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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Earth Sci.</journal-id>
<journal-title>Frontiers in Earth Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Earth Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-6463</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1227691</article-id>
<article-id pub-id-type="doi">10.3389/feart.2023.1227691</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Earth Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Application of gravity and remote sensing data to groundwater potential in Wadi Ar-Ramah, Saudi Arabia</article-title>
<alt-title alt-title-type="left-running-head">Mohamed and Alshehri</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/feart.2023.1227691">10.3389/feart.2023.1227691</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Mohamed</surname>
<given-names>Ahmed</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1737306/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Alshehri</surname>
<given-names>Fahad</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1855648/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Abdullah Alrushaid Chair for Earth Science Remote Sensing Research</institution>, <institution>Geology and Geophysics Department</institution>, <institution>College of Science</institution>, <institution>King Saud University</institution>, <addr-line>Riyadh</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Geology Department</institution>, <institution>Faculty of Science</institution>, <institution>Assiut University</institution>, <addr-line>Assiut</addr-line>, <country>Egypt</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1589638/overview">Ahmed M. Eldosouky</ext-link>, Suez University, Egypt</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2229861/overview">Cheikh Faye</ext-link>, Ziguinchor University, Senegal</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2371671/overview">Swapan Talukdar</ext-link>, Jamia Millia Islamia, India</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Ahmed Mohamed, <email>ahmedmohamed@aun.edu.eg</email>; Fahad Alshehri, <email>falshehria@ksu.edu.sa</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1227691</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>01</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Mohamed and Alshehri.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Mohamed and Alshehri</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>Water scarcity is developing in the Middle East as a result of the region&#x2019;s growing population and tremendously advanced agricultural and industrial sectors. Saudi Arabia is the Middle East country with the highest water consumption, so there is an urgent need to take action, and new technology advancements in geophysical measurements allow for the monitoring of groundwater. Wadi Ar-Ramah is one region that has witnessed significant agricultural expansion as well as a serious over-exploitation of the groundwater resources that are available there. Depletion rate in groundwater of the Wadi Ar-Ramah basin at eastern Saudi Arabia was determined for the time interval of 04/2002 to 12/2021 using a combination of gravity data from the Gravity Recovery and Climate Experiment (GRACE) mission and results of land surface models. The findings are: 1) the average yearly rainfall rate was computed at 87.7&#xa0;mm yr<sup>&#x2212;1</sup> over the Wadi Ar-Ramah; 2) the terrestrial water storage variation (&#x394;TWS) was computed at &#x2212;1.216 &#xb1; 0.013&#xa0;cm yr<sup>&#x2212;1</sup>; 3) the GLDAS-derived soil moisture (&#x394;SMS) was minimal at &#x2212;0.32 &#xb1; 0.025&#xa0;mm yr<sup>&#x2212;1</sup>; 4) the GRACE-derievd groundwater decreasing rate was calculated at 1.212 &#xb1; 0.012&#xa0;cm yr<sup>&#x2212;1</sup>; 5) the relief of the ground surface is producing northeasterly streams that carry the minimal surface water to the east; 6) our integrated method provides a repeatable and cost-effective approach.</p>
</abstract>
<kwd-group>
<kwd>geophysical data</kwd>
