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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Water</journal-id>
<journal-title>Frontiers in Water</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Water</abbrev-journal-title>
<issn pub-type="epub">2624-9375</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/frwa.2022.846438</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Water</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Natural Sources and Anthropogenic Influences on the River Water and Groundwater Chemistry of the Lower Mahanadi Basin: Insights From Radiogenic Sr Isotopes and Major Ion Chemistry</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Acharya</surname> <given-names>Shiba Shankar</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<xref ref-type="author-notes" rid="fn002"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1467220/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Hishamunda</surname> <given-names>Valens</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="author-notes" rid="fn003"><sup>&#x02020;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1669460/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Chakrabarti</surname> <given-names>Ramananda</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Centre for Earth Sciences, Indian Institute of Science</institution>, <addr-line>Bangalore</addr-line>, <country>India</country></aff>
<aff id="aff2"><sup>2</sup><institution>Interdisciplinary Centre for Water Research, Indian Institute of Science</institution>, <addr-line>Bangalore</addr-line>, <country>India</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Soumendra Nath Bhanja, Oak Ridge National Laboratory (DOE), United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: K. Sreelash, National Centre for Earth Science Studies, India; H. M. Zakir Hossain, Jashore University of Science and Technology, Bangladesh</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Shiba Shankar Acharya <email>shiba.geology&#x00040;gmail.com</email>; <email>shiba.geol&#x00040;presiuniv.ac.in</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Water and Climate, a section of the journal Frontiers in Water</p></fn>
<fn fn-type="present-address" id="fn002"><p>&#x02020;Present addresses: Shiba Shankar Acharya, Department of Geology, Presidency University, Kolkata, India</p></fn>
<fn fn-type="present-address" id="fn003"><p>Valens Hishamunda, Water Resources Sciences and Technology, Texas A&#x00026;M University, San Antonio, TX, United States</p></fn></author-notes>
<pub-date pub-type="epub">
<day>19</day>
<month>04</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>4</volume>
<elocation-id>846438</elocation-id>
<history>
<date date-type="received">
<day>31</day>
<month>12</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>25</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Acharya, Hishamunda and Chakrabarti.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Acharya, Hishamunda and Chakrabarti</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license> </permissions>
<abstract>
<p>The Mahanadi River ranks second among the rivers in the peninsular India in terms of water potential and flows through a geologically heterogeneous terrain. The present study uses a multiproxy approach, involving concentrations of major ions, and <sup>87</sup>Sr/<sup>86</sup>Sr of the dissolved phases in seasonally collected river water and groundwater samples from the Lower Mahanadi Basin to investigate the sources of ions, the Cl-enrichment in the river water, the influences of the man-made structures like the Naraj Barrage, and the role of fertilizers on the chemistry of the river water. This study also provides the first estimate of the radiogenic Sr-flux of the Mahanadi River to the Bay of Bengal. Both inverse and forward models were used to evaluate the contributions of different sources to the dissolved ions of the Mahanadi River over different seasons. The results suggest that even in the predominantly silicate watershed of the Lower Mahanadi River, the riverine chemistry is modulated primarily by carbonate dissolution farther upstream followed by silicate weathering although, the contributions vary seasonally. The Naraj Barrage, which divides the main channel of the Lower Mahanadi River into several distributaries marks a divide between the less polluted upstream and the more polluted downstream. The radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr of the Mahanadi River water can be explained by mixing of four endmembers: Proterozoic carbonates, Archean silicates, rainwater, and fertilizers. The dominance of agricultural input during monsoon is consistent with high loadings of nitrates and phosphates used as fertilizers in the Mahanadi River basin along with a strong positive relationship between phosphate concentrations and <sup>87</sup>Sr/<sup>86</sup>Sr of the river water samples. The flux-weighted averages of Sr concentration and <sup>87</sup>Sr/<sup>86</sup>Sr to the Bay of Bengal were found to be 1.03 &#x003BC;mol/l and 0.72154, respectively. The groundwater composition of the Lower Mahanadi Basin is modulated by the mixing of four endmembers, viz. weathering of silicate and carbonate rocks, Bay of Bengal seawater, and fertilizer inputs. The groundwater samples of the Mahanadi basin show an average Sr concentration of 5.45 &#x003BC;mol/l and an average <sup>87</sup>Sr/<sup>86</sup>Sr of 0.71772.</p></abstract>
<kwd-group>
<kwd>Mahanadi River</kwd>
<kwd>groundwater</kwd>
<kwd>Sr isotope</kwd>
<kwd>anthropogenic sources</kwd>
<kwd>fertilizer</kwd>
<kwd>seasonal variation</kwd>
</kwd-group>
<contract-sponsor id="cn001">Science and Engineering Research Board<named-content content-type="fundref-id">10.13039/501100001843</named-content></contract-sponsor>
<contract-sponsor id="cn002">Ministry of Earth Sciences<named-content content-type="fundref-id">10.13039/501100001851</named-content></contract-sponsor>
<counts>
<fig-count count="10"/>
<table-count count="2"/>
<equation-count count="24"/>
<ref-count count="68"/>
<page-count count="22"/>
<word-count count="14716"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>The geochemical and isotopic compositions of dissolved and particulate phases in river water carry the imprints of the continental weathering, specifically, the sources of the ions, the rates of chemical weathering of minerals, and fluxes of dissolved materials to the ocean (e.g., Stallard and Edmond, <xref ref-type="bibr" rid="B55">1983</xref>; Gaillardet et al., <xref ref-type="bibr" rid="B25">1999a</xref>; Dalai et al., <xref ref-type="bibr" rid="B18">2002</xref>). The rate of chemical weathering and associated CO<sub>2</sub> consumption depend on several factors like geology of the basin, relief, precipitation, runoff, temperature variation, and vegetation cover (Roy et al., <xref ref-type="bibr" rid="B54">1999</xref>; Dessert et al., <xref ref-type="bibr" rid="B23">2003</xref>; Millot et al., <xref ref-type="bibr" rid="B39">2003</xref>; Bastia and Equeenuddin, <xref ref-type="bibr" rid="B8">2016</xref>). Therefore, each riverine system has a unique mechanism by which it interacts with the bedrocks and modulates the climatic conditions through the weathering of different lithologies. Several studies have investigated the roles of different lithologies to the sources of dissolved ions in rivers and have demonstrated that basalts weather more readily than the other silicate rocks (e.g., Meybeck, <xref ref-type="bibr" rid="B37">1986</xref>; Amiotte Suchet and Probst, <xref ref-type="bibr" rid="B3">1993</xref>; Dessert et al., <xref ref-type="bibr" rid="B22">2001</xref>; Amiotte Suchet et al., <xref ref-type="bibr" rid="B2">2003</xref>). However, by coupling the global lithological map with the GEM-CO<sub>2</sub> model, Amiotte Suchet et al. (<xref ref-type="bibr" rid="B2">2003</xref>) estimated that the dissolution of carbonates and the erosion of shales consume 80% of the total CO<sub>2</sub> uptake by continental weathering process, which is significantly higher than the uptake by the weathering of volcanic rocks (8%).</p>
<p>The Mahanadi River ranks second among the rivers in the peninsular India in terms of water potential (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B8">2016</xref>) and flows through a geologically heterogeneous terrain (Chakrapani and Subramanian, <xref ref-type="bibr" rid="B14">1990</xref>; <xref ref-type="fig" rid="F1">Figure 1A</xref>). Earlier studies on the Mahanadi River have attempted to understand the sources of ions (Chakrapani and Subramanian, <xref ref-type="bibr" rid="B14">1990</xref>; Panigrahy and Raymahashay, <xref ref-type="bibr" rid="B47">2005</xref>; Bastia and Equeenuddin, <xref ref-type="bibr" rid="B8">2016</xref>, <xref ref-type="bibr" rid="B7">2019</xref>; Bastia et al., <xref ref-type="bibr" rid="B6">2020</xref>) and associated chemical weathering rates (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B7">2019</xref>). However, the results of these studies have been interpreted very differently in terms of the sources of ions and the extent of anthropogenic contribution to the major element budgets. Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) as well as Panigrahy and Raymahashay (<xref ref-type="bibr" rid="B47">2005</xref>) suggested the dominance of carbonate rock weathering on the water chemistry of the Mahanadi River which contrasts with the recent study of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>), who suggested that silicate weathering is the dominant process that controls the major ion chemistry of this river with limited contribution from the carbonate weathering. Interestingly, Panigrahy and Raymahashay (<xref ref-type="bibr" rid="B47">2005</xref>) argued that carbonate weathering dominates the water chemistry even in the downstream portion of the river, which is beyond the limestone terrain in this basin (<xref ref-type="fig" rid="F1">Figure 1A</xref>). Another discrepancy in the published results is the drastically different Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> molar ratios reported for the Mahanadi River water samples. Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) reported high (average = 1.39 &#x000B1; 1.01) Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> molar ratios which cannot be explained by simple mixing between sea salt (Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> = 1.16) and halite (Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> = 1), which are the most common sources of Cl<sup>&#x02212;</sup> in rivers. In contrast, Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) reported much lower Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> values (average = 0.46 &#x000B1; 0.17) for the Mahanadi River. Additionally, the effect of the Naraj Barrage (<xref ref-type="fig" rid="F1">Figure 1B</xref>), beyond which, the Mahanadi River segregates into several distributaries to form a coastal delta, on the chemical composition of the river water has never been explored. Furthermore, the contribution of groundwater to the Mahanadi River water chemistry has been speculated by both Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) as well as by Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>), but not studied systematically.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>(A)</bold> Geological Drainage map of the Mahanadi River Basin of eastern India showing the various bedrock lithologies (modified after Panigrahy and Raymahashay, <xref ref-type="bibr" rid="B47">2005</xref>). Also shown is the location of the Hirakud Dam. <bold>(B)</bold> Map showing sampling locations of Mahanadi River water and groundwater during different seasons. While river water samples (circles) were collected during pre-monsoon (red), monsoon (green), and post-monsoon (blue) seasons, groundwater samples (triangles) were collected only during pre-monsoon (red) and monsoon (green). Also shown is the location of the Naraj Barrage.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0001.tif"/>
</fig>
<p>In this study, river water and groundwater samples from the Lower Mahanadi Basin were collected over a distance of &#x0007E;490 km downstream from the Hirakud Dam (<xref ref-type="fig" rid="F1">Figure 1B</xref>) during three different seasons. The present study focuses on the spatio-temporal variations in the concentrations of the dissolved ions and mechanisms that control their distributions. Unlike the previous studies, this study uses both the forward and inverse modeling approach to decipher the contributions of different sources to the Mahanadi River water composition across different seasons. Additionally, the present study also documents the spatial and seasonal variations in the radiogenic Sr-isotopic compositions of the Mahanadi River. To the best of our knowledge, this study provides the first estimate of the radiogenic Sr flux of the Mahanadi River to the global ocean and the <sup>87</sup>Sr/<sup>86</sup>Sr signatures of groundwater from the Mahanadi basin. Furthermore, the effect of the Naraj Barrage on the geochemistry of the river and the chemical interaction of groundwater and river water in the deltaic part of the basin have also been investigated. Overall, this study provides deeper insights into the processes that occur in a drainage basin, establishes the criteria to differentiate the major sources of ions in a heterogeneous geological terrain, and investigates the role of a man-made barrage on the river water chemistry.</p></sec>
<sec id="s2">
<title>Study Area</title>
<p>The Mahanadi River Basin is the 8th largest river basin in India that extends over an area of about 141,600 km<sup>2</sup> (CWC, <xref ref-type="bibr" rid="B17">2014</xref>; <xref ref-type="fig" rid="F1">Figure 1A</xref>). It flows eastward over a distance of &#x0007E;850 km and finally drains into the Bay of Bengal (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B8">2016</xref>, <xref ref-type="bibr" rid="B7">2019</xref>). The Hirakud Dam controls the flow of the Mahanadi from the upper catchment into the downstream part of the river. Downstream of the Naraj Barrage (<xref ref-type="fig" rid="F1">Figure 1B</xref>), the Mahanadi River forms a delta by segregating into several distributaries and channels. The bed rock lithology in this basin primarily consists of Precambrian granites, khondalites, charnockites, and gneiss, Proterozoic limestones and shales, Gondwana-age sandstones, shales and conglomerates and recent laterites and deltaic alluvium (Chakrapani and Subramanian, <xref ref-type="bibr" rid="B14">1990</xref>; Panigrahy and Raymahashay, <xref ref-type="bibr" rid="B47">2005</xref>; Bastia and Equeenuddin, <xref ref-type="bibr" rid="B7">2019</xref>; Bastia et al., <xref ref-type="bibr" rid="B6">2020</xref>). The basin is characterized by a tropical climate with average annual rainfall ranging from 1,200 to 1,400 mm. Although, the rainfall occurs in spells of varying intensities and durations, more than 90% of the total precipitation occurs during the monsoon season that commences in June and lasts till October (CWC, <xref ref-type="bibr" rid="B17">2014</xref>). The Mahanadi Basin is divided into three sub-basins namely the Upper (21.34%), Middle (37.16%), and Lower Mahanadi (41.5%). In the present study, the Lower Mahanadi Basin has been investigated, which covers an area of about 57,960 km<sup>2</sup>.</p></sec>
<sec sec-type="methods" id="s3">
<title>Methodology</title>
<sec>
<title>Materials and Methods</title>
<p>River water samples were collected from the Lower Mahanadi Basin during May-June 2017, September-October 2017, and February 2018, during the pre-monsoon, monsoon, and post-monsoon seasons, respectively (<xref ref-type="fig" rid="F1">Figure 1B</xref>). River water samples were collected from the midstream at a depth of approximately 2 feet from the surface. The groundwater samples were collected from the tube-wells adjacent to the river channels during pre-monsoon and monsoon seasons mostly from the Mahanadi deltaic region (<xref ref-type="fig" rid="F1">Figure 1B</xref>). River water as well as the groundwater samples were filtered through 0.22 &#x003BC;m Millipore&#x000AE; cellulose nitrate filters. On-site, measurements of physical parameters such as temperature, pH, and electrical conductivity (EC) were performed using a portable Eutech (PCSTestr 35) multiparameter probe. The precision of the temperature measurements is &#x000B1; 0.5&#x000B0;C, that of EC is &#x000B1; 1% and that of pH is &#x000B1; 0.01 units. The filtered water samples were stored in pre-cleaned high-density polyethylene (HDPE) bottles for chemical and isotopic analyses. Alkalinity of filtered samples was measured by acid titration (with 0.15 N HCl, end point at pH = 4.30). The filtered samples were split into two aliquots in the field. One fraction was not acidified and used for the anion analyses (F<sup>&#x02212;</sup>, Cl<sup>&#x02212;</sup>, <inline-formula><mml:math id="M1"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, <inline-formula><mml:math id="M2"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and <inline-formula><mml:math id="M3"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) by ion chromatography (Metrohm 861) at the Indo-French Cell for Water Sciences, Indian Institute of Science (IISc), Bangalore. The quality of the analysis was checked using international standards ION 915 and ION 96.4. The uncertainties in the concentrations of all the ions are within 5% based on multiple measurements of these standards. The second fraction was acidified with double distilled HNO<sub>3</sub> to pH &#x0007E;2 and was used for the analyses of major cations and trace elements (Sr and Rb) using an Inductively Coupled Plasma Mass Spectrometer (ICPMS, Thermo Scientific X-Series II) at the Center for Earth Sciences (CEaS), IISc. The accuracy of the data measured by ICPMS was tested by analyzing USGS rock standards AGV-2 and one custom matrix matched multi-ion standard interspersed with the samples. The uncertainties of these measurements for most elements are better than 5%. Reproducibility of measurements for various cations and anions were determined by multiple repeat analyses of both samples and standards. These repeat measurements indicate that the precision of the reported data is better than &#x000B1; 5%. For Sr-isotopic measurements, Sr was separated from a known volume of filtered and acidified water sample containing about 2 &#x003BC;g of Sr using cation-exchange chromatography following established protocols (Banerjee et al., <xref ref-type="bibr" rid="B5">2016</xref>). The purified Sr was loaded on a single degassed Ta filament and measured using a thermal ionization mass spectrometer (TIMS, Thermo Scientific Triton Plus) at CEaS, IISc. The measured <sup>87</sup>Sr/<sup>86</sup>Sr ratios were corrected for instrumental mass fractionation using an exponential law and <sup>86</sup>Sr/<sup>88</sup>Sr = 0.1194. The uncertainty in the measured <sup>87</sup>Sr/<sup>86</sup>Sr was better than 9 ppm (internal precision) representing 2&#x003C3; of the mean. The NIST SRM 987 Sr isotopic standard analyzed during this study yielded <sup>87</sup>Sr/<sup>86</sup>Sr = 0.710264 &#x000B1; 15 (2SD, <italic>n</italic> = 17). Additional technical details of the geochemical and isotopic measurements are described in Banerjee et al. (<xref ref-type="bibr" rid="B5">2016</xref>).</p></sec>
<sec>
<title>Data Processing</title>
<sec>
<title>Charge Balance</title>
<p>The total cationic (TZ<sup>&#x0002B;</sup>) and anionic (TZ<sup>&#x02212;</sup>) charge of samples were determined based on the following equations:
<disp-formula id="E1"><label>(1)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E2"><label>(2)</label><mml:math id="M5"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>3</mml:mn><mml:mi>P</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
The balance between these charges were determined using normalized inorganic charge balance (NICB) (e.g., Dalai et al., <xref ref-type="bibr" rid="B18">2002</xref>), where
<disp-formula id="E4"><label>(3)</label><mml:math id="M7"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>N</mml:mi><mml:mi>I</mml:mi><mml:mi>C</mml:mi><mml:mi>B</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>%</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi>T</mml:mi><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:msup><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>100</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula></p></sec>
<sec>
<title>Pollution Index</title>
<p>The impact of anthropogenic activities on the dissolved load was evaluated using the pollution index as proposed by Pacheco and van der Weijden (<xref ref-type="bibr" rid="B46">1996</xref>), which is based on the molar concentration of <inline-formula><mml:math id="M8"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, <inline-formula><mml:math id="M9"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, and Cl<sup>&#x02212;</sup> ions that are sensitive to human activities. Pollution index was calculated using the following equation:
<disp-formula id="E5"><label>(4)</label><mml:math id="M10"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mi>l</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>%</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>100</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where, all concentrations are expressed in &#x003BC;mol/l.</p></sec>
<sec>
<title>Silicate and Carbonate Fractions</title>
<p>In the present study, the relative contributions of the different sources of the dissolved ions to the Mahanadi River have been evaluated based on both forward and inverse models. The key difference between these two models is that in the forward model the release ratios of various major ions from the sources to the rivers is assumed, whereas in the inverse model, the best fit derived from the iteration of measured data gives the different source contributions.</p>
<p>The forward modeling approach assumes that the atmospheric and halite corrected fractions of the measured Na and K are derived from silicate weathering (Moon et al., <xref ref-type="bibr" rid="B42">2007</xref>). The atmospheric input correction of ions (X<sup>&#x0002A;</sup>) has been evaluated using the following equation:
<disp-formula id="E6"><label>(5)</label><mml:math id="M11"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msubsup><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>a</mml:mi><mml:mi>w</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>l</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where, (X/Cl) <sub>seawater</sub> is the Cl<sup>&#x02212;</sup> normalized element (X) ratio in the seawater. This correction assumes that atmospheric input has a sea salt-like composition, where the Cl<sup>&#x02212;</sup> content would only come from the seawater (Meunier et al., <xref ref-type="bibr" rid="B36">2015</xref> and references therein). Applying this marine component dominated correction to the dissolved load of the Mahanadi River implies that excesses of Na, Ca, Mg, K, and Sr in rainwater, that will originate within the drainage basin itself, are derived from the continental weathering flux (Gaillardet et al., <xref ref-type="bibr" rid="B26">1997</xref>).</p>
<p>The carbonate (carb) (&#x02211;Cat<sub>carb</sub>) and silicate (sil) (&#x02211;Cat<sub>sil</sub>) contributions were calculated on an equivalent basis following the approach of Galy and France-Lanord (<xref ref-type="bibr" rid="B28">1999</xref>) and Quade et al. (<xref ref-type="bibr" rid="B50">2003</xref>) using the equations listed below.
