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  <front>
    <journal-meta><journal-id journal-id-type="publisher">HESS</journal-id><journal-title-group>
    <journal-title>Hydrology and Earth System Sciences</journal-title>
    <abbrev-journal-title abbrev-type="publisher">HESS</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Hydrol. Earth Syst. Sci.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1607-7938</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/hess-26-1341-2022</article-id><title-group><article-title>Saline groundwater evolution in the Luanhe River delta (China) during the Holocene: hydrochemical, isotopic, <?xmltex \hack{\break}?>and sedimentary evidence</article-title><alt-title>Saline groundwater evolution in the Luanhe River delta during the Holocene</alt-title>
      </title-group><?xmltex \runningtitle{Saline groundwater evolution in the Luanhe River delta during the Holocene}?><?xmltex \runningauthor{X. Dang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Dang</surname><given-names>Xianzhang</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3585-3364</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff2 aff4">
          <name><surname>Gao</surname><given-names>Maosheng</given-names></name>
          <email>gaomsh66@sohu.com</email>
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Wen</surname><given-names>Zhang</given-names></name>
          <email>wenz@cug.edu.cn</email>
        <ext-link>https://orcid.org/0000-0001-9672-3219</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff4">
          <name><surname>Hou</surname><given-names>Guohua</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Jakada</surname><given-names>Hamza</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Ayejoto</surname><given-names>Daniel</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff2 aff3">
          <name><surname>Sun</surname><given-names>Qiming</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>School of Environmental Studies, China University of Geosciences, 388 Lumo Rd, Wuhan, 430074, China</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Qingdao Institute of Marine Geology, CGS, Qingdao, 266237, China</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Chinese Academy of Geological Sciences, Beijing, 100037, China</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Laboratory for Marine Geology, Pilot National Laboratory for Marine
Science and Technology, Qingdao, 266237, China</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Civil Engineering, Baze University, Abuja, Nigeria</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Maosheng Gao (gaomsh66@sohu.com) and Zhang Wen (wenz@cug.edu.cn)</corresp></author-notes><pub-date><day>10</day><month>March</month><year>2022</year></pub-date>
      
      <volume>26</volume>
      <issue>5</issue>
      <fpage>1341</fpage><lpage>1356</lpage>
      <history>
        <date date-type="received"><day>6</day><month>May</month><year>2021</year></date>
           <date date-type="rev-request"><day>20</day><month>May</month><year>2021</year></date>
           <date date-type="rev-recd"><day>28</day><month>January</month><year>2022</year></date>
           <date date-type="accepted"><day>28</day><month>January</month><year>2022</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2022 Xianzhang Dang et al.</copyright-statement>
        <copyright-year>2022</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022.html">This article is available from https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022.html</self-uri><self-uri xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022.pdf">The full text article is available as a PDF file from https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e167">Since the Quaternary Period, paleo-seawater intrusions have been suggested
to explain the observed saline groundwater that extends far inland in
coastal zones. The Luanhe River delta (northwest coast of the Bohai Sea, China)
is characterized by the distribution of saline, brine, brackish, and fresh
groundwater from the coastline inland. The groundwater in this region exhibits a wide range of total dissolved
solids (TDS): 0.38–125.9 g L<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Meanwhile, previous studies have
revealed that this area was significantly affected by Holocene marine
transgression. This study used hydrochemical, isotopic, and sedimentological
methods to investigate groundwater salinization processes in the Luanhe
River delta and its links to paleo-environmental settings. Isotopic
results (<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H, <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C) allowed old groundwater recharge to be distinguished from
new groundwater recharge. Hydrochemical analysis using the PHREEQC code
indicated that the salt in saline and brine groundwater originates from a
marine source. The <inline-formula><mml:math id="M5" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O–Cl relationship diagram yields three-end-member
groundwater mixing, and two mixing scenarios are suggested to explain the
freshening and salinization processes in the study area. When this was interpreted
along with data from paleo-environmental sediments, we found that groundwater
salinization may have occurred since the Holocene marine transgression. The
brine is characterized by radiocarbon activities of <inline-formula><mml:math id="M6" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 50–85 pMC and relatively depleted stable isotopes, which are associated with
seawater evaporation in the ancient lagoon during delta progradation and
mixing with deeper fresh groundwater, which was probably recharged in the cold
Late Pleistocene. The brackish and fresh groundwaters are
characterized by river-like stable isotope values, where high radiocarbon
activities (74.3–105.9 pMC) were formed after the washing out of the salinized
aquifer by surface water in the delta plain. This study presents an approach
that utilizes geochemical indicator analysis with paleo-geographic
reconstruction to better assess groundwater evolutionary patterns in coastal
aquifers.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e235">It is estimated that around 40 % of the world's population live in
coastal areas (UN Atlas, 2010). Groundwater is an important freshwater
resource for domestic consumption and agricultural activities in this region
(Cary et al., 2015; Jayathunga et al., 2020). However, groundwater
salinization poses a significant threat to everyday living and development
activities (Tulipano, 2005; de Montety et al., 2008). In recent decades,
groundwater salinization in coastal zones has prompted widespread concern and has been widely studied.