<kwd>GLDAS</kwd>
<kwd>groundwater depletion</kwd>
<kwd>Wadi Ar-Ramah</kwd>
<kwd>Saudi Arabia</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Solid Earth Geophysics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>At least 2 billion people rely on groundwater as the world&#x2019;s largest and most dependable source of freshwater, with the majority of them living in arid and dry zones (<xref ref-type="bibr" rid="B54">Taylor et al., 2013</xref>; <xref ref-type="bibr" rid="B22">Jasechko et al., 2017</xref>; <xref ref-type="bibr" rid="B50">Sun et al., 2022</xref>). Globally, groundwater is the source of one-third of all freshwater exploitation, supplying an estimated 36%, 42%, and 27% of the water used for domestic, agricultural, and industrial purposes, respectively (<xref ref-type="bibr" rid="B15">D&#xf6;ll et al., 2012</xref>). In recent decades, the increased use of groundwater for human consumption and agriculture has led to a decline in groundwater levels in many regions of the globe (<xref ref-type="bibr" rid="B7">Castellazzi et al., 2016</xref>; <xref ref-type="bibr" rid="B38">Narany et al., 2017</xref>; <xref ref-type="bibr" rid="B12">Cui et al., 2020</xref>). As a result, aquifers have been depleting, which has caused a number of environmental and geological problems, including land subsidence and the destruction of wetlands (<xref ref-type="bibr" rid="B13">Dalin et al., 2017</xref>). Improving groundwater management is necessary to ensure its sustainable usage and reasonable expansion. Saudi Arabia is regarded as one of the driest countries in the world, despite the fact that 99.84% of the country&#x2019;s population have access to drinkable water (<xref ref-type="bibr" rid="B68">General Authority of Statistics, 2019</xref>). Saudi Arabia only has 89&#xa0;m<sup>3</sup>/cap./year of absolute water scarcity, compared to 500&#xa0;m<sup>3</sup>/cap./year worldwide. (Water Challenges in KSA, 2021).</p>
<p>In arid and semiarid regions, it is crucial to evaluate groundwater resources, hydrogeologic settings of aquifers, and recharge and/or discharge (natural or anthropogenic) of these systems in order to establish effective management scenarios for these resources and the economic development of such locations (<xref ref-type="bibr" rid="B69">Simmers, 1997</xref>). Much of the groundwater in dry regions is used for irrigation, which accounts for roughly 70% of the world&#x2019;s water withdrawal and 90% of its consumption (<xref ref-type="bibr" rid="B47">Siebert et al., 2010</xref>; <xref ref-type="bibr" rid="B19">Gerten et al., 2020</xref>).</p>
<p>Groundwater, surface water (dams, reservoirs, rivers, and lakes), snow, soil moisture, plant canopy water, and glaciers all contribute to the total amount of water stored on and below the land&#x2019;s surface, which is referred to as &#x201c;terrestrial water storage&#x201d; (TWS) (<xref ref-type="bibr" rid="B67">Zhu et al., 2021</xref>). Changes in the TWS can efficiently indicate the equilibrium or imbalance of water fluxes that are substantially impacted by regional climate conditions (<xref ref-type="bibr" rid="B67">Zhu et al., 2021</xref>). Recent global warming has increased TWS variability in many dry and semi arid settings (<xref ref-type="bibr" rid="B63">Wang et al., 2018</xref>; <xref ref-type="bibr" rid="B9">Chang et al., 2020</xref>; <xref ref-type="bibr" rid="B46">Shugar et al., 2021</xref>; <xref ref-type="bibr" rid="B66">Yang, et al., 2022</xref>). As a result, correct TWS calculation is critical for understanding regional hydrological processes, which allow effective basin-scale water resource allocation and management.</p>
