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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.2025.1598417</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>Deepening and narrowing impacts on circulation, stratification, and sediment transport in the Changjiang Estuary</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Lin</surname>
<given-names>Jianliang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3012957/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van Prooijen</surname>
<given-names>Bram C.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1259876/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhu</surname>
<given-names>Chunyan</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2691071/overview"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Guo</surname>
<given-names>Leicheng</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1889605/overview"/>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>He</surname>
<given-names>Qing</given-names>
</name>
<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">
<name>
<surname>Wang</surname>
<given-names>Zheng Bing</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1143663/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Yang</surname>
<given-names>Qingshu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Institute of Estuarine and Coastal Research/State and Local Joint Engineering Laboratory of Estuarine Hydraulic Technology, School of Marine Engineering and Technology, Sun Yat-Sen University</institution>, <addr-line>Zhuhai</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Faculty of Civil Engineering and Geosciences, Delft University of Technology</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>State Key Laboratory of Estuarine and Coastal Research, East China Normal University</institution>, <addr-line>Shanghai</addr-line>, <country>China</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Deltares</institution>, <addr-line>Delft</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Li Li, Zhejiang University, China</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Zhiyuan Wu, Changsha University of Science and Technology, China</p>
<p>Xingmin Liu, Shandong University, China</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Qing He, <email xlink:href="mailto:qinghe@sklec.ecnu.edu.cn">qinghe@sklec.ecnu.edu.cn</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>06</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1598417</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>03</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>05</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Lin, van Prooijen, Zhu, Guo, He, Wang and Yang</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lin, van Prooijen, Zhu, Guo, He, Wang and Yang</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>Channel deepening and narrowing are common anthropogenic modifications in estuaries, but their combined effects on estuarine circulation, stratification, and sediment transport remain insufficiently understood. This study investigates these combined impacts in the North Passage of the Changjiang Estuary, where large-scale deepening and narrowing have significantly altered hydrodynamic and sediment processes. Our analysis demonstrates that channel deepening intensifies estuarine circulation by strengthening the landward near-bed flow, thereby enhancing sediment import. Contrary to initial expectations that narrowing would promote sediment flushing, our results indicate that narrowing increases stratification, steepens along-estuary salinity gradients, and suppresses vertical mixing. Intensified stratification further reinforces estuarine circulation, promoting sediment trapping at the saltwater intrusion limit. Additionally, enhanced tidal pumping driven by increased velocity and suspended sediment concentration gradients extends the estuarine turbidity maximum both upstream and downstream, a process often overlooked in engineered estuaries. These findings challenge conventional assumptions regarding the sedimentary impacts of narrowing, emphasizing instead its critical role in amplifying estuarine circulation and sediment trapping. Our results provide new insights into sediment dynamics in river-dominated estuaries, with significant implications for estuarine management, dredging operations, water quality control, and long-term morphological stability.</p>
</abstract>
<kwd-group>
<kwd>estuarine circulation</kwd>
<kwd>tidal pumping</kwd>
<kwd>density stratification</kwd>
<kwd>estuarine turbidity maximum</kwd>
<kwd>Changjiang Estuary</kwd>
</kwd-group>
<contract-num rid="cn001">42406159</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<counts>
<fig-count count="13"/>
<table-count count="1"/>
<equation-count count="12"/>
<ref-count count="100"/>
<page-count count="22"/>
<word-count count="9399"/>
</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" sec-type="intro">
<label>1</label>
<title>Introduction</title>
<p>Estuaries, critical transition zones between rivers and oceans, face unprecedented pressures due to human activities aimed at enhancing navigation, flood protection, and land reclamation. Over the past century, large-scale engineering interventions (e.g., channel deepening, narrowing, and diking) have profoundly reshaped estuarine hydrodynamics, sediment transport, and ecological functions (<xref ref-type="bibr" rid="B79">Winterwerp et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B64">Talke and Jay, 2020</xref>; <xref ref-type="bibr" rid="B30">Guo et&#xa0;al., 2021a</xref>; <xref ref-type="bibr" rid="B89">Zhang et&#xa0;al., 2022b</xref>, <xref ref-type="bibr" rid="B86">2023</xref>). These modifications often trigger unintended consequences, such as tidal amplification, enhanced stratification, and increased sediment trapping, leading to regime shifts to hyper-turbidity and hypoxia, and thereby degrading water quality and habitat integrity (<xref ref-type="bibr" rid="B63">Talke et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B78">Winterwerp and Wang, 2013</xref>; <xref ref-type="bibr" rid="B74">Wang et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B23">Grasso and Le Hir, 2019</xref>; <xref ref-type="bibr" rid="B58">Schmidt et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B13">Dijkstra and de Goede, 2024</xref>).</p>
<p>Geomorphological evolution plays a critical role in estuarine hydrodynamics and sediment dynamics. Previous studies have shown that morphological changes, including channel migration, delta erosion, and sedimentation, significantly affect estuarine circulation patterns, sediment transport mechanisms, and ecosystem stability. For example, in the Changjiang Estuary, dam-induced reductions in sediment supply have led to delta erosion and significant geomorphic adjustments, altering tidal currents, estuarine circulation, and sediment transport pathways (<xref ref-type="bibr" rid="B84">Yang et&#xa0;al., 2011</xref>; <xref ref-type="bibr" rid="B8">Dai et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B45">Luan et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B46">2021</xref>; <xref ref-type="bibr" rid="B30">Guo et&#xa0;al., 2021a</xref>). Similar phenomena have been observed in global estuaries such as the Mississippi Delta, where human interventions and sediment supply reductions substantially influenced hydrodynamic conditions and sedimentary dynamics (<xref ref-type="bibr" rid="B1">Blum and Roberts, 2009</xref>; <xref ref-type="bibr" rid="B9">Day et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B89">Zhang et&#xa0;al., 2022b</xref>). Understanding these geomorphological impacts is essential for accurately predicting estuarine responses to anthropogenic changes and developing sustainable management strategies.</p>
<p>Extensive research has explored the impacts of channel deepening in tide-dominated estuaries, such as the Ems, Seine, and Loire, revealing significant feedback loops between tidal amplification, sediment import via tidal pumping, and sediment-induced drag reduction (<xref ref-type="bibr" rid="B79">Winterwerp et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B11">de Jonge et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B68">van Maren et&#xa0;al., 2015a</xref>, <xref ref-type="bibr" rid="B69">b</xref>; <xref ref-type="bibr" rid="B15">Dijkstra et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B22">Grasso and Caillaud, 2023</xref>; <xref ref-type="bibr" rid="B13">Dijkstra and de Goede, 2024</xref>). However, river-dominated estuaries, where freshwater discharge exerts primary hydrodynamic control, remain poorly understood despite their ecological and economic significance. This knowledge gap hinders predictive modeling and effective adaptive management, particularly in Asia mega-deltas experiencing rapid economic growth and intensified estuarine interventions (<xref ref-type="bibr" rid="B30">Guo et&#xa0;al., 2021a</xref>; <xref ref-type="bibr" rid="B7">Chu et&#xa0;al., 2022</xref>; <xref ref-type="bibr" rid="B66">van Maren et&#xa0;al., 2023</xref>).</p>
<p>In tide-dominated estuaries, channel deepening often triggers regime shifts to hyper-turbid conditions due to tidal pumping-driven sediment import. For instance, the Ems Estuary experienced a 10-fold increase in suspended sediment concentration (SSC) following dredging, driven by a positive feedback loop between tidal asymmetry, sediment import, and sediment-induced drag reduction (<xref ref-type="bibr" rid="B78">Winterwerp and Wang, 2013</xref>; <xref ref-type="bibr" rid="B68">van Maren et&#xa0;al., 2015a</xref>, <xref ref-type="bibr" rid="B69">b</xref>, <xref ref-type="bibr" rid="B14">Dijkstra et&#xa0;al., 2019a</xref>, <xref ref-type="bibr" rid="B15">b</xref>). However, such mechanisms may differ significantly in river-dominated estuaries like the Changjiang (Yangtze) Estuary, where river discharge (~28,500 m&#xb3;/s) overwhelms tidal forcing, with a Canter-Cremers number <italic>N</italic> = <italic>QT</italic>/<italic>P</italic> &#x2248; 0.5, where <italic>Q</italic> is river discharge, <italic>T</italic> is tidal period, and <italic>P</italic> is tidal prism (<xref ref-type="bibr" rid="B87">Zhang et&#xa0;al., 2016</xref>). Here, estuarine circulation (i.e., the gravitational exchange between seaward freshwater flow and landward saline flow) is typically the main sediment transport driver (<xref ref-type="bibr" rid="B59">Shi, 2004</xref>; <xref ref-type="bibr" rid="B43">Liu et&#xa0;al., 2011b</xref>; <xref ref-type="bibr" rid="B33">Jiang et&#xa0;al., 2013a</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2016</xref>). The Deep Waterway Project (DWP) in the Changjiang Estuary, initiated in 1998 to deepen and narrow the North Passage, provides a unique opportunity to study the impact of anthropogenic modifications on stratification and sediment dynamics in such river-dominated systems.</p>
<p>Post-DWP, the North Passage experienced a regime shift from low-turbid to hyper-turbid conditions, with near-bed SSC increasing to 80 kg/m&#xb3;, approximately twenty times pre-DWP levels, despite a 70% decline in fluvial sediment supply due to upstream dam construction (<xref ref-type="bibr" rid="B71">Wan and Zhao, 2017</xref>; <xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B26">Guo et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>). However, the evolution of estuarine turbidity maximum (ETM) remains debated. Model results from <xref ref-type="bibr" rid="B61">Song and Wang (2013)</xref> indicate a seaward ETM shift due to increased flows, whereas observations by <xref ref-type="bibr" rid="B34">Jiang et&#xa0;al. (2013b)</xref> suggest a landward shift and along-estuary extension of ETM post-DWP. Conventional tidal pumping-driven sediment trapping models cannot fully explain this anomaly. Recent evidence points to enhanced estuarine circulation and stratification driven by channel narrowing and deepening as potentially significant drivers of sediment import, independent of tidal mechanisms. After the DWP, intensified estuarine circulation and siltation near the saltwater intrusion limit were observed (<xref ref-type="bibr" rid="B72">Wang et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B42">Liu et&#xa0;al., 2011a</xref>, <xref ref-type="bibr" rid="B43">2011b</xref>, <xref ref-type="bibr" rid="B40">2019</xref>; <xref ref-type="bibr" rid="B61">Song and Wang, 2013</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B71">Wan and Zhao, 2017</xref>). Yet, the exact roles of estuarine circulation, tidal pumping, and sediment-induced stratification remain unclear.</p>