<disp-formula id="E7"><label>(6)</label><mml:math id="M12"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mo>&#x003A3;</mml:mo><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>%</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:mn>100</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E8"><label>(7)</label><mml:math id="M13"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mo>&#x003A3;</mml:mo><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:msub><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>%</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msup><mml:mrow><mml:mn>2</mml:mn><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:mfrac><mml:mo>&#x000D7;</mml:mo><mml:mn>100</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
In these equations (Equations 6, 7).
<disp-formula id="E9"><label>(8)</label><mml:math id="M14"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E10"><label>(9)</label><mml:math id="M15"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E11"><label>(10)</label><mml:math id="M16"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>C</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E12"><label>(11)</label><mml:math id="M17"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>M</mml:mi><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000D7;</mml:mo><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where, (Ca/Na)<sub>sil</sub> and (Mg/Na)<sub>sil</sub> are the molar ratios of Ca/Na and Mg/Na released to the river water from chemical weathering of silicates in the drainage basin. In the present study, the chemical compositions of the river bed sediments of Tel, Ib, and Ong tributaries of the Mahanadi River (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B7">2019</xref>) traversing only through monolithic silicate terrains have been used to estimate (Ca/Na)<sub>sil</sub> and (Mg/Na)<sub>sil</sub>.</p>
<p>The Ca and Mg contributions from carbonates were determined as the difference between the cyclic salt corrected ions and the silicate fractions.
<disp-formula id="E13"><label>(12)</label><mml:math id="M18"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E14"><label>(13)</label><mml:math id="M19"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>M</mml:mi><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>r</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi>M</mml:mi><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
The inverse model calculates the contributions from different sources based on the mass balance equations of Na-normalized elemental ratios of specific ions (X e.g., Cl<sup>&#x02212;</sup>, Ca<sup>2&#x0002B;</sup>, Mg<sup>2&#x0002B;</sup>, <inline-formula><mml:math id="M20"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, Sr, and <inline-formula><mml:math id="M21"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>). The mass balance equations can be expressed as,
<disp-formula id="E15"><label>(14)</label><mml:math id="M22"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E16"><label>(15)</label><mml:math id="M23"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>87</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>86</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>i</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>87</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow></mml:mrow><mml:mrow><mml:mn>86</mml:mn></mml:mrow></mml:msup><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>S</mml:mi><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E17"><label>(16)</label><mml:math id="M24"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mstyle displaystyle="true"><mml:munder class="msub"><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:munder></mml:mstyle><mml:msub><mml:mrow><mml:mi>&#x003B1;</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where the subscript i indicates the four endmembers: rain, silicate, carbonate and agriculture; (X/Na)<sub>i</sub> represents the Na-normalized ratios of the four endmembers, and &#x003B1;<sub>i,Na</sub> represents the mixing proportions of Na from these sources. The a priori ranges of (X/Na)<sub>I</sub> are listed in <xref ref-type="table" rid="T2">Table 2</xref> while the best a posteriori values of (X/Na)<sub>i</sub> and &#x003B1;<sub>i,Na</sub> have been calculated iteratively by minimizing the reduced chi-squared misfits using the Microsoft Excel Solver. The present approach is adopted from Moon et al. (<xref ref-type="bibr" rid="B41">2014</xref>). The model sensitivity was estimated by running the model with two different scenarios: (i) running all the samples together, and (ii) running the seasonal samples separately. The results of this model sensitivity analysis show a variation of maximum 10% in the contributions of sources to the dissolved loads.</p>
</sec>
<sec>
<title>Saturation Indices of Calcite and Dolomite</title>
<p>Saturation indices for calcite (CSI) and dolomite (DSI) at ambient river water temperatures (25&#x000B0;C on average) were calculated with PHREEQC software v. 3.6.2 (Parkhurst and Appelo, <xref ref-type="bibr" rid="B48">2013</xref>) using pH, temperature, and measured solute concentrations as input data and wateq4f.dat as the database.</p></sec></sec></sec>
<sec sec-type="results" id="s4">
<title>Results</title>
<p>A total of 42 river water and 12 groundwater samples, collected over three seasons, were analyzed. The concentrations of major ions and radiogenic Sr isotope ratios (<sup>87</sup>Sr/<sup>86</sup>Sr) of the water samples collected are reported in <xref ref-type="table" rid="T1">Table 1</xref>. The compositions of three river water samples (samples &#x00023; 40, 41, 42) collected from Paradeep (<xref ref-type="fig" rid="F1">Figure 1B</xref>), located at the confluence of the Mahanadi River and Bay of Bengal, show distinctly different compositions, suggesting the influence of seawater. Hence, these samples have not been considered further for any statistical calculations. Additionally, one sample collected during post monsoon (sample &#x00023; 39) also shows anomalous values for all the measured parameters and is hence, excluded from further discussions. The statistical data reported in this article are in the form of average &#x000B1; 1 standard deviation, unless mentioned otherwise.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Sampling details, major ion chemistry, strontium isotopic composition (<sup>87</sup>Sr/<sup>86</sup>Sr), pollution index, Sodium Adsorption Ratio (SAR), and Normalized Inorganic Charge Balance (NICB) in the river water and groundwater samples of the Lower Mahanadi basin.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Samples Code</bold></th>
<th valign="top" align="center"><bold>Date</bold></th>
<th valign="top" align="center"><bold>Distance from coast</bold></th>
<th valign="top" align="center"><bold>pH</bold></th>
<th valign="top" align="center"><bold>EC</bold></th>
<th valign="top" align="center"><bold>Na<sup><bold>&#x0002B;</bold></sup></bold></th>
<th valign="top" align="center"><bold>K<sup><bold>&#x0002B;</bold></sup></bold></th>
<th valign="top" align="center"><bold>Ca<sup><bold>2&#x0002B;</bold></sup></bold></th>
<th valign="top" align="center"><bold>Mg<sup><bold>2&#x0002B;</bold></sup></bold></th>
<th valign="top" align="center"><bold>Si</bold></th>
<th valign="top" align="center"><bold>F<sup><bold>&#x02212;</bold></sup></bold></th>
<th valign="top" align="center"><bold>Cl<sup><bold>&#x02212;</bold></sup></bold></th>
<th valign="top" align="center"><bold><inline-formula><mml:math id="M25"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></bold></th>
<th valign="top" align="center"><bold><inline-formula><mml:math id="M26"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></bold></th>
<th valign="top" align="center"><bold><inline-formula><mml:math id="M27"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></bold></th>
<th valign="top" align="center"><bold><inline-formula><mml:math id="M28"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></bold></th>
<th valign="top" align="center"><bold>Sr</bold></th>
<th valign="top" align="center"><bold>Rb</bold></th>
<th valign="top" align="center"><bold><sup><bold>87</bold></sup>Sr/<sup><bold>86</bold></sup>Sr</bold></th>
<th valign="top" align="center"><bold>Pollution Index</bold></th>
<th valign="top" align="center"><bold>NICB</bold></th>
<th valign="top" align="center"><bold>SAR</bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center"><bold>km</bold></th>
<th/>
<th valign="top" align="center"><bold>&#x003BC;S/cm</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>&#x003BC;mol/l</bold></th>
<th valign="top" align="center"><bold>nmol/l</bold></th>
<th/>
<th valign="top" align="center"><bold>%</bold></th>
<th valign="top" align="center"><bold>%</bold></th>
<th/>
</tr>
</thead>
<tbody>
<tr style="border-bottom: thin solid #000000;">
<td valign="top" align="center" colspan="22"><bold>River water</bold></td>
</tr> <tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">1.06.17</td>
<td valign="top" align="center">343</td>
<td valign="top" align="center">8.6</td>
<td valign="top" align="center">226</td>
<td valign="top" align="center">274</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">475</td>
<td valign="top" align="center">191</td>
<td valign="top" align="center">145</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">134</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">1,538</td>
<td valign="top" align="center">1.05</td>
<td valign="top" align="center">20.78</td>
<td valign="top" align="center">0.717913</td>
<td valign="top" align="center">16.1</td>
<td valign="top" align="center">&#x02212;13</td>
<td valign="top" align="center">11</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">1.10.17</td>
<td valign="top" align="center">343</td>
<td valign="top" align="center">8.6</td>
<td valign="top" align="center">167</td>
<td valign="top" align="center">457</td>
<td valign="top" align="center">47</td>
<td valign="top" align="center">496</td>
<td valign="top" align="center">245</td>
<td valign="top" align="center">215</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">137</td>
<td valign="top" align="center">3.71</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">38</td>
<td valign="top" align="center">1,655</td>
<td valign="top" align="center">1.01</td>
<td valign="top" align="center">15.43</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">11.6</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="center">13.02.18</td>
<td valign="top" align="center">343</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">181</td>
<td valign="top" align="center">329</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">490</td>
<td valign="top" align="center">178</td>
<td valign="top" align="center">134</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">130</td>
<td valign="top" align="center">2.32</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">1,424</td>
<td valign="top" align="center">1.12</td>
<td valign="top" align="center">26.17</td>
<td valign="top" align="center">0.718764</td>
<td valign="top" align="center">18.7</td>
<td valign="top" align="center">&#x02212;4</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="center">1.06.17</td>
<td valign="top" align="center">332</td>
<td valign="top" align="center">9.1</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">304</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">509</td>
<td valign="top" align="center">210</td>
<td valign="top" align="center">146</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">141</td>
<td valign="top" align="center">2.34</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">80</td>
<td valign="top" align="center">1,582</td>
<td valign="top" align="center">1.04</td>
<td valign="top" align="center">21.7</td>
<td valign="top" align="center">0.718035</td>
<td valign="top" align="center">16.1</td>
<td valign="top" align="center">&#x02212;7</td>
<td valign="top" align="center">11</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="center">1.06.17</td>
<td valign="top" align="center">321</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">198</td>
<td valign="top" align="center">325</td>
<td valign="top" align="center">55</td>
<td valign="top" align="center">482</td>
<td valign="top" align="center">215</td>
<td valign="top" align="center">164</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">153</td>
<td valign="top" align="center">0.74</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">1,662</td>
<td valign="top" align="center">1.11</td>
<td valign="top" align="center">22.78</td>
<td valign="top" align="center">0.717952</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">&#x02212;14</td>
<td valign="top" align="center">12</td>
</tr>
<tr>
<td valign="top" align="left">6</td>
<td valign="top" align="center">13.02.18</td>
<td valign="top" align="center">321</td>
<td valign="top" align="center">8.8</td>
<td valign="top" align="center">238</td>
<td valign="top" align="center">537</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">572</td>
<td valign="top" align="center">243</td>
<td valign="top" align="center">117</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">201</td>
<td valign="top" align="center">4.13</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">98</td>
<td valign="top" align="center">1,928</td>
<td valign="top" align="center">1.59</td>
<td valign="top" align="center">28.47</td>
<td valign="top" align="center">0.72114</td>
<td valign="top" align="center">17.2</td>
<td valign="top" align="center">&#x02212;7</td>
<td valign="top" align="center">19</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="top" align="center">1.10.17</td>
<td valign="top" align="center">321</td>
<td valign="top" align="center">8.7</td>
<td valign="top" align="center">230</td>
<td valign="top" align="center">565</td>
<td valign="top" align="center">44</td>
<td valign="top" align="center">666</td>
<td valign="top" align="center">278</td>
<td valign="top" align="center">135</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">1.61</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">57</td>
<td valign="top" align="center">2,112</td>
<td valign="top" align="center">1.52</td>
<td valign="top" align="center">19.6</td>
<td valign="top" align="center">0.719118</td>
<td valign="top" align="center">11.4</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left">8</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">276</td>
<td valign="top" align="center">9.4</td>
<td valign="top" align="center">184</td>
<td valign="top" align="center">298</td>
<td valign="top" align="center">53</td>
<td valign="top" align="center">431</td>
<td valign="top" align="center">195</td>
<td valign="top" align="center">166</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">144</td>
<td valign="top" align="center">1.13</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">1,500</td>
<td valign="top" align="center">1.04</td>
<td valign="top" align="center">22.53</td>
<td valign="top" align="center">0.718152</td>
<td valign="top" align="center">16.7</td>
<td valign="top" align="center">&#x02212;14</td>
<td valign="top" align="center">12</td>
</tr>
<tr>
<td valign="top" align="left">9</td>
<td valign="top" align="center">1.10.17</td>
<td valign="top" align="center">275</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">389</td>
<td valign="top" align="center">46</td>
<td valign="top" align="center">486</td>
<td valign="top" align="center">224</td>
<td valign="top" align="center">236</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">86</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">1,705</td>
<td valign="top" align="center">1.16</td>
<td valign="top" align="center">42.16</td>
<td valign="top" align="center">0.722699</td>
<td valign="top" align="center">7.7</td>
<td valign="top" align="center">&#x02212;2</td>
<td valign="top" align="center">15</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="center">12.02.18</td>
<td valign="top" align="center">275</td>
<td valign="top" align="center">8.9</td>
<td valign="top" align="center">216</td>
<td valign="top" align="center">475</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">533</td>
<td valign="top" align="center">227</td>
<td valign="top" align="center">115</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">186</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">1,799</td>
<td valign="top" align="center">1.41</td>
<td valign="top" align="center">28.22</td>
<td valign="top" align="center">0.718744</td>
<td valign="top" align="center">17.2</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="top" align="center">12.02.18</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">8.6</td>
<td valign="top" align="center">218</td>
<td valign="top" align="center">488</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">552</td>
<td valign="top" align="center">235</td>
<td valign="top" align="center">126</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">0.27</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">91</td>
<td valign="top" align="center">1,881</td>
<td valign="top" align="center">1.42</td>
<td valign="top" align="center">26.76</td>
<td valign="top" align="center">0.718855</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">17</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">171</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">192</td>
<td valign="top" align="center">310</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">470</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">187</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">127</td>
<td valign="top" align="center">1.63</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">1,600</td>
<td valign="top" align="center">1.05</td>
<td valign="top" align="center">20.73</td>
<td valign="top" align="center">0.718383</td>
<td valign="top" align="center">14.3</td>
<td valign="top" align="center">&#x02212;12</td>
<td valign="top" align="center">12</td>
</tr>
<tr>
<td valign="top" align="left">13</td>
<td valign="top" align="center">30.09.17</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">8.3</td>
<td valign="top" align="center">205</td>
<td valign="top" align="center">454</td>
<td valign="top" align="center">58</td>
<td valign="top" align="center">568</td>
<td valign="top" align="center">252</td>
<td valign="top" align="center">185</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">133</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">1,838</td>
<td valign="top" align="center">1.04</td>
<td valign="top" align="center">25.41</td>
<td valign="top" align="center">0.721571</td>