<p>The goal of groundwater management (<xref ref-type="bibr" rid="B1">Ahamed, et al., 2021</xref>) is to develop methods for accurately estimating and monitoring changes in GWS across temporal and spatial scales. Several huge aquifers have been significantly depleted in several regions throughout the world as a result of human activity; these regions include North Africa, South and Central Asia, the Middle East, North China, Australia, and North America (<xref ref-type="bibr" rid="B42">Rodell, et al., 2009</xref>; <xref ref-type="bibr" rid="B50">Sun et al., 2022</xref>). Historically, scientists have attempted to predict GWS changes using <italic>in situ</italic> observation (such as monitoring changes in groundwater level), the water balance approach, and hydrological modeling techniques (<xref ref-type="bibr" rid="B1">Ahamed et al., 2021</xref>; <xref ref-type="bibr" rid="B50">Sun et al., 2022</xref>). Although these techniques have been employed in a number of earlier research, they are constrained by real-world constraints including the dispersed nature of observation wells. Therefore, it remains a significant problem on a global scale to manage refined groundwater resources in a reliable and timely manner, as required.</p>
<p>Several strategies, including physical and chemical methods, <italic>in situ</italic> measuring, satellite remote sensing, and modeling techniques, have been used to estimate the TWS and assess the recharge, discharge, and depletion rates of aquifer systems, as well as to investigate the connectivity of their subbasins (<xref ref-type="bibr" rid="B11">Cox and Chao, 2002</xref>; <xref ref-type="bibr" rid="B70">de Vries and Simmers, 2002</xref>; <xref ref-type="bibr" rid="B8">Cazenave and Nerem, 2002</xref>; <xref ref-type="bibr" rid="B45">Scanlon et al., 2016</xref>; <xref ref-type="bibr" rid="B40">Ramillien et al., 2005</xref>; <xref ref-type="bibr" rid="B42">Rodell et al., 2009</xref>). These methods are difficult to use on a regional scale, and their results are sometimes suspicious due to the scarcity of datasets required for implementation, as well as the substantial efforts and resources required to obtain them. Satellite remote sensing only captures information on surface water bodies, and the precision of model parameters influences numerical modeling. Fortunately, the implementation of the Gravity Recovery and Climate Experiment (GRACE) and GRACE Follow-On (GRACE-FO) can address these shortcomings and limitations by providing a new remote sensing technique for monitoring monthly TWS (<xref ref-type="bibr" rid="B10">Chen et al., 2016</xref>).</p>
<p>As a twin satellite-to-satellite monitoring mission, the GRACE mission started in March 2002 enables us to compute the average and time-varying components of the Earth&#x2019;s gravitational field (<xref ref-type="bibr" rid="B52">Tapley et al., 2004</xref>). Hydrological signals dominate the gravitational field&#x2019;s change, hence GRACE data can be used to correctly quantify TWS fluctuations (<xref ref-type="bibr" rid="B2">Ahmed, et al., 2014</xref>; <xref ref-type="bibr" rid="B53">Tapley et al., 2019</xref>). GRACE can detect water storage changes to within 1&#x2013;1.5&#xa0;cm worldwide (<xref ref-type="bibr" rid="B61">Wahr et al., 2004</xref>), despite having a poorer spatial resolution (300&#xa0;km). The GRACE mission terminated in October of 2017, however the mission that replaced it, which began operations in May 2018, is still delivering consistent data for hydrological uses (<xref ref-type="bibr" rid="B25">Landerer et al., 2020</xref>).</p>
<p>Because GRACE can be utilized to fill in the gaps in hydrological monitoring data, some studies have combined GRACE with other data to estimate depletion and/or recharge rates caused by climate and/or human activities in Saudi Arabia and other regions (e.g., <xref ref-type="bibr" rid="B18">Fallatah et al., 2017</xref>; <xref ref-type="bibr" rid="B17">2019</xref>; <xref ref-type="bibr" rid="B27">Mohamed, 2019</xref>; <xref ref-type="bibr" rid="B71">Mohamed, 2020a</xref>; <xref ref-type="bibr" rid="B72">Mohamed, 2020b</xref>; <xref ref-type="bibr" rid="B73">Mohamed, 2020c</xref>; <xref ref-type="bibr" rid="B74">Mohamed et al., 2021</xref>; <xref ref-type="bibr" rid="B75">Mohamed and Gon&#x00E7;alv&#x00E8;s, 2021</xref>; <xref ref-type="bibr" rid="B51">Taha et al., 2021</xref>; <xref ref-type="bibr" rid="B30">Mohamed, 2022a</xref>; <xref ref-type="bibr" rid="B33">Mohamed, 2022b</xref>; <xref ref-type="bibr" rid="B34">Mohamed, 