On the one hand, seawater intrusion due to groundwater pumping is an important
salinization process in coastal aquifers (Reilly and Goodman, 1985;
Werner, 2010, 2013; Han and Currell, 2018). On the other hand, groundwater
salinization caused by paleo-seawater intrusion in response to
Quaternary changes in the global sea level has been reported in many coastal
zones worldwide (Edmunds, 2001; Akouvi, 2008; Santucci et al., 2016, Larsen
et al., 2017).</p>
      <p id="d1e238">Coastal aquifers are linked to the ocean and continental hydrological cycles
(Ferguson and Gleeson, 2012), both of which are influenced by natural and
human-induced change (Jiao and Post, 2019). In the natural state, there is a steady-state
seawater–freshwater interface that extends inland
from the coastal line (Costall et al., 2020). During the Quaternary Period,
however, sea-level fluctuations on geological timescales have caused the
interface to change, allowing seawater intrusion during transgression events
and freshwater flushing during glacial low-sea-level periods, as is
evident from the hydrochemical characteristics of groundwater in coastal
aquifers (Kooi et al., 2000; Sanford, 2010; Aquilina et al., 2015; Lee et
al., 2016). In addition, the hypersaline groundwater found in coastal zones,
particularly brine groundwater with a salinity 2–4 times that of
seawater, cannot be explained solely using a seawater intrusion model
(Sola et al., 2014; Han et al., 2020), and paleo-environment settings must
be taken into consideration (van Engelen et al., 2019). Some studies, for
example, attribute the presence of brine in Mediterranean countries to the
evaporation of seawater in the lagoon system during the Holocene
transgression (Giambastiani et al., 2013; Vallejos et al., 2018).</p>
      <p id="d1e241">The Bohai Sea of northern China was affected by Late Pleistocene
transgressive–regressive cycles, which caused
paleo-saltwater intrusions with various salinities along the coastal aquifers (Du et al., 2015; Li
et al., 2017). Several studies have applied geochemical methods to elucidate
the origin of saline groundwater and salinization processes with an
anthropogenic influence, including the induced mixing of brine water from adjacent
aquifers caused by groundwater overexploitation in Laizhou Bay (Han et al.,
2011, 2014; Liu et al., 2017; Qi et al., 2019). However, the association
between groundwater salinization (especially brine formation) and
paleo-environmental implications are still not clear. Thus, this study
applied a range of chemical, isotopic, and sedimentary indicators to examine
the groundwater salinization processes in the Luanhe River delta (situated along the northwestern coast of the Bohai Sea)
in relation to recharge,
salt sources, mixing behavior, and paleo-geographic evolution. The overall
goal was to understand the evolutionary pattern of groundwater as influenced by
transgression/regression events on a geologic timescale. Our findings are
relevant to aquifer remediation activities in the region as well as other
similar sedimentary environments around the world.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Background on the study area</title>
      <p id="d1e252">The study area is located in northeastern Hebei Province, China, on the west
coast of Bohai (Fig. 1a). It consists of an alluvial fan and
coastal delta bounded by a Holocene maximum transgression line (Xue, 2016).
The delta area can be further divided into two parts: the old delta between the
Douhe River and the Suhe River and the new delta between the Suhe River and the
modern Luanhe River (He et al., 2020). In terms of geomorphology, the study area
is inclined to the south and southwest with a slope of about
0.04 ‰–2 ‰. The temperate monsoon climate of the area affects its
average annual temperature of 12.5 <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and annual rainfall of 601 mm (1956–2010), with 80 % of the annual rainfall occurring between July
and September.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Hydrogeology</title>
      <p id="d1e271">The thickness of Quaternary sediments in the study area is about 400–500 m.
According to their lithology and hydrogeological characteristics, there are four distinct
Quaternary aquifers (Fig. 1b). The
first Holocene aquifer (<inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) is a phreatic or semiconfined aquifer with
a bottom depth of 15–30 m, is primarily composed of fine sand and slit,
and involves fresh, brackish, saline, and brine groundwater (Dang et al., 2020).
The second Late Pleistocene aquifer (<inline-formula><mml:math id="M9" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), the third Middle Pleistocene
aquifer (<inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>), and the fourth Early Pleistocene aquifer (<inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:msub><mml:mi>Q</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) have
bottom depths of 120–170, 250–350, and 350–550 m, respectively. They
are confined aquifers primarily made of medium sand and gravel (Niu et
al., 2019). The first aquifer is mainly recharged by meteoric precipitation
and lateral infiltration of surface water (Li et al., 2013). The groundwater
from the first aquifer is widely extracted for irrigation in the alluvial
fan area. The largest salt farm in North China, the Daqinghe Salt Farm,
uses shallow brine groundwater for salt production in the delta area, where there is only minor
agricultural activity. Except in the alluvial fan area, the
circulation between phreatic and confined aquifers is weak. The deep
groundwater in the second, third, and fourth aquifers is mainly recharged by a
surrounding mountain range and mainly discharged by human pumping (Ma et
al., 2014).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e320"><bold>(a)</bold> Location map of the study area. Also shown are the locations of the sampling site and
published cores in the Luanhe River delta. Cores LT05, HCZ, BXZK01, BXZK02
and BXZK03 are from He et al. (2020); cores NP05, NP03, DY01, DQ03,
DQ04, DY02, MT04, BG07, FB01, A02, and TH04 are from Xu et al. (2020);
core LQZ04 is from Cheng et al. (2020); core FG01 is from Xu
et al. (2011); core Bai03 is from Li and Wang (1983); and core HCZ is from Peng et al. (1981). <bold>(b)</bold> Hydrogeological cross section (A–A' in
Fig. 1a) of the study area; modified from Ma et al. (2014).</p></caption>
          <?xmltex \igopts{width=369.885827pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f01.png"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Sedimentary evolution since the Late Pleistocene</title>
      <p id="d1e342">Previous studies have shown that in the study region, the
salt–fresh groundwater interface gradually deepens from land (depth of <inline-formula><mml:math id="M12" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 5 m) to sea (depth of <inline-formula><mml:math id="M13" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 m), as shown in Fig. 1b, with
salt groundwater primarily occurring in the first aquifer of the delta area
(Li et al., 2013; Ma et al., 2014). According to a stratigraphic transect
along the present coastline (Fig. 2), the series stratigraphic architecture
of the first aquifer consists of Late Pleistocene continental facies –
Holocene marine facies – Holocene delta facies – modern continental facies
or artificial fill, indicating that the sediments of the first aquifer have been deposited through lowstand continental accumulation, marine
transgression, and highstand progradation since the Late Pleistocene.</p>
      <p id="d1e359">The seawater did not reach the modern coastline from the Last Glacial
Maximum to the early Holocene (about 30–9 ka BP). The Luanhe alluvial fan
was active during this period (He et al., 2020). Since about 9000 a BP,
the Holocene marine transgression has approached the present coastline (Xu et
al., 2020), and Holocene marine sediments developed due to the sea-level rise
from 9–7 ka BP. The Holocene marine transgression had reached its maximum
inland area 20 km from the modern coastline by about 7 ka BP (Gao et
