" rid="B69">Sun et&#xa0;al., 2006</xref>).</p>
<p>The Xiaoqing River delineates the hydrogeological unit, separating the region into the southern coast of Laizhou Bay and the Yellow River Delta. The coastal zones on either side of the Xiaoqing River show different topography, geomorphology, depositional environments and erosion levels due to riverine and oceanic influences (<xref ref-type="bibr" rid="B12">Chen et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B61">Ren et&#xa0;al., 2023</xref>). The southern coast of Laizhou Bay, bordered by the Bohai Sea and the Shandong Peninsula, features a multi-source, short-river deltaic depositional system with Quaternary subsurface brines predominantly concentrated in the Mahe-Weichang River basin, exhibiting a distinctive &#x2018;dumbbell&#x2013;shaped&#x2019; distribution (<xref ref-type="bibr" rid="B30">Gao et&#xa0;al., 2015</xref>). The Huanghe River, originating from the Tibetan Plateau, has formed a fan-shaped delta with an area of about 6,000 km&#xb2; (<xref ref-type="bibr" rid="B85">Zheng et&#xa0;al., 2005</xref>), with sediment accumulation in the estuary creating favorable conditions for groundwater storage (<xref ref-type="bibr" rid="B79">Xue, 1993</xref>).</p>
<p>The study area&#x2019;s stratigraphy consists of four layers: Early Pleistocene (burial depth: 309~172 m), Middle Pleistocene (172~45 m), Pleistocene (45~20 m), and Holocene (&lt;20 m) (<xref ref-type="bibr" rid="B77">Xin and He, 1991</xref>; <xref ref-type="bibr" rid="B35">Guo et&#xa0;al., 2016</xref>) (<xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>). Since the Late Pleistocene, three sea-invasion-recession events have occurred, forming three marine stratigraphic layers: Middle Holocene Huanghua (Qh<sup>2</sup>, 7&#x2013;2.5 ka B.P.), Late Pleistocene Xianxian (Qp<sub>3</sub>
<sup>3</sup>, 40&#x2013;21 ka B.P.), and early Late Pleistocene Cangzhou (Qp31, 110&#x2013;70 ka B.P.) (<xref ref-type="bibr" rid="B30">Gao et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B28">Gao et&#xa0;al., 2016</xref>). The Quaternary stratigraphy, influenced by sea-land interactions, comprises numerous weakly permeable layers and aquifers with varying hydraulic properties (<xref ref-type="bibr" rid="B82">Xue et&#xa0;al., 2000</xref>). The brine aquifer, with a multi-layered structure (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1b</bold>
</xref>), is primarily developed in three marine strata within Quaternary loose sediments (<xref ref-type="bibr" rid="B84">Zheng et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B52">Liu et&#xa0;al., 2017</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Stratigraphic and lithological characteristics of offshore drill cores (Sample BH1 in <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1a</bold>
</xref>) in the Huanghe River Delta (cited in <xref ref-type="bibr" rid="B78">Xin and Yin, 1999</xref>).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Stratigraphy</th>
<th valign="middle" colspan="4" align="center">Lithologic characters</th>
<th valign="middle" rowspan="2" align="center">Remark</th>
</tr>
<tr>
<th valign="middle" align="center">Deposit</th>
<th valign="middle" align="center">Thickness (m)</th>
<th valign="middle" align="center">Buried depth of floor (m)</th>
<th valign="middle" align="center">Color</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" rowspan="3" align="center">Holocene</td>
<td valign="middle" align="center">Clayey silt</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="center">Fine sand/<break/>Clayey silt</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">18</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="center">Silty clay</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">20</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">Containing shell fragments</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">Late Pleistocene</td>
<td valign="middle" align="center">Fine sandy silt</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">22</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="center">Clayey silt</td>
<td valign="middle" align="center">18</td>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="center">Silty clay</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">45</td>
<td valign="middle" align="center">Yellow</td>
<td valign="middle" align="center">Shell fragments seen on the bottom</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">Middle Pleistocene</td>
<td valign="middle" align="center">Fine sandy silt/Clayey silt</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">79</td>
<td valign="middle" align="center">greyish brown</td>
<td valign="middle" align="center">Shell fragments seen on the bottom</td>
</tr>
<tr>
<td valign="middle" align="center">Fine sand/<break/>Clayey silt</td>
<td valign="middle" align="center">65</td>
<td valign="middle" align="center">144</td>
<td valign="middle" align="center">greyish brown</td>
<td valign="middle" align="center">Shell fragments seen in the upper part</td>
</tr>
<tr>
<td valign="middle" align="center">Clayey silt</td>
<td valign="middle" align="center">28</td>
<td valign="middle" align="center">172</td>
<td valign="middle" align="center">yellowish brown</td>
<td valign="middle" align="center">Shell fragments seen in the upper part</td>
</tr>
<tr>
<td valign="middle" rowspan="3" align="center">Early Pleistocene</td>
<td valign="middle" align="center">Silty clay/clayey silt</td>
<td valign="middle" align="center">66</td>
<td valign="middle" align="center">238</td>
<td valign="middle" align="center">yellowish brown</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="center">Silty clay/<break/>Fine sandy silt</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">272</td>
<td valign="middle" align="center">yellowish brown</td>
<td valign="middle" align="center">Large amount of shell fragments seen at 260m</td>
</tr>
<tr>
<td valign="middle" align="center">Silty clay/<break/>Fine sand</td>
<td valign="middle" align="center">37</td>
<td valign="middle" align="center">309</td>
<td valign="middle" align="center">yellowish brown/<break/>reddish brown</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Location map of the study area. <bold>(a)</bold> Distribution of groundwater sample sites. Extent of palaeochannels and alluvial fans in Laizhou Bay from (<xref ref-type="bibr" rid="B39">Han et&#xa0;al., 2002</xref>). Sea invasion line is from (<xref ref-type="bibr" rid="B29">Gao et&#xa0;al., 2023</xref>). Palaeochannels of the Huanghe River Delta modified from (<xref ref-type="bibr" rid="B80">Xue, 1994</xref>; <xref ref-type="bibr" rid="B23">Fan et&#xa0;al., 2006</xref>). <bold>(b)</bold> Geological background of Laizhou Bay (modified from <xref ref-type="bibr" rid="B52">Liu et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B68">Sun et&#xa0;al., 2023b</xref>). Legend: I&#x2013; Silty Clay; II&#x2013; Fine Sand; III&#x2013; Basalt and andesite of Neogene; IV&#x2013; Clayey Sand; V&#x2013; Groundwater level (2021).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g001.tif">
<alt-text content-type="machine-generated">Map and cross-section of the Huanghe River Delta, China, showing groundwater sources and geological features. The map highlights rivers, shallow and deep groundwater, and various transgression lines. A cross-section outlines elevation levels with freshwater, saline, and brine zones in meters, indicating different groundwater types. A legend explains symbols and zones, including fresh groundwater, saline groundwater, brine, and their total dissolved solids (TDS) levels. An inset map locates the study area within China.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_2">
<label>2.2</label>
<title>Sample point collection and distribution</title>
<p>This study, supported by the 2023 Joint Fund &#x2018;Mechanism of Underground Brine Resources Formation and Evolution in Shandong&#x2019;s Coastal&#x2019;, collected water samples from various water bodies in the study area. Our collection totaled 152 samples, compiled from 138 groundwater samples, 12 surface river samples, a single Bohai Sea sample, and a local rainfall sample, with the sea encroachment line encompassing most sample locations (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1a</bold>