<p>Furthermore, recent studies highlight the role of concentrated benthic suspensions in enhancing stratification (<xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B36">Li et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>), but the interplay between channel geometry (e.g., depth, width) and these processes needs further investigation. Previous research identified a mud bank in the delta front as a sediment source potentially supporting elevated SSC in the North Passage (<xref ref-type="bibr" rid="B43">Liu et&#xa0;al., 2011b</xref>; <xref ref-type="bibr" rid="B37">Li et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B88">Zhang et&#xa0;al., 2022a</xref>; <xref ref-type="bibr" rid="B99">Zhu et&#xa0;al., 2025</xref>). However, the mechanism underlying the sediment import remains uncertain.</p>
<p>This study addresses these gaps by analyzing field measurements collected before and after the DWP in the Changjiang Estuary. We aim to quantify how deepening and narrowing alter estuarine circulation and stratification, identify the dominant sediment import mechanism (estuarine circulation vs. tidal pumping), and characterize the feedback between sediment-induced stratification and turbulence damping. Three specific hypotheses guide our analysis: (1) Channel narrowing enhances estuarine circulation by increasing along-channel salinity gradients and reducing eddy viscosity, contrary to conventional steady-state predictions; (2) Sediment-induced stratification dominates post-DWP conditions, creating a positive feedback loop that suppresses turbulence and promotes near-bed sediment trapping; (3) Tidal pumping redistributes sediment but does not drive net import in this river-dominated system, distinguishing it from tide-dominated estuaries.</p>
<p>Our findings reveal that the DWP triggered a regime shift toward hyper-turbid conditions, with stratification and sediment import mechanisms distinctively different from those in tide-dominated estuaries. These results challenge the prevailing assumption that narrowing estuaries universally enhances sediment export, offering critical insights into managing sedimentation, hypoxia, and navigation in river-dominated estuaries worldwide. By integrating hydrodynamic theory and observations, this study advances predictive models of estuarine response to human interventions, emphasizing the importance of geometry-specific management strategies.</p>
<p>Following this introduction, Section 2 describes the study area and DWP interventions. Section 3 outlines field measurements, sediment flux decomposition methods, and stratification analysis techniques. Section 4 presents empirical results, including changes in estuarine topography, circulation, and sediment transport. Section 5 discusses mechanistic insights, compares findings with tide-dominated estuaries, and explores implications for estuarine management. Finally, section 6 summarizes key findings and provides policy recommendations for estuary management under intensive engineering interventions.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>The Changjiang Estuary and Deep Waterway Project</title>
<p>The Changjiang (Yangtze) River, Asia&#x2019;s largest river by discharge, delivers approximately 9&#xd7;10&#xb3; km&#xb3; of freshwater annually to the East China Sea, alongside historically significant sediment loads (<xref ref-type="bibr" rid="B50">Ministry of Water Resources the People&#x2019;s Republic of China, 2024</xref>). However, basin-scale anthropogenic interventions, including dam constructions (e.g., the Three Gorges Dam) and soil conservation measures, have reduced riverine sediment supply by 70% since the 1980s, from 470 Mt/yr (1953~1985) to 132 Mt/yr (2003~2015) (<xref ref-type="bibr" rid="B26">Guo et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B52">Peng et&#xa0;al., 2020</xref>; <xref ref-type="bibr" rid="B81">Wu et&#xa0;al., 2020</xref>). The Changjiang Estuary, characterized by a multi-channel system with four outlets (i.e., North Branch, North Channel, North Passage, and South Passage; <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), has evolved under complex interactions between river discharge, tidal forcing, and human interventions. The estuary is within the meso-tidal regime, with a mean tidal range of 2.7 m and a maximum of 5.0 m at Niupijiao (<xref ref-type="bibr" rid="B28">Guo et&#xa0;al., 2015</xref>). This dynamic environment supports one of the world&#x2019;s most pronounced ETMs, where SSC exceeds 60 kg/m&#xb3; (<xref ref-type="bibr" rid="B71">Wan and Zhao, 2017</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>).</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>The Changjiang Estuary and its bathymetry changes between 1997 (pre-DWP) and 2013 (post-DWP). DWP: Deep Waterway Project. <bold>(a)</bold> The location of the Changjiang Estuary in the Changjiang River Basin, China. <bold>(b)</bold> Map of the Changjiang Estuary. The bathymetry of the North Passage in 1997 <bold>(c)</bold> and 2013 <bold>(d)</bold>. Elevation is referenced to the Theoretical Depth Datum. The black lines indicate the Deepwater Navigational Channel, while white dots represent observation stations. The triangle marks the tide gauging station at Niupijiao. Along-estuary transects (white dashed lines) and cross-estuary transects (black dotted lines) are illustrated in panels <bold>(e, f)</bold>, respectively. Positive x is oriented seaward along the channel, and positive y extends across the channel to the northeast.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g001.tif"/>
</fig>
<p>To accommodate growing maritime trade, the DWP was initiated in 1998 to transform the North Passage into a 12.5-m-deep navigational channel. Executed in three phases (8.5 m by 2002, 10.0 m by 2005, and 12.5 m by 2010), the DWP involved constructing two 50-km training dikes, 19 transverse groins, and continuous maintenance dredging. These interventions enhanced saltwater intrusion and stratification, leading to ETM evolution (<xref ref-type="bibr" rid="B72">Wang et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B34">Jiang et&#xa0;al., 2013b</xref>; <xref ref-type="bibr" rid="B61">Song and Wang, 2013</xref>; <xref ref-type="bibr" rid="B100">Zhu et&#xa0;al., 2018a</xref>, <xref ref-type="bibr" rid="B92">2021b</xref>; <xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2020</xref>). Near-bed SSC in the ETM surged to 80 kg/m<sup>3</sup>, despite declining riverine sediment supply (<xref ref-type="bibr" rid="B71">Wan and Zhao, 2017</xref>; <xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B26">Guo et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>). Surface SSCs, however, decreased significantly (<xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B47">Luo et&#xa0;al., 2022</xref>). Consequently, sediment-induced density gradients (i.e., stratification) were notably enhanced (<xref ref-type="bibr" rid="B36">Li et&#xa0;al., 2018</xref>), which may overwhelm salinity-driven density stratification.</p>
</sec>
<sec id="s3" sec-type="materials|methods">
<label>3</label>
<title>Materials and methods</title>
<sec id="s3_1">
<label>3.1</label>
<title>Datasets</title>
<p>To assess the impact of the DWP on estuarine stratification and sediment transport, we analyzed field measurements collected from the North Passage of the Changjiang Estuary before (June 1999) and after (August 2012) the project. These measurements, conducted during spring tides, were obtained from campaigns conducted by the Changjiang Estuary Waterway Administration Bureau. The pre-DWP dataset (1999) includes data from four monitoring stations, whereas the post-DWP dataset (2012) comprises an expanded network of nine stations (<xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>; <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Details of in-situ measurements.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="center">Observation period</th>
<th valign="middle" align="center">Stations</th>
<th valign="middle" align="center">Tidal range*<break/>(m)</th>
<th valign="middle" align="center">Discharge**<break/>(m<sup>3</sup>/s)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="center">18:00, 29 June, 1999 -10:00, 30 June, 1999</td>
<td valign="middle" align="center">CS2, CS3, CS6, CS8</td>
<td valign="middle" align="center">3.3</td>
<td valign="middle" align="center">54,300</td>
</tr>
<tr>
<td valign="middle" align="center">05:00, 17 August, 2012 - 19:00, 17 August, 2012</td>
<td valign="middle" align="center">CS1-CS9, CS6s, CS6n</td>
<td valign="middle" align="center">3.7</td>
<td valign="middle" align="center">52,500</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>* Tidal range measured at the mouth of the estuary (Niupijiao Tide Gauging Station);</p>
</fn>
<fn>
<p>** Monthly mean river discharge at the tidal limit (Datong Hydrological Gauging Station).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Hydrological conditions during the two surveys were comparable, facilitating a meaningful analysis of DWP impacts. During the observations, the mean river discharge at the Datong hydrological station was 54,300 m&#xb3;/s in 1999 and 52,500 m&#xb3;/s in 2012, differing by less than 3%. Similarly, tidal ranges were closely matched, with observed ranges of approximately 3.3 m in 1999 and 3.7 m in 2012. Despite this consistency in hydrological and tidal conditions, the fluvial sediment load declined significantly between these two periods, from approximately 340 Mt/yr in 1999 to 132 Mt/yr in 2012, as a direct consequence of extensive sediment retention in upstream reservoirs and improved soil conservation practices in the watershed (<xref ref-type="bibr" rid="B27">Guo et&#xa0;al., 2018</xref>, <xref ref-type="bibr" rid="B26">2019</xref>; <xref ref-type="bibr" rid="B93">Zhu et&#xa0;al., 2019</xref>).</p>
<p>At each monitoring station, hydrodynamic and sedimentary parameters were measured at six relative-depth layers, specifically at normalized depths (<italic>z</italic>/<italic>H</italic>) of 0.05 (near-bed), 0.2, 0.4, 0.6, 0.8, and 0.95 (near-surface), where <italic>H</italic> represents the total water depth and <italic>z</italic> is the vertical distance above the seabed. Flow velocities and directions were measured every 30 minutes using rotor current meters, with accuracies of &#xb1;0.01 m/s for velocity and &#xb1;1&#xb0;for direction. Water samples were collected every 30 minutes at each depth layer to determine salinity and SSC. Salinity was measured using a calibrated salimeter with a precision of &#xb1;0.01 PSU. SSC was determined by filtering water samples through pre-weighed membrane filters, followed by drying at 60&#xb0;C for eight hours and weighing to quantify the sediment mass. These measurements were tidally averaged directly from the observed data for subsequent analyses, without applying harmonic analysis or additional preprocessing.</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Sediment flux decomposition</title>
<p>In this study, we applied a sediment flux decomposition approach to understand changes in sediment transport mechanisms induced by the DWP. The instantaneous along-estuary velocity (<italic>u</italic>) and SSC (<italic>c</italic>) at any depth can be divided into tide-averaged and oscillatory components, and the tide-averaged term can be further decomposed into a depth-averaged component and its deviation (<xref ref-type="bibr" rid="B17">Dyer, 1974</xref>; <xref ref-type="bibr" rid="B62">Su and Wang, 1986</xref>; <xref ref-type="bibr" rid="B98">Zhu et&#xa0;al., 2022</xref>), as <xref ref-type="disp-formula" rid="eq1">Equations 1</xref> and <xref ref-type="disp-formula" rid="eq2">2</xref>:</p>
<disp-formula id="eq1">
<label>(1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>=</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="eq2">