al., 1981; Peng et al., 1981; Xue, 2014, 2016) (see the Holocene transgression line in Fig. 1). The modern coastal
plain was formed through the accumulation of the highstand prograding delta on top of Holocene
marine strata, together with artificial fill. In addition, lagoons are important components of the Luanhe River
delta (Feng and Zhang, 1998). Based on the records of lagoon facies in
the published cores for this region, the approximate distribution range of the
buried lagoon is shown as a purple dashed line in Fig. 1a.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e364">Stratigraphic transect along the present coastline of the Luanhe River
delta; modified from He et al. (2020).</p></caption>
          <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f02.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Methods</title>
      <p id="d1e382">In total, 45 water samples were collected from the Luanhe River delta,
including 38 groundwater samples, five surface water samples, one local rain
water sample, and one Bohai seawater sample, during four sampling campaigns from October 2016 to June 2020. Groundwater samples were divided into shallow groundwater
samples and deep groundwater samples, which were pumped from unconfined
and confined aquifers, respectively. The surface water included two Suhe
River water samples and two Luanhe River water samples. Due to the artificial fill
that has modified the coastal landscape, it was difficult to locate the
modern lagoon environment. However, during the investigation, it was found
that the Daqinghe Salt Farm in this area extracts seawater into the
evaporation pond. The mixture of seawater and meteoric water is subject to
evaporation, leading to the formation of concentrated saline water (CSW) in the pond,
similar to the formation of CSW in a coastal lagoon (Stumpp et al., 2014).
Thus, one CSW sample (sample P18) from the evaporation pond was collected.</p>
      <p id="d1e385">Water types were classified according to Zhou (2013) into freshwater (TDS <inline-formula><mml:math id="M14" display="inline"><mml:mi mathvariant="italic">&lt;</mml:mi></mml:math></inline-formula> 1 g L<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), brackish water (TDS <inline-formula><mml:math id="M16" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1–3 g L<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), saline water (TDS <inline-formula><mml:math id="M18" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 3–50 g L<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), and brine (TDS <inline-formula><mml:math id="M20" display="inline"><mml:mi mathvariant="italic">&gt;</mml:mi></mml:math></inline-formula> 50 g L<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). Groundwater sampling
depths and pH values were measured on site using Eureka Manta+(water-quality multiprobe sonde). The
concentrations of K<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Na<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mo>+</mml:mo></mml:msup></mml:math></inline-formula>, Ca<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, Mg<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula>, and Br<inline-formula><mml:math id="M26" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> ions
were measured using inductively coupled plasma analysis (ICAP-7400), while
SO<inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> and Cl<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> ions were determined using ion chromatography
(ICS-600). The HCO<inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn><mml:mo>-</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> concentrations of samples were measured using
titration. The resulting hydrochemical data are listed in Table S1 (see the Supplement).
The stable isotope concentrations (<inline-formula><mml:math id="M30" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O) in the
water samples G02-10, G06-10, G03-05, G04-40, G05-10, G05-46,
G07-27, P07-20, P08-30, P09-30, P10-30, P11-20, P12-40 P14-15, P07-100,
P13-200, P14-300, P15-150, P16-100, P17-200, P18, LH01, LH02, SH01, SH02,
SW01, and R1 were tested at the Experimental &amp; Testing Center of Marine
Geology, Ministry of Natural Resources, China, using high-temperature
pyrolysis–isotope ratio mass spectrometry. The values of <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O
and <inline-formula><mml:math id="M33" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D were calculated with respect to Vienna Standard Mean
Ocean Water (VSMOW), and the uncertainties in <inline-formula><mml:math id="M34" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D and <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O were <inline-formula><mml:math id="M36" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>1.0 ‰ and <inline-formula><mml:math id="M37" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.2 ‰, respectively. The radioisotope measurements (AMS <inline-formula><mml:math id="M38" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C) of the
groundwater samples P14-300, P15-150, and P16-100 were performed at the
Pilot National Laboratory for Marine Science and Technology. Analysis of the stable isotopes
(<inline-formula><mml:math id="M39" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D, <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O, <inline-formula><mml:math id="M41" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C) and the radioisotope in groundwater
samples G10-10, G03-20, G04-15, G05-30, G06-15, G07-15, G08-15, G08-40,
G09-15, G09-40, G10-10, and G10-30 was performed at the Beta Analytic testing laboratory, where the <inline-formula><mml:math id="M42" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and <inline-formula><mml:math id="M43" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D values were also
calculated with respect to VSMOW, and the uncertainties in <inline-formula><mml:math id="M44" display="inline"><mml:mi mathvariant="italic">δ</mml:mi></mml:math></inline-formula>D and
<inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O are listed in Table S1. The <inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C age of groundwater
was calculated using the following equation (Clark and
Fritz, 1997): <inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi>b</mml:mi><mml:mi>t</mml:mi><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8267</mml:mn><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">ln</mml:mi><mml:mfenced close=")" open="("><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mi mathvariant="normal">t</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup><mml:mi mathvariant="normal">C</mml:mi><mml:mo>/</mml:mo><mml:mi>q</mml:mi><mml:mo>⋅</mml:mo><mml:msubsup><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup><mml:mi mathvariant="normal">C</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M48" display="inline"><mml:mi>t</mml:mi></mml:math></inline-formula> is the radiocarbon age in years Before Present (a BP);
<inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>C is the measured <inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activity in % of modern carbon
(pMC); <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msubsup><mml:mi>a</mml:mi><mml:mn mathvariant="normal">0</mml:mn><mml:mn mathvariant="normal">14</mml:mn></mml:msubsup></mml:mrow></mml:math></inline-formula>C is the derived modern <inline-formula><mml:math id="M52" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activity of soil; and <inline-formula><mml:math id="M53" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is
a corrective factor accounting for the dissolution of
calcite, which is assumed to be free of <inline-formula><mml:math id="M54" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C and therefore dilutes the
initial <inline-formula><mml:math id="M55" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activity of aqueous dissolved inorganic carbon (DIC) in recharged water. The results for