2022c</xref>; <xref ref-type="bibr" rid="B28">Mohamed, 2023a</xref>; <xref ref-type="bibr" rid="B35">Mohamed, 2023b</xref>; <xref ref-type="bibr" rid="B39">Othman et al., 2022</xref>; <xref ref-type="bibr" rid="B3">Alshehri and Mohamed, 2023</xref>). Other satellite and aerial geophysical field datasets have been utilized to explore continental crustal properties (<xref ref-type="bibr" rid="B32">Mohamed and Al Deep. 2021</xref>), Curie point depth and magma chamber geometry (<xref ref-type="bibr" rid="B31">Mohamed et al., 2022d</xref>), and subsurface structures controlling the mineralization zones (<xref ref-type="bibr" rid="B29">Mohamed et al., 2022e</xref>; <xref ref-type="bibr" rid="B37">Mohamed et al., 2023</xref>).</p>
<p>More accurate estimate of the depletion rate of the Wadi Ar-Ramah basin was obtained in this work by combining GRACE data with results from land surface models (LSMs) for the time period of 04/2002 to 12/2021. The objectives of this study are to: 1) use improved state-of-the-art solutions, the global mass concentration solutions (mascons) covering the time of April 2002 to December 2021; 2) using outputs from three versions of the Global Land Data Assimilation System (GLDAS) to estimate the groundwater storage (&#x394;GWS) from the GARCE-derived &#x394;TWS, and define its controlling factors; and 3) assess if the basin is in steady-state conditions or is being exhausted, and, if the latter, whether this depletion is due to natural and/or anthropogenic factors.</p>
</sec>
<sec id="s2">
<title>2 Study area</title>
<p>With a length of about 600&#xa0;km, Wadi Ar-Ramah is a long river valley on the Arabian Peninsula (370&#xa0;mi; <xref ref-type="fig" rid="F1">Figure 1</xref>). The wadi begins near Medina in Jibl al Abyad (the White Mountain), where it is mostly dry and partially dammed by expanding sand dunes. A number of smaller wadis, including Murghala Wadi, Mohalla Wadi, Jarir Wadi, and Jifn Wadi, are connected to it as it flows towards the north-east. In Al-Qassim Province close to Buraidah, it comes to an end in the Thuayrat Dunes of the ad-Dahna Desert. After there, the wadi disappears beneath the sand dunes, where it is known as Mistewy Wadi. It appears as Wadi al-Batin on the other side of the sand dunes, which runs about 425&#xa0;km north to define Kuwait&#x2019;s western boundary. It finally drains into the Arabiani Gulf (<xref ref-type="bibr" rid="B16">Edwards, et al., 1970</xref>; <xref ref-type="bibr" rid="B20">Helen Chapin Metz, 1992</xref>; <xref ref-type="bibr" rid="B60">Wadi al-Ramah, 2011</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>A location map of Wadi Ar-Ramah in Saudi Arabia <bold>(A)</bold> and its geology <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g001.tif"/>
</fig>
<p>The valley is wide because it was previously a prominent river valley. It was originally a 1,200-km-long river that flowed from Medina to the Arabian Gulf roughly 10,000&#xa0;years ago (according to Dr. Abdullah Al-Musnad). Drought conditions and sand migration at Althwairat and Dahna caused the valley&#x2019;s route to be divided into three sections: Wadi al-Ramah, the longest at 600&#xa0;km, Wadi Aloddi, at 45&#xa0;km, and Wadi al-Batin, at 450&#xa0;km. According to geological studies, the Wadi Ar-Ramah flows fully three times per hundred years. Recently, it flowed in the years of (1945, 1982, 1987, 2004, 2008, and 2018). The river valley flooded for afew days in 1818, 1838, 1987, and 2008. The wadi overflowed in 1838, generating a lake with an area of 520&#xa0;km<sup>2</sup> that continued 2&#xa0;years and attracted rare water birds to the region (<ext-link ext-link-type="uri" xlink:href="http://www.alriyadh.com/2008/11/14/article387891.html">alriyadh.com</ext-link>; <xref ref-type="bibr" rid="B60">Wadi al-Ramah, 2011</xref>).</p>