<label>(2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>=</mml:mo>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> Represent tidally depth-averaged values, <inline-formula>
<mml:math display="inline" id="im3">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x2018; and <inline-formula>
<mml:math display="inline" id="im4">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>&#x2018; denote vertical deviations from tidally averaged values, and <inline-formula>
<mml:math display="inline" id="im5">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im6">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> denote tidal oscillation. The residual (net) sediment flux is obtained as <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:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>=</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mn>1</mml:mn>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mn>2</mml:mn>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mn>3</mml:mn>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mn>4</mml:mn>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mrow>
<mml:mo>&#x2329;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:msup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>'</mml:mo>
</mml:msup>
<mml:mover accent="true">
<mml:mrow>
<mml:msub>
<mml:mi>c</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="true">&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mo>&#x232a;</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mn>5</mml:mn>
</mml:munder>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where the brackets represent tidal averaging, the first term denotes advection by mean flow (i.e., barotropic component or non-tidal drift), the second term accounts for transport driven by estuarine circulation, and the third term represents tidal pumping. These components were analyzed to assess the relative contributions of different sediment transport mechanisms before and after the DWP. The last two terms produce no residual sediment fluxes, as their integrals over the water column equal zero.</p>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Stratification and potential energy anomaly</title>
<p>The influence of the DWP on vertical density stratification was evaluated using the potential energy anomaly (<inline-formula>
<mml:math display="inline" id="im7">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula>), a metric representing the energy required to mix the water column into a uniform density profile (<xref ref-type="bibr" rid="B60">Simpson et&#xa0;al., 1990</xref>). The potential energy anomaly is defined as <xref ref-type="disp-formula" rid="eq4">Equation 4</xref>:</p>
<disp-formula id="eq4">
<label>(4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>H</mml:mi>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>H</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
<mml:mi>g</mml:mi>
<mml:mi>z</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im8">
<mml:mi>&#x3c1;</mml:mi>
</mml:math>
</inline-formula> is the water density, <inline-formula>
<mml:math display="inline" id="im9">
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula> is the depth-averaged density, <inline-formula>
<mml:math display="inline" id="im10">
<mml:mi>g</mml:mi>
</mml:math>
</inline-formula> is gravitational acceleration, <inline-formula>
<mml:math display="inline" id="im11">
<mml:mi>H</mml:mi>
</mml:math>
</inline-formula> is water depth, and <inline-formula>
<mml:math display="inline" id="im12">
<mml:mi>z</mml:mi>
</mml:math>
</inline-formula> is the vertical coordinate.</p>
<p>Water density was determined from salinity, temperature, and SSC using <xref ref-type="disp-formula" rid="eq5">Equation 5</xref>:</p>
<disp-formula id="eq5">
<label>(5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>-</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im13">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>w</mml:mi>
</mml:msub>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>T</mml:mi>
<mml:mo>,</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>S</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the density of freshwater, <inline-formula>
<mml:math display="inline" id="im14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the density of suspended sediments (estimated as 2,570 kg/m<sup>3</sup> for the Changjiang Estuary; <xref ref-type="bibr" rid="B25">Guo et&#xa0;al., 2017</xref>), and <inline-formula>
<mml:math display="inline" id="im15">
<mml:mi>C</mml:mi>
</mml:math>
</inline-formula> is SSC. Since temperature variations were minimal (&lt;1&#xb0;C) during observations, temperature effects were neglected.</p>
<p>To examine the temporal evolution of stratification, we evaluated the rate of change of <inline-formula>
<mml:math display="inline" id="im16">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B60">Simpson et&#xa0;al., 1990</xref>), using <xref ref-type="disp-formula" rid="eq6">Equation 6</xref>:</p>
<disp-formula id="eq6">
<label>(6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>g</mml:mi>
<mml:mi>H</mml:mi>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>H</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
<mml:mi>z</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im17">
<mml:mi>t</mml:mi>
</mml:math>
</inline-formula> denotes time. Accounting for only the along-estuary direction (<inline-formula>
<mml:math display="inline" id="im18">
<mml:mi>x</mml:mi>
</mml:math>
</inline-formula>), <xref ref-type="bibr" rid="B60">Simpson et&#xa0;al. (1990)</xref> proposed the classical tidal straining, as <xref ref-type="disp-formula" rid="eq7">Equation 7</xref>:</p>
<disp-formula id="eq7">
<label>(7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>g</mml:mi>
<mml:mi>H</mml:mi>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>H</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>u</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi>u</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
<mml:mo stretchy="false">)</mml:mo>
<mml:mi>z</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im19">
<mml:mi>u</mml:mi>
</mml:math>
</inline-formula> is along-estuary velocity, and <inline-formula>
<mml:math display="inline" id="im20">
<mml:mover accent="true">
<mml:mi>u</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:math>
</inline-formula> is its vertically averaged value.</p>
<p>This formulation can be extended to three dimensions (<xref ref-type="bibr" rid="B2">Burchard and Hofmeister, 2008</xref>; <xref ref-type="bibr" rid="B10">de Boer et&#xa0;al., 2008</xref>), as <xref ref-type="disp-formula" rid="eq8">Equation 8</xref>:</p>
<disp-formula id="eq8">
<label>(8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3c6;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>g</mml:mi>
<mml:mi>H</mml:mi>
</mml:mfrac>
<mml:mstyle displaystyle="true">
<mml:mrow>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>H</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>u</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x2dc;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:munder>
</mml:mrow>
</mml:mrow>
</mml:mstyle>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mi>v</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x2dc;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>u</mml:mi>
<mml:mo>&#x2dc;</mml:mo>
</mml:mover>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:munder>
<mml:munder>
<mml:mrow>
<mml:mover accent="true">
<mml:mi>v</mml:mi>
<mml:mo>&#x2dc;</mml:mo>
</mml:mover>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mover accent="true">
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo stretchy="true">&#xfe38;</mml:mo>
</mml:munder>
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:munder>
<mml:mo>+</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mi>z</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im21">
<mml:mi>x</mml:mi>
</mml:math>
</inline-formula>, <inline-formula>
<mml:math display="inline" id="im22">
<mml:mi>y</mml:mi>
</mml:math>
</inline-formula>, and <inline-formula>
<mml:math display="inline" id="im23">
<mml:mi>z</mml:mi>
</mml:math>
</inline-formula> represent along-estuary, cross-estuary, and vertical directions, respectively. The above horizontal and wavy lines denote depth-averaged value and deviation, respectively. This formulation allows for the identification of processes such as advection (<inline-formula>
<mml:math display="inline" id="im24">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im25">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), straining (<inline-formula>
<mml:math display="inline" id="im26">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im27">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), which are essential for understanding estuarine circulation and sediment transport dynamics. Since advection and straining are primary contributors to water stratification, and the remaining (<inline-formula>
<mml:math display="inline" id="im28">
<mml:mi>R</mml:mi>
</mml:math>
</inline-formula>) contribution is negligible (<xref ref-type="bibr" rid="B10">de Boer et&#xa0;al., 2008</xref>), we focus on advection and straining processes in this work.</p>
</sec>
<sec id="s3_4">
<label>3.4</label>
<title>Eddy viscosity and mixing</title>
<p>Vertical mixing was assessed using eddy diffusivity (<inline-formula>
<mml:math display="inline" id="im29">
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), linked to eddy viscosity (<inline-formula>
<mml:math display="inline" id="im30">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) with the turbulent Prandtl-Schmidt number. Eddy viscosity quantifies momentum transfer due to turbulent eddies. Following <xref ref-type="bibr" rid="B51">Munk and Anderson (1948)</xref>, <inline-formula>
<mml:math display="inline" id="im31">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was estimated as <xref ref-type="disp-formula" rid="eq9">Equation 9</xref>:</p>
<disp-formula id="eq9">
<label>(9)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bd;</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>&#x3ba;</mml:mi>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>*</mml:mo>
</mml:msub>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>-</mml:mo>
<mml:mfrac>
<mml:mi>z</mml:mi>
<mml:mi>H</mml:mi>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>10</mml:mn>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>-</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mi>2</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im32">
<mml:mi>&#x3ba;</mml:mi>
</mml:math>
</inline-formula> is von K&#xe1;rm&#xe1;n&#x2019;s constant (0.41), and <inline-formula>
<mml:math display="inline" id="im33">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>*</mml:mo>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the friction velocity, estimated by the regression of von K&#xe1;rm&#xe1;n-Prandtl velocity profile, as <xref ref-type="disp-formula" rid="eq10">Equation 10</xref>:</p>
<disp-formula id="eq10">
<label>(10)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>u</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>*</mml:mo>
</mml:msub>
</mml:mrow>
<mml:mi>&#x3ba;</mml:mi>
</mml:mfrac>
<mml:mi>ln</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>z</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im34">
<mml:mrow>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is hydraulic roughness. Both <inline-formula>
<mml:math display="inline" id="im35">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>*</mml:mo>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula>
<mml:math display="inline" id="im36">
<mml:mrow>
<mml:msub>
<mml:mi>z</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were estimated with a regression coefficient R<sup>2</sup>&gt;0.80. The gradient Richardson number (<inline-formula>
<mml:math display="inline" id="im37">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) is defined as <xref ref-type="disp-formula" rid="eq11">Equation 11</xref>:</p>
<disp-formula id="eq11">
<label>(11)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mi>g</mml:mi>