</xref>). Primarily, the groundwater sampling was accomplished by utilizing local civil wells, machine wells, and monitoring wells to gather shallow (from SHA) and deep groundwater samples (from DPA). For detailed analysis of brine variances, deep brines in Laizhou Bay were categorized into Deep-upper brine (Late Pleistocene) and Deep-lower brine (Early Pleistocene). All samples were immediately filtered on-site using a 0.22 &#xb5;m membrane. Analytic cation samples were acidified to a pH below 2 with 6 mmol/L nitric acid and stored in 500 mL plastic sampling bottles for water chemistry analysis. Additionally, hydrogen and oxygen isotope testing was conducted on 141 samples using 10 mL brown glass sampling bottles.</p>
</sec>
<sec id="s3_3">
<label>2.3</label>
<title>Sample testing</title>
<p>
<italic>In situ</italic> measurements of groundwater&#x2019;s redox potential, pH, conductivity, and temperature were performed using a Manta+ water quality multi&#x2013;parameter analyzer produced by Eureka, U.S.A. The concentrations of various ions namely K<sup>+</sup>, Na<sup>+</sup>, Ca<sup>2+</sup>, Mg<sup>2+</sup>, and Br<sup>&#x2013;</sup> were tested using an Inductively Coupled Plasma analyzer (ICAP&#x2013;7400). The evaluation of SO<sub>4</sub>
<sup>2&#x2013;</sup> and Cl<sup>&#x2013;</sup> ions was done using Chromatographic Analysis (ICS&#x2013;600), while the HCO<sub>3</sub>
<sup>&#x2013;</sup> ion concentration were established via titration. The Marine Geological Testing Centre of China&#x2019;s Ministry of Natural Resources employed High Temperature Pyrolysis&#x2013;Isotope Ratio Mass Spectrometry (HTP&#x2013;IRMS) to measure the water samples&#x2019; stable isotope contents (&#x3b4;<sup>2</sup>H, &#x3b4;<sup>18</sup>O), using the Vienna Standard Marine Water (V&#x2013;SMOW) as the calculating index. The isotopic uncertainties of &#x3b4;<sup>2</sup>H and &#x3b4;<sup>18</sup>O were &#xb1;1.0&#x2030; and &#xb1;0.2&#x2030;, respectively. Additionally, Beta Laboratory performed tests and analysis on the stable isotopes (&#x3b4;<sup>2</sup>H, &#x3b4;<sup>18</sup>O) of the groundwater samples.</p>
</sec>
<sec id="s3_4">
<label>2.4</label>
<title>Methods of analysis</title>
<sec id="s3_4_1">
<label>2.4.1</label>
<title>Saturation index analysis</title>
<p>The Saturation Index (SI) serves as an indicator, reflecting whether a solution is in equilibrium, unsaturated, or supersaturated vis&#x2013;&#xe0;&#x2013;vis the solid phase (<xref ref-type="bibr" rid="B1">Aghazadeh et&#xa0;al., 2017</xref>). Expressed as the logarithm of the ratio between the Ionic Activity Product (IAP) and the Solubility Product (LP), it utilizes a base&#x2013;10 logarithmic scale (<xref ref-type="disp-formula" rid="eq1">Equation 1</xref>). Realistically, SI values ranging from &#x2013;0.5 to +0.5 convey quasi&#x2013;equilibrium, values less than &#x2013;0.5 signify unsaturation and therefore a dissolved state in relation to given minerals. Meanwhile, values surpassing +0.5 indicate supersaturation, with the relevant minerals in the solution manifesting in a precipitated state (<xref ref-type="bibr" rid="B38">Han et&#xa0;al., 2014</xref>). PHREEQC software was implemented in the execution of hydrogeochemical modelling for this study.</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>g</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where IAP signifies the ions&#x2019; activity product participating in the mineral dissolution reaction. LP denotes the temperature&#x2013;dependent maximum solubility of the mineral.</p>
</sec>
<sec id="s3_4_2">
<label>2.4.2</label>
<title>Mass balance model</title>
<p>In the section of our mass balance model, Cl<sup>&#x2013;</sup> in groundwater forms an ideal sensitivity indicator, owing to its wide distribution, difficulty in adsorption, and significantly minor participation in geochemical reactions, thereby reflecting seawater mixing and serving as an extensively utilized environmental tracer in hydrogeology. Utilizing ion vs. Cl<sup>&#x2013;</sup> molar ratios and the correlational ion distribution, insights into the water&#x2013;rock interactions during weakly permeable layers&#x2019; pore water formation are divulged.</p>
<p>Assuming that groundwater evolution solely incorporates seawater salts with no other water chemistry involvement, the contribution of seawater ions to groundwater salinity can be calculated using the conservation of mass theorem, i.e., the major seawater ion mixing ratio (<xref ref-type="bibr" rid="B31">Giambastiani et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B38">Han et&#xa0;al., 2014</xref>). Given the chloride ions&#x2019; chemical stability and the observed unsaturation of salt rock minerals in groundwater samples&#x2019; saturation index, this study calculated seawater&#x2019;s mixing ratio using Cl<sup>&#x2013;</sup> as a tracer via the following formula:</p>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mixing ratio of seawater. <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the concentration of chloride ions in the groundwater sample (mg/L). <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the concentration of chloride ions in seawater (mg/L). <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the concentration of chloride ions in the freshwater end element (mg/L).</p>
<p>Based on the computed <italic>f</italic> for the chloride ion, the theoretical concentration for each of the major ions present in groundwater can be calculated further (<xref ref-type="disp-formula" rid="eq3">Equation 3</xref>).</p>
<disp-formula id="eq3">
<label>(3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>w</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the theoretical concentration of <inline-formula>
<mml:math display="inline" id="im6">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> ions in groundwater. <inline-formula>
<mml:math display="inline" id="im7">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>S</mml:mi>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im8">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the concentrations of <inline-formula>
<mml:math display="inline" id="im9">
<mml:mi>i</mml:mi>
</mml:math>
</inline-formula> ions in seawater and freshwater end elements, respectively.</p>
<p>The difference between the actual measured sample ion concentration <inline-formula>
<mml:math display="inline" id="im10">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the theoretical ion concentration <inline-formula>
<mml:math display="inline" id="im11">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the aqueous chemical reaction value of the ion <inline-formula>
<mml:math display="inline" id="im12">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="eq4">Equation 4</xref>). Thus, we can express it as follows:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>This result reflects the occurrence of certain hydrogeochemical processes within groundwater that induce variations in the concentration of i ions, as asserted by <xref ref-type="bibr" rid="B20">De Montety et&#xa0;al. (2008)</xref>. Such alterations underscore the dynamic nature of groundwater composition and its susceptibility to environmental and geochemical changes.</p>
</sec>
<sec id="s3_4_3">
<label>2.4.3</label>
<title>HFE&#x2013;diagram</title>
<p>The HFE&#x2013;Diagram as proposed by (<xref ref-type="bibr" rid="B32">Gim&#xe9;nez&#x2013;Forcada, 2010</xref>, <xref ref-type="bibr" rid="B33">Gim&#xe9;nez&#x2013;Forcada, 2014</xref>), serves as a tool for recognizing and comprehending the temporal and spatial intrusion of seawater into coastal aquifers. It provides crucial insights into the hydrochemical variability within these areas. Primarily, the HFE&#x2013;Diagram is employed to evaluate the mixing processes occurring between fresh and saline waters. It is considered particularly efficacious for assessing the intrusion processes of fresh and sea (saline) water within the groundwater of coastal, and identify by the distribution of positive and negative ion percentages (<xref ref-type="bibr" rid="B33">Gim&#xe9;nez&#x2013;Forcada, 2014</xref>). This method largely centers around the distribution and behavior of anions and cations.</p>
</sec>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>3</label>
<title>Results</title>
<sec id="s4_1">
<label>3.1</label>
<title>Groundwater chemical characteristics</title>