<inline-formula><mml:math id="M56" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M57" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C and the uncorrected residence times are listed in Table S2.</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Results</title>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Hydrochemistry</title>
      <p id="d1e862">Except for P13-200 (TDS <inline-formula><mml:math id="M58" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 1.617 g L<inline-formula><mml:math id="M59" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, indicating brackish water), all the deep
groundwater samples in the study region are freshwater. Deep groundwater
hydrochemical forms shift from Ca-HCO<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to Na-HCO<inline-formula><mml:math id="M61" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> upon moving from the
land to the sea (Fig. 3). For the shallow aquifer, the horizontal
salt–fresh groundwater interface corresponds more closely to the maximum Holocene
transgression line (see Fig. 1a). The Ca-HCO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> type of shallow fresh
groundwater is primarily distributed in the alluvial fan region. The
brackish and low-TDS saline groundwaters, which vary from Ca-HCO<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> to
Na-HCO<inline-formula><mml:math id="M64" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> and Na-Cl types, occur mainly in the upper aquifer
(depths of 0–15 m) of the delta area, while the lower part (depths of 20–40 m) contains
Na-Cl-type saline and brine groundwaters with high TDS. Moreover, in terms of the
horizontal distribution of salinity, the groundwater TDS tends to decrease
from west to east, with the TDS values of saline and brine groundwater
generally ranging from 16.57 to 125.97 g L<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the old delta (western delta) and from
3.26 to 52.48 g L<inline-formula><mml:math id="M66" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> in the new delta (eastern delta).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e956">Piper diagram of the various water samples.</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f03.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><?xmltex \opttitle{The stable isotopes ${}^{{2}}$H and ${}^{{18}}$O}?><title>The stable isotopes <inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H and <inline-formula><mml:math id="M68" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O</title>
      <p id="d1e992">Figure 4 shows the relationship between deuterium and oxygen-18. The global
meteoric water line (GMWL, <inline-formula><mml:math id="M69" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H <inline-formula><mml:math id="M70" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 8 <inline-formula><mml:math id="M71" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M72" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M73" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 10) is from Craig (1961), while the local meteoric water
line (LMWL, <inline-formula><mml:math id="M74" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H <inline-formula><mml:math id="M75" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6.6 <inline-formula><mml:math id="M76" display="inline"><mml:mo>⋅</mml:mo></mml:math></inline-formula> <inline-formula><mml:math id="M77" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O <inline-formula><mml:math id="M78" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> 0.3) is
based on <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H and <inline-formula><mml:math id="M80" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O isotope data (1985–2003,
mean monthly rainfall values) from the Tianjin station about 100 km
southwest of the study area (IAEA/WMO, 2006). The deep groundwater samples
exhibit depleted values of stable isotopes, with values of <inline-formula><mml:math id="M81" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H
ranging from <inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>75.52 ‰ to <inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>57.06 ‰ and those of
<inline-formula><mml:math id="M84" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O from <inline-formula><mml:math id="M85" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.82 ‰ to
<inline-formula><mml:math id="M86" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>7.61 ‰. Shallow groundwater samples have higher
hydrogen and oxygen isotope levels, ranging from <inline-formula><mml:math id="M87" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>64.6 % to <inline-formula><mml:math id="M88" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>22.46 % for
<inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H and <inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>8.74 % to <inline-formula><mml:math id="M91" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.07 % for <inline-formula><mml:math id="M92" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O. While the
relatively small overall values of fresh and brackish groundwater samples are
similar to those of the river samples, saline and brine groundwater samples
generally plotted below the LMWL or GMWL, meaning that the water was
subjected to evaporation prior to becoming groundwater recharge (Gibson et al.,
1993), or that multiple-end-member mixing processes were involved (Han et
al., 2011).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1209">Stable isotope compositions of different water samples. Seawater
mixing line: mixing between deep fresh groundwater and seawater; CSW mixing
line: mixing between deep fresh groundwater and CSW.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f04.png"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Groundwater residence times</title>
      <p id="d1e1226">The measured <inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activities of groundwater samples range from 0.774 to
105.9 pMC (Table S2). A plot of sampling depth versus <inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C is shown
in Fig. 5; this elucidates a negative correlation, showing that
the variation in <inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activity can be attributed to radioactive decay in the
aquifer. There are multiple processes that can impact the <inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C
properties, including groundwater mixing and dispersion, long-term variation
in atmospheric <inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C, and free <inline-formula><mml:math id="M98" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C dilution (e.g., carbonate
dissolution) (Cartwright et al., 2020). Because the relative impacts of these
processes are not well established in the study area, the
uncertainty regarding the correction of radiocarbon ages to real groundwater
ages is very high. Consequently, we estimate the groundwater age as a
residence time range. The uncorrected age is considered the maximum age, while
the corrected age is considered the minimum age. Corrected ages are determined based on two
hypothetical models of carbonate dissolution, which is the main influence on the <inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C
contents of water samples (Lee et al., 2016).</p>
      <p id="d1e1293">Figure 5 shows that the <inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activities in the shallow groundwater samples are within
30.6–105.9 pMC. These values indicate a relatively modern recharge before the
atmospheric nuclear testing period of the 1950s and 1960s. The radiocarbon
activities in the deep fresh groundwater samples are less than 12 pMC, which is
consistent with the paleo-water recharge. This indicates that there are
weak connections between the shallow and deep aquifers. Therefore, we assume that
the shallow aquifer is an open system and the deep aquifer is a closed
system. The <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C mixing and chemical mass balance (CMB) models
are used to estimate the corrective factor <inline-formula><mml:math id="M102" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> (Clark and Fritz,