<mml:mi>&#x3c1;</mml:mi>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo stretchy="false">/</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>+</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>Eddy viscosity was vertically and tidally averaged to assess its role in estuarine circulation following <xref ref-type="bibr" rid="B31">Hansen and Rattray (1965)</xref> and <xref ref-type="bibr" rid="B49">MacCready and Geyer (2010)</xref>. The relationship between stratification and estuarine circulation intensity (<inline-formula>
<mml:math display="inline" id="im38">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) was evaluated using <xref ref-type="disp-formula" rid="eq12">Equation 12</xref>:</p>
<disp-formula id="eq12">
<label>(12)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:mn>48</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mi>g</mml:mi>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where <inline-formula>
<mml:math display="inline" id="im39">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the saline contraction coefficient, <inline-formula>
<mml:math display="inline" id="im40">
<mml:mi>H</mml:mi>
</mml:math>
</inline-formula> is water depth, <inline-formula>
<mml:math display="inline" id="im41">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is vertically averaged eddy viscosity, and <inline-formula>
<mml:math display="inline" id="im42">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is the along-channel salinity gradient. By applying these calculations to pre- and post-DWP datasets, we assessed the influence of deepening and narrowing on estuarine circulation.</p>
</sec>
</sec>
<sec id="s4" sec-type="results">
<label>4</label>
<title>Results</title>
<sec id="s4_1">
<label>4.1</label>
<title>Topographic changes</title>
<p>Due to the DWP, the North Passage underwent significant morphological alterations, including channel deepening and narrowing. To evaluate these changes, we compared the estuarine topography before (1997) and after (2013) the completion of the DWP (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref>). The modifications primarily affected channel depth, estuary width, and cross-sectional area along the North Passage.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Topographic changes along the North Passage. <bold>(a)</bold> Cross-sectional area as a function of distance from CS1 before (1997) and after (2013) the Deep Waterway Project (DWP). <bold>(b)</bold> Mean depth of each cross-section. <bold>(c)</bold> Thalweg depth. <bold>(d)</bold> Channel width of the North Passage.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g002.tif"/>
</fig>
<p>Bathymetric surveys indicate that the navigation channel deepened substantially throughout the estuary, with the most pronounced changes occurring in the upper reaches (between CS2 and CS3), where the thalweg depth increased by over 70% (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2c</bold>
</xref>). Further downstream, between CS6 and CS9, depth increases ranged from 40% to 60%. Correspondingly, the mean depth of cross-sections doubled at CS2 and increased by 10%~60% at other locations (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2b</bold>
</xref>). These changes reflect natural sediment redistribution and anthropogenic dredging efforts to maintain navigability.</p>
<p>Despite the increased depth, the total cross-sectional area of the North Passage decreased due to channel narrowing. The width of the estuary contracted by 10%~70% along different segments, with the most significant reductions observed in the downstream sections (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2d</bold>
</xref>). As a result, cross-sectional areas decreased progressively seaward, with reductions ranging from approximately 10% at CS1 to nearly 50% at CS8 (<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2a</bold>
</xref>).</p>
<p>Overall, the DWP led to a deeper and narrower estuarine channel, fundamentally altering the hydrodynamic conditions. These topographic changes have implications for estuarine circulation, salinity stratification, and sediment transport, which are analyzed in subsequent sections.</p>
</sec>
<sec id="s4_2">
<label>4.2</label>
<title>Velocity, salinity, and SSC changes</title>
<p>The hydrodynamic conditions in the North Passage changed notably after the DWP, primarily due to channel deepening and narrowing. These modifications influenced flow velocity, salinity intrusion, and SSC, altering the estuarine circulation and stratification.</p>
<sec id="s4_2_1">
<label>4.2.1</label>
<title>Velocity changes</title>
<p>As a consequence of channel narrowing, flow velocities increased significantly throughout the North Passage. The maximum recorded velocity rose from 2.8 m/s before the DWP to 3.2 m/s after the DWP. The most pronounced acceleration occurred in the upper reaches of the estuary and near the surface. At CS3, for example, the peak depth-averaged ebbing velocity increased from 1.8 m/s pre-DWP to 2.8 m/s post-DWP, whereas flood velocities remained relatively stable around 0.9 m/s. Concurrently, the duration of ebb tides lengthened slightly, from 7.8 hours to 8.1 hours, while flood tide duration reduced from 4.7 hours to 4.4 hours. These changes indicate an enhanced ebb-dominant flow regime (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>), significantly affecting sediment transport and stratification dynamics.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Along-estuary distributions of velocity (arrows), salinity (contour lines), and suspended sediment concentration (SSC; filled contours) at different tidal phases: <bold>(a, e)</bold> low-water slack (LWS), <bold>(b, f)</bold> maximum flood (MF), <bold>(c, g)</bold> high-water slack (HWS), and <bold>(d, h)</bold> maximum ebb (ME). Left panels represent conditions before the Deep Waterway Project (DWP), while right panels show conditions after the DWP. Note that different color bars are used for the left and right panels. MSL, mean sea level.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g003.tif"/>
</fig>
<p>Notably, channel narrowing intensified tidal asymmetry, characterized by a stronger and slightly longer ebb tide relative to the flood tide. Enhanced ebb dominance implies increased seaward sediment transport capacity near the surface layers. However, the intensified vertical velocity shear, resulting from increased ebb velocities near the surface and relatively stable flood velocities near the bed, promotes stratification and enhances turbulence suppression, affecting the vertical distribution of sediment. Thus, the observed tidal asymmetry post-DWP not only intensifies the ebb-dominant sediment transport near the surface but also reinforces near-bed sediment retention through increased stratification and suppressed vertical mixing.</p>
</sec>
<sec id="s4_2_2">
<label>4.2.2</label>
<title>Changes in salinity distribution</title>
<p>The extent of saltwater intrusion remained relatively unchanged after the DWP, with the 5 PSU contour consistently fluctuating between CS6 during low water slack and CS3 at high water slack (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). However, salinity increased notably near the estuary mouth, particularly near the bottom. For instance, the 20 PSU contour, previously extending only up to CS8, shifted approximately 10 km upstream to CS6 after the DWP. This enhancement in bottom-layer salt intrusion contrasts with reduced surface salinity due to enhanced freshwater outflows. The resulting amplification of vertical salinity gradients increased stratification, as quantified further in Section 4.5.</p>
<p>It should be noted that tidal fluctuations were similar (3.3 m pre-DWP vs. 3.7 m post-DWP), suggesting minimal impact on observed salinity differences. The changes in salinity are thus predominantly due to the alterations in channel geometry rather than differences in tidal conditions. Although detailed wind data were unavailable, seasonal winds typically have minor effects on surface salinity in the Changjiang Estuary. Future studies should explicitly include wind forcing to clarify these interactions better.</p>
</sec>
<sec id="s4_2_3">
<label>4.2.3</label>
<title>Changes in SSC</title>
<p>The ETM expanded significantly following the DWP, with an increase in both its spatial extent and SSC magnitude. The maximum SSC increased from less than 5 kg/m&#xb3; before the DWP to 88 kg/m&#xb3; afterward, particularly near the bottom (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>). Throughout the tidal cycle, the ETM exhibited a more extensive distribution, increasing in length from approximately 30 km before the DWP to ~45 km after the DWP&#x2014;an expansion of 50%. Despite this spatial increase, the ETM remained centered near the saltwater intrusion limit, where sediment convergence occurs due to estuarine circulation and tidal pumping processes.</p>
</sec>
</sec>
<sec id="s4_3">
<label>4.3</label>
<title>Residual flows and estuarine circulation</title>
<p>The DWP significantly altered the residual flow patterns in the North Passage, particularly affecting estuarine circulation. A comparison of conditions before and after the DWP reveals notable changes in flow structure, including an increase in residual currents and the development of enhanced two-layer circulation.</p>
<sec id="s4_3_1">
<label>4.3.1</label>
<title>Changes in residual flow patterns</title>
<p>Before the DWP, residual flow was predominantly directed seaward throughout most of the North Passage, with velocities decreasing downstream (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4a</bold>
</xref>). Flow magnitude also varied vertically, with stronger seaward residual currents near the surface (0.6 m/s at CS2) and weaker flows near the bottom (0.4 m/s). At downstream locations, such as CS8, the residual flow was nearly uniform throughout the water column, with an average velocity of 0.1 m/s.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>-channel distributions of <bold>(a, g)</bold> residual flow, <bold>(b, h)</bold> tidally averaged salinity, <bold>(c, i)</bold> suspended sediment concentration, <bold>(d, j)</bold> Richardson number (Ri), <bold>(e, k)</bold> eddy viscosity, and <bold>(f, l)</bold> residual sediment flux before <bold>(a&#x2013;f)</bold> and after <bold>(g&#x2013;l)</bold> the Deep Waterway Project (DWP). Panels <bold>(m&#x2013;r)</bold> represent the differences between pre- and post-DWP conditions. Positive values for residual flow and sediment flux indicate seaward transport along the channel. Black contour lines denote zero values.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g004.tif"/>
</fig>
<p>After the DWP, residual flows increased significantly across the estuary, especially near the surface (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4g</bold>
</xref>). At CS6, for instance, surface residual flow nearly doubled from 0.6 m/s to 1.2 m/s. Furthermore, a landward-directed residual flow developed at the mouth of the estuary (CS9), indicating the emergence of a residual circulation cell. This suggests that the estuarine flow regime transitioned from a simple seaward-directed pattern to a more complex two-layer exchange system.</p>
</sec>
<sec id="s4_3_2">
<label>4.3.2</label>
<title>Enhanced estuarine circulation</title>
<p>The strength of estuarine circulation, as indicated by exchange flow intensity, increased notably after the DWP (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5a</bold>
</xref>). Estuarine circulation is typically characterized by seaward-directed flow in the surface layers and landward-directed flow near the bottom, driven by density gradients and gravitational forces. Prior to the DWP, exchange flow velocities were generally low, with <inline-formula>
<mml:math display="inline" id="im44">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values below 0.1 m/s. Following the DWP, <inline-formula>
<mml:math display="inline" id="im45">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> values increased to approximately 0.3 m/s, particularly in the mid-to-lower reaches of the estuary. The largest increases were observed at CS6 and CS8, where <inline-formula>