<p>In the study region, TDS contents in SHA and DPA groundwater ranged from 0.38&#x2013;34.20 g/L and 0.46&#x2013;156.96 g/L, respectively, with average values of 8.06 g/L and 72.07 g/L. The dominant hydrochemical compositions were Cl&#x2013;Na and Cl&#x2013;Na&#xb7;Mg (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). Major ions indicated a transition from freshwater to brine, with cations evolving from Ca<sup>2+</sup> and Mg<sup>2+</sup> to Na<sup>+</sup>, and anions from Bicarbonate and Sulfate to Chloride. The hydrochemistry of freshwater in SHA is mainly HCO<sub>3</sub>&#x2013;Ca and Cl&#xb7;SO<sub>4</sub>&#x2013;Ca&#xb7;Mg, while in DPA, it&#x2019;s predominantly HCO<sub>3</sub>&#x2013;Ca, HCO<sub>3</sub>&#x2013;Ca&#xb7;Na. The brackish water mainly comprises of Cl&#xb7;SO<sub>4</sub>&#x2013;Na and Cl&#xb7;SO<sub>4</sub>&#x2013;Ca&#xb7;Mg, while Cl&#x2013;Na characterizes both saline and brine waters. DPA groundwater exhibited a larger range of TDS contents and more complex hydrochemical types. Most brines were similar to local seawater, suggesting a seawater origin.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Piper&#x2019;s trilinear plot of multiple water samples (black curve indicates the evolutionary path from freshwater to brine; black dotted circles indicate the main distributions of SHA freshwater, DPA freshwater, brackish water, saline water and brine, respectively).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g002.tif">
<alt-text content-type="machine-generated">Ternary diagrams showing the composition of different water types, including shallow and deep freshwater, brackish water, saline water, and brine. Symbols and colors distinguish categories, with parameters like calcium, magnesium, sodium, bicarbonate, chloride, and sulfate displayed. The central diamond plot synthesizes these compositions.</alt-text>
</graphic>
</fig>
<p>From a regional perspective, Cl&#x2013;Na type groundwater in the offshore DPA of the Huanghe River Delta is more homogeneous, likely due to the extensive marine layer. In contrast, groundwater along the southern coast of Laizhou Bay shows more diverse hydrochemical types, indicating potential mixing with other aquifers.</p>
<p>TDS contents of groundwater samples generally decreased with increasing distance from the coastline (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Within the coastal (&lt;20 km) area, DPA groundwater had higher TDS contents, often exceeding local seawater (24.1 g/L). Beyond 20 km, SHA groundwater TDS significantly lowered to freshwater levels. Near the sea, SHA groundwater was mainly saline, with some brine levels within 10 km. In the 20~30 km range, only DPA groundwater had relatively higher TDS, similar to seawater, suggesting past seawater intrusion influence. The fitted curve showed DPA groundwater had higher TDS than SHA groundwater, with greater change near the coastline. SHA groundwater near the coast had TDS equivalent to local seawater, indicating significant seawater mixing and intrusion influence in near-coastal Holocene strata.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Characteristics of TDS contents distribution in groundwater from land to sea (symbols are the same as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), green solid line is the fitted curve for deep water and blue solid line is the fitted curve for SHA water.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g003.tif">
<alt-text content-type="machine-generated">Scatter plot showing the relationship between total dissolved solids (TDS) in grams per liter and distance in kilometers. Orange triangles and circles represent different data points. Two lines indicate mixing curves: the green curve for deep water and the blue curve for shallow water. Arrows label the curves.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4_2">
<label>3.2</label>
<title>Major ion trends</title>
<p>The relationship between ions and Cl<sup>-</sup> can indicate the source of groundwater salinity (e.g. <xref ref-type="bibr" rid="B21">Edmunds et&#xa0;al., 2006</xref>). In ion vs. Cl<sup>-</sup> plots (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref>), most water samples, particularly saline and brine waters, align closely with the seawater ratio line, as seen in Na<sup>+</sup> vs. Cl<sup>-</sup> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4a</bold>
</xref>), Mg&#xb2;<sup>+</sup> vs. Cl<sup>-</sup> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4b</bold>
</xref>), SO<sub>4</sub>&#xb2;<sup>-</sup> vs. Cl<sup>-</sup> (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4c</bold>
</xref>), and Br<sup>-</sup> vs. Cl<sup>-</sup> relationships (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5a</bold>
</xref>). Fresh and brackish water samples, however, are scattered and shifted upward. Lower salinity groundwater is likely influenced by mineral weathering, which dissolves certain ions and increases total solutes. In high-salinity conditions, re-dissolving mineral ions is difficult. Using the mass balance model (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>), the mixing line between end-element samples was calculated and plotted across water chemistry indicators <xref ref-type="fig" rid="f7">
<bold>(Figure&#xa0;7</bold>
</xref>). Most ions align with seawater and brine end-members, but Ca&#xb2;<sup>+</sup> vs. Cl<sup>-</sup> shows a scattered distribution for groundwater samples (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4d</bold>
</xref>), with significant blending of SHA and DPA freshwater end-members.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Hydrochemical relationships between some ions in groundwater and mean seawater constituents in the study area <bold>(a)</bold> Cl<sup>&#x2013;</sup> vs. Na<sup>+</sup> relationship plot <bold>(b)</bold> Cl<sup>&#x2013;</sup> vs. Mg<sup>2+</sup> relationship plot <bold>(c)</bold> Cl<sup>&#x2013;</sup> vs. SO<sub>4</sub>
<sup>2&#x2013;</sup> relationship plot <bold>(d)</bold> Cl<sup>&#x2013;</sup> vs. Ca<sup>2+</sup>relationships (black dashed line is the freshwater and seawater mixing line, and red dashed line is the freshwater and brine mixing line) (SW, G, H, E, S, C, and B represent the standard seawater values, gypsum saturation point, rock salt saturation point, lagoonal salt saturation point, and the saturation points of potash rock, carnallite, and magnesium hydromagnesite, respectively (refer to <xref ref-type="bibr" rid="B10">Chen, 1983</xref>)) (symbols are the same as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g004.tif">
<alt-text content-type="machine-generated">Four scatter plots show relationships between chloride concentration (Cl&#x207b;) and other ions (Na&#x207a;, Mg&#xb2;&#x207a;, SO&#x2084;&#xb2;&#x207b;, Ca&#xb2;&#x207a;) in milliequivalents per liter. All plots use logarithmic scales and include evaporation and sea ratio lines. Panels are labeled (a) Na&#x207a;, (b) Mg&#xb2;&#x207a;, (c) SO&#x2084;&#xb2;&#x207b;, and (d) Ca&#xb2;&#x207a; with varying data distributions.</alt-text>
</graphic>
</fig>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Cl<sup>&#x2013;</sup> vs. Br<sup>&#x2013;</sup> relations <bold>(a)</bold> Br<sup>&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> relations. <bold>(b)</bold> Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> relations. Deep&#x2013;upper brine (LZ) and some saline waters in the black dashed line, mostly Huanghe River Delta brine in the blue dashed line, and Deep&#x2013;lower brine (LZ) in the orange dashed line on the south coast of Laizhou Bay.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g005.tif">
<alt-text content-type="machine-generated">Two scatter plots compare concentrations of bromide (Br) and chloride (Cl) in various waters. Plot (a) shows Br versus Cl, with data points for freshwater, brackish water, saline water, various types of brines, sea, and rain. Plot (b) depicts Br/Cl ratio versus Cl. Red and blue lines indicate evaporation and sea ratio lines. Data points cluster along these lines, indicating relationships between water types.</alt-text>
</graphic>
</fig>
<p>Saline water with TDS contents exceeding seawater and brine is closely distributed near the seawater evaporation line, indicating groundwater salinity may be linked to seawater or concentrated saline water. Na<sup>+</sup>, Mg&#xb2;<sup>+</sup>, and SO<sub>
<sub>4</sub>
</sub>&#xb2;<sup>-</sup> contents in Northern Shandong&#x2019;s coastal groundwater generally correlate positively with Cl<sup>-</sup> concentration. Cl<sup>-</sup>, Na<sup>+</sup>, and Mg&#xb2;<sup>+</sup> are key seawater components. Groundwater salts could originate from seawater intrusion, marine aerosols, or dissolution of salt rocks by precipitation (see <xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4a&#x2013;c</bold>