1997).</p>
      <p id="d1e1323">For the <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C mixing model (Pearson and Hanshaw, 1970), <inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">DIC</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">CARB</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mo>(</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">RECH</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:mi mathvariant="italic">δ</mml:mi><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">CARB</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, where
<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M106" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">DIC</mml:mi></mml:msub></mml:math></inline-formula> is the measured <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of DIC in
groundwater; <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M109" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">CARB</mml:mi></mml:msub></mml:math></inline-formula> is the <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C of DIC from
dissolved soil minerals (<inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">CARB</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 1.5 ‰ from Chen et al., 2003); and <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RECH</mml:mi></mml:msub></mml:math></inline-formula> is the
<inline-formula><mml:math id="M115" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C in water when it reaches the saturation zone. In this
study, we use a <inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M117" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RECH</mml:mi></mml:msub></mml:math></inline-formula> of <inline-formula><mml:math id="M118" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>15 ‰,
which has been suggested as appropriate for soils
dominated by C<inline-formula><mml:math id="M119" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula> plants in northern China (Currell et al., 2010). This model yields some
relatively low <inline-formula><mml:math id="M120" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> values (0.59 for G06-15 and 0.65 for G08-15), possibly because
several unaccounted-for factors contribute to variable <inline-formula><mml:math id="M121" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>C<inline-formula><mml:math id="M122" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">RECH</mml:mi></mml:msub></mml:math></inline-formula> values, e.g., local methanogenesis and pH or
temperatures in the soil zones.</p>
      <p id="d1e1588">For the CMB model, <inline-formula><mml:math id="M123" display="inline"><mml:mrow><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">mDIC</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">rech</mml:mi></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">mDIC</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">final</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula>, where
mDIC<inline-formula><mml:math id="M124" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rech</mml:mi></mml:msub></mml:math></inline-formula> is the DIC molar concentration in the recharge water and
mDIC<inline-formula><mml:math id="M125" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">final</mml:mi></mml:msub></mml:math></inline-formula> is the DIC molar concentration in the final groundwater.
mDIC<inline-formula><mml:math id="M126" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">final</mml:mi></mml:msub></mml:math></inline-formula> was calculated using <inline-formula><mml:math id="M127" display="inline"><mml:mrow><mml:msub><mml:mrow class="chem"><mml:mi mathvariant="normal">mDIC</mml:mi></mml:mrow><mml:mrow class="chem"><mml:mi mathvariant="normal">final</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi mathvariant="normal">mDIC</mml:mi><mml:mrow class="chem"><mml:mi mathvariant="normal">rech</mml:mi></mml:mrow></mml:msub><mml:mo>+</mml:mo><mml:mo>[</mml:mo><mml:mi mathvariant="normal">mCa</mml:mi><mml:mo>+</mml:mo><mml:msub><mml:mtext>Mg-SO</mml:mtext><mml:mn mathvariant="normal">4</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn mathvariant="normal">0.5</mml:mn><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Na</mml:mi><mml:mo>+</mml:mo><mml:mtext>K-Cl</mml:mtext><mml:mo>)</mml:mo><mml:mo>]</mml:mo></mml:mrow></mml:math></inline-formula> (Fontes and Garnier, 1979). DIC<inline-formula><mml:math id="M128" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rech</mml:mi></mml:msub></mml:math></inline-formula> was mainly
HCO<inline-formula><mml:math id="M129" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:math></inline-formula> in the recharge water when pH values were between 6.4 and 10.3,
and the carbonate equilibrium constant varied with temperature (Clark and
Fritz, 1997). mDIC<inline-formula><mml:math id="M130" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">rech</mml:mi></mml:msub></mml:math></inline-formula> was calculated from the estimated pH and temperature
conditions in the recharge environment; e.g., at pH <inline-formula><mml:math id="M131" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 6 and <inline-formula><mml:math id="M132" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M133" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 15 <inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C, mDIC<inline-formula><mml:math id="M135" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">rech</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> 10 mmol L<inline-formula><mml:math id="M136" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (Currell et al., 2010).</p>
      <p id="d1e1779">The corrected radiocarbon ages are shown in Table S2. The residence time of
deep groundwater ranges from 15 959 to 39 050 a BP, which is significantly
longer than that of the groundwater in the shallow aquifer (9510 a BP to
modern). Moreover, most brackish and fresh groundwater ages are modern,
while brine has a longer residence period (5590–1245 a BP) and a broad range of residence times.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e1784"><inline-formula><mml:math id="M137" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C activity with sampling depth in groundwater.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f05.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Discussion</title>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Isotopic analysis of groundwater origin and recharge</title>
      <p id="d1e1818">Deuterium and oxygen-18 are good tracers of groundwater origin and climatic
conditions during recharge periods (Clark and Fritz, 1997). When combined
with groundwater residence times, they can also identify modern recharge and
paleo-recharge (Han et al., 2014).</p>
      <p id="d1e1821">The depletion of <inline-formula><mml:math id="M138" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O and <inline-formula><mml:math id="M139" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H values in the deep fresh groundwater
(Fig. 4) can be attributed to a cold climate (Kreuzer et al., 2009) and the
residence times (33 951–39 050 a BP) of the P15-150 and P14-300 samples, which may suggest that there was a recharge during the last glacial
maximum. The stable isotopes in P16-100 are heavier, reflecting a
recharge history linked to the warm climate in the previous deglaciation (Hendry and
Wassenaar, 2000). The stable isotope values of river samples are similar to
those of the shallow brackish and fresh groundwater samples, which are
approximately modern, indicating lateral recharge of surface water
locally. Meanwhile, in Fig. 4, G03-5 is close to the rainfall sample,
indicating that modern precipitation is a new recharge source. The trend
towards <inline-formula><mml:math id="M140" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>H and <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O enrichment in brine and
saline groundwater can be attributed to seawater infiltration during the
Holocene transgression period, which has been confirmed by other studies of the
Bohai Sea coast (Li et al., 2017; Du et al., 2016). Additionally, due to the