<mml:math display="inline" id="im46">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> tripled compared to pre-DWP conditions.</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Along-channel distributions of vertically and tidally averaged <bold>(a)</bold> exchange flow (<inline-formula>
<mml:math display="inline" id="im43">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), <bold>(b)</bold> Richardson number (<italic>Ri</italic>
<sub>0</sub>
<italic>
<sub>a</sub>
</italic>), <bold>(c)</bold> eddy viscosity (<italic>K<sub>M</sub>
</italic>), <bold>(d)</bold> salinity (<italic>S</italic>
<sub>0</sub>
<italic>
<sub>a</sub>
</italic>), and <bold>(e)</bold> along-channel salinity gradient (<italic>S<sub>x</sub>
</italic>) before and after the Deep Waterway Project (DWP). Error bars represent standard deviations.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g005.tif"/>
</fig>
<p>These findings suggest that the combination of channel deepening and narrowing intensified estuarine circulation. The mechanisms responsible for this enhancement include increased stratification, changes in salinity gradients, and modifications in vertical mixing patterns. Subsequent sections discuss the implications of these circulation changes for sediment transport and estuarine dynamics.</p>
</sec>
</sec>
<sec id="s4_4">
<label>4.4</label>
<title>Stratification</title>
<p>The DWP significantly altered the stratification dynamics of the North Passage, intensifying vertical density gradients. To quantify these changes, we analyzed the potential energy anomaly (<inline-formula>
<mml:math display="inline" id="im47">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula>), a measure of the energy required to mix the water column thoroughly. The results indicate that both salinity- and sediment-induced stratification increased after the DWP, with profound implications for estuarine circulation and sediment transport.</p>
<sec id="s4_4_1">
<label>4.4.1</label>
<title>Changes in salinity-induced stratification</title>
<p>Before the DWP, stratification in the North Passage was relatively weak, with <inline-formula>
<mml:math display="inline" id="im48">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> values generally below 100 J/m&#xb3;. Salinity was the dominant contributor to density differences, particularly in the lower estuary, where saltwater intrusion influenced the vertical structure. During flood tides, the water column became progressively more stratified as denser saline water moved landward. However, this stratification was periodically disrupted during ebb tides due to the retreat of the salt wedge, leading to well-mixed conditions (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6a</bold>
</xref>).</p>
<fig id="f6" position="float">
<label>Figure&#xa0;6</label>
<caption>
<p>Tidal variations of <bold>(A)</bold> salinity-induced and <bold>(B)</bold> sediment-induced potential energy anomaly: <bold>(a, d)</bold> before and <bold>(b, e)</bold> after the Deep Waterway Project (DWP). Panels <bold>(c, f)</bold> show tidal averages along the North Passage. White lines indicate high-water slack (HWS) and low-water slack (LWS). Error bars represent standard deviations.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g006.tif"/>
</fig>
<p>Following the DWP, salinity stratification intensified, particularly in the downstream sections of the estuary. The maximum <inline-formula>
<mml:math display="inline" id="im49">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> values increased to approximately 220 J/m&#xb3;, nearly doubling compared to pre-DWP conditions (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6b</bold>
</xref>). The development of stronger and more persistent stratification was primarily driven by enhanced saltwater intrusion near the bottom, while freshwater flushing near the surface maintained vertical density gradients. As a result, stratification was sustained for longer periods over the tidal cycle, influencing turbulence and mixing dynamics.</p>
</sec>
<sec id="s4_4_2">
<label>4.4.2</label>
<title>Changes in sediment-induced stratification</title>
<p>In addition to salinity effects, sediment-induced stratification became a key factor in the post-DWP environment. The concentration of suspended sediment near the bed increased substantially, leading to the formation of dense bottom layers with high SSC. In the mid-estuary region (CS4&#x2013;CS7), sediment-induced stratification became more significant than salinity stratification, with <inline-formula>
<mml:math display="inline" id="im50">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> values exceeding 700 J/m&#xb3; in these areas (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6e</bold>
</xref>).</p>
<p>Unlike salinity-driven stratification, which primarily followed the tidal cycle, sediment-induced stratification exhibited a different temporal pattern. Peak sediment stratification occurred during periods of accelerating or decelerating flow, likely due to the combined effects of sediment resuspension and deposition. The tidally averaged sediment-induced <inline-formula>
<mml:math display="inline" id="im51">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> after the DWP increased more than 30-fold compared to pre-DWP values, reaching up to 330 J/m&#xb3;. This substantial increase implies a greater energy requirement for vertical mixing, further dampening turbulence and reinforcing estuarine circulation.</p>
</sec>
<sec id="s4_4_3">
<label>4.4.3</label>
<title>Implications for mixing and circulation</title>
<p>The enhanced stratification observed after the DWP directly influenced vertical mixing processes. The increase in the Richardson number (<inline-formula>
<mml:math display="inline" id="im52">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4j</bold>
</xref>) indicates stronger suppression of vertical turbulence, particularly in mid-estuarine sections where <inline-formula>
<mml:math display="inline" id="im53">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> values exceeded 4.0, more than 30 times higher than pre-DWP conditions. Correspondingly, eddy viscosity was reduced by 30%~40% (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5c</bold>
</xref>), highlighting the damping effect of stratification on turbulent mixing.</p>
<p>A stronger stratification developed during the early flood tide at CS8 (<xref ref-type="fig" rid="f7">
<bold>Figures&#xa0;7</bold>
</xref>, <xref ref-type="fig" rid="f8">
<bold>8</bold>
</xref>). Two processes are responsible for this unexpected stratification. First, reversed velocity shears (i.e., straining) moved bottom saltwater landward faster than freshwater near the surface during the early flood tide (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7b</bold>
</xref>). Such stratification development driven by along-channel straining is confirmed by the change rate of salinity-induced potential energy anomaly (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8c</bold>
</xref>). Second, lateral straining and advection also develop stratification during the early flood tide (<xref ref-type="fig" rid="f8">
<bold>Figure&#xa0;8</bold>
</xref>).</p>
<fig id="f7" position="float">
<label>Figure&#xa0;7</label>
<caption>
<p>Time-depth variations of <bold>(a)</bold> along-channel velocity, <bold>(b)</bold> salinity, <bold>(c)</bold> suspended sediment concentration, and <bold>(d)</bold> Richardson number at CS8 after the Deep Waterway Project. White lines indicate zero velocity, with positive along-channel velocity representing ebb tides.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g007.tif"/>
</fig>
<fig id="f8" position="float">
<label>Figure&#xa0;8</label>
<caption>
<p>Time series of <bold>(a)</bold> water level and depth-averaged velocity, <bold>(b)</bold> potential energy anomaly induced by salinity, sediment, and their combination, and contributions of different terms (i.e., <italic>A<sub>x</sub>
</italic>: along-estuary advection, <italic>A<sub>y</sub>
</italic>: cross-estuary advection; <italic>S<sub>x</sub>
</italic>: along-estuary straining; <italic>S<sub>y</sub>
</italic>: cross-estuary straining) to the change rate of <bold>(c)</bold> salinity-induced and <bold>(d)</bold> sediment-induced potential energy anomaly at CS8 after the Deep Waterway Project (DWP). Stacked areas represent the contributions of individual terms, where the sum of positive and negative areas at each time step gives the calculated change rate of potential energy anomaly (dashed lines). Solid lines denote the measured change rate, obtained by computing the time derivative of potential energy anomaly at 30-minute intervals. Gray shading indicates flood tides.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g008.tif"/>
</fig>
<p>Overall, these findings suggest that the combined effects of increased salinity stratification and sediment-induced density gradients played a critical role in modifying estuarine circulation. The suppression of turbulence enhanced the stability of near-bed sediment suspensions, influencing sediment transport pathways and ETM formation, as discussed in subsequent sections.</p>
</sec>
</sec>
<sec id="s4_5">
<label>4.5</label>
<title>Sediment transport</title>
<p>The DWP substantially modified sediment transport dynamics in the North Passage, leading to increased sediment import, intensified ETM formation, and altered transport mechanisms. The primary changes include enhanced residual sediment flux, greater near-bed sediment convergence, and a shift in the relative contributions of different transport processes.</p>
<sec id="s4_5_1">
<label>4.5.1</label>
<title>Changes in residual sediment flux</title>
<p>Before the DWP, residual sediment transport was predominantly directed seaward, with a higher SSC near the bottom than at the surface. The maximum residual sediment flux prior to the DWP was approximately 0.5 kg/m&#xb2;/s near the bed, with a decreasing trend from upstream to downstream (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4f</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9a</bold>
</xref>). This pattern suggested a natural trapping mechanism at the saltwater intrusion limit, although the magnitude of sediment retention was relatively low.</p>
<fig id="f9" position="float">
<label>Figure&#xa0;9</label>
<caption>
<p>Along-channel sediment fluxes driven by barotropic (green), estuarine circulation (blue), and tidal pumping (brown) components <bold>(a)</bold> before and <bold>(b)</bold> after the Deep Waterway Project (DWP). Positive values indicate seaward transport, while negative values represent landward transport. Note the different scales in the lower panel for CS4, CS5, CS6, and CS7.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g009.tif"/>
</fig>
<p>Following the DWP, residual sediment transport intensified, particularly near the bottom, where values exceeded 10.0 kg/m&#xb2;/s in the middle reaches of the estuary (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4l</bold>
</xref>, <xref ref-type="fig" rid="f9">
<bold>9b</bold>
</xref>). This dramatic increase was driven by the formation of high-concentration near-bed suspensions, where SSCs reached up to 80 kg/m&#xb3;. While residual transport remained seaward at upstream stations (e.g., CS1&#x2013;CS6), a clear landward transport component emerged near the mouth (CS8), resulting in sediment convergence at the saltwater intrusion limit. This convergence played a crucial role in the expansion of the ETM.</p>
</sec>
<sec id="s4_5_2">
<label>4.5.2</label>
<title>Decomposition of sediment transport mechanisms</title>
<p>To better understand the processes controlling sediment transport, the total sediment flux was decomposed into its primary components: advection (barotropic and estuarine circulation-driven transport) and tidal pumping.</p>
<p>Before the DWP, advection was the dominant transport mechanism, controlled mainly by river discharge. Barotropic transport accounted for most sediment flux, while estuarine circulation and tidal pumping contributions were relatively minor (<xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9a</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10a</bold>
</xref>).</p>
<fig id="f10" position="float">