</xref>). Most fresh, brackish, and saline water lies below the mixing line (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4a</bold>
</xref>), showing Na<sup>+</sup> depletion and possible cation exchange. Brackish and saline waters deviating from the mixing line may exhibit SO<sub>4</sub>&#xb2;<sup>-</sup> enrichment (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4c</bold>
</xref>), suggesting sulfate mineral dissolution. Further hydrogeochemical analyses are needed to confirm these observations and the groundwater formation evolution due to aquifer sediment contact.</p>
</sec>
<sec id="s4_3">
<label>3.3</label>
<title>&#x3b4;<sup>18</sup>O&#x2013;&#x3b4;<sup>2</sup>H stable isotopes</title>
<p>Located in a temperate semi-humid monsoon climate zone, the study area is a transitional region between land and sea with high evaporation rates. Using the global atmospheric precipitation line equation (&#x3b4;<sup>2</sup>H = 8&#x3b4;<sup>18</sup>O + 10, <xref ref-type="bibr" rid="B17">Craig, 1961</xref>), the local meteorological water line (LMWL) was determined as &#x3b4;<sup>2</sup>H = 7.8&#x3b4;<sup>18</sup>O + 6.3, based on monthly average rainfall data in Yantai from 1986&#x2013;1990. The &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H values for average monthly rainfall were obtained from the IAEA Global Network of Isotopes in Precipitation (GNIP) (<xref ref-type="bibr" rid="B43">IAEA/WMO, 2006</xref>). The regression equation for water samples had a slope of 5.8 (R<sup>2</sup> = 0.91) (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>), lower than global and local atmospheric precipitation lines. The Bohai Coastal Plain, affected by past climatic conditions and sea intrusion-recession events, shows distinct shifts in &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H values in groundwater (&#x2013;78.07 &#x2030; to &#x2013;19.17 &#x2030; for &#x3b4;<sup>2</sup>H, &#x2013;11.26 &#x2030; to &#x2013;2.09 &#x2030; for &#x3b4;<sup>18</sup>O). Most groundwater samples are isotopically below global and local atmospheric precipitation lines, especially those with &#x3b4;<sup>18</sup>O &gt; &#x2013;8 &#x2030;. Isotopes in saline and brine water are enriched, while fresh and brackish water samples align with river water.</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Saturation index of calcite, dolomite, gypsum and rock salt plotted against Cl<sup>&#x2013;</sup>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g006.tif">
<alt-text content-type="machine-generated">A scatter plot showing saturation index (SI) against chloride concentration (Cl&#x207b;) in milligrams per liter. Symbols represent minerals: dolomite, calcite, gypsum, and halite, with shallow samples in black and deep samples in red. SI ranges from -8 to 6, while Cl&#x207b; spans 0 to 80,000 mg/L. A shaded area highlights the SI range of -0.5 to +0.5. A legend explains symbol shapes and colors.</alt-text>
</graphic>
</fig>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Plot of stable isotope &#x3b4;<sup>18</sup>O versus Cl<sup>&#x2013;</sup> in groundwater and surface water in the study area, with the black dashed circle showing the underground brine subject to strong evaporation. (The water types represented by each serial number in the figure are &#x2460;&#x2013;Shallow freshwater; &#x2461;&#x2013;Shallow brackish water; &#x2462;&#x2013;Shallow saline water; &#x2463;&#x2013;Shallow brine; &#x2464;&#x2013;Deep freshwater; &#x2465;&#x2013;Deep brackish water; &#x2466;&#x2013;Deep saline water; &#x2467;&#x2013;Deep brine; &#x2468;&#x2013;River).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g007.tif">
<alt-text content-type="machine-generated">Scatter plot illustrating the relationship between &#x3b4;18O (per mil) and Cl&#x207b; (meq/L) with various colored and shaped markers. The inset legend identifies categories LZ and HH with numbered markers, and a cyan star for rain. Data points represent various elements including sea and evaporation processes, with specific points labeled such as LB01, LB32, and HD46. Curved lines indicate trends or patterns, annotated with numbers indicating levels.</alt-text>
</graphic>
</fig>
<p>Most groundwater samples experience evapotranspiration, resulting in smaller regression equation slopes and intercepts, as depicted by the green dashed line in <xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>. This is evident in saline and brine waters with significantly depleted &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H values. Fresh, brackish, and partially saline waters are near the atmospheric precipitation line, indicating minimal evapotranspiration impact. While saline/brine water from seawater evaporation typically has &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H values above standard seawater (&#x3b4;<sup>2</sup>H = 0 &#x2030;, &#x3b4;<sup>18</sup>O = 0 &#x2030;) (<xref ref-type="bibr" rid="B41">Horita, 2005</xref>), study area groundwater has lower values, suggesting alternative recharge sources. Subsurface brine samples, particularly SHA brine, are depleted in &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H, indicating freshwater mixing with terrestrial isotopes during brine formation. SHA groundwater samples (HD38 and HD40) near the Xiaoqing River&#x2019;s offshore zone have high &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H values, suggesting post-evaporation seawater origin within SHA, similar to standard seawater. Climate factors cause isotopic depletion in most DPA brines. Notably, &#x3b4;<sup>18</sup>O and &#x3b4;<sup>2</sup>H in the Huanghe River Delta DPA brine sample (HD46, ~260 m) closely match the Huanghe River water sample, indicating a strong link between river water and Early Pleistocene strata brine moisture sources.</p>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Stable isotopes in groundwater and surface water (symbols are the same as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>), black solid line is LWML, black dashed line is GWML, green dashed line indicates the fitted curve of groundwater samples, and the green dashed line is the Huanghe River water sample.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g008.tif">
<alt-text content-type="machine-generated">Scatter plot illustrating the relationship between &#x3b4;&#xb9;&#x2078;O and &#x3b4;&#xb2;H, with various symbols representing Huanghe river samples. A green dashed line represents the trend line with the equation &#x3b4;&#xb2;H = 5.88&#x3b4;&#xb9;&#x2078;O - 10, R&#xb2; = 0.91. The plot includes GWML, LWML, and indicated sample points HD38, HD40, and HD46. Axes are labeled with isotopic ratios.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<label>4</label>
<title>Discussion</title>
<sec id="s5_1">
<label>4.1</label>
<title>Mixing process</title>
<p>As previously discussed, groundwater in the study area results from the mixing of seawater, freshwater, and brine. A three-end-member mixing model (SHA freshwater (LB01) and DPA freshwater (LB32) as freshwater end&#x2013;members, seawater (Sea) as the seawater end&#x2013;member, and DPA brine (LB44) as the brine end&#x2013;member) using Cl<sup>&#x2013;</sup> concentration and &#x3b4;<sup>18</sup>O values was applied to trace mixing trajectories and quantify variations in water types (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>). The model shows a correlation between Cl<sup>&#x2013;</sup> concentration and &#x3b4;<sup>18</sup>O values, with &#x3b4;<sup>18</sup>O increasing as Cl<sup>&#x2013;</sup> concentration rises, indicating the model&#x2019;s validity. Most samples are above the DPA fresh-brine mixing line, with freshwater samples between the two mixing lines, having &#x3b4;<sup>18</sup>O values from &#x2013;9.5 to &#x2013;8.2 &#x2030;. The mass balance model (<xref ref-type="disp-formula" rid="eq2">Equation 2</xref>) can estimate the contributions of freshwater, seawater, and brine to the mixed samples.</p>