mixing of meteoric water and the subsequent nonequilibrium fractionation of
hydrogen isotopes during evaporation (Clark and Fritz, 1997), the CSW sample
is characterized by <inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O enrichment but <inline-formula><mml:math id="M143" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H
depletion compared to seawater.</p>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Hydrochemical analysis of sources of salinity</title>
      <p id="d1e1891">To distinguish the sources of groundwater salinity, the PHREEQC code
(Parkhurst and Appelo, 2013) was used to measure and plot the theoretical
seawater–freshwater mixing line (“mixing line”) and seawater evaporation
line (“evaporation line”) using hydrogeochemical modeling. The two simulation effects serve as references for groundwater hydrochemical characteristics (Figs. 6 and 7). For the Na-Cl (Fig. 6a), Mg-Cl (Fig. 6b), and
Br-Cl (Fig. 7a) diagrams, the measured brackish, saline, and brine
groundwater samples fit quite well to modeling mixing lines, and evaporation
lines follow a linear trend from the least to the most saline. This
strongly demonstrates that the salt in these water samples is mainly of
marine origin. The major ion concentrations in some samples (such as brine)
are higher than those in seawater, suggesting that the enriched ions are
associated with evaporation processes rather than seawater intrusion
(Colombani et al, 2017).</p>
      <p id="d1e1894">Moreover, the samples deviate from the modeling lines (Fig. 6c and d),
indicating that there may be other hydrogeochemical processes that are responsible
for the modified ionic compositions (Giambastiani et al., 2013). (1) Ca<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> depletion is seen for the P18 and P12 samples in Fig. 6d. This
phenomenon is likely explained by gypsum (CaSO<inline-formula><mml:math id="M145" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>) precipitation. The
evaporation line reveals that the Ca<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> composition of evaporating
seawater follows a hooked trajectory (Fig. 6d). During evaporation to the
point of gypsum saturation, the Ca<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> concentration of the residual CSW progressively decreases. (2) Ca<inline-formula><mml:math id="M148" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math></inline-formula> and SO<inline-formula><mml:math id="M149" display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math></inline-formula> are present in excess in most of the
fresh and brackish samples (Fig. 6c and d), which can be attributed to mineral
dissolution along with stream water recharging (such as gypsum dissolution),
highlighting the occurrence of some degree of dilution with continental runoff since the Holocene
regression. (3) Decomposition of the organic matter abundant in marine or
lagoon facies sediments can result in the release of bromide ions, thus
pushing the Br <inline-formula><mml:math id="M150" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Cl ratios of saline groundwater samples higher than the mixing
line (Fig. 7b).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1979">Hydrochemical relationships between Cl and major ions of the measured
samples and simulated results in groundwater. Seawater–freshwater mixing line: theoretical
mixing between seawater and deep fresh groundwater. Blue numbers:
mixing ratios of seawater. Seawater evaporation line: theoretical
evaporation of Bohai seawater. Red numbers: evaporation
rates. G: precipitation of gypsum. H: precipitation of halite. Dissolution: possible gypsum
dissolution along with river water recharging. The symbols used for the samples are the
same as in Fig. 6.</p></caption>
          <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f06.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e1991">Relationship between the chloride and bromide contents in water samples.
Symbols used are the same as in Fig. 6.</p></caption>
          <?xmltex \igopts{width=455.244094pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f07.png"/>

        </fig>

</sec>
<sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Mixing processes</title>
      <p id="d1e2008">Figure 8 depicts the relationship between <inline-formula><mml:math id="M151" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O and Cl<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> in
different water samples. There are higher Cl<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations and lower
<inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O values in brine samples than in seawater, meaning that
simple two-end-member mixing cannot adequately explain the groundwater
salinization. Stable isotopes of high-TDS saline and brine samples fall
between the seawater and CWS mixing lines, suggesting a potential for three-end-member mixing processes (Douglas et al., 2000). Therefore, we considered
SW01 (seawater) and P18 (mostly saline, but with relatively depleted stable
isotopes) as two saline end-members. P16-100, which was most likely
recharged during the last deglaciation, was chosen to represent fresh
end-members that could have been impacted by overlying seawater or CSW
during the Holocene transgression. In Fig. 8, an inferred salinization zone is
established that includes almost all saline and brine groundwater samples,
demonstrating the salinization processes in which fresh groundwater mixed
with either seawater, CSW, or a mixture of both.</p>
      <p id="d1e2051">The fresh and brackish groundwater samples, on the other hand, have low
Cl<inline-formula><mml:math id="M155" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> concentrations and less <inline-formula><mml:math id="M156" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O, so they deviate from the assumed
salinization zone and approach the river samples in Fig. 8, implying a
river water–groundwater mixing trend. LH02 (with low <inline-formula><mml:math id="M157" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O)
and SH02 (with high <inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O) were selected to represent
river water end-members for different river recharge of groundwater in the study
area, while G09-15 (saline but with river-like stable isotope levels) was
considered as a groundwater end-member. It is presumed that a freshening zone
could form between the two river water-groundwater mixing lines, indicating
the occurrence of freshening processes, which would be in agreement with
the continental runoff dilution discussed in Sect. 5.2.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2096">Plot showing the relationship between Cl<inline-formula><mml:math id="M159" display="inline"><mml:msup><mml:mi/><mml:mo>-</mml:mo></mml:msup></mml:math></inline-formula> and <inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">δ</mml:mi><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula>O in different water
samples as a means to probe various mixing processes in the Luanhe River delta. The
symbols are the same as used in Fig. 6. The green area is the assumed freshening zone, and
the purple area is the assumed salinization zone.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f08.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S6">
  <label>6</label><title>Interpretation of paleo-environmental development</title>
      <p id="d1e2134">Based on an analysis of a range of evidence related to Quaternary geographic
evolution, it is possible to understand the changes in hydrogeological
conditions in the past (van Engelen et al., 2018). Other authors (Wang et al., 1981;
Peng et al., 1981; Li et al., 1982, 1983; Xu et al., 2018) found that the Pleistocene
transgression events – related to marine isotope stage (MIS) 3 and 5 – reached the study area once,
which would have resulted in groundwater salinization. Since the last
deglaciation (about 15 ka BP), the paleo-coastline has dropped to a depth of approximately 100 m below the present sea level along the shelf edge (Li et al., 2014).