<label>Figure&#xa0;10</label>
<caption>
<p>Along-channel sediment fluxes driven by advection (blue) and pumping (red) before <bold>(a)</bold> and after <bold>(b)</bold> the Deep Waterway Project (DWP). Positive values indicate seaward transport, while negative values represent landward transport. Black lines denote isohalines, and the filled colors represent tidally averaged suspended sediment concentrations.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g010.tif"/>
</fig>
<p>After the DWP, estuarine circulation and tidal pumping became more influential (<xref ref-type="fig" rid="f9">
<bold>Figures&#xa0;9b</bold>
</xref>, <xref ref-type="fig" rid="f10">
<bold>10b</bold>
</xref>). Near the bottom, estuarine circulation facilitated significant landward sediment transport, with fluxes reaching 15 kg/m&#xb2;/s. Meanwhile, tidal pumping, which was previously weak, became more prominent, particularly around the ETM zone. At CS4, tidal pumping transported sediment upstream, while at CS6&#x2013;CS7, it shifted sediment downstream. This bidirectional effect contributed to the elongation of the ETM.</p>
<p>At CS8, tidal pumping induced seaward sediment transport in the middle layers while driving landward transport near the bottom, reinforcing sediment accumulation. The interaction between advection and tidal pumping resulted in a net convergence of sediment in the mid-estuary, supporting the growth and persistence of ETM.</p>
</sec>
<sec id="s4_5_3">
<label>4.5.3</label>
<title>Formation and expansion of the ETM</title>
<p>The intensified estuarine circulation and increased sediment retention after the DWP facilitated the concentration and expansion of the ETM. Before the DWP, the ETM was relatively compact (~30 km in length) and maintained moderate SSCs (&lt;5 kg/m&#xb3;). After the DWP, the ETM extended to ~45 km, with near-bed SSCs increasing nearly 20-fold (<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref>).</p>
<p>This transformation can be attributed to two key mechanisms:</p>
<list list-type="order">
<list-item>
<p>Stratification-Enhanced Sediment Trapping: The strengthened density stratification after the DWP suppressed vertical mixing, allowing fine sediments to accumulate near the bed. This process reinforced sediment retention and limited seaward transport.</p>
</list-item>
<list-item>
<p>Tidal Pumping Redistribution: The increased velocity and SSC gradients enhanced dispersive fluxes, leading to sediment redistribution upstream and downstream of the ETM core. This process contributed to the ETM expansion while maintaining its position near the saltwater intrusion limit.</p>
</list-item>
</list>
</sec>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<label>5</label>
<title>Discussion</title>
<sec id="s5_1">
<label>5.1</label>
<title>Deepening and narrowing impacts on estuarine circulation</title>
<p>The observed increase in estuarine circulation post-DWP is primarily attributed to channel deepening and narrowing. Theoretical models suggest that estuarine circulation intensity (<inline-formula>
<mml:math display="inline" id="im54">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) is governed by water depth (<italic>H</italic>), vertical mixing (represented by eddy viscosity, <italic>K<sub>M</sub>
</italic>), and the along-channel salinity gradient (<inline-formula>
<mml:math display="inline" id="im55">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="bibr" rid="B31">Hansen and Rattray, 1965</xref>; <xref ref-type="bibr" rid="B49">MacCready and Geyer, 2010</xref>; <xref ref-type="bibr" rid="B55">Ralston and Geyer, 2019</xref>). This section discusses their roles in the enhanced estuarine circulation due to the DWP.</p>
<p>Since estuarine circulation scales with <inline-formula>
<mml:math display="inline" id="im56">
<mml:mrow>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="eq12">Equation 12</xref>; <xref ref-type="bibr" rid="B31">Hansen and Rattray, 1965</xref>; <xref ref-type="bibr" rid="B49">MacCready and Geyer, 2010</xref>), the deepening of the navigation channel, with a 50% increase in <italic>H</italic>, led to a threefold increase in <inline-formula>
<mml:math display="inline" id="im57">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). Increased water depth with a fixed estuary width lowers flow velocity and friction velocity, thereby decreasing eddy viscosity and enhancing estuarine circulation intensity. This was the case for the lower reaches at CS6 and CS8, while the eddy viscosity increased, and estuarine circulation weakened in the upper reaches at CS2 and CS3 (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). Additionally, Channel deepening is expected to enhance salt intrusion and thereby return a lower along-channel salinity gradient (<xref ref-type="bibr" rid="B31">Hansen and Rattray, 1965</xref>; <xref ref-type="bibr" rid="B49">MacCready and Geyer, 2010</xref>; <xref ref-type="bibr" rid="B55">Ralston and Geyer, 2019</xref>). In the North Passage, however, <inline-formula>
<mml:math display="inline" id="im58">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> decreased at CS2 and CS3, but increased in the lower reaches (e.g., CS6 and CS8; <xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5e</bold>
</xref>). Correspondingly, <inline-formula>
<mml:math display="inline" id="im59">
<mml:mrow>
<mml:msub>
<mml:mi>U</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> declined in the upper reaches but increased in the lower reaches when including changes in <inline-formula>
<mml:math display="inline" id="im60">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). These deviations from expected deepening consequences highlight the impacts of narrowing on estuarine circulation.</p>
<fig id="f11" position="float">
<label>Figure&#xa0;11</label>
<caption>
<p>Analysis of the contributions of channel depth (<italic>H</italic>), eddy viscosity (<italic>K<sub>M</sub>
</italic>), and along-channel salinity gradient (<italic>S<sub>x</sub>
</italic>) to estuarine circulation (<italic>U<sub>e</sub>
</italic>) by <xref ref-type="disp-formula" rid="eq12">Equation 12</xref>. Blue bars represent estimated <italic>U<sub>e</sub>
</italic> before the Deep Waterway Project (DWP), using pre-DWP values of <italic>H</italic>, <italic>K<sub>M</sub>
</italic>, and <italic>S<sub>x</sub>
</italic>. Cyan bars show the estimates with <italic>H</italic> after the DWP, while <italic>K<sub>M</sub>
</italic> and <italic>S<sub>x</sub>
</italic> remain unchanged, highlighting the effect of increased depth. Green bars represent estimates incorporating post-DWP <italic>K<sub>M</sub>
</italic>, allowing comparison with cyan bars to assess the impact of eddy viscosity. Finally, magenta bars represent post-DWP estimates using all updated parameters, with the difference between magenta and green bars indicating the contribution of changes in <italic>S<sub>x</sub>
</italic>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g011.tif"/>
</fig>
<p>Channel narrowing has three primary impacts on estuarine hydrodynamics: (1) increasing flow velocity by reducing cross-section area, (2) enhancing stratification by increasing freshwater flushing near the surface, and (3) raising along-channel salinity gradient by suppressing salt intrusion. In the upper reaches (CS2 and CS3) of the North Passage, where water columns were well-mixed and thereby stratification effect is negligible, increased eddy viscosity (<italic>K<sub>M</sub>
</italic>) is attributed to increasing flow (friction) velocity (<xref ref-type="fig" rid="f4">
<bold>Figures&#xa0;4k</bold>
</xref>, <xref ref-type="fig" rid="f5">
<bold>5c</bold>
</xref>), leading to a weakened estuarine circulation when including changes in <italic>K<sub>M</sub>
</italic> (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>). Narrowing could enhance estuarine circulation by increasing stratification and the along-channel salinity gradient. In the downstream reaches, for example, the reduction in eddy viscosity is attributed to intensified stratification induced by both deepening and narrowing. Narrowing increases seaward freshwater flushing near the surface, whereas deepening facilitates saltwater intrusion in the bottom layer, thereby producing stronger stratification. Increased stratification (<inline-formula>
<mml:math display="inline" id="im61">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) reduces eddy viscosity, and thus gives stronger circulation (<xref ref-type="fig" rid="f11">
<bold>Figure&#xa0;11</bold>
</xref>).</p>
<p>Narrowing of the North Passage, primarily due to the construction of dikes and deposition in groin fields, increases <inline-formula>
<mml:math display="inline" id="im62">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> in two ways. First, the reduction in the cross-sectional area intensified freshwater flushing in the upper reaches, effectively shifting the saltwater seaward. Second, local hydraulic structures, such as dikes and groins, increased form drag and hydrodynamic resistance, constraining saltwater intrusion (<xref ref-type="bibr" rid="B61">Song and Wang, 2013</xref>; <xref ref-type="bibr" rid="B94">Zhu et&#xa0;al., 2021a</xref>). This restriction maintained the overall length of salt intrusion while increasing <inline-formula>
<mml:math display="inline" id="im63">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>. Consequently, estuarine circulation was enhanced in the lower reaches, where the strengthened salinity gradient promoted landward baroclinic pressure gradients and intensified exchange flows.</p>
<p>In addition to along-channel effects, estuarine narrowing also enhances stratification through lateral processes. One key mechanism involves groin fields, which trap saltwater during flood tides. During ebb tides, the faster-moving water in the main channel creates pronounced lateral salinity gradients between the deep channel and the adjacent shoals (<xref ref-type="bibr" rid="B95">Zhu et&#xa0;al., 2018b</xref>, <xref ref-type="bibr" rid="B96">2020</xref>, <xref ref-type="bibr" rid="B92">2021b</xref>; <xref ref-type="bibr" rid="B91">Zhou et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2020</xref>). This lateral salinity gradient drives a secondary circulation pattern, transporting saltier water from the groin fields toward the main channel near the bed. This process, known as lateral straining, strengthens density stratification within the estuary (<xref ref-type="bibr" rid="B95">Zhu et&#xa0;al., 2018b</xref>; <xref ref-type="bibr" rid="B4">Chen et&#xa0;al., 2020</xref>). Overall, the combined effects of deepening and narrowing played a crucial role in intensifying estuarine circulation, with narrowing influencing both mixing processes and salinity distribution.</p>
</sec>
<sec id="s5_2">
<label>5.2</label>
<title>Sediment import by estuarine circulation</title>
<p>The enhancement of estuarine circulation following the DWP was critical in increasing sediment import and retention within the North Passage. The strengthened two-layer flow structure, characterized by intensified seaward transport in the surface layer and landward transport near the bed, facilitated the accumulation of suspended sediment at the saltwater intrusion limit. This section discusses how estuarine circulation, modulated by increased stratification, contributed to enhanced sediment trapping.</p>
<p>The decomposition of sediment flux components (<xref ref-type="fig" rid="f7">
<bold>Figure&#xa0;7</bold>
</xref>) reveals that estuarine circulation became a dominant driver of sediment transport after the DWP. Before the DWP, barotropic forces primarily controlled sediment fluxes, with relatively weak contributions from circulation-driven transport. After the DWP, however, landward sediment transport associated with estuarine circulation intensified, particularly in the middle reaches of the estuary. The increase in near-bed inflows transported fine sediments upstream, leading to sediment convergence at the saltwater intrusion limit and contributing to the expansion of ETM.</p>
<p>The post-DWP increase in density stratification directly impacted sediment transport mechanisms. Enhanced salinity and sediment-induced stratification increased the gradient Richardson number (<inline-formula>