<p>River water from the Bailang River (BLH) and Weihe River (WH) has high &#x3b4;<sup>18</sup>O values due to upstream reservoir mixing and evaporation. SHA groundwater, recharged by these rivers, shows enriched &#x3b4;<sup>18</sup>O values near the river basins. Post-sea recession interaction between rivers and groundwater is a key process for flushing saline water and reducing groundwater salinity (<xref ref-type="bibr" rid="B48">Kwong and Jiao, 2016</xref>). Atmospheric precipitation also contributes to high &#x3b4;<sup>18</sup>O in SHA water. Most Huanghe River Delta groundwater is in the mixing zone. SHA brines (HD38, HD40) near the Xiaoqing River have high Cl<sup>&#x2013;</sup> &#x2013;&#x3b4;<sup>18</sup>O values, suggesting a blend of evaporated seawater or modern precipitation. This differs from the Laizhou Bay south coast groundwater origin, hypothesizing brine from Holocene seawater via strong evaporation. DPA brine (HD46) at 260m depth has &#x3b4;<sup>18</sup>O values similar to the Huanghe River, indicating Early Pleistocene brine recharge by river water. Other DPA brines at 100m depth mix with desalinated groundwater and seawater, clustering within the mixing line.</p>
</sec>
<sec id="s5_2">
<label>4.2</label>
<title>Water&#x2013;rock action</title>
<sec id="s5_2_1">
<label>4.2.1</label>
<title>Dissolution&#x2013;filtration action</title>
<p>Saturation indices (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>) indicate Rock Salt is mainly dissolved, Gypsum is mostly dissolved or in equilibrium in SHA groundwater, only supersaturated in high-salinity DPA groundwater. Calcite and Dolomite precipitate significantly when Cl<sup>&#x2013;</sup> exceed 10,000 mg/L.</p>
<p>As salinity increases, ion vs. Cl<sup>&#x2013;</sup> relationships tighten towards the mixing line (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>). Na<sup>+</sup> experiences cation exchange, resulting in ratios below the mixing line (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10</bold>
</xref>). Most saline and brine samples have Na<sup>+</sup> vs. Cl<sup>&#x2013;</sup> ratios similar to seawater (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9a</bold>
</xref>). Mg<sup>2+</sup> vs. Cl<sup>&#x2013;</sup> ratios are minimal (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9b</bold>
</xref>) due to dolomite saturation (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>), which induces saturation and precipitation even at lower salinities. Fresh and brackish waters show a wider range of SO<sub>4</sub>
<sup>2&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> ratios, indicating sulphate enrichment and depletion processes (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;8c</bold>
</xref>). Decreasing SO<sub>4</sub>
<sup>2&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> ratios with increasing mineralization suggest brine saturation with gypsum (<xref ref-type="bibr" rid="B2">Andersen et&#xa0;al., 2005</xref>). Some Ca<sup>2+</sup> vs. SO<sub>4</sub>
<sup>2&#x2013;</sup> ratios are minimal (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9d</bold>
</xref>), especially in DPA groundwater, suggesting influence from gypsum dissolution or another SO<sub>4</sub>
<sup>2&#x2013;</sup> source. SPA groundwater samples with high Ca<sup>2+</sup>/SO<sub>4</sub>
<sup>2&#x2013;</sup> ratios suggest Ca<sup>2+</sup> originates from cation exchange at lower salinities. As salinity rises, dolomite and calcite precipitation (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>) results in decreasing Ca<sup>2+</sup> vs. SO<sub>4</sub>
<sup>2&#x2013;</sup> ratios.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Variation of ion/Cl<sup>&#x2013;</sup> with increasing salinity and correspondence with seawater and brine composition. <bold>(a)</bold> Na<sup>+</sup>/Cl<sup>&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> relationship. <bold>(b)</bold> Mg<sup>2+</sup>/Cl<sup>&#x2013;</sup> vs. Mg<sup>2+</sup> relationship. <bold>(c)</bold> SO<sub>4</sub>
<sup>2&#x2013;</sup>/Cl<sup>&#x2013;</sup> vs. SO<sub>4</sub>
<sup>2&#x2013;</sup> relationship. <bold>(d)</bold> Ca<sup>2+</sup>/SO<sub>4</sub>
<sup>2&#x2013;</sup> vs. Ca<sup>2+</sup> relationship. (same symbols as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g009.tif">
<alt-text content-type="machine-generated">Four scatter plots illustrate relationships between ionic ratios and concentrations. Plot (a) shows Na+/Cl- versus Cl- (meq/L), plot (b) displays Mg2+/Cl- versus Cl- (meq/L), plot (c) presents SO4 2-/Cl- versus Cl- (meq/L), and plot (d) depicts Ca2+/SO4 2- versus SO4 2- (meq/L). Each plot features logarithmic scales on both axes, with various data points marked by different symbols and colors, and a fitted curve indicating trends.</alt-text>
</graphic>
</fig>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Cation exchange processes <bold>(a)</bold> Plot of &#x394;Na vs. &#x394;Ca, <bold>(b)</bold> Plot of &#x394;Na vs. &#x394;Mg (symbols are the same as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g010.tif">
<alt-text content-type="machine-generated">Scatterplots (a) and (b) show relationships between various water samples. Plot (a) features &#x394;Ca versus &#x394;Na, with a saline water fitting curve, equation, and R&#xb2; value of 0.51. Plot (b) features &#x394;Mg versus &#x394;Na, highlighting regions for deep brine and shallow water. Data points are marked with triangles and circles in different colors.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s5_2_2">
<label>4.2.2</label>
<title>Cation exchange</title>
<p>Water&#x2013;rock interactions involve more than just dissolution and precipitation. &#x394; values of Na<sup>+</sup>, Ca<sup>2+</sup>, and Mg<sup>2+</sup> were calculated using the mass balance model.</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Na</mml:mtext>
</mml:mrow>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>&lt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>&#x3001;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&gt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>:</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Na</mml:mtext>
</mml:mrow>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>&lt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>&#x3001;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&gt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>:</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>X</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mtable>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Ca</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&lt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>&#x3001;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mtext>Mg</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>&gt;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>:</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2192;</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
</disp-formula>
<p>From <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10a</bold>
</xref>, Ca<sup>2+</sup> is replaced by Na<sup>+</sup> in SHA groundwaters(<xref ref-type="disp-formula" rid="eq5">Equation 5</xref>), while DPA groundwaters show the reverse (the reverse of <xref ref-type="disp-formula" rid="eq5">Equation 5</xref>). &#x394;Ca&lt; 0 in most brines and DPA saline waters is due to calcite and dolomite precipitation (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>). The fitted curve for the saline water samples was y = &#x2013;0.19x+166.96 (R<sup>2</sup> = 0.51), showing a good correlation between Na<sup>+</sup> and Ca<sup>2+</sup> ion exchange in saline water. The correlation between Na<sup>+</sup> and Ca<sup>2+</sup> ion exchange is evident, but Mg<sup>2+</sup> also participates (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10b</bold>
</xref>).Most groundwater samples show Mg<sup>2+</sup> enrichment (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10b</bold>
</xref>), with Na<sup>+</sup> displacing Mg<sup>2+</sup> in SHA groundwater (<xref ref-type="disp-formula" rid="eq6">Equation 6</xref>). In both SHA and DPA brines, Ca<sup>2+</sup> displacing Mg<sup>2+</sup> (<xref ref-type="disp-formula" rid="eq7">Equation 7</xref>), explaining the low &#x394;Ca in <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10a</bold>
</xref>. One sample (LB70) shows Mg<sup>2+</sup> is swapped for Na<sup>+</sup> (the reverse of <xref ref-type="disp-formula" rid="eq6">Equation 6</xref>), leading to elevated Na<sup>+</sup> concentrations (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10b</bold>
</xref>).</p>
</sec>
<sec id="s5_2_3">
<label>4.2.3</label>
<title>Sulphate reduction reactions</title>
<p>SHA freshwater and most brackish water show positive &#x394;SO<sub>4</sub> values, indicating sulphate enrichment, while saline and brine water show both enrichment and depletion (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11a</bold>