<td valign="top" align="center">11.8</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">16</td>
</tr>
<tr>
<td valign="top" align="left">14</td>
<td valign="top" align="center">11.02.18</td>
<td valign="top" align="center">125</td>
<td valign="top" align="center">8.8</td>
<td valign="top" align="center">212</td>
<td valign="top" align="center">496</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">536</td>
<td valign="top" align="center">232</td>
<td valign="top" align="center">114</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">199</td>
<td valign="top" align="center">0.55</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">1,858</td>
<td valign="top" align="center">1.37</td>
<td valign="top" align="center">27.27</td>
<td valign="top" align="center">0.719844</td>
<td valign="top" align="center">17.3</td>
<td valign="top" align="center">&#x02212;9</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left">15</td>
<td valign="top" align="center">30.09.17</td>
<td valign="top" align="center">125</td>
<td valign="top" align="center">8.2</td>
<td valign="top" align="center">184</td>
<td valign="top" align="center">359</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">476</td>
<td valign="top" align="center">209</td>
<td valign="top" align="center">148</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">150</td>
<td valign="top" align="center">5.45</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">44</td>
<td valign="top" align="center">1,492</td>
<td valign="top" align="center">0.91</td>
<td valign="top" align="center">23.73</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">14.0</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left">16</td>
<td valign="top" align="center">29.05.17</td>
<td valign="top" align="center">108</td>
<td valign="top" align="center">9.3</td>
<td valign="top" align="center">185</td>
<td valign="top" align="center">366</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">455</td>
<td valign="top" align="center">234</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">145</td>
<td valign="top" align="center">3.89</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">1,700</td>
<td valign="top" align="center">1.15</td>
<td valign="top" align="center">22.03</td>
<td valign="top" align="center">0.722813</td>
<td valign="top" align="center">14.5</td>
<td valign="top" align="center">&#x02212;13</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left">17</td>
<td valign="top" align="center">26.09.17</td>
<td valign="top" align="center">108</td>
<td valign="top" align="center">8.6</td>
<td valign="top" align="center">165</td>
<td valign="top" align="center">334</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">457</td>
<td valign="top" align="center">197</td>
<td valign="top" align="center">191</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">16.19</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">1,433</td>
<td valign="top" align="center">0.92</td>
<td valign="top" align="center">35.64</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">15.9</td>
<td valign="top" align="center">&#x02212;3</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">18</td>
<td valign="top" align="center">11.02.18</td>
<td valign="top" align="center">108</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">182</td>
<td valign="top" align="center">451</td>
<td valign="top" align="center">55</td>
<td valign="top" align="center">404</td>
<td valign="top" align="center">195</td>
<td valign="top" align="center">269</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">0.34</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">68</td>
<td valign="top" align="center">1,435</td>
<td valign="top" align="center">1.13</td>
<td valign="top" align="center">14.96</td>
<td valign="top" align="center">0.721865</td>
<td valign="top" align="center">18.6</td>
<td valign="top" align="center">&#x02212;5</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left">19</td>
<td valign="top" align="center">27.09.17</td>
<td valign="top" align="center">99</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">168.2</td>
<td valign="top" align="center">345</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">464</td>
<td valign="top" align="center">197</td>
<td valign="top" align="center">155</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">115</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">77</td>
<td valign="top" align="center">1,426</td>
<td valign="top" align="center">1.02</td>
<td valign="top" align="center">42.43</td>
<td valign="top" align="center">0.720501</td>
<td valign="top" align="center">16.5</td>
<td valign="top" align="center">&#x02212;2</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">20</td>
<td valign="top" align="center">27.09.17</td>
<td valign="top" align="center">97</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">172</td>
<td valign="top" align="center">345</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">463</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">184</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">117</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">77</td>
<td valign="top" align="center">1,503</td>
<td valign="top" align="center">0.93</td>
<td valign="top" align="center">39.42</td>
<td valign="top" align="center">0.720414</td>
<td valign="top" align="center">16.3</td>
<td valign="top" align="center">&#x02212;6</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">21</td>
<td valign="top" align="center">26.09.17</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">7.9</td>
<td valign="top" align="center">147</td>
<td valign="top" align="center">361</td>
<td valign="top" align="center">53</td>
<td valign="top" align="center">422</td>
<td valign="top" align="center">193</td>
<td valign="top" align="center">178</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">148</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">1,398</td>
<td valign="top" align="center">0.87</td>
<td valign="top" align="center">21.11</td>
<td valign="top" align="center">0.720385</td>
<td valign="top" align="center">16.9</td>
<td valign="top" align="center">&#x02212;5</td>
<td valign="top" align="center">15</td>
</tr>
<tr>
<td valign="top" align="left">22</td>
<td valign="top" align="center">10.02.18</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">7.7</td>
<td valign="top" align="center">247</td>
<td valign="top" align="center">466</td>
<td valign="top" align="center">58</td>
<td valign="top" align="center">486</td>
<td valign="top" align="center">220</td>
<td valign="top" align="center">162</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">223</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">1,564</td>
<td valign="top" align="center">1.21</td>
<td valign="top" align="center">13.26</td>
<td valign="top" align="center">0.719642</td>
<td valign="top" align="center">23.1</td>
<td valign="top" align="center">&#x02212;7</td>
<td valign="top" align="center">18</td>
</tr>
<tr>
<td valign="top" align="left">23</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">8.8</td>
<td valign="top" align="center">196</td>
<td valign="top" align="center">412</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">414</td>
<td valign="top" align="center">229</td>
<td valign="top" align="center">230</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">174</td>
<td valign="top" align="center">4.7</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">1,619</td>
<td valign="top" align="center">1.12</td>
<td valign="top" align="center">17.88</td>
<td valign="top" align="center">0.719259</td>
<td valign="top" align="center">16.4</td>
<td valign="top" align="center">&#x02212;13</td>
<td valign="top" align="center">16</td>
</tr>
<tr>
<td valign="top" align="left">24</td>
<td valign="top" align="center">11.02.18</td>
<td valign="top" align="center">92</td>
<td valign="top" align="center">8.7</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">688</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">525</td>
<td valign="top" align="center">245</td>
<td valign="top" align="center">94</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">438</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">108</td>
<td valign="top" align="center">1,785</td>
<td valign="top" align="center">1.39</td>
<td valign="top" align="center">27.37</td>
<td valign="top" align="center">0.718527</td>
<td valign="top" align="center">26.8</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">25</td>
</tr>
<tr>
<td valign="top" align="left">25</td>
<td valign="top" align="center">26.09.17</td>
<td valign="top" align="center">83</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">167.4</td>
<td valign="top" align="center">348</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">474</td>
<td valign="top" align="center">207</td>
<td valign="top" align="center">239</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">16.48</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">1,446</td>
<td valign="top" align="center">0.94</td>
<td valign="top" align="center">86.77</td>
<td valign="top" align="center">0.720776</td>
<td valign="top" align="center">15.6</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">26</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">9.4</td>
<td valign="top" align="center">330</td>
<td valign="top" align="center">1,025</td>
<td valign="top" align="center">185</td>
<td valign="top" align="center">545</td>
<td valign="top" align="center">303</td>
<td valign="top" align="center">367</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">718</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">2,287</td>
<td valign="top" align="center">1.58</td>
<td valign="top" align="center">57.76</td>
<td valign="top" align="center">0.718518</td>
<td valign="top" align="center">26.5</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">35</td>
</tr>
<tr>
<td valign="top" align="left">27</td>
<td valign="top" align="center">10.02.18</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">9.4</td>
<td valign="top" align="center">367</td>
<td valign="top" align="center">1,033</td>
<td valign="top" align="center">184</td>
<td valign="top" align="center">670</td>
<td valign="top" align="center">313</td>
<td valign="top" align="center">299</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">678</td>
<td valign="top" align="center">47</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">62</td>
<td valign="top" align="center">2,338</td>
<td valign="top" align="center">1.81</td>
<td valign="top" align="center">82.58</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">26.6</td>
<td valign="top" align="center">&#x02212;2</td>
<td valign="top" align="center">33</td>
</tr>
<tr>
<td valign="top" align="left">28</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">385</td>
<td valign="top" align="center">54</td>
<td valign="top" align="center">496</td>
<td valign="top" align="center">237</td>
<td valign="top" align="center">191</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">1.24</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">72</td>
<td valign="top" align="center">1,756</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">22.07</td>
<td valign="top" align="center">0.720855</td>
<td valign="top" align="center">14.8</td>
<td valign="top" align="center">&#x02212;10</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left">29</td>
<td valign="top" align="center">29.05.17</td>
<td valign="top" align="center">63</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">190</td>
<td valign="top" align="center">371</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">513</td>
<td valign="top" align="center">233</td>
<td valign="top" align="center">186</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">152</td>
<td valign="top" align="center">1.55</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">1,735</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">21.82</td>
<td valign="top" align="center">0.718418</td>
<td valign="top" align="center">14.7</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left">30</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">8.9</td>
<td valign="top" align="center">225</td>
<td valign="top" align="center">525</td>
<td valign="top" align="center">123</td>
<td valign="top" align="center">484</td>
<td valign="top" align="center">274</td>
<td valign="top" align="center">533</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">3.31</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">1,890</td>
<td valign="top" align="center">1.42</td>
<td valign="top" align="center">45.69</td>
<td valign="top" align="center">0.719227</td>
<td valign="top" align="center">18.3</td>
<td valign="top" align="center">&#x02212;8</td>
<td valign="top" align="center">19</td>
</tr>
<tr>
<td valign="top" align="left">31</td>
<td valign="top" align="center">29.09.17</td>
<td valign="top" align="center">56</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">168</td>
<td valign="top" align="center">340</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">463</td>
<td valign="top" align="center">197</td>
<td valign="top" align="center">149</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">110</td>
<td valign="top" align="center">45</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">1,365</td>
<td valign="top" align="center">0.89</td>
<td valign="top" align="center">13.94</td>
<td valign="top" align="center">0.720214</td>
<td valign="top" align="center">18.5</td>
<td valign="top" align="center">&#x02212;1</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">32</td>
<td valign="top" align="center">27.09.17</td>
<td valign="top" align="center">55</td>
<td valign="top" align="center">8.5</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">341</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">469</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">107</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">1,513</td>
<td valign="top" align="center">0.92</td>
<td valign="top" align="center">13.17</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">15.4</td>
<td valign="top" align="center">&#x02212;6</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">33</td>
<td valign="top" align="center">29.09.17</td>
<td valign="top" align="center">53</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">168</td>
<td valign="top" align="center">331</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">446</td>
<td valign="top" align="center">193</td>
<td valign="top" align="center">143</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">109</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">1,363</td>
<td valign="top" align="center">0.89</td>
<td valign="top" align="center">13.82</td>
<td valign="top" align="center">0.72036</td>
<td valign="top" align="center">16.9</td>
<td valign="top" align="center">&#x02212;2</td>
<td valign="top" align="center">13</td>
</tr>
<tr>
<td valign="top" align="left">34</td>
<td valign="top" align="center">30.05.17</td>
<td valign="top" align="center">39</td>
<td valign="top" align="center">9.1</td>
<td valign="top" align="center">206</td>
<td valign="top" align="center">555</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">432</td>
<td valign="top" align="center">236</td>
<td valign="top" align="center">172</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">546</td>
<td valign="top" align="center">1.73</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">95</td>
<td valign="top" align="center">1,435</td>
<td valign="top" align="center">1.28</td>
<td valign="top" align="center">22.7</td>
<td valign="top" align="center">0.717999</td>
<td valign="top" align="center">34.0</td>
<td valign="top" align="center">&#x02212;14</td>
<td valign="top" align="center">21</td>
</tr>
<tr>
<td valign="top" align="left">35</td>
<td valign="top" align="center">30.05.17</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">9.2</td>
<td valign="top" align="center">197</td>
<td valign="top" align="center">362</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">481</td>
<td valign="top" align="center">233</td>
<td valign="top" align="center">185</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">156</td>
<td valign="top" align="center">0.4</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">78</td>
<td valign="top" align="center">1,655</td>
<td valign="top" align="center">1.18</td>
<td valign="top" align="center">21.13</td>
<td valign="top" align="center">0.718217</td>
<td valign="top" align="center">15.9</td>
<td valign="top" align="center">&#x02212;9</td>
<td valign="top" align="center">14</td>
</tr>
<tr>
<td valign="top" align="left">36</td>
<td valign="top" align="center">30.05.17</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">9.1</td>
<td valign="top" align="center">373</td>
<td valign="top" align="center">1,505</td>
<td valign="top" align="center">130</td>
<td valign="top" align="center">470</td>
<td valign="top" align="center">374</td>
<td valign="top" align="center">204</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">1,249</td>
<td valign="top" align="center">1.55</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">171</td>
<td valign="top" align="center">1,997</td>
<td valign="top" align="center">1.43</td>
<td valign="top" align="center">38.74</td>
<td valign="top" align="center">0.717973</td>
<td valign="top" align="center">44.4</td>
<td valign="top" align="center">&#x02212;9</td>
<td valign="top" align="center">52</td>
</tr>
<tr>
<td valign="top" align="left">37</td>
<td valign="top" align="center">10.02.18</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">8.7</td>
<td valign="top" align="center">226</td>
<td valign="top" align="center">590</td>
<td valign="top" align="center">76</td>
<td valign="top" align="center">537</td>
<td valign="top" align="center">245</td>
<td valign="top" align="center">93</td>
<td valign="top" align="center">19</td>
<td valign="top" align="center">286</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">8</td>
<td valign="top" align="center">103</td>
<td valign="top" align="center">1,802</td>
<td valign="top" align="center">1.33</td>
<td valign="top" align="center">25.48</td>
<td valign="top" align="center">0.718921</td>
<td valign="top" align="center">21.5</td>
<td valign="top" align="center">&#x02212;5</td>
<td valign="top" align="center">21</td>
</tr>
<tr>
<td valign="top" align="left">38</td>
<td valign="top" align="center">29.09.17</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">170</td>
<td valign="top" align="center">371</td>
<td valign="top" align="center">53</td>
<td valign="top" align="center">449</td>
<td valign="top" align="center">197</td>