<mml:math display="inline" id="im64">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4j</bold>
</xref>), which in turn reduced vertical turbulent mixing (<xref ref-type="bibr" rid="B65">Toorman et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B75">Winterwerp, 2002</xref>; <xref ref-type="bibr" rid="B83">Xu, 2009</xref>; <xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>). Stratification-induced suppression of vertical mixing facilitated the formation of high-concentration near-bed sediment layers. With SSCs exceeding 80 kg/m&#xb3; in certain regions, these concentrated benthic suspensions played a crucial role in sediment trapping. The development of concentrated benthic suspensions can be attributed to two interconnected processes. First, vertical mixing was further inhibited as density stratification increased, preventing sediment resuspension and favoring near-bed accumulation (<xref ref-type="bibr" rid="B75">Winterwerp, 2002</xref>; <xref ref-type="bibr" rid="B16">Dijkstra et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>). This positive feedback loop reinforced sediment trapping, sustaining high SSCs near the bottom. Second, the strengthened estuarine circulation transported concentrated benthic suspensions landward, leading to significant sediment import and deposition in the mid-estuary. This transport pattern differed from tide-dominated estuaries, where tidal pumping is the primary mechanism for sediment import (<xref ref-type="bibr" rid="B76">Winterwerp, 2011</xref>; <xref ref-type="bibr" rid="B69">van Maren et&#xa0;al., 2015b</xref>; <xref ref-type="bibr" rid="B15">Dijkstra et&#xa0;al., 2019b</xref>; <xref ref-type="bibr" rid="B13">Dijkstra and de Goede, 2024</xref>).</p>
<p>The intensified estuarine circulation and the formation of concentrated benthic suspensions collectively contributed to sediment trapping at the saltwater intrusion limit. This process played a central role in reshaping sediment transport pathways and sustaining the ETM in the deepened and narrowed North Passage.</p>
</sec>
<sec id="s5_3">
<label>5.3</label>
<title>ETM extension by tidal pumping</title>
<p>The ETM in the North Passage expanded significantly following the DWP, showing increases in both spatial extent and SSC. Tidal pumping played a crucial role by redistributing fine sediments and enhancing sediment trapping. Combined with intensified stratification and stronger estuarine circulation, the enhanced tidal asymmetry post-DWP facilitated both a landward shift and a seaward extension of the ETM.</p>
<p>Tidal pumping mechanisms, in addition to periodic stratification, are influenced by velocity asymmetry, temporal and spatial lags, and dispersive fluxes, collectively contributing to sediment redistribution (<xref ref-type="bibr" rid="B60">Simpson et&#xa0;al., 1990</xref>; <xref ref-type="bibr" rid="B19">Gatto et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B82">W&#xfc;nsche et&#xa0;al., 2024</xref>). Following the DWP, tidal pumping intensified significantly, particularly in the middle reaches of the North Passage (<xref ref-type="fig" rid="f9">
<bold>Figure&#xa0;9</bold>
</xref>). This enhancement facilitated the redistribution of sediment trapped around the saltwater intrusion limit, promoting both upstream and downstream sediment transport. Spatial lag effects and dispersive flux emerged as critical mechanisms facilitating this sediment divergence.</p>
<p>Hydrodynamic changes induced by the DWP produced pronounced along-estuary velocity gradients. The greatest flow velocities and hydrodynamic energy were observed in the middle reaches (between stations CS4 and CS6), while velocities diminished upstream and downstream (<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4g</bold>
</xref>). This uneven velocity distribution generated spatial lag effects, where sediment transport preferentially occurred from regions of higher energy to lower energy zones, resulting in sediment redistribution both seaward and landward (<xref ref-type="bibr" rid="B18">Friedrichs, 2011</xref>; <xref ref-type="bibr" rid="B19">Gatto et&#xa0;al., 2017</xref>). Consequently, this process actively contributed to ETM elongation and persistence.</p>
<p>In parallel, sediment trapping driven by estuarine circulation enhanced SSC in the mid-estuarine regions, producing significant along-channel SSC gradients (<xref ref-type="fig" rid="f10">
<bold>Figure&#xa0;10b</bold>
</xref>). These gradients reached values as high as 1.0 kg/m<sup>4</sup>, elevating the significance of horizontal diffusion, often considered negligible in simpler tidal basins (<xref ref-type="bibr" rid="B53">Pritchard, 2005</xref>; <xref ref-type="bibr" rid="B19">Gatto et&#xa0;al., 2017</xref>). Horizontal diffusion, driven by strong SSC gradients, induced net dispersive sediment fluxes from high-concentration zones towards lower-concentration areas, contributing further to the bidirectional ETM extension.</p>
<p>Quantifying the precise contribution of horizontal diffusion to sediment transport with field data alone remains challenging due to spatial and temporal resolution limitations. Common analytical methods for estimating horizontal diffusion include the gradient-flux approach, involving detailed field measurements of velocity and concentration gradients (<xref ref-type="bibr" rid="B21">Geyer and Nepf, 1996</xref>; <xref ref-type="bibr" rid="B57">Ralston and Stacey, 2007</xref>), or numerical modeling techniques capable of directly simulating advective and diffusive fluxes under controlled conditions (<xref ref-type="bibr" rid="B3">Burchard et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B55">Ralston and Geyer, 2019</xref>). Such numerical modeling approaches, integrating hydrodynamics with sediment transport modules, have been successfully applied in other estuaries (<xref ref-type="bibr" rid="B56">Ralston et&#xa0;al., 2012</xref>; <xref ref-type="bibr" rid="B32">Jal&#xf3;n-Rojas et&#xa0;al., 2021</xref>) and are highly recommended for future research on the Changjiang Estuary. These models could explicitly quantify the horizontal diffusion term, distinguishing its relative importance alongside advective and gravitational circulation-driven fluxes, thus offering a more comprehensive understanding of sediment dynamics within engineered estuaries.</p>
<p>Overall, spatial lag effects by velocity gradients and dispersive flux driven by SSC gradients were critical to the ETM expansion following the DWP. These processes effectively redistributed sediments both landward and seaward, underpinning the elongation and intensification of the ETM. A conceptual overview of these mechanisms and their interactions within the modified North Passage is summarized in <xref ref-type="fig" rid="f12">
<bold>Figure&#xa0;12</bold>
</xref>.</p>
<fig id="f12" position="float">
<label>Figure&#xa0;12</label>
<caption>
<p>The cause-and-effect flow chart illustrates sediment transport and estuarine turbidity maximum (ETM) evolution in response to channel deepening and narrowing in the North Passage.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g012.tif"/>
</fig>
</sec>
<sec id="s5_4">
<label>5.4</label>
<title>Impacts of declined fluvial sediment supply</title>
<p>In addition to the impacts of the DWP, the declined fluvial sediment supply can trigger substantial regime shifts in estuarine hydrodynamics, sediment dynamics and morphology (<xref ref-type="bibr" rid="B48">Luo et&#xa0;al., 2012</xref>, <xref ref-type="bibr" rid="B47">2022</xref>; <xref ref-type="bibr" rid="B73">Wang et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B24">Guo et&#xa0;al., 2021b</xref>; <xref ref-type="bibr" rid="B46">Luan et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B94">Zhu et&#xa0;al., 2021a</xref>). A disruption in the sediment balance, resulting from reduced riverine input, potentially prompts increased sediment import from marine sources, influencing the ETM evolution. The sediment load at Datong has decreased by ~70% from the 1980s through the 2010s (<xref ref-type="bibr" rid="B26">Guo et&#xa0;al., 2019</xref>). Nonetheless, the Changjiang Estuary exhibits a delayed response to this dramatic sediment decline due to sediment replenishment from downstream channel erosion and the estuarine buffering capacity (<xref ref-type="bibr" rid="B93">Zhu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B30">Guo et&#xa0;al., 2021a</xref>). Spatial variability in estuarine SSC responses further complicates this picture. For example, at Xuliujing, located near the upstream entrance of the estuary, surface SSC remained relatively stable until 2010, after which it began to decline (<xref ref-type="bibr" rid="B5">Chen et&#xa0;al., 2022</xref>). Conversely, in the ETM region, bathymetric changes showed an approximate 30-year lag relative to riverine sediment reductions, excluding the effects of dredging associated with the DWP (<xref ref-type="bibr" rid="B93">Zhu et&#xa0;al., 2019</xref>). Surface SSC in the ETM region declined since the early 2000s, corresponding with a roughly 20% reduction in the spatial extent of ETM (<xref ref-type="bibr" rid="B34">Jiang et&#xa0;al., 2013b</xref>; <xref ref-type="bibr" rid="B47">Luo et&#xa0;al., 2022</xref>). This reduction became particularly pronounced post-DWP, as increased stratification suppressed vertical mixing, limiting sediment transport into upper water layers (<xref ref-type="fig" rid="f6">
<bold>Figure&#xa0;6</bold>
</xref>).</p>
<p>However, despite the significant drop in fluvial sediment load, the near-bed SSC markedly increased in the North Passage, rising from a few kg/m<sup>3</sup> in the 1990s to tens of kg/m<sup>3</sup> in the 2010s (<xref ref-type="bibr" rid="B71">Wan and Zhao, 2017</xref>; <xref ref-type="bibr" rid="B20">Ge et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B38">Lin et&#xa0;al., 2020</xref>, <xref ref-type="bibr" rid="B39">2021</xref>). This unexpected increase in SSC under reduced riverine sediment supply highlights the critical role of marine-derived sediments, primarily sourced from local and delta-front erosion (<xref ref-type="bibr" rid="B97">Zhu et&#xa0;al., 2016</xref>, <xref ref-type="bibr" rid="B93">2019</xref>). The correlation between decreased riverine sediment load and increased siltation since the DWP is evident from the temporal comparison of sediment load at Datong Station and annual siltation volumes within the North Passage (<xref ref-type="fig" rid="f13">
<bold>Figure&#xa0;13</bold>
</xref>). Marine sediment supply, therefore, emerges as a key contributor to the observed hyper-turbidity and ETM expansion in the North Passage post-DWP.</p>
<fig id="f13" position="float">
<label>Figure&#xa0;13</label>
<caption>
<p>Annual sediment load at Datong Station and annual siltation in the North Passage (2000~2023).</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-12-1598417-g013.tif"/>
</fig>
<p>These observations imply that, while the DWP predominantly altered hydrodynamics and sediment transport from 1999 to 2012, the ongoing sediment reductions from upstream must be carefully considered in long-term predictions of hydrodynamic conditions and ETM evolution. Future numerical modeling studies should aim to explicitly differentiate and quantify the individual effects of declining fluvial sediment supply and anthropogenic interventions such as the DWP.</p>
</sec>
<sec id="s5_5">
<label>5.5</label>
<title>Limitations and implications</title>
<p>This study sheds light on how channel deepening and narrowing alter estuarine circulation, stratification, and sediment transport. However, our analysis has several limitations. First, parameters such as water depth (<inline-formula>
<mml:math display="inline" id="im65">
<mml:mi>H</mml:mi>
</mml:math>
</inline-formula>), eddy viscosity (<inline-formula>
<mml:math display="inline" id="im66">
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>M</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), and along-channel salinity gradient (<inline-formula>