</xref>). Gypsum dissolution contributes to SO<sub>4</sub>
<sup>2&#x2013;</sup> enrichment in fresh and brackish water, while gypsum saturation and CaSO<sub>4</sub> precipitation lead to SO<sub>4</sub>
<sup>2&#x2013;</sup> reduction in brines. Most samples diverge from the 1:1 line, suggesting additional processes result in SO<sub>4</sub>
<sup>2&#x2013;</sup> depletion. The reductive environment due to limited permeability and organic matter in marine sediments favors sulphate reduction reactions (<xref ref-type="bibr" rid="B19">Dang, 2022</xref>). The reaction could be represented by the forthcoming (<xref ref-type="disp-formula" rid="eq8">Equation 8</xref>):</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Sulphate Reaction Processes <bold>(a)</bold> Plot of &#x394;Ca vs. &#x394;SO<sub>4</sub> Relationship <bold>(b)</bold> Plot of &#x394;HCO<sub>3</sub> vs. &#x394;SO<sub>4</sub> Relationship (Symbols are the same as in <xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g011.tif">
<alt-text content-type="machine-generated">Two scatter plots analyze data related to gypsum. Plot (a) shows the relationship between changes in sulfate (&#x394;SO&#x2084;) and calcium (&#x394;Ca), marked by a 1:1 line indicating gypsum dissolution and precipitation. Plot (b) presents changes in sulfate (&#x394;SO&#x2084;) versus bicarbonate (&#x394;HCO&#x2083;), with a 1:2 line. Different colored triangles and circles represent data points, illustrating the variation in measurements.</alt-text>
</graphic>
</fig>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:msubsup>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>n</mml:mi>
</mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mover>
<mml:mo>&#x2192;</mml:mo>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x2013;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:mover>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:msubsup>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Positive &#x394;HCO<sub>3</sub> values in nearly all samples indicate an excess of HCO<sub>3</sub>
<sup>&#x2013;</sup> (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11a</bold>
</xref>). Calcite and dolomite dissolution at lower salinities (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>) explains elevated &#x394;HCO<sub>3</sub> in fresh and brackish waters. High &#x394;HCO<sub>3</sub> in saline and brine waters, especially in DPA brines, supports sulphate reduction reactions. &#x394;SO<sub>4</sub> shows pronounced depletion when superimposed on gypsum precipitation. Moreover, owing to the copious presence of HCO<sub>3</sub>
<sup>&#x2013;</sup> in the groundwater, further depletion transpires through precipitation with Ca<sup>2+</sup> in the groundwater. This phenomenon sheds light on why most brines in <xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10a</bold>
</xref> display &#x394;Ca&lt;0. The deviation of samples from the 1:2 line results from the interplay of these processes.</p>
</sec>
</sec>
<sec id="s5_3">
<label>4.3</label>
<title>Hydrogeochemical modelling</title>
<p>In Section 4.2, we discussed the water&#x2013;rock interactions of groundwater. To further understand these interactions, we conducted inversion simulations to identify hydrochemical reactions and changes in ion concentrations.</p>
<p>We selected three paths along the groundwater flow direction to simulate the south bank of Laizhou Bay and the Huanghe River Delta. The paths in the Laizhou Bay area are Path I (LB30 &#x2192; LB35), Path II (LB35 &#x2192; LB73), and Path III (LB73 &#x2192; LB46). In the Huanghe River Delta, we considered Path IV (HD23 &#x2192; HD59) and Path V (HD59 &#x2192; HD62) (<xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref>). Given the selected pathways and the hydrogeological background of the study area, we finally selected dolomite, calcite, gypsum, rock salt, quartz, sodium feldspar, potassium feldspar, and cation exchange as the &#x2018;probable mineral phases&#x2019; in the Huanghe River delta (<xref ref-type="bibr" rid="B70">Tian et&#xa0;al., 2021</xref>), with the additional presence of hematite and pyrite in the Laizhou Bay area (<xref ref-type="bibr" rid="B75">Wang et&#xa0;al., 2023</xref>; <xref ref-type="bibr" rid="B50">Li et&#xa0;al., 2021</xref>) (<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref>). Dolomite was set to only precipitate, while gypsum and calcite were set to only dissolve. Simulations accounted for cation exchange between Ca<sup>2+</sup>, Mg<sup>2+</sup>, and Na<sup>+</sup> under seawater intrusion or aquifer renewal conditions. The outcomes were used to analyze CO<sub>2</sub> dissolution and release, identifying inorganic carbon sources and sinks. The analysis focused on seven elements: Na<sup>+</sup>, K<sup>+</sup>, Ca<sup>2+</sup>, Mg<sup>2+</sup>, Cl<sup>&#x2013;</sup>, HCO<sub>3</sub>
<sup>&#x2013;</sup>, and SO<sub>4</sub>
<sup>2&#x2013;</sup>.</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Inverse modelling scenarios for mineral assemblage and molar transfer.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="center">Simulation pathway</th>
<th valign="middle" colspan="11" align="center">Minimal phases</th>
</tr>
<tr>
<th valign="middle" align="center">Calcite</th>
<th valign="middle" align="center">Dolomite</th>
<th valign="middle" align="center">Gypsum</th>
<th valign="middle" align="center">Halite</th>
<th valign="middle" align="center">MgX<sub>2</sub>
</th>
<th valign="middle" align="center">CaX<sub>2</sub>
</th>
<th valign="middle" align="center">NaX</th>
<th valign="middle" align="center">CO<sub>2</sub>(g)</th>
<th valign="middle" align="center">Sylvite</th>
<th valign="middle" align="center">Albite</th>
<th valign="middle" align="center">Potash feldspar</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">Path I<break/>(LB30 &#x2192; LB35)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&#x2013;5.4e&#x2013;4</td>
<td valign="middle" align="center">2.4e&#x2013;2</td>
<td valign="middle" align="center">5.3e&#x2013;1</td>
<td valign="middle" align="center">8.4e&#x2013;2</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&#x2013;1.68e&#x2013;1</td>
<td valign="middle" align="center">&#x2013;2.5e&#x2013;3</td>
<td valign="middle" align="center">2.0e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Path II<break/>(LB35 &#x2192; LB73)</td>
<td valign="middle" align="center">1.3e&#x2013;2</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">4.9e&#x2013;2</td>
<td valign="middle" align="center">1.0e+0</td>
<td valign="middle" align="center">1.2e&#x2013;1</td>
<td valign="middle" align="center">&#x2013;6.5e&#x2013;2</td>
<td valign="middle" align="center">&#x2013;1.08e&#x2013;1</td>
<td valign="middle" align="center">1.4e&#x2013;2</td>
<td valign="middle" align="center">1.1e&#x2013;2</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Path III<break/>(LB73 &#x2192; LB46)</td>
<td valign="middle" align="center">&#x2013;8.9e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">5.1e&#x2013;2</td>
<td valign="middle" align="center">1.8e&#x2013;1</td>
<td valign="middle" align="center">6.8e&#x2013;2</td>
<td valign="middle" align="center">&#x2013;3.9e&#x2013;2</td>
<td valign="middle" align="center">&#x2013;5.77e&#x2013;2</td>
<td valign="middle" align="center">&#x2013;9.9e&#x2013;3</td>
<td valign="middle" align="center">6.3e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Path IV<break/>(HD23 &#x2192; HD59)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">4.8e&#x2013;2</td>
<td valign="middle" align="center">7.4e&#x2013;1</td>
<td valign="middle" align="center">5.6e&#x2013;2</td>
<td valign="middle" align="center">&#x2013;5.6e&#x2013;2</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&#x2013;1.9e&#x2013;4</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
</tr>
<tr>
<td valign="middle" align="center">Path V<break/>(HD59 &#x2192; HD62)</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center"/>
<td valign="middle" align="center">&#x2013;2.5e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">5.7e&#x2013;3</td>
<td valign="middle" align="center">&#x2013;5.7e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">3.3e&#x2013;3</td>
<td valign="middle" align="center"/>
<td valign="middle" align="center">8.8e&#x2013;3</td>