<td valign="top" align="center">158</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">149</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">10</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">1,379</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">20.16</td>
<td valign="top" align="center">0.720512</td>
<td valign="top" align="center">19.8</td>
<td valign="top" align="center">&#x02212;3</td>
<td valign="top" align="center">15</td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td valign="top" align="left">39</td>
<td valign="top" align="center">10.02.18</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">8.3</td>
<td valign="top" align="center">1,408</td>
<td valign="top" align="center">107,352</td>
<td valign="top" align="center">2,749</td>
<td valign="top" align="center">3,189</td>
<td valign="top" align="center">14,281</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">150,396</td>
<td valign="top" align="center">202</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">7885</td>
<td valign="top" align="center">7,375</td>
<td valign="top" align="center">27.41</td>
<td valign="top" align="center">387.4</td>
<td valign="top" align="center">0.709657</td>
<td valign="top" align="center">95.8</td>
<td valign="top" align="center">&#x02212;20</td>
<td valign="top" align="center">812</td>
</tr> <tr style="border-bottom: thin solid #000000;">
<td valign="top" align="center" colspan="22"><bold>Estuary</bold></td>
</tr> <tr>
<td valign="top" align="left">40</td>
<td valign="top" align="center">29.05.17</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">428,192</td>
<td valign="top" align="center">9,660</td>
<td valign="top" align="center">9,664</td>
<td valign="top" align="center">49,249</td>
<td valign="top" align="center">73</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">83,547</td>
<td valign="top" align="center">148</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">5,748.39</td>
<td valign="top" align="center">2,356.64</td>
<td valign="top" align="center">129.65</td>
<td/>
<td valign="top" align="left">0.709148</td>
<td valign="top" align="center">97.58</td>
<td valign="top" align="center">82</td>
<td valign="top" align="center">1,764</td>
</tr>
<tr>
<td valign="top" align="left">41</td>
<td valign="top" align="center">10.02.18</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">8.4</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">350,853</td>
<td valign="top" align="center">8,571</td>
<td valign="top" align="center">8,596</td>
<td valign="top" align="center">44,476</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">56,060</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">38.77</td>
<td valign="top" align="center">46.6</td>
<td valign="top" align="center">2,327.23</td>
<td valign="top" align="center">87.21</td>
<td/>
<td/>
<td valign="top" align="left">96.02</td>
<td valign="top" align="center">87</td>
<td valign="top" align="center">1,523</td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td valign="top" align="left">42</td>
<td valign="top" align="center">29.09.17</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">7.8</td>
<td valign="top" align="center">n.d.</td>
<td valign="top" align="center">31,571</td>
<td valign="top" align="center">854</td>
<td valign="top" align="center">1,248</td>
<td valign="top" align="center">4,112</td>
<td valign="top" align="center">256</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">35,067</td>
<td valign="top" align="center">61</td>
<td valign="top" align="center">10.82</td>
<td valign="top" align="center">2,261.63</td>
<td valign="top" align="center">1,422.94</td>
<td valign="top" align="center">6.56</td>
<td/>
<td valign="top" align="left">0.710634</td>
<td valign="top" align="center">96.54</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">431</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Samples Code</bold></td>
<td valign="top" align="center"><bold>Date</bold></td>
<td valign="top" align="center" colspan="3"><bold>Distance from coast</bold></td>
<td valign="top" align="center"><bold>pH</bold></td>
<td valign="top" align="center"><bold>EC</bold></td>
<td valign="top" align="center"><bold>Na</bold><sup><bold>&#x0002B;</bold></sup></td>
<td valign="top" align="center"><bold>K</bold><sup><bold>&#x0002B;</bold></sup></td>
<td valign="top" align="center"><bold>Ca</bold><sup><bold>2&#x0002B;</bold></sup></td>
<td valign="top" align="center"><bold>Mg</bold><sup><bold>2&#x0002B;</bold></sup></td>
<td valign="top" align="center"><bold>Si</bold></td>
<td valign="top" align="center"><bold>F</bold><sup><bold>&#x02212;</bold></sup></td>
<td valign="top" align="center"><bold>Cl</bold><sup><bold>&#x02212;</bold></sup></td>
<td valign="top" align="center"><inline-formula><mml:math id="M29"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></td>
<td valign="top" align="center"><inline-formula><mml:math id="M30"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></td>
<td valign="top" align="center"><inline-formula><mml:math id="M31"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></td>
<td valign="top" align="center"><inline-formula><mml:math id="M32"><mml:mstyle mathvariant="bold"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mstyle></mml:math></inline-formula></td>
<td valign="top" align="center"><bold>Sr</bold></td>
<td valign="top" align="center" colspan="2"><sup><bold>87</bold></sup><bold>Sr/</bold><sup><bold>86</bold></sup><bold>Sr</bold></td>
<td valign="top" align="center"><bold>NICB</bold></td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td/>
<td valign="top" align="center" colspan="3"><bold>km</bold></td>
<td valign="top" align="center"><bold>&#x003BC;S/cm</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td valign="top" align="center"><bold>&#x003BC;mol/l</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr> <tr style="border-bottom: thin solid #000000;">
<td valign="top" align="center" colspan="22"><bold>Groundwater</bold></td>
</tr> <tr>
<td valign="top" align="left">G1</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center" colspan="3">276</td>
<td valign="top" align="center">7.6</td>
<td valign="top" align="center">709</td>
<td valign="top" align="center">5,946</td>
<td valign="top" align="center">369</td>
<td valign="top" align="center">377</td>
<td valign="top" align="center">533</td>
<td valign="top" align="center">550</td>
<td valign="top" align="center">40</td>
<td valign="top" align="center">922</td>
<td valign="top" align="center">314</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">117</td>
<td valign="top" align="center">6,318</td>
<td valign="top" align="center">8.33</td>
<td valign="top" align="center" colspan="2">0.720772</td>
<td valign="top" align="center">3</td>
</tr>
<tr>
<td valign="top" align="left">G2</td>
<td valign="top" align="center">1.10.17</td>
<td valign="top" align="center" colspan="3">275</td>
<td valign="top" align="center">6.9</td>
<td valign="top" align="center">902</td>
<td valign="top" align="center">345</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">3,396</td>
<td valign="top" align="center">200</td>
<td valign="top" align="center">758</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">57</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">2,287</td>
<td valign="top" align="center">6.44</td>
<td valign="top" align="center" colspan="2">0.718273</td>
<td valign="top" align="center">67</td>
</tr>
<tr>
<td valign="top" align="left">G3</td>
<td valign="top" align="center">30.09.17</td>
<td valign="top" align="center" colspan="3">157</td>
<td valign="top" align="center">7.5</td>
<td valign="top" align="center">587</td>
<td valign="top" align="center">2,562</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">1,356</td>
<td valign="top" align="center">755</td>
<td valign="top" align="center">798</td>
<td valign="top" align="center">42</td>
<td valign="top" align="center">58</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">31</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">6,192</td>
<td valign="top" align="center">3.95</td>
<td valign="top" align="center" colspan="2">0.722414</td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left">G4</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center" colspan="3">135</td>
<td valign="top" align="center">7.7</td>
<td valign="top" align="center">812</td>
<td valign="top" align="center">6,855</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">175</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">1,168</td>
<td valign="top" align="center">617</td>
<td valign="top" align="center">3,995</td>
<td valign="top" align="center">5</td>
<td valign="top" align="center">16</td>
<td valign="top" align="center">245</td>
<td valign="top" align="center">2,699</td>
<td valign="top" align="center">0.47</td>
<td valign="top" align="center" colspan="2">n.d.</td>
<td valign="top" align="center">&#x02212;7</td>
</tr>
<tr>
<td valign="top" align="left">G5</td>
<td valign="top" align="center">30.09.17</td>
<td valign="top" align="center" colspan="3">125</td>
<td valign="top" align="center">6.7</td>
<td valign="top" align="center">1,172</td>
<td valign="top" align="center">2,531</td>
<td valign="top" align="center">470</td>
<td valign="top" align="center">3,224</td>
<td valign="top" align="center">1,734</td>
<td valign="top" align="center">980</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">4,925</td>
<td valign="top" align="center">1,264</td>
<td valign="top" align="center">38</td>
<td valign="top" align="center">615</td>
<td valign="top" align="center">4,583</td>
<td valign="top" align="center">7.98</td>
<td valign="top" align="center" colspan="2">0.719231</td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left">G6</td>
<td valign="top" align="center">27.09.17</td>
<td valign="top" align="center" colspan="3">56</td>
<td valign="top" align="center">6.8</td>
<td valign="top" align="center">1,560</td>
<td valign="top" align="center">4,598</td>
<td valign="top" align="center">189</td>
<td valign="top" align="center">3,306</td>
<td valign="top" align="center">2,420</td>
<td valign="top" align="center">558</td>
<td valign="top" align="center">11</td>
<td valign="top" align="center">11,341</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">303</td>
<td valign="top" align="center">3,017</td>
<td valign="top" align="center">9.46</td>
<td valign="top" align="center" colspan="2">0.716336</td>
<td valign="top" align="center">7</td>
</tr>
<tr>
<td valign="top" align="left">G7</td>
<td valign="top" align="center">27.09.17</td>
<td valign="top" align="center" colspan="3">53</td>
<td valign="top" align="center">6.8</td>
<td valign="top" align="center">871</td>
<td valign="top" align="center">3,392</td>
<td valign="top" align="center">185</td>
<td valign="top" align="center">1,878</td>
<td valign="top" align="center">1,050</td>
<td valign="top" align="center">479</td>
<td valign="top" align="center">14</td>
<td valign="top" align="center">2,959</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">418</td>
<td valign="top" align="center">4,905</td>
<td valign="top" align="center">4.52</td>
<td valign="top" align="center" colspan="2">0.718117</td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left">G8</td>
<td valign="top" align="center">28.05.17</td>
<td valign="top" align="center" colspan="3">50</td>
<td valign="top" align="center">7.8</td>
<td valign="top" align="center">847</td>
<td valign="top" align="center">5,637</td>
<td valign="top" align="center">237</td>
<td valign="top" align="center">716</td>
<td valign="top" align="center">384</td>
<td valign="top" align="center">410</td>
<td valign="top" align="center">6</td>
<td valign="top" align="center">3,253</td>
<td valign="top" align="center">75</td>
<td valign="top" align="center">25</td>
<td valign="top" align="center">119</td>
<td valign="top" align="center">4,944</td>
<td valign="top" align="center">8.58</td>
<td valign="top" align="center" colspan="2">0.712757</td>
<td valign="top" align="center">&#x02212;6</td>
</tr>
<tr>
<td valign="top" align="left">G9</td>
<td valign="top" align="center">30.05.17</td>
<td valign="top" align="center" colspan="3">38</td>
<td valign="top" align="center">7.5</td>
<td valign="top" align="center">850</td>
<td valign="top" align="center">1,967</td>
<td valign="top" align="center">48</td>
<td valign="top" align="center">1,631</td>
<td valign="top" align="center">1,052</td>
<td valign="top" align="center">560</td>
<td valign="top" align="center">29</td>
<td valign="top" align="center">3,895</td>
<td valign="top" align="center">59</td>
<td valign="top" align="center">20</td>
<td valign="top" align="center">251</td>
<td valign="top" align="center">4,785</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center" colspan="2">0.71379161</td>
<td valign="top" align="center">&#x02212;26</td>
</tr>
<tr>
<td valign="top" align="left">G10</td>
<td valign="top" align="center">29.05.17</td>
<td valign="top" align="center" colspan="3">20</td>
<td valign="top" align="center">7.6</td>
<td valign="top" align="center">275</td>
<td valign="top" align="center">445</td>
<td valign="top" align="center">52</td>
<td valign="top" align="center">547</td>
<td valign="top" align="center">248</td>
<td valign="top" align="center">325</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">220</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">1,997</td>
<td valign="top" align="center">1.26</td>
<td valign="top" align="center" colspan="2">0.72022075</td>
<td valign="top" align="center">&#x02212;13</td>
</tr>
<tr>
<td valign="top" align="left">G11</td>
<td valign="top" align="center">29.05.17</td>
<td valign="top" align="center" colspan="3">0.1</td>
<td valign="top" align="center">8.8</td>
<td valign="top" align="center">560</td>
<td valign="top" align="center">907</td>
<td valign="top" align="center">283</td>
<td valign="top" align="center">620</td>
<td valign="top" align="center">837</td>
<td valign="top" align="center">224</td>
<td valign="top" align="center">b.d.</td>
<td valign="top" align="center">946</td>
<td valign="top" align="center">605</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">204</td>
<td valign="top" align="center">2,366</td>
<td valign="top" align="center">1.51</td>
<td valign="top" align="center" colspan="2">0.717529</td>
<td valign="top" align="center">&#x02212;6</td>
</tr>
<tr>
<td valign="top" align="left">G12</td>
<td valign="top" align="center">29.09.17</td>
<td valign="top" align="center" colspan="3">0.1</td>
<td valign="top" align="center">6.8</td>
<td valign="top" align="center">1,630</td>
<td valign="top" align="center">6,472</td>
<td valign="top" align="center">244</td>
<td valign="top" align="center">3,201</td>
<td valign="top" align="center">2,410</td>
<td valign="top" align="center">597</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">10,845</td>
<td valign="top" align="center">785</td>
<td valign="top" align="center">36</td>
<td valign="top" align="center">428</td>
<td valign="top" align="center">4,002</td>
<td valign="top" align="center">10.96</td>
<td valign="top" align="center" colspan="2">0.715501</td>
<td valign="top" align="center">7</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p><italic>b.d., below detection; n.d., not determined</italic>.</p>
</table-wrap-foot>
</table-wrap>
<sec>
<title>River Chemistry</title>
<sec>
<title>Major ion Chemistry</title>
<p>The pH values of the river water samples vary from 8.6 to 9.4, from 7.9 to 8.7, and from 7.7 to 9.4 during pre-monsoon, monsoon, and post-monsoon, respectively (<xref ref-type="fig" rid="F2">Figure 2</xref>, <xref ref-type="table" rid="T1">Table 1</xref>). The Electrical Conductivity (EC) values range from 184 to 373 &#x003BC;Scm<sup>&#x02212;1</sup> in pre-monsoon, from 147 to 230 &#x003BC;Scm<sup>&#x02212;1</sup> during monsoon and from 180 to 367 &#x003BC;Scm<sup>&#x02212;1</sup> during the post-monsoon season. The TDS values range from 129 to 265 ppm during pre-monsoon, 118 to 162 ppm during monsoon and 128 to 261 ppm during post-monsoon. The total cationic charge (TZ<sup>&#x0002B;</sup>) varies from 1.6 to 3.3 meq/L (milli-equivalent per liter) whereas the total anionic charge (TZ<sup>&#x02212;</sup>) varies from 1.8 to 3.6 meq/L. For most of the samples, the TZ<sup>&#x0002B;</sup> and TZ<sup>&#x02212;</sup> were balanced to within &#x000B1; 10% of the normalized inorganic charge balance (NICB) (<xref ref-type="table" rid="T1">Table 1</xref>; Edmond et al., <xref ref-type="bibr" rid="B24">1995</xref>; Dalai et al., <xref ref-type="bibr" rid="B18">2002</xref>; Zhang et al., <xref ref-type="bibr" rid="B67">2019</xref>). The balanced charges corroborate the high analytical precision of the ion concentration measurements and imply that the contribution of organic ligands and/or unmeasured ions to the charge balance is insignificant. Most of the samples have high bicarbonate (<inline-formula><mml:math id="M33"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) concentrations that account for more than 80% of TZ<sup>&#x02212;</sup>, whereas the Ca<sup>2&#x0002B;</sup> and Na<sup>&#x0002B;</sup> dominate the TZ<sup>&#x0002B;</sup>. The major cations for most of the samples from all sampling seasons generally follow decreasing order: Ca<sup>2&#x0002B;</sup> &#x0003E; Na<sup>&#x0002B;</sup> &#x0003E; Mg<sup>2&#x0002B;</sup> &#x0003E; K<sup>&#x0002B;</sup>. In few samples collected during non-monsoon months, Na concentration (molar) was found to be higher than that of the Ca (<xref ref-type="table" rid="T1">Table 1</xref>). The anion concentrations follow the following decreasing order: <inline-formula><mml:math id="M34"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> &#x0003E; Cl<sup>&#x02212;</sup> &#x0003E; <inline-formula><mml:math id="M35"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> &#x0003E; F<sup>&#x02212;</sup> &#x0003E; <inline-formula><mml:math id="M36"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> &#x0003E; <inline-formula><mml:math id="M37"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>. Most of the river water samples are supersaturated (SI &#x0003E; 0) with respect to calcite and dolomite particularly during non-monsoon seasons. During monsoon, the river water samples record relatively low saturation indices while highest values are observed during the pre-monsoon season.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Distributions of pH, Cl, pollution index (PI), calcite saturation index (CSI), and dolomite saturation index (DSI) in the Mahanadi River water samples collected during pre-monsoon (red circles), monsoon (green circles), and post-monsoon season (blue circles) and plotted relative to the distance of the sampling locations from the coast toward inland. The vertical dotted line denotes the location of the Naraj Barrage (See <xref ref-type="fig" rid="F1">Figure 1</xref>). Distinct changes in Mahanadi water compositions are observed across the Barrage.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0002.tif"/>