Stronger river downcutting and flushing in the study region would have promoted a large fresh recharge of groundwater. For example, P16-100 (freshwater) was sampled from a relatively deep position (100 m below the surface) and has
an estimated groundwater age of between 15 959 to 17 490 a BP, which likely
provides evidence that the salinization groundwater related to MIS 5
and/or 3 marine transgression could have been flushed out until the latest  Late
Pleistocene. Accordingly, we believe that the observed saline groundwater in
the Luanhe River delta is probably related to the subsequent Holocene marine
transgression. This research illuminates the evolutionary pattern of saline
groundwater, as shown in Table 1 and Fig. 9, where three phases are synthesized and
reconstructed.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e2140">Saline groundwater evolution processes in the study area.</p></caption>
  <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-t01.png"/>
</table-wrap>

      <p id="d1e2148">The global sea level was affected by deglaciation of the ice sheet (Fairbanks,
1989), causing the sea level to rise rapidly during the deglaciation period
(15.4–7 ka BP) (Li et al., 2014). The Holocene
transgression stage, which occurred between 9 and 7 ka BP, resulted in the
study area being inundated by seawater (Xu et al., 2015; Xue, 2009, 2014)
(Fig. 9a). On the one hand, there would have been a tendency for the denser
seawater to infiltrate through the aeration zone (Santucci et al., 2016); on
the other hand, the sea-level rise would have caused the seawater–freshwater interface
to move landward (Ferguson and Gleeson, 2012), both of which contributed to
paleo-seawater intrusion. G08-40 contains 27.173 g L<inline-formula><mml:math id="M161" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> of TDS, which is
similar to that of SW01. Simultaneously, the residence time (9810–6884 a BP) indicates the existence of paleo-seawater trapped by low-permeability aquitard
sediments, which may be another critical salinity source for
neighboring aquifers in the coastal zone (Post and Kooi, 2003; Lee et al.,
2016).</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2166">Diagram of paleo-environmental development during the Holocene and
evolutionary pattern of saline groundwater.</p></caption>
        <?xmltex \igopts{width=312.980315pt}?><graphic xlink:href="https://hess.copernicus.org/articles/26/1341/2022/hess-26-1341-2022-f09.png"/>

      </fig>

      <p id="d1e2175">The presence of paleo-seawater intrusion during the Quaternary has been
recorded in other coastal regions worldwide (Groen et al., 2000; Bouchaou et
al., 2009; Wang and Jiao, 2012; Delsman et al., 2014; Tran et al., 2020; Han
et al., 2020). According to the works described above, the salinity of the groundwater
after salinization could not exceed that of seawater due to paleo-seawater
intrusion.</p>
      <p id="d1e2178">Other salinization processes that occurred during paleo-environmental
growth are likely to be correlated with this brine groundwater.</p>
<sec id="Ch1.S6.SS1">
  <label>6.1</label><?xmltex \opttitle{Phase 2: highstand system tract--old Luanhe River delta development (7--3.5\,ka\,BP)}?><title>Phase 2: highstand system tract–old Luanhe River delta development (7–3.5 ka BP)</title>
      <p id="d1e2189">The good fit between the measured hydrochemistry and simulated evaporation
lines (Figs. 6 and 7) is an indicator that the brine samples were associated
with the seawater that was exposed to evaporation during geological
history. Previous research has revealed that the lagoon was active during the
progradation of the old Luanhe River delta between 7 and 3.5 ka BP (He et
al., 2020; Xu et al., 2020). Meanwhile, the region has had a relatively arid climate since 5500 a BP, which may have led to increased evaporation (Jin,
1984). The ancient lagoon would have been an ideal location for evaporating
seawater that had been trapped due to storms or tides (Fig. 9b). As a
result, concentrated saline water (CSW) with a salinity greater than that of seawater
would have been created, and the CSW would have undergone two processes: (1) it would have infiltrated and descended to the lower part of the aquifer due to its
higher density, before combining with the salinized groundwater from phase 1,
resulting in a three-end-member mixing scenario in the relationship diagram
(Fig. 8); (2) after reaching saturation during the later stages of
evaporation, precipitation of minerals such as gypsum, calcite, and halite
would have occurred, which would have been redissolved by meteoric waters
or seawater, resulting in high-salinity water which would then have been subjected
to the above process. The Br <inline-formula><mml:math id="M162" display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> Cl ratios in certain fresh or brine groundwater
samples deviate from the evaporation line (Fig. 7b), which may be related to
halite precipitation and redissolution. These two processes caused the
groundwater salinity to rise even further, resulting in the formation of
brine groundwater with 3 times the TDS of seawater, such as G03-20, with a
residence time range of 4323–5590 a BP.</p>
</sec>
<sec id="Ch1.S6.SS2">
  <label>6.2</label><?xmltex \opttitle{Phase 3: new Luanhe River delta development (3.5\,ka\,BP to present)}?><title>Phase 3: new Luanhe River delta development (3.5 ka BP to present)</title>
      <p id="d1e2208">Since about 3500 a BP, a nearly 90<inline-formula><mml:math id="M163" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> diversion of the Luanhe River
channel in the study area has resulted in new delta development (Wang et al.,
2007; Xue, 2016). There are some signs of a lagoon environment in the new
Luanhe River delta (Cheng et al., 2020), and, as previously discussed, the
brine groundwater sample G10-30 can be attributed to evaporation in a
lagoon setting (Fig. 9c). However, some factors are likely to limit CSW
formation in the study area: (1) the relatively low evaporation capacity due
to the semi-humid climate since about 2.5 ka BP (Jin, 1984), (2) diluvial
deposits or artificial reclamation would have filled the coastal lowlands such
as lagoons, and (3) offshore levees prevent the seawater from flooding
inland during storms or tides. Unlike the old Luanhe River delta, these
factors may also explain why the current Luanhe River delta does not have
high-TDS brine groundwater.</p>
      <p id="d1e2220">In addition, the brackish and low-TDS saline groundwater with a relatively
modern age (e.g., G09-15) and the river-like stable isotope levels (Figs. 4 and 8) are
compelling evidence that freshening processes have occurred in the delta
plain. With the semi-humid paleoclimate, some abandoned channels have
developed into small rivers such as the Suhe River and Shahe River following the diversion of the ancient Luanhe River
(Gao, 1981). Firstly, the lateral
recharge from the surface stream plays a role in washing out the salty
groundwater. Secondly, due to the unsuitability of saline groundwater
throughout human history, river irrigation has been commonly used for
agricultural activities in the study region, which has freshened the upper saline
aquifer (Fig. 9c). Some groundwater samples found above the seawater mixing
line in the Ca-Cl and SO<inline-formula><mml:math id="M164" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:math></inline-formula>-Cl relationship diagrams (Fig. 6c, d) may be
related to mineral dissolution during river water or irrigation recharge.