<td valign="middle" align="center">&#x2013;8.8e&#x2013;3</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>A positive number of phase transfer moles indicates dissolution of the mineral, a negative number is precipitation. Concentrations in mol/L. CaX2, MgX2 and NaX represent exchange species including stoichiometry of exchange ion and exchanger.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Chemical formulae and reaction equations for mineral phases.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Minimal phases</th>
<th valign="middle" align="left">Chemical formula</th>
<th valign="middle" align="left">Reaction equation</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Calcite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:msubsup>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mi>O</mml:mi>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Dolomite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im15">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im16">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>M</mml:mi>
<mml:msup>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>H</mml:mi>
<mml:mi>C</mml:mi>
<mml:msubsup>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>O</mml:mi>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Gypsum</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im17">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im18">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>S</mml:mi>
<mml:msubsup>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Halite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im19">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im20">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>N</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Sylvite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im21">
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im22">
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mi>K</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>l</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Pyrite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im23">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>F</mml:mi>
<mml:mi>e</mml:mi>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>F</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>H</mml:mi>
<mml:msup>
<mml:mi>S</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Hematite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>6</mml:mn>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>=</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>F</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Albite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im28">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>8</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>N</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Anorthite</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im30">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mi>l</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>8</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>C</mml:mi>
<mml:msup>
<mml:mi>a</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>+</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Potash feldspar</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im32">
<mml:mrow>
<mml:mi>K</mml:mi>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>S</mml:mi>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>8</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:msup>
<mml:mi>K</mml:mi>
<mml:mo>+</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>4</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>+</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Quartz</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im33">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im34">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>+</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>i</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td valign="middle" align="left">Cation exchange</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>X</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>M</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td valign="middle" align="left">
<inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>N</mml:mi>
<mml:mi>a</mml:mi>
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<p>The cation exchange involving Na<sup>+</sup> replacing Ca<sup>2+</sup> or Mg<sup>2+</sup>, and Ca<sup>2+</sup> replacing Mg<sup>2+</sup> in all pathways along the south coast of Laizhou Bay aligns with the findings in Section 4.2.2, suggesting active seawater intrusion. In Path I, the transition from freshwater to saltwater involves the dissolution of gypsum, rock salt, and potassium salt, leading to increased ion content, dolomite precipitation, and CO<sub>2</sub> release. Despite Ca<sup>2+</sup> consumption by dolomite precipitation, Ca<sup>2+</sup> concentration in groundwater slightly rises due to gypsum dissolution and Na<sup>+</sup> exchange. Path II (from saltwater to brine) and Path III (from brine to brine) exhibit similar patterns, with calcite, gypsum, rock salt, and potassium salt dissolution and CO<sub>2</sub> absorption. High Na<sup>+</sup> concentration in coastal groundwater triggers Na<sup>+</sup> replacement reactions with Ca<sup>2+</sup> and Mg<sup>2+</sup> in the aquifer. Extensive gypsum dissolution increases calcium ions, enhancing calcite solubility and leading to calcite dissolution.</p>
<p>The Huanghe River Delta includes Path IV (from brackish water to brine) and Path V (from high concentration (TDS content: 121 g/L) brine to low concentration (TDS content: 92 g/L) brine). Path IV involves gypsum dissolution and potassium salt precipitation. Path V involves the dissolution of albite and the precipitation of potassium feldspar, with CO<sub>2</sub> absorption. Seawater intrusion at the HD62 sample site leads to albite dissolution and potassium feldspar precipitation, indicating significant interaction between seawater and subsurface brine. Both paths show equal cation exchange between Ca<sup>2+</sup> and Mg<sup>2+</sup>, due to the ionic radius and adsorption energy of Ca<sup>2+</sup> in the coastal aquifer, facilitating exchange with clay minerals (<xref ref-type="bibr" rid="B8">Capuano and Jones, 2020</xref>). In the saline environment, Na<sup>+</sup> and Mg<sup>2+</sup> concentrations are elevated, with Na<sup>+</sup> being predominant (<xref ref-type="bibr" rid="B60">Qin et&#xa0;al., 2023</xref>).</p>
</sec>
<sec id="s5_4">
<label>4.4</label>
<title>Cl<sup>&#x2013;</sup> vs. Br<sup>&#x2013;</sup> relationship</title>
<p>Significant fluctuations in the Br<sup>&#x2013;</sup> vs. Cl<sup>&#x2013;</sup> ratio in freshwater and brackish water with lower Cl<sup>&#x2013;</sup> concentration are noted, influenced by atmospheric precipitation or anthropogenic factors (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5b</bold>
</xref>). Offshore groundwater samples are close to the seawater ratio line, indicating predominant seawater mixing as the source of salinity. The Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> ratio is unreliable for identifying salinity sources when TDS is less than 2 g/L (<xref ref-type="bibr" rid="B37">Han et&#xa0;al., 2011</xref>). SHA brine and certain brackish waters show lower Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> values compared to seawater, enclosed within the black dashed line of the study region, which is due to the significant increase in Cl<sup>&#x2013;</sup> concentration from the dissolution of rock salt. Highly mineralized SHA brine and Deep&#x2013;upper brine (LZ) show a linear decrease in Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> with increasing Cl<sup>&#x2013;</sup>.</p>
<p>Typically, the Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> ratio stays consistent during seawater evaporation, that is, as groundwater salinity intensifies (<xref ref-type="bibr" rid="B5">Bottomley et&#xa0;al., 1994</xref>; <xref ref-type="bibr" rid="B74">Vengosh and Hendry, 2001</xref>), until it reaches rock salt saturation. Underground brine samples from the Huanghe River Delta, particularly the DPA brine, exhibit larger Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup> ratios, exceeding those of the seawater ratio line. This suggests that they may have passed the rock salt saturation stage, advancing towards the lagoonal salt saturation phase, which could have prompted Cl<sup>&#x2013;</sup> precipitation in water, followed by mixing with freshwater, subsequently reducing salinity. Deep&#x2013;lower brine (LZ) samples within the red dotted line, located along the river&#x2013;adjacent coastal, with a burial depth of 80~200m, possess higher Br<sup>&#x2013;</sup>/Cl<sup>&#x2013;</sup>. This could be attributed to the decomposition of organic matter within the marine layer of the DPA groundwater.</p>