</fig></sec>
<sec>
<title>Sr Concentration and Radiogenic Sr Isotopes</title>
<p>The <sup>87</sup>Sr/<sup>86</sup>Sr of the pre-monsoon samples range from 0.70915 to 0.72281 with a mean of 0.718 &#x000B1; 0.003, where the lowest values were recorded for the samples collected near the confluence of the Mahanadi River and Bay of Bengal. Excluding the sample collected from near the coast (sample &#x00023;40, <xref ref-type="table" rid="T1">Table 1</xref>), having high Sr concentration of 132 &#x003BC;mol/l, the molar Sr concentration in the pre-monsoon samples varies from 1.04 to 1.58 &#x003BC;mol/l with a mean concentration of 1.20 &#x000B1; 0.17 &#x003BC;mol/l. During the monsoon season, most of the water samples show relatively more radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr (0.71063&#x02013;0.72269) and lower Sr concentrations (0.84&#x02013;1.52 &#x003BC;mol/l) (<xref ref-type="table" rid="T1">Table 1</xref>). The above values exclude the sample collected near coast having Sr concentration of 6.56 &#x003BC;mol/l. Water samples collected during the post-monsoon show relatively less radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr (0.70923&#x02013;0.72186), where the lowest value is observed in a sample collected close to the confluence of the Mahanadi River with the Bay of Bengal (<xref ref-type="table" rid="T1">Table 1</xref>). The Sr concentrations in the post-monsoon range from 1.12 to 87.2 &#x003BC;mol/l, where the highest value was recorded for the sample collected near the coast. The molar Rb/Sr ratios in the studied samples range from 11 to 62 (nmol/&#x003BC;mol).</p></sec></sec>
<sec>
<title>Groundwater Chemistry</title>
<p>The pH values of the groundwater samples range from 7.5 to 8.8 during pre-monsoon, whereas during monsoon, the pH ranges from 6.7 to 7.5. The <inline-formula><mml:math id="M38"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>, Na<sup>&#x0002B;</sup>, and Cl<sup>&#x02212;</sup> ions dominate the chemical composition of these samples. Except few samples collected from the downstream part of the basin, most of the samples show NICB &#x0003C;10%. The <sup>87</sup>Sr/<sup>86</sup>Sr ratio varies from 0.71275 to 0.72241, and Sr concentrations vary between 0.48 and 10.76 &#x003BC;mol/l. Unlike the river water samples, no clear seasonal trends are observed in <sup>87</sup>Sr/<sup>86</sup>Sr ratios of groundwater samples.</p></sec></sec>
<sec sec-type="discussion" id="s5">
<title>Discussion</title>
<p>The geochemical signatures of the Mahanadi River water, which vary both spatially and seasonally, reflect the cumulative responses of: (i) weathering reactions taking place in its drainage basin, (ii) atmospheric precipitations of sea salt and continental dust, and (iii) anthropogenic input. Hence, to delineate the contribution from silicate vs. carbonate dissolution, the river water chemistry has been corrected for the anthropogenic as well as the atmospheric inputs.</p>
<sec>
<title>Anthropogenic Interference</title>
<p>Sambalpur, Cuttack, and Paradeep are the three major urban settlements located on the banks of the Mahanadi River that use the river water for agricultural, domestic, and industrial purposes. A thermal power plant, Aluminum industries near Hirakud, article and textiles industries near Cuttack, and two fertilizer plants at Paradeep are some of the major industries present in the Lower Mahanadi basin whose discharges can potentially affect the water chemistry of the Mahanadi River. To decipher the influence of anthropogenic impact on the Mahanadi River chemistry, pollution indices (Equation 4, Pacheco and van der Weijden, <xref ref-type="bibr" rid="B46">1996</xref>) of the samples have been calculated (<xref ref-type="table" rid="T1">Table 1</xref>). Although, the pollution indices in some samples reach &#x0007E;40% during the pre-monsoon season, the average of the pollution indices in the studied samples for three seasons is &#x02264;20% (<xref ref-type="fig" rid="F2">Figure 2</xref>), which suggests a weathering-dominated water chemistry (Pacheco and van der Weijden, <xref ref-type="bibr" rid="B46">1996</xref>). This inference is also in line with the recent observations of Konhauser et al. (<xref ref-type="bibr" rid="B33">1997</xref>) and Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) who reported low enrichments in anthropogenically-sourced element concentrations in the lower reaches of the Mahanadi River. The low pollution signatures of the Mahanadi River water probably reflect significant dilution of pollutants from their sources by the high river water flux and/or subsequent precipitation of ions from the river water column. The samples also show significant effect of seasonal dilution on the pollution indices. The values of the pollution indices for most of the sampling locations generally follow the decreasing order: post-monsoon &#x0003E; pre-monsoon &#x0003E; monsoon. This variation reflects the combination of near invariable effluent fluxes from industries throughout the year with a largely variable seasonal water flux. The spatial distribution of pollution indices shows a rise in the pollution downstream of the Naraj Barrage (<xref ref-type="fig" rid="F2">Figure 2</xref>), where the river mostly traverses through a densely populated region with vast agricultural lands.</p>
<p>Additionally, there are discrepancies related to the Cl<sup>&#x02212;</sup> ion concentrations in the Mahanadi River. Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) reported very high Cl<sup>&#x02212;</sup> concentration with Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> molar ratio of 1.39 &#x000B1; 1.01, which is higher than sea-salt and halite, thereby suggesting high anthropogenic input (Gaillardet et al., <xref ref-type="bibr" rid="B27">1999b</xref>). However, the average molar ratio of Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> of the water samples of this study collected over three different seasons is much lower (0.44 &#x000B1; 0.15, 1SD) which is consistent with the reports of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) who also reported Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> molar ratios of 0.46 &#x000B1; 0.17 in the Mahanadi water samples. The measured Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup> values further rule out any major anthropogenic influence on the Mahanadi River water chemistry, which contrasts with the inference of Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>).</p>
<p>Further, Roy et al. (<xref ref-type="bibr" rid="B54">1999</xref>) suggested that <inline-formula><mml:math id="M39"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup> close to 10, and K<sup>&#x0002B;</sup>/Na<sup>&#x0002B;</sup> close to 0.3-0.4 can be used to suggest pollution from agriculture/fertilizers. However, the low <inline-formula><mml:math id="M40"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup> (0.024 &#x000B1; 0.04) and K<sup>&#x0002B;</sup>/Na<sup>&#x0002B;</sup> (0.144 &#x000B1; 0.03) in the water samples of the present study suggest negligible impact from agricultural inputs, which is also consistent with the observations of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>).</p>
<p>Overall, based on the major ion chemistry, significant contributions from anthropogenic and/or agricultural sources to the Mahanadi River can be ruled out. However, in a later section we will show that the radiogenic Sr isotopic ratios can help to trace the inputs from fertilizers which may not always be reflected in the major ion chemistries of river water samples.</p></sec>
<sec>
<title>Sources of Ions</title>
<sec>
<title>Atmospheric Supply vs. Chemical Weathering</title>
<p>Sea-salt aerosols and atmospheric dust mainly govern the atmospheric contribution of ions to the riverine chemistry. The removal of atmospheric solute contributions from riverine composition, i.e., cyclic-salt correction can be estimated from the chloride concentrations in the local rainwater compositions (e.g., Das A. et al., <xref ref-type="bibr" rid="B19">2005</xref>; Jha et al., <xref ref-type="bibr" rid="B32">2009</xref>; Pattanaik et al., <xref ref-type="bibr" rid="B49">2013</xref>; Bastia and Equeenuddin, <xref ref-type="bibr" rid="B7">2019</xref>). The choice of chloride as a proxy of atmospheric contribution is based on two of its characteristics: (i) it is not a part of biogeochemical cycling in most drainage basins and (ii) it reacts very little with other ions and does not form complexes (Viers et al., <xref ref-type="bibr" rid="B64">2001</xref> and references therein). The concentration of Cl<sup>&#x02212;</sup> shows a steep decrease with increasing distance from the coast (<xref ref-type="fig" rid="F2">Figure 2</xref>) suggesting a decrease in the marine sea-salt contribution to the river water via rain. This lowering of Cl<sup>&#x02212;</sup> concentration with distance from the coast is prominent during non-monsoon seasons, whereas during monsoon (high runoff) all the samples show the effect of rainwater dilution, leading to low Cl<sup>&#x02212;</sup> concentrations. These trends in Cl<sup>&#x02212;</sup> concentrations (<xref ref-type="fig" rid="F2">Figure 2</xref>) rule out any pervasive encroachment of seawater in the river and suggest that the decreasing Cl<sup>&#x02212;</sup> concentrations across all seasons reflect contributions of sea salt via rain. Additionally, the progressive decrease of Cl<sup>&#x02212;</sup> concentrations with increasing distance from the coast during all three seasons suggests absence of evaporite occurrences in the Lower Mahanadi basin which is consistent with the known lithological occurrences in this drainage basin (<xref ref-type="fig" rid="F1">Figure 1A</xref>). There is also an increase in Cl<sup>&#x02212;</sup> concentration downstream of the Naraj Barrage (<xref ref-type="fig" rid="F2">Figure 2</xref>), which implies both increase in sea-salt and anthropogenic contributions. However, this increasing trend observed across seasons downstream from the Naraj Barrage is not uniform and shows abrupt high and low values. This pattern is a result of different distributaries flowing through various terrains having different influence of natural and anthropogenic impacts.</p>
<p>The non-cyclic correction (Equation 5) relies on the hypothesis that atmospheric input has a composition like sea salt, where the Cl<sup>&#x02212;</sup> content would only come from the seawater (e.g., Meunier et al., <xref ref-type="bibr" rid="B36">2015</xref> and references therein). Applying this marine component dominated correction to the dissolved load of the Mahanadi River implies that excesses in Na, Ca, Mg, K, and Sr in rainwater that originate within the drainage basin itself are part of continental weathering flux (Gaillardet et al., <xref ref-type="bibr" rid="B26">1997</xref>). The normalized Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> and Ca<sup>2&#x0002B;</sup>/Cl<sup>&#x02212;</sup> ratios [(X/Cl)<sub>river</sub>)/(X/Cl)<sub>seawater</sub>)] in <xref ref-type="fig" rid="F3">Figure 3A</xref> shows distinctly higher values (&#x0003E;1) for most of the samples of all seasons except for few that were collected closer to the coast. This suggests that significant amount of Na and Ca of the Mahanadi River can be attributed to the chemical weathering of minerals. Furthermore, the samples collected during the monsoon season display predominantly higher Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> and Ca<sup>2&#x0002B;</sup>/Cl<sup>&#x02212;</sup> ratios, which suggest that chemical weathering is dominant during high run-off conditions. This interpretation reemphasises the dominant role of runoff in regulating the chemical weathering rates, which is also true for other large rivers around the world (Gaillardet et al., <xref ref-type="bibr" rid="B27">1999b</xref>; Kump et al., <xref ref-type="bibr" rid="B35">2000</xref>). This inference is further strengthened by the distribution of all samples above the 1:1 trendline in a plot of Na<sup>&#x0002B;</sup> &#x0002B; K<sup>&#x0002B;</sup> vs. Cl<sup>&#x02212;</sup> (<xref ref-type="fig" rid="F3">Figure 3B</xref>) which reflects the dominance of chemical weathering of silicates over that of evaporites and/or seawater input. These trends in the Mahanadi River water also suggest that chloride normalization can be used to correct for atmospheric contributions to river water (Viers et al., <xref ref-type="bibr" rid="B63">2000</xref>).</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>(A)</bold> High values (&#x0003E;1) of normalized Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> and Ca<sup>2&#x0002B;</sup>/Cl<sup>&#x02212;</sup> ratios in the Mahanadi River water samples, particularly those collected during monsoon (green circles), suggest higher contribution from mineral dissolution due to chemical weathering. <bold>(B)</bold> In a plot of (Na<sup>&#x0002B;</sup>&#x0002B;K<sup>&#x0002B;</sup>) vs. Cl<sup>&#x02212;</sup>, the Mahanadi River water samples display higher (Na<sup>&#x0002B;</sup>&#x0002B;K<sup>&#x0002B;</sup>) than Cl<sup>&#x02212;</sup> which suggests greater influence of chemical weathering compared to contributions from evaporites and seawater.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0003.tif"/>
</fig>
<p>To further strengthen this argument of chemical weathering dominance in the Mahanadi River Basin, the concentrations of uncorrected total dissolved solids (TDS) are plotted vs. the ratios of Na<sup>&#x0002B;</sup> and Na<sup>&#x0002B;</sup> &#x0002B; Ca<sup>2&#x0002B;</sup> (Gibbs, <xref ref-type="bibr" rid="B30">1970</xref>; <xref ref-type="fig" rid="F4">Figure 4</xref>). Here, Na concentrations represent the saline water endmember (e.g., ocean), whereas Ca represents for the fresh surface water bodies (e.g., rivers). Therefore, larger marine contribution, either by seawater mixing or atmospheric inputs of sea-salt will drive the ratio [Na<sup>&#x0002B;</sup>/(Na<sup>&#x0002B;</sup> &#x0002B; Ca<sup>2&#x0002B;</sup>)] toward unity but with different TDS values. For the Mahanadi River, most of the water samples plot near the rock-weathering dominance region (Gibbs, <xref ref-type="bibr" rid="B30">1970</xref>) with few samples, collected near the coast plotting in the seawater/evaporation dominated region (<xref ref-type="fig" rid="F4">Figure 4</xref>). The results of the present study are also consistent with the earlier reported values of Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) and that of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>; <xref ref-type="fig" rid="F4">Figure 4A</xref>). The distribution of the Mahanadi water samples in the Gibb&#x00027;s plot shows the dominance of chemical weathering over atmospheric inputs. When the cyclic salt corrected compositions were plotted in the Gibb&#x00027;s plot (<xref ref-type="fig" rid="F4">Figure 4B</xref>), very little changes are observed in the distribution pattern and the samples plot in the chemical weathering dominated region. If the atmospheric contribution to the samples was significant, the samples would have plotted in the bottom left like that of the samples collected near the coast (<xref ref-type="fig" rid="F4">Figure 4B</xref>). Therefore, it can be concluded that the atmospheric contribution to the studied samples is insignificant and the chemical weathering of different lithologies dominate the water chemistry of the samples.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Gibb&#x00027;s plot for cyclic-salt uncorrected <bold>(A)</bold> and corrected <bold>(B)</bold> Mahanadi River water samples. Majority of the samples plot close to the rock-weathering dominated region which suggests that the water chemistry is dominated by rock weathering relative to cyclic-salt and evaporites. Our data (filled circles) are consistent with published data for the Mahanadi River water from Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) (open diamonds) and Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) (open circles). If sea salt contribution from rainwater (cyclic-salt correction) was large, the Mahanadi River water samples in <bold>(B)</bold> would have plotted further down and left relative to their position in <bold>(A)</bold>. However, very little differences in their positions relative to <bold>(A)</bold> was observed, which suggests negligible sea salt contribution in the samples of this study.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0004.tif"/>
</fig></sec>
<sec>
<title>Silicate vs. Carbonate Weathering</title>
<sec>
<title>Major ion Chemistry</title>
<p>The bedrock of the Mahanadi River primarily consists of Proterozoic limestones in the upstream whereas downstream from the Hirakud Dam, the river traverses through granites and gneisses and coastal alluvium (e.g., Bastia et al., <xref ref-type="bibr" rid="B6">2020</xref>). An interesting aspect related to the Mahanadi River chemistry is the contrasting interpretations of earlier studies regarding the dominant source of ions to the river. Based on two seasons of sampling, Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) reported the dominance of carbonates over the silicates in the chemistry of the Mahanadi River, irrespective of the fact that downstream of the Hirakud Dam, this bedrock is devoid of any known carbonate lithology. A similar conclusion was reached by Panigrahy and Raymahashay (<xref ref-type="bibr" rid="B47">2005</xref>) based on analyses of a database from 13 locations acquired from the Central Water Commission with 5 stations downstream of the Hirakud Dam. These interpretations reflect the higher susceptibility of carbonates to weathering compared to granites and gneisses (Meybeck, <xref ref-type="bibr" rid="B38">1987</xref>; Amiotte Suchet et al., <xref ref-type="bibr" rid="B2">2003</xref>). In contrast, Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) analyzed the water samples of the Mahanadi River collected over two seasons and reported that silicate weathering is the dominant source of ions to the Mahanadi River. Therefore, the major source of ions to the Mahanadi River is still unresolved.</p>
<p>If the carbonates (calcite and dolomite) control the ionic composition of the river water, then the following set of reactions (Equations 17&#x02013;20) are expected to take place in the Mahanadi Basin, where carbonic and sulfuric acids would be the source of protons.