However, saline groundwater can be washed out over time in coastal zones
with low-permeability marine layers and a low hydraulic gradient (van Engelen
et al., 2019; Han et al., 2020).</p>
      <p id="d1e2232">In summary, the evolution of saline groundwater in the study area results
from paleo-environment development such as sea-level changes,
paleogeography, and paleoclimate, and is significantly affected by human
activities. The coastal brine groundwater found on the Bohai Sea coast, such as Bohai Bay (Li et
al., 2017) and Laizhou Bay (Han et al., 2014), is a special product of geological
evolution. The change in sea level during
the Late Pleistocene would have favored marine intrusion and a similar
sedimentary environment on the Bohai coast, allowing this study to infer the
following conditions for brine formation in this region: (1) stable evaporative
environments (e.g., a lagoon), (2) suitable climatic conditions (e.g., aridity),
(3) entry of seawater into evaporative environments (e.g., via storms or tides), and (4) a long time period for salinity accumulation.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S7" sec-type="conclusions">
  <label>7</label><title>Conclusions</title>
      <p id="d1e2245">In this study, we used a range of isotopic–geochemical methods to analyze
the groundwater recharge and salinity sources in the Luanhe River delta. The
isotopic results (<inline-formula><mml:math id="M165" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>H, <inline-formula><mml:math id="M166" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O, <inline-formula><mml:math id="M167" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>C) show that deep confined
groundwater was recharged during the Late Pleistocene cold period, shallow
saline and brine groundwater was recharged during the warm Holocene period,
and shallow brackish and fresh groundwater was mainly recharged by surface
water. The hydrogeochemical modeling (PHREEQC) results show that seawater
or evaporated seawater is the primary source of the salt in salinized groundwater.
Variation among multiple water samples in the <inline-formula><mml:math id="M168" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">18</mml:mn></mml:msup></mml:math></inline-formula>O–Cl relationship
further indicates multiple-end-member mixing, which is useful for assessing the
salinization and/or freshening processes in the aquifers. Our study shows that
multiple water types are particularly associated with complex geographic
evolution in coastal areas. Rising sea levels
caused lowland coastal areas to be inundated by seawater, inducing
paleo-seawater intrusion. Coastal deltas developed after a significant
drop in sea levels. The concentration of saline water in the lagoon
environment at the front of the delta continuously added salinity to the
groundwater. Thus, brine groundwater was formed under the effects of
evaporation, mixing, and dissolution. In contrast, the lateral recharge by
surface water and irrigation return would have caused the slow washing out of salinized
groundwater in the delta plain.</p>
      <p id="d1e2284">Given that most coastal zones around the world have experienced
transgression/regression events in the Quaternary Period, this work's
findings will promote a better understanding of the origin of salinization
in coastal aquifers. In addition, it is important to recognize the potential
for connate saline groundwater previously preserved in adjunct aquifers
to leak due to the overextraction of deep groundwater. To
effectively prevent pollution from saline groundwater movement, this study
recommends extensive characterization of the groundwater interface dynamics,
such as the fresh/saline, fresh/brine, and brine/seawater interfaces, and that continuous monitoring of water quality and levels across the
aquifers should be maintained.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e2291">The data used in this paper are available in the Supplement.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e2294">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/hess-26-1341-2022-supplement" xlink:title="pdf">https://doi.org/10.5194/hess-26-1341-2022-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e2303">XD and MG carried out the study and wrote the manuscript with support from ZW. MG and GH helped supervise the project. QS and GH helped collect the data. ZW, DA, and HJ helped improve the English language of the manuscript. All co-authors contributed to reviewing and editing the manuscript.</p>
  </notes><?xmltex \hack{\newpage}?><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e2310">The contact author has declared that neither they nor their co-authors have any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e2317">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e2323">This study was financially supported by the National Natural Science
Foundation of China (U2106203, 41977173), National Geological Survey Project
of China Geology Survey (no. DD20211401).  The authors would like to
thank Sen Liu, Chenxin Feng, Chen Sheng, Xueyong Huang, and Haihai Zhuang
for their help and support in collecting the field data and conducting the
geological survey.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e2328">This research has been supported by the National Natural Science Foundation of China (grant nos. 41977173 and U2106203) and the   National Geological Survey Project of China Geology
Survey (no. DD20211401).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e2334">This paper was edited by Nadia Ursino and reviewed by three anonymous referees.</p>
  </notes><ref-list>
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