</sec>
<sec id="s5_5">
<label>4.5</label>
<title>HFE&#x2013;diagram analysis</title>
<p>The HFE&#x2013;Diagram analysis confirms that groundwater salinity is high (within a 20 km radius from the coastline), with significant seawater intrusion. The mineralization of SHA and DPA groundwater decreases with desalination and increases with seawater intrusion in<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>. Brine samples cluster near the end stages of intrusion. The desalination endpoints in SHA align with LB01 (<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12a</bold>
</xref>), and in DPA with LB32 (<xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12b</bold>
</xref>), consistent with previous mixing process findings in <xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>. In SHA, 63.77% of samples undergo desalination and 36.23% intrusion, with Na&#x2013;Cl as the predominant phase (55.07%). This reflects the influence of shallow water controlled by hydrologic cycle processes and surface water recharge. In DPA, 79.31% of samples experience intrusion and 20.69% desalination, with Na&#x2013;Cl being most abundant (89.66%). The DPA groundwater, on the other hand, is predominantly saline, which is controlled by tectonic conditions of confinement and rock salt dissolution. Extensive groundwater extraction has impacted both quantity and quality (<xref ref-type="bibr" rid="B18">Currell et&#xa0;al., 2012</xref>), but most samples show a trend towards seawater intrusion, reflecting global coastal aquifer trends (<xref ref-type="bibr" rid="B62">Ri et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B3">Azari and Tabari, 2024</xref>).</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>Groundwater hydrochemical phase evolution <bold>(a)</bold> SHA groundwater hydrochemical phase evolution <bold>(b)</bold> DPA hydrochemical phase evolution.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1600851-g012.tif">
<alt-text content-type="machine-generated">Two Durov diagrams illustrate hydrochemical data. Diagram (a) shows an upward blue arrow labeled &#x201c;Freshening&#x201d; and a downward red arrow labeled &#x201c;Intrusion&#x201d;, with data points representing freshwater, brackish water, saline water, and brine. Diagram (b) follows a similar layout, with a focus on different samples. The x-axis ranges from sodium plus potassium to magnesium plus calcium, while the y-axis ranges from sulfate plus carbonate to chloride.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s6" sec-type="conclusions">
<label>5</label>
<title>Conclusions</title>
<p>This study uses hydrogeochemical and environmental isotope methods to examine the mixing processes of groundwater in the muddy coastal region of northern Shandong. We integrated a mass balance model with hydrogeochemical simulations to explore processes such as mineral dissolution, precipitation, ion exchange, and reduction reactions. The research enhances understanding of salinization and desalination in coastal aquifers, contributing to global coastal aquifer management.</p>
<list list-type="order">
<list-item>
<p>The study area&#x2019;s groundwater shows diverse quality types: freshwater, brackish water, saline water, and brine. Freshwater chemistry stems from mineral dissolution, brackish water from rock weathering and seawater mixing, and brine water from early evaporation and concentration. Both SHA and DPA aquifers are affected by seawater intrusion, with high Cl<sup>-</sup> and Na<sup>+</sup> concentrations, especially in DPA.</p>
</list-item>
<list-item>
<p>A three-component mixing model of freshwater, brine, and seawater was identified, estimating their relative contributions. This model offers a new reference for studying coastal groundwater formation. SHA groundwater mixing is complex, with recent formation and short-lived processes, making it susceptible to quality changes. Isotope analyses show that the SHA and DPA groundwater is recharged by precipitation and river infiltration. Concentrated brines originate from low-isotopic-abundance atmospheric water, which leads to &#x3b4;&#xb9;<sup>8</sup>O and &#x3b4;&#xb2;H depletion in the brines.</p>
</list-item>
<list-item>
<p>There are significant differences in groundwater hydrochemistry, ion composition, isotopic characteristics and environmental impacts between Laizhou Bay&#x2019;s south coast and the Huanghe River Delta. Laizhou Bay&#x2019;s SHA aquifer shows HCO<sub>3</sub>&#x2013;Ca and Cl&#x2013;SO<sub>4</sub>&#x2013;Ca&#x2013;Mg types, while its DPA aquifer is dominated by HCO<sub>3</sub>&#x2013;Ca and HCO<sub>3</sub>&#x2013;Ca&#x2013;Na types. The Huanghe River Delta&#x2019;s SHA aquifer is primarily Cl&#x2013;Na, and its DPA aquifer contains Cl&#x2013;Na and Cl&#x2013;Na&#x2013;Mg types. Laizhou Bay&#x2019;s SHA aquifer has higher calcium and magnesium, while the Huanghe River Delta&#x2019;s DPA aquifer has significant sodium. The isotopic signatures of Laizhou Bay&#x2019;s SHA aquifer show high variability, indicating diverse water sources and processes, while the Huanghe River Delta&#x2019;s DPA aquifer shows stable signatures similar to Huanghe River water, indicating riverine contribution. These differences highlight the distinct hydrogeological conditions and evolution histories of the two regions.</p>
</list-item>
<list-item>
<p>The study also investigated the distribution and genesis of groundwater brines. The brine layer along Laizhou Bay&#x2019;s south coast shows clear stratification, divided into SPA brine, DPA shallow brine, and DPA deep brine. The Br<sup>-</sup> vs. Cl<sup>-</sup> ratio in DPA deep&#x2013;upper brine decreases linearly with Cl<sup>-</sup> concentration, indicating salinity from evaporated seawater salt dissolution. The Huanghe River Delta&#x2019;s brines are divided into two layers: SHA brine in the Xiaoqing River estuary&#x2019;s north and DPA brine associated with the Huanghe River channel aquifer, strongly mixed by early river recharge. Data support that brine formation relates to seawater evaporation and sedimentation, providing a basis for understanding regional groundwater brine distribution and mechanisms. Future studies should focus on isotopic and hydrogeochemical processes to elucidate the groundwater system&#x2019;s evolutionary history.</p>
</list-item>
<list-item>
<p>Most groundwater shows a seawater intrusion trend. Mineralization decreases with desalination and increases with intrusion. The highest HFE&#x2013;diagram for SHA groundwater is Na&#x2013;Cl (55.07%), with 63.77% undergoing desalination and 36.23% intrusion. For DPA groundwater, the highest HFE&#x2013;diagram is also Na&#x2013;Cl (89.66%), with 79.31% intrusion and 20.69% desalination, which is controlled by tectonic conditions of confinement and rock salt dissolution.</p>
</list-item>
</list>
</sec>
</body>
<back>
<sec id="s7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>ZL: Formal Analysis, Writing &#x2013; original draft, Data curation, Methodology, Writing &#x2013; review &amp; editing, Investigation, Conceptualization, Software. MG: Supervision, Writing &#x2013; review &amp; editing, Methodology, Funding acquisition, Investigation, Visualization, Validation, Resources, Project administration. LW: Writing &#x2013; review &amp; editing, Validation, Methodology, Visualization. QS: Investigation, Writing &#x2013; review &amp; editing, Software, Formal Analysis. XC: Investigation, Software, Methodology, Writing &#x2013; review &amp; editing. GH: Methodology, Investigation, Writing &#x2013; review &amp; editing, Visualization. MW: Investigation, Visualization, Writing &#x2013; review &amp; editing, Supervision.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. National Natural Science Foundation of China (U2106203,41977173) National Geological Survey Project of China Geology Survey (No. DD20221775, DD20211401)China-ASEAN maritime cooperation fund (Cooperative researches on the marine geo-environments and geo-hazards in the Yangtze River and the Red River deltas)</p>
</sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec id="s12" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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