<disp-formula id="E18"><label>(17)</label><mml:math id="M41"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E19"><label>(18)</label><mml:math id="M42"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mi>S</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E20"><label>(19)</label><mml:math id="M43"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mi>M</mml:mi><mml:mi>g</mml:mi><mml:msub><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:msubsup><mml:mrow><mml:mn>4</mml:mn><mml:mi>H</mml:mi><mml:mi>C</mml:mi><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E21"><label>(20)</label><mml:math id="M44"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mi>M</mml:mi><mml:mi>g</mml:mi><mml:msub><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>S</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x0002B;</mml:mo></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:msubsup><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mn>2</mml:mn><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mi>C</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
The role of nitric acid in these weathering processes has been ignored because of the low concentration of nitrate in the river water (<xref ref-type="table" rid="T1">Table 1</xref>). If the carbonates of the Mahanadi basin were the most dominant sources of the ions governed by these reactions, as suggested by Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>) as well as Panigrahy and Raymahashay (<xref ref-type="bibr" rid="B47">2005</xref>), the Ca<sup>2&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup> concentrations should be higher and should balance the <inline-formula><mml:math id="M46"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="M47"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> concentrations. The data from the present study show the dominance of Ca<sup>2&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup> ions (<xref ref-type="table" rid="T1">Table 1</xref>). The higher average molar (Ca<sup>2&#x0002B;</sup> &#x0002B; Mg<sup>2&#x0002B;</sup>)/(Na<sup>&#x0002B;</sup> &#x0002B; K<sup>&#x0002B;</sup>) cyclic salt corrected ratios in the studied samples (2.21 &#x000B1; 0.6), irrespective of the sampling season, suggest the dominance of carbonate contributions in the lower basin, despite the lack of any carbonate lithology in the Lower Mahanadi Basin.</p>
<p>Further, the tight coupling of Ca<sup>2&#x0002B;</sup> &#x0002B; Mg<sup>2&#x0002B;</sup> with <inline-formula><mml:math id="M48"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (<italic>r</italic> = 0.92) and Ca<sup>2&#x0002B;</sup> &#x0002B; Mg<sup>2&#x0002B;</sup> with <inline-formula><mml:math id="M49"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> &#x0002B; <inline-formula><mml:math id="M50"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> (<italic>r</italic> = 0.92) (<xref ref-type="fig" rid="F5">Figures 5A,B</xref>) are consistent with the origin of these ions dominantly by carbonate dissolution. However, all these samples fall below the 1:1 line (<xref ref-type="fig" rid="F5">Figures 5A,B</xref>) which suggests that the additional contribution from non-carbonate sources are required to balance the alkalinity and sulfate ions. Further, the molar Ca<sup>2&#x0002B;</sup>/ <inline-formula><mml:math id="M51"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> ratios of all the samples were found to be &#x0003E;1 (7.2 &#x000B1; 3.2), which suggests that H<sub>2</sub>SO<sub>4</sub> has no major control over the rock weathering in the studied samples (Stallard and Edmond, <xref ref-type="bibr" rid="B55">1983</xref>). This latter observation is consistent with the results of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>). Therefore, in the following discussions only <inline-formula><mml:math id="M52"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> has been used to evaluate the weathering mechanisms and the source of ions. These interpretations are further corroborated by the molar (Ca<sup>2&#x0002B;</sup> &#x0002B; Mg<sup>2&#x0002B;</sup>)/<inline-formula><mml:math id="M53"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> ratios of studied samples (0.44 &#x000B1; 0.02), which display limited variation and are lower than the theoretical value of 0.5 which is suggested for H<sub>2</sub>CO<sub>3</sub> mediated carbonate weathering.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>The good positive correlations of cyclic salt corrected Ca<sup>2&#x0002B;</sup>&#x0002B;Mg<sup>2&#x0002B;</sup> with <bold>(A)</bold> <inline-formula><mml:math id="M54"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <bold>(B)</bold> <inline-formula><mml:math id="M55"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup><mml:mo>&#x0002B;</mml:mo></mml:math></inline-formula><inline-formula><mml:math id="M56"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> suggests significant contribution from carbonate dissolution. The samples below the 1:1 line, which suggests additional contributions from the silicate weathering. The same information can be derived from the cyclic-salt corrected <bold>(C)</bold> Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> and <bold>(D)</bold> Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> variations with Si concentrations as well as ternary plots of <bold>(E)</bold> Ca<sup>2&#x0002B;</sup>-Mg<sup>2&#x0002B;</sup>-Na<sup>&#x0002B;</sup>&#x0002B;K<sup>&#x0002B;</sup> and <bold>(F)</bold> <inline-formula><mml:math id="M57"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>-Si-Cl<sup>&#x02212;</sup>&#x0002B;<inline-formula><mml:math id="M58"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> where the samples plot closer to the Ca<sup>2&#x0002B;</sup> and <inline-formula><mml:math id="M59"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> apices, respectively.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0005.tif"/>
</fig>
<p>Most of the studied water samples (<xref ref-type="fig" rid="F2">Figure 2</xref>) are supersaturated with respect to calcite and dolomite, which suggest that these ions (Ca<sup>2&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup> ions) are in excess and dominate the water chemistry of the Mahanadi River. The sources of these ions could be both silicate weathering and/or carbonate dissolution. To further ascertain the origin of these ions, Ca<sup>&#x0002A;</sup>/Na<sup>&#x0002A;</sup> and Mg<sup>&#x0002A;</sup>/Na<sup>&#x0002A;</sup> ratios were compared with Si concentrations (<xref ref-type="fig" rid="F5">Figures 5C,D</xref>). The identical broad negative trends across seasons in the distribution of these ions reflect that high cyclic salt corrected Ca/Na and Mg/Na ratios are associated with low silica concentrations and hence, rule out the dominance of silicate weathering to the river water chemistry. The same inference can be drawn from the ternary plots of cyclic salt corrected molar fractions of major cations (Ca<sup>&#x0002A;</sup>-Mg<sup>&#x0002A;</sup>-Na<sup>&#x0002A;</sup>&#x0002B;K<sup>&#x0002A;</sup>) and major anions (<inline-formula><mml:math id="M60"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>-Si-Cl<sup>&#x02212;</sup>&#x0002B;<inline-formula><mml:math id="M61"><mml:msubsup><mml:mrow><mml:mtext>SO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>), (<xref ref-type="fig" rid="F5">Figures 5E,F</xref>) where the samples plot closer to the Ca and <inline-formula><mml:math id="M62"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> apices, respectively, suggesting dominance of water chemistry by calcite weathering. A closer evaluation of these plots also reveals that the samples collected during the pre-monsoon season seem to have more carbonate fractions than silicate ones.</p>
<p>The cyclic-salt corrected elemental ratios (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, <inline-formula><mml:math id="M63"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>, Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, and Sr<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>) (<xref ref-type="fig" rid="F6">Figure 6</xref>) were used to understand the mixing of dominant endmembers. However, the direct comparison of these elemental ratios in the water samples with that of the local representative rocks is not possible as incongruent chemical weathering might fractionate the elemental ratios (e.g., Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> molar ratios, Oliva et al., <xref ref-type="bibr" rid="B45">2004</xref>). Therefore, the best probable way to relate these endmember compositions with that of the samples is to compare with the compositions of the rivers flowing through the single lithology as used by N&#x000E9;grel et al. (<xref ref-type="bibr" rid="B44">1993</xref>) and further modified by Gaillardet et al. (<xref ref-type="bibr" rid="B26">1997</xref>, <xref ref-type="bibr" rid="B27">1999b</xref>). In the plots between cyclic salt corrected molar ratios of (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>), (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(<inline-formula><mml:math id="M64"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>), and (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(Sr<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>) (<xref ref-type="fig" rid="F6">Figures 6A&#x02013;C</xref>), Mahanadi water samples across different sampling seasons plot on mixing trends between silicate and carbonate endmembers and do not show any prominent contribution from evaporites. In addition, the compositions of the Mahanadi water samples suggest contributions from of limestone rather than dolomite (<xref ref-type="fig" rid="F6">Figure 6D</xref>).</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>In plots of <bold>(A)</bold> Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> vs. <inline-formula><mml:math id="M65"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>, <bold>(B)</bold> Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> vs. Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, <bold>(C)</bold> Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> vs. Sr<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, and <bold>(D)</bold> Na<sup>&#x0002B;</sup>/Ca<sup>2&#x0002B;</sup> vs. Mg<sup>2&#x0002B;</sup>/Ca<sup>2&#x0002B;</sup> ratios, the Mahanadi River water samples plot closer to the silicate endmember. Selected samples collected during the pre-monsoon season (red) from upstream of the Naraj Barrage, display greater carbonate influence. The carbonate (limestone, dolomite), silicate, and evaporite endmember values are taken from Gaillardet et al. (<xref ref-type="bibr" rid="B27">1999b</xref>) and N&#x000E9;grel et al. (<xref ref-type="bibr" rid="B44">1993</xref>). Compositions of the groundwater samples broadly overlap with those of the river water samples and typically show greater influence of silicate rocks. Some of the groundwater samples plot closer to the evaporite endmember which possibly reflects the signature of seawater mixing.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0006.tif"/>
</fig>
<p>The higher saturation indices of calcite along with the higher Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> and <inline-formula><mml:math id="M66"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup> ratios show a relatively greater weathering of carbonates as compared to that of the silicates.</p></sec>
<sec>
<title>Radiogenic Sr Isotopes</title>
<p>The <sup>87</sup>Sr/<sup>86</sup>Sr of the Mahanadi River water samples display significant variability (0.71791&#x02013;0.72281, <xref ref-type="table" rid="T1">Table 1</xref>, <xref ref-type="fig" rid="F7">Figure 7A</xref>). This range does not include two samples showing the least radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr (0.70989), which were collected from the estuary zone near the Paradeep port and reflect influence of seawater. Although no major seasonal differences exist in the <sup>87</sup>Sr/<sup>86</sup>Sr of the water samples, the average <sup>87</sup>Sr/<sup>86</sup>Sr (0.72066, <italic>n</italic> = 10) of the water samples collected during monsoon was found to be more radiogenic than the water samples collected during pre-monsoon (0.71926, <italic>n</italic> = 15) and post-monsoon (0.71959, <italic>n</italic> = 9) (<xref ref-type="fig" rid="F7">Figure 7A</xref>). This is in accordance with the discussions on the major ion chemistry of the river, where the silicate contribution was found to be relatively higher during monsoon than non-monsoon seasons and carbonate contribution was found to be the major source of dissolved ions, particularly during the non-monsoon seasons.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Bivariate plots of <sup>87</sup>Sr/<sup>86</sup>Sr ratios with <bold>(A)</bold> 1/Sr, <bold>(B)</bold> Si, <bold>(C)</bold> cyclic salt corrected (Na<sup>&#x0002B;</sup>&#x0002B;K<sup>&#x0002B;</sup>)/TZ<sup>&#x0002B;</sup> showing compositions of the river water (circles) and groundwater (triangles) as well as the broad compositional domains of carbonates, silicates, rainwater, and fertilizers (see text for details). <bold>(D)</bold> Strong positive trend between <sup>87</sup>Sr/<sup>86</sup>Sr ratios and <inline-formula><mml:math id="M67"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> during monsoon can be explained by contributions from silicate weathering as well as phosphate fertilizers inputs. <bold>(E)</bold> High concentrations of (<inline-formula><mml:math id="M68"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) and (<inline-formula><mml:math id="M69"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) during monsoon suggests the influence of fertilizers to the river water samples.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0007.tif"/>
</fig>
<p>In the bivariate plot of <sup>87</sup>Sr/<sup>86</sup>Sr vs. 1/Sr (<xref ref-type="fig" rid="F7">Figure 7A</xref>) no definite trends were observed during the pre-monsoon and post-monsoon seasons, but during the monsoon season, the water samples display an overall negative trend, which reflects that relatively more radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr ratios are associated with the low Sr concentrations, which is a signature of silicate weathering. Additionally, high Rb/Sr ratios (average 27.6 &#x000B1; 13 nmol/&#x003BC;mol) are associated with the radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr ratios during monsoon, compared to the lower Rb/Sr in the pre-monsoon (average 22.6 &#x000B1; 9 nmol/&#x003BC;mol) and post-monsoon (average 19.8 &#x000B1; 8 nmol/&#x003BC;mol) seasons. Higher silicate weathering is expected to increase the concentration of silica along with the contribution of Na<sup>&#x0002B;</sup> and K<sup>&#x0002B;</sup> in the total cations (TZ<sup>&#x0002B;</sup>). The broad positive trends in plots of Si vs. <sup>87</sup>Sr/<sup>86</sup>Sr and (Na<sup>&#x0002A;</sup> &#x0002B; K&#x0002A;)/TZ<sup>&#x0002B;&#x0002A;</sup> vs <sup>87</sup>Sr/<sup>86</sup>Sr (<xref ref-type="fig" rid="F7">Figures 7B,C</xref>) during monsoon further confirm the above interpretation that the silicate weathering is dominant during monsoon and modulates the chemistry of the river as compared to the non-monsoon seasons; during the pre-monsoon season both carbonate and silicate dissolution control the Mahanadi River chemistry.</p>
<p>However, a close inspection of the bivariate plot of <sup>87</sup>Sr/<sup>86</sup>Sr vs. 1/Sr (<xref ref-type="fig" rid="F7">Figure 7A</xref>) reveals the effect of three endmembers: two endmembers with less-radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr but having high and low Sr concentrations and the third endmember with more radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr and intermediate Sr concentration. The less-radiogenic sources are potentially the Proterozoic carbonates present in the upper Mahanadi Basin, various fertilizers used in the agricultural fields having variable Sr concentrations, and rainwater, whereas the radiogenic source is most likely the silicate rocks (granites, gneisses, and Charnockites) present in the Lower Mahanadi River basin. However, given the varied lithology of this basin, pinpointing the silicate source is not straight forward. For instance, the Proterozoic granite gneisses of Odisha, record a wide range of <sup>87</sup>Sr/<sup>86</sup>Sr. The Sambalpur Granites record an average <sup>87</sup>Sr/<sup>86</sup>Sr of 0.71299 whereas the Angul gneisses show higher values of 0.78159 (Mohanty, <xref ref-type="bibr" rid="B40">2002</xref> and references therein). The <sup>87</sup>Sr/<sup>86</sup>Sr of Charnockites also show a wide range of variation from 0.70213 to 0.74787 (Bhattacharya et al., <xref ref-type="bibr" rid="B10">2001</xref>). Despite the wide range of <sup>87</sup>Sr/<sup>86</sup>Sr for the silicate rocks, the global average of <sup>87</sup>Sr/<sup>86</sup>Sr ratio for the silicate-draining rivers varies from 0.705 for recent magmatic provinces up to 0.735 for old crustal segments with average Sr concentration around 0.18 &#x003BC;mol/l (<xref ref-type="fig" rid="F7">Figure 7A</xref>; Gaillardet et al., <xref ref-type="bibr" rid="B27">1999b</xref>). Therefore, a source having an intermediate concentration of Sr and highly radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr has been envisaged as silicate endmember that contributes seasonally varied signatures to both the river water and groundwater. The contribution from a radiogenic source having intermediate Sr concentration is quite evident from the bivariate plot of <sup>87</sup>Sr/<sup>86</sup>Sr ratios and 1/Sr (<xref ref-type="fig" rid="F7">Figure 7A</xref>). A moderately good positive trend between Si concentration and <sup>87</sup>Sr/<sup>86</sup>Sr ratios (<xref ref-type="fig" rid="F7">Figure 7B</xref>) confirms the contribution from the silicates.</p>