<mml:math display="inline" id="im67">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>S</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>) employed in our calculations represent cross-sectionally and tidally averaged values. The direct measurements analyzed in this study were collected primarily from the main navigation channel, assuming representativeness for the whole cross-section. Although this assumption is reasonable given the relatively uniform characteristics of the North Passage (~10 m depth and 7 km width, <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref>), a more precise quantification would necessitate numerical models that capture full cross-sectional variability. Recent modeling studies have highlighted the profound effect of deepening on estuarine dynamics (e.g., along-estuary salinity gradient, stratification, estuarine circulation, and sediment transport), emphasizing the need for such detailed simulations (<xref ref-type="bibr" rid="B32">Jal&#xf3;n-Rojas et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B22">Grasso and Caillaud, 2023</xref>; <xref ref-type="bibr" rid="B13">Dijkstra and de Goede, 2024</xref>). Moreover, future modeling efforts should explore differential responses of sediment transport between the main channel and shallow shoals, improving our understanding of the impact of channel modifications.</p>
<p>Second, the friction velocity (<inline-formula>
<mml:math display="inline" id="im68">
<mml:mrow>
<mml:msub>
<mml:mi>u</mml:mi>
<mml:mo>*</mml:mo>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), a key parameter in eddy viscosity estimation, was obtained by fitting the von K&#xe1;rm&#xe1;n-Prandtl velocity profile based on flow velocities measured at six relative depth layers. This approach likely overestimates friction velocities under significant sediment-induced stratification (<xref ref-type="bibr" rid="B80">Wright et&#xa0;al., 1999</xref>; <xref ref-type="bibr" rid="B35">Kim et&#xa0;al., 2000</xref>). The pronounced sediment-induced stratification at CS6 and CS8 suggests our eddy viscosity estimates may be inflated, consequently underestimating estuarine circulation. Future work should employ advanced turbulence methods, such as the turbulent kinetic energy method (<xref ref-type="bibr" rid="B35">Kim et&#xa0;al., 2000</xref>; <xref ref-type="bibr" rid="B39">Lin et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B90">Zhou et&#xa0;al., 2025</xref>), requiring high-frequency near-bed velocity measurements to enhance accuracy.</p>
<p>Additionally, a critical limitation arises from the absence of bottom sediment data during the survey periods. Observations from other studies indicate a shift towards finer sediment after the DWP, despite declining fluvial sediment supply. Specifically, bottom sediment grain sizes decreased from 69 &#x3bc;m in 1982 to 44~60 &#x3bc;m in 2003, and further to 10~25 &#x3bc;m in 2015 (<xref ref-type="bibr" rid="B44">Lou, 2005</xref>; <xref ref-type="bibr" rid="B41">Liu et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B54">Qiao et&#xa0;al., 2020</xref>); concurrently, suspended sediment grain sizes declined from 6.8 &#x3bc;m (pre-DWP) to 5.3 &#x3bc;m (post-DWP) (<xref ref-type="bibr" rid="B6">Chen et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B85">Yu et&#xa0;al., 2021</xref>). These grain size changes suggest shifts in sediment sources and increased marine sediment input. The feedback between bottom sediment properties and hydrodynamic variations, particularly under varying width-depth conditions, remains underexplored and represents an important research direction. Numerical modeling studies are particularly recommended to investigate these feedback mechanisms, further elucidating sediment transport processes.</p>
<p>This study demonstrates that enhanced estuarine circulation is the dominant driver of sediment import from the ocean following channel deepening and narrowing in a relatively river-dominated estuary. Intensified circulation significantly promotes sediment trapping at the saltwater intrusion limit, forming a positive feedback loop involving intensified flow velocity, increased stratification, turbulence damping, and hindered settling. This feedback loop results in extremely high near-bed SSCs, reducing benthic light penetration and contributing to hypoxia (low oxygen levels) conditions detrimental to estuarine ecology (<xref ref-type="bibr" rid="B63">Talke et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B77">Winterwerp et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B58">Schmidt et&#xa0;al., 2019</xref>). Furthermore, elevated SSCs increase channel siltation, necessitating frequent maintenance dredging with substantial economic implications (<xref ref-type="bibr" rid="B42">Liu et&#xa0;al., 2011a</xref>, <xref ref-type="bibr" rid="B40">2019</xref>; <xref ref-type="bibr" rid="B12">de Nijs and Pietrzak, 2012</xref>). Thus, integrated management strategies balancing ecological and navigational requirements are critically important in engineered estuaries.</p>
<p>Finally, our findings underscore the critical influence of channel width on estuarine stratification, circulation, and sediment transport. Contrary to initial expectations of enhanced sediment flushing through narrowing (as commonly observed in river systems), narrowing by the DWP in the North Passage increased sediment import via intensified estuarine circulation and stratification. Strengthened stratification promotes near-bed sediment trapping and the formation of concentrated benthic suspensions, which are transported landward by intensified near-bed inflows. Although narrowing enhanced sediment export driven by barotropic flows, the stronger estuarine circulation-induced sediment import ultimately led to net sediment convergence at the saltwater intrusion limit. As a result, post-DWP siltation rates (120 Mt) far exceeded initial predictions (30 Mt) (<xref ref-type="bibr" rid="B70">Wan, 2015</xref>; <xref ref-type="bibr" rid="B40">Liu et&#xa0;al., 2019</xref>). Similar width-controlled sediment transport dynamics, albeit predominantly via tidal pumping, have been observed in tide-dominated estuaries such as the Ems Estuary (<xref ref-type="bibr" rid="B67">van Maren et&#xa0;al., 2016</xref>) and the North Branch of the Changjiang Estuary (<xref ref-type="bibr" rid="B29">Guo et&#xa0;al., 2022</xref>). Thus, estuary width emerges as a universal critical parameter controlling sediment transport processes, albeit through differing mechanisms depending on the dominance of river discharge or tidal forces.</p>
<p>The sediment import mechanisms in engineered estuaries fundamentally depend on the relative influence of river discharge versus tidal forcing, which can be systematically characterized using the dimensionless Canter-Cremers number (<italic>N</italic>). In tide-dominated estuaries with small <italic>N</italic> values (e.g., Ems Estuary, <italic>N</italic> &#x2248; 0.005), tidal pumping predominantly drives sediment import, supported by strong tidal asymmetries and sediment-induced drag reduction (<xref ref-type="bibr" rid="B76">Winterwerp, 2011</xref>; <xref ref-type="bibr" rid="B69">van Maren et&#xa0;al., 2015b</xref>; <xref ref-type="bibr" rid="B15">Dijkstra et&#xa0;al., 2019b</xref>). Conversely, in river-dominated estuaries such as the Changjiang Estuary (<italic>N</italic> &#x2248; 0.5), sediment import primarily occurs through enhanced estuarine circulation triggered by deepening and narrowing. In these systems, gravitational circulation significantly outweighs tidal pumping in transporting sediment landward. These contrasting mechanisms underscore the complexity and diversity of estuarine responses to engineering interventions. Future global analyses are needed to comprehensively categorize estuaries across a spectrum of <italic>N</italic> values, systematically comparing sediment dynamics and regime shifts to support better-informed management strategies.</p>
</sec>
</sec>
<sec id="s6" sec-type="conclusions">
<label>6</label>
<title>Conclusions</title>
<p>This study investigated the effects of channel deepening and narrowing on estuarine circulation, stratification, and sediment transport in the North Passage of the Changjiang Estuary. Our findings emphasize the crucial role of estuarine circulation and highlight the unexpected impacts of channel narrowing on sediment dynamics.</p>
<list list-type="order">
<list-item>
<p>Deepening enhances estuarine circulation and sediment import. Increased water depth due to deepening strengthened the two-layer estuarine circulation by enhancing landward near-bed flow, promoting oceanic sediment import and intensified sediment trapping at the saltwater intrusion limit.</p>
</list-item>
<list-item>
<p>Narrowing modifies salinity gradients and strengthens stratification. While deepening alone typically extends salt intrusion, concurrent narrowing imposed by hydraulic structures counteracted this effect. Enhanced hydraulic friction restricted salt intrusion and steepened the salinity gradients, particularly near the estuary mouth, which intensified stratification, suppressed vertical mixing, and reinforced estuarine circulation.</p>
</list-item>
<list-item>
<p>Stronger stratification enhances near-bed sediment trapping. Enhanced stratification suppressed turbulent mixing, facilitating concentrated benthic suspensions. The strengthened estuarine circulation subsequently transported these suspensions landward, maintaining elevated SSC at the saltwater intrusion limit.</p>
</list-item>
<list-item>
<p>Tidal pumping extends the ETM. Hydrodynamic changes following channel modifications intensified tidal pumping, especially in mid-estuary regions. Enhanced velocity gradients and spatial lag effects promoted sediment transport from high-energy to low-energy zones, extending the ETM.</p>
</list-item>
</list>
<p>These findings underscore the complex interplay between deepening, narrowing, and sediment dynamics. Contrary to expectations that narrowing might enhance sediment flushing, our results show it increased estuarine circulation and sediment trapping, leading to greater siltation. Similar processes observed in estuaries such as the Ems Estuary and the North Branch of the Changjiang Estuary further indicate that estuarine width is critical, with distinct mechanisms (estuarine circulation or tidal pumping) dominating in river- and tide-dominated systems, respectively.</p>
<p>The insights from this study have valuable implications for estuarine management and highlight the need for careful consideration of channel modifications. Future work employing high-resolution numerical modeling is recommended to quantify spatially detailed hydrodynamic and sediment processes and assess long-term morphological evolution resulting from ongoing estuarine interventions.</p>
</sec>
</body>
<back>
<sec id="s7" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author contributions</title>
<p>JL: Formal analysis, Writing &#x2013; original draft, Visualization, Methodology, Funding acquisition, Conceptualization. Bv: Supervision, Writing &#x2013; review &amp; editing. CZ: Formal analysis, Writing &#x2013; review &amp; editing. LG: Formal analysis, Writing &#x2013; review &amp; editing. QH: Supervision, Project administration, Conceptualization, Writing &#x2013; review &amp; editing. ZW: Project administration, Writing &#x2013; review &amp; editing, Supervision. QY: Writing &#x2013; review &amp; editing.</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. This study is supported by the National Nature Science Foundation of China (No. 42406159; U2040216), the Science and Technology Commission of Shanghai Municipality (No. 21230750600), and the project &#x201c;Coping with Deltas in Transition&#x201d; funded by the Ministry of Science and Technology of the People&#x2019;s Republic of China (No. 2016YFE0133700) and the Royal Netherlands Academy of Arts and Sciences (KNAW, No. PSA-SA-E-02) within the Program of Strategic Scientific Alliance between China and the Netherlands.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>Johan C. Winterwerp and Dirk Sebastiaan van Maren are acknowledged for their insightful comments and constructive suggestions.</p>
</ack>
<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&#xa0;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>
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