<p>One of these two less-radiogenic sources having very high Sr concentration could be the Proterozoic carbonates, fertilizers, or combination of both. The Sr concentrations and <sup>87</sup>Sr/<sup>86</sup>Sr of the Proterozoic carbonates in the upper reaches of the Mahanadi River, which are a part of Chhattisgarh supergroup show average values of 3.39 &#x000B1; 1.22 mmol/l and 0.70892 &#x000B1; 0.002 (George et al., <xref ref-type="bibr" rid="B29">2019</xref>). The other plausible non-radiogenic source with high Sr concentration could be the fertilizers used in the agricultural fields in most part of the Mahanadi delta. Studies have shown that the <sup>87</sup>Sr/<sup>86</sup>Sr of most of the fertilizers used in different agricultural fields vary between 0.7066 and 0.7095 (Zou et al., <xref ref-type="bibr" rid="B68">2018</xref>; Thomsen and Andreasen, <xref ref-type="bibr" rid="B60">2019</xref>) with very high Sr concentrations. Except muriate of potash (<sup>87</sup>Sr/<sup>86</sup>Sr ratios = &#x0007E;0.749), Trivedi et al. (<xref ref-type="bibr" rid="B62">1995</xref>) reported very low <sup>87</sup>Sr/<sup>86</sup>Sr ratios (&#x0007E;0.708) together with a wide range of Sr concentrations for all the other phosphates fertilizers that are commonly used in India. The Sr ions derived from fertilizers are typically retained in soils before being released in dissolved form into groundwater and river waters via cation exchange processes (Zou et al., <xref ref-type="bibr" rid="B68">2018</xref> and references therein). Because of the similar isotopic ratios of the Proterozoic carbonates and fertilizers, it is difficult to isotopically distinguish the contributions of both these sources. To ascertain the contribution of fertilizers in the studied water samples, bivariate plots of <sup>87</sup>Sr/<sup>86</sup>Sr vs. phosphate (<inline-formula><mml:math id="M70"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>) concentrations (<xref ref-type="fig" rid="F7">Figure 7D</xref>) and <inline-formula><mml:math id="M71"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> vs. <inline-formula><mml:math id="M72"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> concentrations (<xref ref-type="fig" rid="F7">Figure 7E</xref>) were considered. High loading of nitrates and phosphates are present during monsoon (<xref ref-type="fig" rid="F7">Figure 7E</xref>) and significant positive correlation exist between <inline-formula><mml:math id="M73"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <sup>87</sup>Sr/<sup>86</sup>Sr ratios (<xref ref-type="fig" rid="F7">Figure 7D</xref>) in the same monsoonal samples, both suggesting contributions of fertilizers. This interpretation is consistent with the earlier findings of Sundaray et al. (<xref ref-type="bibr" rid="B58">2006</xref>) who reported high levels of organic pollution as indicated by Nitrogen and Phosphorus loading during peak monsoon season in the Mahanadi River. Additionally, Sundaray et al. (<xref ref-type="bibr" rid="B57">2012</xref>) also reported the high loading of metals like Fe, Cu, and Pb in the Mahanadi River during the monsoon season and their relationship with the agricultural runoff. However, Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>) refuted any major contributions from the agricultural activities, interpreted through the major ion chemistry.</p>
<p>The other less-radiogenic source having very low Sr concentration could be the rainwater. This hypothesis can be ascertained by the distribution of the monsoon samples in the bivariate plots of <sup>87</sup>Sr/<sup>86</sup>Sr ratios and 1/Sr (<xref ref-type="fig" rid="F7">Figure 7A</xref>), where the monsoon samples show a negative trend as well as form a separate cluster than the non-monsoon samples. This distribution of monsoon samples cannot be explained by the mixing between silicates and carbonates/fertilizers having high Sr concentrations. The average Sr isotopic composition of rainwater is 0.709 (Moon et al., <xref ref-type="bibr" rid="B42">2007</xref>). Therefore, rainwater dilution seems to have prominent effect on the Sr signatures of the river water samples during high runoff period.</p>
<p>To summarize, the Mahanadi River chemistry in the lower basin is modulated by contributions from four sources, viz. silicates, carbonates, fertilizers, and rainwater. The non-monsoon water samples show dominant controls from carbonate and silicate weathering, whereas the monsoon samples are mostly modulated by the silicate weathering and agricultural inputs along with the dilution effect of rainwater. Major ion indices for agricultural inputs such as <inline-formula><mml:math id="M74"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>, and K<sup>&#x0002B;</sup>/Na<sup>&#x0002B;</sup> in the present study are not consistent with the signature of fertilizer inputs unlike in the Seine River (Roy et al., <xref ref-type="bibr" rid="B54">1999</xref>) and the Changjiang Basin rivers (Chetelat et al., <xref ref-type="bibr" rid="B16">2008</xref>). However, <sup>87</sup>Sr/<sup>86</sup>Sr provides strong constraints on the agricultural/fertilizer inputs to the Mahanadi River.</p></sec>
<sec>
<title>Quantification of Silicate and Carbonate Fractions</title>
<p>Evaporation of river water, flood water, and groundwater lead to precipitation of solutes and formation of different types of sodium salts leading to the formation of alkaline/saline soils (Datta et al., <xref ref-type="bibr" rid="B21">2002</xref>; Rai et al., <xref ref-type="bibr" rid="B52">2010</xref>). This phenomenon is reported in the Indo-Gangetic plains (Datta et al., <xref ref-type="bibr" rid="B21">2002</xref>). The presence of such alkaline soils can affect the release of Na<sup>&#x0002B;</sup> to the riverine water, which complicates the use of Na<sup>&#x0002B;</sup> as a silicate weathering proxy. To estimate the influence of such soils in the water chemistry of the Mahanadi River, sodium adsorption ratio (SAR) was estimated using the following equation (e.g., Sundaray et al., <xref ref-type="bibr" rid="B56">2009</xref>):
<disp-formula id="E23"><label>(21)</label><mml:math id="M75"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>S</mml:mi><mml:mi>A</mml:mi><mml:mi>R</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>N</mml:mi><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:mfrac><mml:mrow><mml:mi>C</mml:mi><mml:mi>a</mml:mi><mml:mo>&#x0002B;</mml:mo><mml:mi>M</mml:mi><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Where, Na<sup>&#x0002B;</sup>, Ca<sup>2&#x0002B;</sup>, and Mg<sup>2&#x0002B;</sup> are in meq/l. These SAR values are related to the exchangeable sodium percentages in the soil. The results of our study show consistently lower values (average 17 &#x000B1; 7, <xref ref-type="table" rid="T1">Table 1</xref>), which are considerably lower than the SAR values reported for the water leachates of the saline-alkaline soils from the Ganges River system (Chatterjee and Singh, <xref ref-type="bibr" rid="B15">2022</xref>), which rules out the presence of any alkaline soils in the studied region. This interpretation is consistent with the results of Sundaray et al. (<xref ref-type="bibr" rid="B56">2009</xref>), who also studied this exchangeable sodium percentages in the Mahanadi lower basin. Therefore, the Na composition of the Mahanadi River is dominantly derived from the silicate weathering, as has been used in the earlier study of Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>).</p>
<p>The relative proportions of the silicate and carbonate fractions in the samples of the Mahanadi River were evaluated using the Equations 6, 7 through the forward modeling approach. The accuracy of this quantification depends on the precise definitions of the endmembers Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> ratios. However, it is difficult to ascertain these endmembers ratios accurately in a basin having a heterogeneous lithology like the Mahanadi Basin. In the forward model approach, the (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)<sub>sil</sub> and (Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)<sub>sil</sub> ratios (0.61 and 0.27, respectively), were taken from the average compositions of the river bed sediments of the three tributaries the Tel, Ong and Ib data from Bastia and Equeenuddin (<xref ref-type="bibr" rid="B7">2019</xref>), which flow primarily over silicate rocks of the Mahanadi basin, following the approaches of Blum et al. (<xref ref-type="bibr" rid="B11">1998</xref>) and Wu et al. (<xref ref-type="bibr" rid="B66">2008</xref>). After removing some outliers&#x00027; estimations statistically, the average values for the silicate and carbonate contributions to the water chemistry of the Mahanadi River were found to be 28 &#x000B1; 4 and 56 &#x000B1; 6%, respectively. The contributions from the silicate weathering during monsoon (30 &#x000B1; 2 %) was found to be higher than that of the pre-monsoon season (26 &#x000B1; 3 %) (<xref ref-type="fig" rid="F8">Figure 8A</xref>), which were in accordance with the earlier discussions.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Percentage source contributions of different endmembers to the water chemistry of the Mahanadi River from the <bold>(A)</bold> Forward model and <bold>(B)</bold> Inverse model. The error bars are the 1&#x003C3; standard deviation values. In the inverse model, the contributions from the agricultural runoff have been increased by a factor of 10 for better graphical representation. See text for details.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0008.tif"/>
</fig>
<p>In the inverse model estimation, the set of a priori endmember values (<xref ref-type="table" rid="T2">Table 2</xref>) are used from the available literature that are best suited for the Mahanadi River drainage basin. The Na-normalized major ions ratios (Cl<sup>&#x02212;</sup>/Na<sup>&#x0002B;</sup>, Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>, <inline-formula><mml:math id="M76"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>) for the rainwater endmember were taken from the mean rainwater data reported for an urban site (Bhubaneswar) situated over the Lower Mahanadi Drainage Basin (Das R. et al., <xref ref-type="bibr" rid="B20">2005</xref>). The <sup>87</sup>Sr/<sup>86</sup>Sr for the rainwater was taken from Moon et al. (<xref ref-type="bibr" rid="B42">2007</xref>). The global average Na-normalized ratios and <sup>87</sup>Sr/<sup>86</sup>Sr for the carbonates (Moon et al., <xref ref-type="bibr" rid="B42">2007</xref>) were considered in the present study. In addition, estimations from the Millot et al. (<xref ref-type="bibr" rid="B39">2003</xref>) and Moon et al. (<xref ref-type="bibr" rid="B42">2007</xref>) have been considered for the silicate endmember, since the Na-normalized Ca<sup>2&#x0002B;</sup> and Mg<sup>2&#x0002B;</sup> ratios of this endmember are closer to the surface sediments of the tributaries of the Mahanadi River traversing through a silicate terrain (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B7">2019</xref>). For the chemical signature of the agriculture endmember, the estimations from the Roy et al. (<xref ref-type="bibr" rid="B54">1999</xref>) and Chetelat et al. (<xref ref-type="bibr" rid="B16">2008</xref>) have been considered, assuming that agricultural inputs are only affecting the compositions of Na<sup>&#x0002B;</sup>, Cl<sup>&#x02212;</sup> and <inline-formula><mml:math id="M77"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and all <inline-formula><mml:math id="M78"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> in river water are derived from agricultural runoff (e.g., Roy et al., <xref ref-type="bibr" rid="B54">1999</xref>).</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>A priori molar ratios and <sup>87</sup>Sr/<sup>86</sup>Sr for the various end-members used in the inverse model and associated uncertainties.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Endmembers</bold></th>
<th valign="top" align="center"><bold>Cl/Na</bold></th>
<th valign="top" align="center"><bold>Ca/Na</bold></th>
<th valign="top" align="center"><bold>Mg/Na</bold></th>
<th valign="top" align="center"><bold>HCO<sub><bold>3</bold></sub>/Na</bold></th>
<th valign="top" align="center"><bold>NO<sub><bold>3</bold></sub>/Na</bold></th>
<th valign="top" align="center"><bold>1,000 &#x0002A; Sr/Na</bold></th>
<th valign="top" align="center"><bold><sup><bold>87</bold></sup>Sr/<sup><bold>86</bold></sup>Sr</bold></th>
<th valign="top" align="left"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Rainwater</td>
<td valign="top" align="center">1.1 &#x000B1; 0.13</td>
<td valign="top" align="center">0.62 &#x000B1; 0.08</td>
<td valign="top" align="center">0.18 &#x000B1; 0.01</td>
<td valign="top" align="center">0.59 &#x000B1; 0.36</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">0.19</td>
<td valign="top" align="center">0.709 &#x000B1; 0.001</td>
<td valign="top" align="left">Das R. et al. (<xref ref-type="bibr" rid="B20">2005</xref>); Moon et al. (<xref ref-type="bibr" rid="B42">2007</xref>)</td>
</tr>
<tr>
<td valign="top" align="left">Silicate</td>
<td valign="top" align="center">0.001 &#x000B1; 0.001</td>
<td valign="top" align="center">0.35 &#x000B1; 0.15</td>
<td valign="top" align="center">0.24 &#x000B1; 0.12</td>
<td valign="top" align="center">2 &#x000B1; 1</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">3 &#x000B1; 1</td>
<td valign="top" align="center">0.76 &#x000B1; 0.04</td>
<td valign="top" align="left">Millot et al. (<xref ref-type="bibr" rid="B39">2003</xref>); Moon et al. (<xref ref-type="bibr" rid="B42">2007</xref>)</td>
</tr>
<tr>
<td valign="top" align="left">Carbonate</td>
<td valign="top" align="center">0.001 &#x000B1; 0.001</td>
<td valign="top" align="center">50 &#x000B1; 20</td>
<td valign="top" align="center">20 &#x000B1; 8</td>
<td valign="top" align="center">100 &#x000B1; 40</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">75 &#x000B1; 25</td>
<td valign="top" align="center">0.708 &#x000B1; 0.001</td>
<td valign="top" align="left">Moon et al. (<xref ref-type="bibr" rid="B42">2007</xref>)</td>
</tr>
<tr>
<td valign="top" align="left">Agriculture</td>
<td valign="top" align="center">5 &#x000B1; 1</td>
<td/>
<td valign="top" align="center">1 &#x000B1; 0.1</td>
<td/>
<td valign="top" align="center">4 &#x000B1; 1</td>
<td/>
<td/>
<td valign="top" align="left">Roy et al. (<xref ref-type="bibr" rid="B54">1999</xref>); Chetelat et al. (<xref ref-type="bibr" rid="B16">2008</xref>)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The inverse model results for the Mahanadi River (<xref ref-type="fig" rid="F8">Figure 8B</xref>) show that the dissolution of carbonates dominates the water chemistry of the Lower Mahanadi basin followed by the weathering of silicates. These results from the inverse model broadly overlap with the results of the forward model (<xref ref-type="fig" rid="F8">Figure 8A</xref>). The average silicate and carbonate contributions to the Mahanadi River chemistry were found to be (31 &#x000B1; 4 and 45 &#x000B1; 17%, respectively), which are comparable to that of the forward model as discussed above (<xref ref-type="fig" rid="F8">Figure 8A</xref>). The agricultural input to the Mahanadi River chemistry were found to be low (&#x0003C;2%) in comparison to the other global rivers. This is consistent with the observed low <inline-formula><mml:math id="M79"><mml:msubsup><mml:mrow><mml:mtext>NO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> values in most of the locations throughout the studied period. However, a seasonal variation was observed in the studied samples where, the contributions during the Monsoon season (<xref ref-type="fig" rid="F8">Figure 8B</xref>) were higher than that of the non-monsoon seasons for most of the studied locations. This observation supports our earlier claim that the water samples during the monsoon season are influenced by the fertilizer inputs. The minor discrepancies between the forward and inverse model results can be attributed to the differences in the release ratios of the major ions between the two models, which has also been observed in the earlier studies (e.g., Wu et al., <xref ref-type="bibr" rid="B65">2005</xref>; Tripathy and Singh, <xref ref-type="bibr" rid="B61">2010</xref>).</p>
<p>Overall, the major source of ions to the lower catchment of the Mahanadi River is the dissolution of carbonates followed by the contribution from silicate weathering and fertilizers. No significant contribution from evaporites were observed in the studied samples. Distinct seasonal changes in the source rocks contributions modulate the distribution of ions and <sup>87</sup>Sr/<sup>86</sup>Sr.The pre-monsoon samples represent more carbonate component, and the monsoon samples record more contributions from silicate weathering compared to the other seasons.</p></sec></sec></sec>
<sec>
<title>Characteristics of Denudation Regime</title>
<p>Based on the above discussions, the ionic compositions in the dissolved component of the Mahanadi lower basin are primarily modulated by the chemical weathering of rocks; contributions from carbonate components outpace that of the silicate components in most of the samples. The silicate component in the Mahanadi River is primarily derived from the granites, gneisses, and charnockites, which are present in the lower reaches of the basin. Therefore, the dominance of the carbonate component in the river water composition might be due to the high susceptibility of carbonates to weathering and/or the transport-limited weathering regime. In later case, contributions to the river loads by different lithologies are proportional only to their area of exposure. In the Lower Mahanadi Basin, most of the drainage area is covered with thick alluvium, a signature of transport-limited denudation where the maximum erosion rate exceeds the ability of transport processes to remove the material (Stallard and Edmond, <xref ref-type="bibr" rid="B55">1983</xref>). Therefore, the contributions of different lithologies to the dissolved loads of the river should be proportional to the area of exposure and independent of their relative susceptibility to weathering. Hence, the chemical weathering intensity is expected to be low to moderate in these weathering regimes (Stallard and Edmond, <xref ref-type="bibr" rid="B55">1983</xref>; Murnane and Stallard, <xref ref-type="bibr" rid="B43">1990</xref>).</p>
<p>To validate the characteristics of the denudation regime (transport-limited), the degree of weathering in the studied drainage basin, the molecular ratio between the dissolved silica and cations resulting from silicate rock weathering has been evaluated. In this study, the Re molar index (Equation 18), initially proposed by Tardy (<xref ref-type="bibr" rid="B59">1971</xref>) and later modified by Boeglin and Probst (<xref ref-type="bibr" rid="B12">1998</xref>) has been used.
<disp-formula id="E24"><label>(22)</label><mml:math id="M80"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>R</mml:mi><mml:mi>e</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>3</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>3</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>1</mml:mn><mml:mo>.</mml:mo><mml:mn>25</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>2</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:mi>S</mml:mi><mml:mi>i</mml:mi><mml:msub><mml:mrow><mml:mi>O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>5</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>5</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mn>0</mml:mn><mml:mo>.</mml:mo><mml:mn>75</mml:mn><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>M</mml:mi><mml:msup><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>&#x0002B;</mml:mo><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mi>C</mml:mi><mml:msup><mml:mrow><mml:mi>a</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
where the superscript <sup>&#x0002A;</sup> denotes the cyclic salt corrected concentrations of major ions. In the present study, instead of the cyclic salt corrected values, the silicate fractions obtained from the inverse model were used to evaluate the Re index for the samples. This modified approach was used to rule out the influence of the carbonate fractions on this index, which is primarily designed to evaluate the rock weathering in a granite and gneiss terrains (Boeglin and Probst, <xref ref-type="bibr" rid="B12">1998</xref>). The value of Re decreases with increase in the weathering rates. The average Re molar index in the present studied samples, is 2.6 &#x000B1; 0.6, which suggests that the weathering intensity is moderate, as inferred earlier, and favor the formation of more kaolinite with less smectite (Boeglin and Probst, <xref ref-type="bibr" rid="B12">1998</xref>; Meunier et al., <xref ref-type="bibr" rid="B36">2015</xref>). This interpretation is further corroborated by the mineral chemistry of the bedrocks, which is primarily dominated by the kaolinite and illite, having low to moderate chemical index of alteration (Bastia et al., <xref ref-type="bibr" rid="B6">2020</xref>; Babu et al., <xref ref-type="bibr" rid="B4">2021</xref>).</p></sec>
<sec>
<title>Effect of Naraj Barrage on Riverine Chemistry</title>
<p>In the upstream of the Naraj Barrage, the Mahanadi River flows as a single channel, but downstream of the Naraj Barrage, it segregates into several canals and channels (<xref ref-type="fig" rid="F1">Figure 1</xref>). Therefore, between the locations of the Hirakud dam and the Naraj Barrage the effect of sources and processes are expected to be coherent and represent a definite trend in all the samples, which gets perturbed in the river section between the Naraj Barrage and the Paradeep port (<xref ref-type="fig" rid="F1">Figure 1</xref>). The distinct changes in the spatial distribution patterns of chemical compositions have been observed, for example, the sudden changes in the concentrations of Cl<sup>&#x02212;</sup> ion and pH along with the pollution index (<xref ref-type="fig" rid="F2">Figure 2</xref>), which possibly reflect the increase in the anthropogenic contribution in the downstream part of the river after the Naraj Barrage. These changes are also reflected in the saturation indices of calcite and dolomite, which mimic the pH distribution patterns in all seasons (<xref ref-type="fig" rid="F2">Figure 2</xref>).</p>
<p>The effect of this Barrage on the contribution of carbonate and silicate fractions to the riverine chemistry has also been observed. For instance, in the bivariate plots of (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(Mg<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>), (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(<inline-formula><mml:math id="M81"><mml:msubsup><mml:mrow><mml:mtext>HCO</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow><mml:mrow><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula>/Na<sup>&#x0002B;</sup>), and (Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>)/(Sr<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup>) (<xref ref-type="fig" rid="F6">Figure 6</xref>), the samples of the pre-monsoon season having more carbonate contributions are mostly from the upstream of the Naraj Barrage. In the downstream section of the river after the Naraj Barrage, the pre-monsoon samples show the mixed contribution but having the dominance of more silicate weathering (<xref ref-type="fig" rid="F9">Figure 9A</xref>). The results from the inverse model also validate the above interpretation. The samples from the downstream of the Naraj Barrage during pre-monsoon have more silicate contributions (&#x0007E;28% &#x000B1; 3) than that of the samples collected from the upstream of the Barrage (&#x0007E;23% &#x000B1; 0.56). However, these trends were absent in the ionic ratios of the samples collected during monsoon, where the spatial distinction between silicate and carbonate contributions is not evident. The negative trend between the Ca<sup>&#x0002A;</sup>/Na<sup>&#x0002A;</sup> and <sup>87</sup>Sr/<sup>86</sup>Sr ratios (<xref ref-type="fig" rid="F9">Figure 9B</xref>) in the upstream of the Naraj Barrage is consistent with the dissolution of carbonates as the dominant sources of ions. However, downstream of the Naraj Barrage, the relationship between Ca<sup>&#x0002A;</sup>/Na<sup>&#x0002A;</sup> and <sup>87</sup>Sr/<sup>86</sup>Sr (<xref ref-type="fig" rid="F9">Figure 9A</xref>) shows a positive trend for most of the samples. However, the obscured nature of this relationship in the downstream possibly reflects the effects of agricultural inputs as discussed earlier.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p>Distinct differences in the trends of cyclic salt corrected Ca<sup>2&#x0002B;</sup>/Na<sup>&#x0002B;</sup> and <sup>87</sup>Sr/<sup>86</sup>Sr in the Mahanadi water samples collected <bold>(A)</bold> downstream and <bold>(B)</bold> upstream of the Naraj Barrage. The negative trends observed in samples collected from upstream of the Naraj Barrage <bold>(B)</bold> suggest the dominance of carbonate dissolution, which is contrasts with the samples collected downstream of the Naraj Barrage <bold>(A)</bold>.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0009.tif"/>
</fig></sec>
<sec>
<title>Groundwater, River Water, and Seawater Interaction</title>
<p>One distinct trend observed in the groundwater samples was comparatively low pH and high EC during monsoon relative to pre-monsoon (<xref ref-type="table" rid="T1">Table 1</xref>). These trends are just opposite to the trends observed in the river waters. The high EC of river water samples during pre-monsoon can be the result of evaporation and/or the groundwater discharge into the river as speculated also by Chakrapani and Subramanian (<xref ref-type="bibr" rid="B14">1990</xref>). Interestingly, three groundwater samples collected during monsoon (G5, G6, and G12) and one during pre-monsoon season (G9) show very low Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> ratios (&#x0003C;0.65) (<xref ref-type="fig" rid="F10">Figure 10A</xref>), which cannot be solely explained by seawater and fresh groundwater mixing. A major source of chloride ions to these groundwater samples would be the seawater. The distributions of groundwater samples in the Piper diagram (<xref ref-type="fig" rid="F10">Figure 10B</xref>) suggest that some of the samples are characterized by Ca-Mg-Na-HCO<sub>3</sub> water type, which represent a typical coastal aquifer system (<xref ref-type="fig" rid="F10">Figure 10B</xref>). Some of these samples adjacent to the coast (G12, G6) represent Na-Mg-Ca-Cl water type representing the intrusion of seawater. The strong positive correlation of chloride ion with the EC (<italic>r</italic><sup>2</sup> = 0.96) during monsoon confirms the above interpretation. Surprisingly, the sample collected close to the Naraj Barrage(G5), which was collected during the monsoon also record the seawater ionic signature with very low Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> ratio (0.51) (<xref ref-type="fig" rid="F10">Figure 10A</xref>). A moderate negative correlation between the sampling distance from the coast and chloride ion (<italic>r</italic><sup>2</sup> = 0.77) and Ca-Cl water type (<xref ref-type="fig" rid="F10">Figure 10A</xref>) suggest that the composition of G5, most likely represents a seawater mixing signature. The other probable source of chloride ion would be the fertilizers from the agricultural fields. As discussed in earlier sections, the monsoon samples show signatures of fertilizer inputs. Hence, the same fertilizer can also be the source of these excess chloride ions in the groundwater samples. The distribution of <sup>87</sup>Sr/<sup>86</sup>Sr in the groundwater samples during monsoon season show the mixing between surface water and another source having less radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr and high Sr (<xref ref-type="fig" rid="F7">Figure 7A</xref>). This latter less radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr source is presumed to be the seawater and/or fertilizers as explained for the river water chemistry (Section Silicate vs. Carbonate Weathering). However, it is difficult to quantify the groundwater-river water interaction because no definite relationships in terms of elemental or isotopic ratios were observed between the groundwater and nearby river water samples in the studied region (<xref ref-type="fig" rid="F7">Figure 7A</xref>). The lack of a distinct trend is possibly the result of the complex distribution pattern of hydrogeological zones in the deltaic region of the Mahanadi River as outlined by Radhakrishna (<xref ref-type="bibr" rid="B51">2001</xref>).</p>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p>Distributions of groundwater samples in <bold>(A)</bold> Na<sup>&#x0002B;</sup>/Cl<sup>&#x02212;</sup> vs. Cl<sup>&#x02212;</sup> bivariate plot and <bold>(B)</bold> Piper plot. These plots suggest influence of seawater intrusion in the studied samples.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="frwa-04-846438-g0010.tif"/>
</fig></sec>
<sec>
<title>Sr-Flux From the Mahanadi Basin to the Global Ocean</title>
<p>The <sup>87</sup>Sr/<sup>86</sup>Sr of river waters reflect their source rock compositions and modulate the global Sr-budget. Changes in the <sup>87</sup>Sr/<sup>86</sup>Sr of marine sediments reflect the tectonic history of the continents (e.g., Richter et al., <xref ref-type="bibr" rid="B53">1992</xref>) and can be used to establish the source rock composition of the sediments (e.g., Acharya and Chakrabarti, <xref ref-type="bibr" rid="B1">2019</xref>). Variations of <sup>87</sup>Sr/<sup>86</sup>Sr in seawater primarily depend on the continental weathering rates that vary from one riverine basin to others. Therefore, it is of prime-importance to estimate the Sr-flux from different riverine systems to the oceanic realm, especially for major rivers like Mahanadi, which is traversing through heterogeneous lithologies.</p>
<p>The average water discharge of the Mahanadi River to the Bay of Bengal is 49 &#x000B1; 16 &#x000D7; 10<sup>12</sup> liter/year (Bastia and Equeenuddin, <xref ref-type="bibr" rid="B8">2016</xref>). The average Sr concentration and <sup>87</sup>Sr/<sup>86</sup>Sr of this river are 1.17 &#x000B1; 0.24 &#x003BC;mol/l and 0.71959 &#x000B1; 0.001, respectively. Therefore, the annual flux of Sr to the Bay of Bengal from the Mahanadi River varies from 30.7 &#x000D7; 10<sup>12</sup> &#x003BC;mol/year to 91.7 &#x000D7; 10<sup>12</sup> &#x003BC;mol/year, which is &#x0007E;0.1&#x02013;0.3% of global average riverine flux (3.3 &#x000D7; 10<sup>16</sup> &#x003BC;mol/year) to the global ocean (Basu et al., <xref ref-type="bibr" rid="B9">2001</xref>). Considering the riverine flux near the Hirakud dam, Boudh and Naraj Barrage (India-WRIS, <xref ref-type="bibr" rid="B31">2019</xref>), the flux-weighted averages of Sr concentration and <sup>87</sup>Sr/<sup>86</sup>Sr were found to be 1.03 &#x003BC;mol/l and 0.72154, respectively. The Sr-flux of the Mahanadi basin is around 12% of the combined Ganges-Brahmaputra flux (Basu et al., <xref ref-type="bibr" rid="B9">2001</xref>) to the Bay of Bengal. The <sup>87</sup>Sr/<sup>86</sup>Sr of the Mahanadi basin exceeds the average global runoff value of 0.7119 (Krishnaswami et al., <xref ref-type="bibr" rid="B34">1992</xref>; Richter et al., <xref ref-type="bibr" rid="B53">1992</xref>; Basu et al., <xref ref-type="bibr" rid="B9">2001</xref>) and falls within the range of 0.7170&#x02013;0.7300 of Ganges-Brahmaputra system. The groundwater samples of the Mahanadi basin show an average Sr concentration of 5.45 &#x000B1; 3.64 &#x003BC;mol/l having an average <sup>87</sup>Sr/<sup>86</sup>Sr of 0.71772 &#x000B1; 0.003, which is comparatively higher than the reported Sr concentrations (4.5 &#x003BC;mol/l) and <sup>87</sup>Sr/<sup>86</sup>Sr ratios (0.715&#x02013;0.720) from the groundwater samples of the Ganges basin (Basu et al., <xref ref-type="bibr" rid="B9">2001</xref>). This finding has implications for the submarine groundwater discharge derived Sr flux to the Bay of Bengal (Chakrabarti et al., <xref ref-type="bibr" rid="B13">2018</xref>).</p></sec></sec>
<sec sec-type="conclusions" id="s6">
<title>Conclusions</title>
<list list-type="order">
<list-item><p>Lower pollution index (average 20%) suggests that the major ion chemistry of the Mahanadi River is less affected by anthropogenic pollution, despite the presence of some major industries and densely populated cities along its course. Rapid dilution away from the source of the pollutants and subsequent precipitation can explain the low pollution in the dissolved load of the river.</p></list-item>
<list-item><p>Major ion chemistry and <sup>87</sup>Sr/<sup>86</sup>Sr of the river water samples indicate that seasonally mediated carbonate dissolution and silicate weathering modulate the chemistry of the Lower Mahanadi River Basin. Both forward and inverse model results show that the dissolution of carbonates influence the water chemistry of the Mahanadi River, followed by the contributions from the silicate weathering. These contributions vary seasonally and during the monsoon, the contributions from the silicate weathering is relatively high compared to the pre-monsoon season.</p></list-item>
<list-item><p>A strong relationship between the <inline-formula><mml:math id="M82"><mml:msubsup><mml:mrow><mml:mtext>PO</mml:mtext></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msubsup></mml:math></inline-formula> and <sup>87</sup>Sr/<sup>86</sup>Sr was observed in the samples collected during the monsoon season, which suggests significant contributions from fertilizers to the river water during the monsoon in addition to silicate weathering. The high loading of nitrate and phosphates during the monsoon season is consistent with high agricultural inputs.</p></list-item>
<list-item><p>The Naraj Barrage, an artificial water barrier separates the dominance regimes of silicate and carbonate dissolution, even though no carbonate lithology is present in the Lower Mahanadi Basin. Water samples collected from upstream of the Naraj Barrage show dominance of carbonate dissolution especially in the pre-monsoon season, while those collected farther downstream, the signatures of silicate weathering were prominent especially during the monsoon season along with the contribution from the fertilizers.</p></list-item>
<list-item><p>The groundwater composition of the Lower Mahanadi Basin was found to be modulated by the mixing of four endmembers, viz. weathering of silicate and carbonate rocks, the mixing of Bay of Bengal seawater and fertilizer inputs. Most of the groundwater samples are characterized by Ca-Mg-Na-HCO<sub>3</sub> and Na-Mg-Ca-Cl compositions, which are the characteristic of coastal groundwater and seawater intrusion, respectively.</p></list-item>
<list-item><p>The flux-weighted averages of Sr concentration and <sup>87</sup>Sr/<sup>86</sup>Sr were found to be 1.03 &#x003BC;mol/l and 0.72154, respectively, and the latter was found to exceed the average global runoff value of 0.7119 and overlaps the range of Ganges-Brahmaputra system. The groundwater samples show relatively higher Sr concentrations and radiogenic <sup>87</sup>Sr/<sup>86</sup>Sr compared to groundwater from the Ganges Basin, which has implications for submarine groundwater derived Sr flux to the Bay of Bengal.</p></list-item>
</list></sec>
<sec sec-type="data-availability" id="s7">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author/s.</p></sec>
<sec id="s8">
<title>Author Contributions</title>
<p>SA and RC were involved in conceptualization of the study. SA, VH, and RC were involved in drafting the manuscript and interpretation of the data. SA collected all the samples used in this study. SA and VH analysed the samples. RC supervised this study. All authors reviewed and approved the manuscript.</p></sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>SA acknowledges the Science &#x00026; Engineering Research Board, Government of India for providing financial support through National Post-Doctoral Fellowship (N-PDF) grant (PDF/2016/000411). VH acknowledges partial salary support from the Ministry of Earth Sciences, India (MOES/PAMC/H&#x00026;C/41/2013-PC-II).</p></sec>
<sec sec-type="COI-statement" id="conf1">
<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 sec-type="disclaimer" id="s10">
<title>Publisher&#x00027;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p></sec>
</body>
<back>
<ack><p>The authors acknowledge Dr. Jean Riotte and Hemanth Moger of Indo French Cell for Water Sciences, Indian Institute of Science (IISc), Bangalore for helping with the measurements of anion concentrations. We thank the editor and the two reviewers for their comments and suggestions.</p>
</ack>
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