<p>The research region contains two surface rock units representing different geologic time periods, namely, the Cambro-Ordovician and Quaternary. Except for the eastern and northeastern parts of the study area, which are covered by sand dunes, the Saq Sandstone aquifer outcrops on both sides of the wadi. This Cambrian-Ordovician sandstone has several colors and is interbedded with jointed quartz (<xref ref-type="bibr" rid="B6">Bramkamp et al., 1963</xref>; <xref ref-type="bibr" rid="B49">Sowayan and Allayla, 1989</xref>). This Sandstone outcrop stretches 170&#xa0;kilometers south of the wadi and north across the Syrina border. It has a surface area of around 65,000&#xa0;km<sup>2</sup>. The Saq Sandstone is the country&#x2019;s oldest sedimantary unit, and it unconfromably overlies the underlying crystalline rocks. The Tabuk Formation, which is represented by alternating sandstone and shale elements, is likewise an important water-bearing reservoir. Eolian and fluvial deposits make up the more recent Quaternary sediments. Eolian sediments are made up of many forms of undulating sand sheets. These sands impact the width of the wadi, which is around 1&#xa0;km in the eastern part near the downstrem compared to nearly 14&#xa0;km in the western poerion of the study area (<xref ref-type="bibr" rid="B49">Sowayan and Allayla, 1989</xref>). The wadi channed and its floodplain are occupied by fluvial deposits. The Saq Sandstone is the main imprtnat aquifer in the research area, spreading for long distances north and south. This aquifer becomes cofined to the east with good water quality, however higher salinity values occur locally in the study region (<xref ref-type="bibr" rid="B49">Sowayan and Allayla, 1989</xref>).</p>
</sec>
<sec id="s3">
<title>3 Data and methods</title>
<sec id="s3-1">
<title>3.1 GRACE mascon data</title>
<p>After the success of the GRACE mission, the National Aeronautics and Space Administration (NASA) and the German Research Centre for Geosciences (GFZ) decided to launch a new project to continue the research (<xref ref-type="bibr" rid="B64">Watkins et al., 2015</xref>). This new mission is called GRACE Follow-On (GRACE-FO). It was the follow-up to the original mission, which was in orbit from 2002 to 2017. It refines the previous model&#x2019;s successes and pilots cutting-edge technology that significantly enhances the accuracy of the measuring apparatus. High-resolution, monthly global models of the Earth&#x2019;s gravitational field were initiated during GRACE, and this adds data to those models.</p>
<p>However, besides mass concentration (Mascon) solutions, spherical harmonics (SH) solutions are also available for the GRACE/GRACE-FO data (<xref ref-type="bibr" rid="B48">Soltani et al., 2021</xref>). For the first 10&#xa0;years of GRACE data, the SH solutions were the gold standard since they were used to parameterize the earth&#x2019;s gravity field model using global SH basis functions (<xref ref-type="bibr" rid="B26">Landerer and Swenson, 2012</xref>; <xref ref-type="bibr" rid="B65">Wei et al., 2021</xref>). The GRACE/GRACE-FO SH solutions are made public every month by the Scientific Data System, which is made up of three centers: the Jet Propulsion Laboratory (JPL), the Center for Space Research at the University of Texas (CSR), and the GFZ. Parameterizing the earth gravity field model using mass concentration blocks in mascon solutions makes it much simpler to incorporate geophysical constraints and has the potential to enhance the gravity information for research into Earth&#x2019;s surface processes (<xref ref-type="bibr" rid="B45">Scanlon et al., 2016</xref>; <xref ref-type="bibr" rid="B44">Save et al., 2016</xref>; Yang et al., 2022). This research makes use of three different time-variable gravity mascon solutions from the three processing centers. Datasets from the JPL, the CSR, and the Goddard Space Flight Center (GSFC) at NASA feature mascon products. All these mascon products were utilized to calculate the changes in TWS for the Wadi Ar-Ramah basin. Data was available from April 2002 through December 2021. This included 175&#xa0;months from GRACE (01/2002 through 06/2017) and 41&#xa0;months from GRACE-FO (06/2018 to 12/2021). Data gap between GRACE and GRACE-FO of 11&#xa0;months could not be filled because of the satellites&#x2019; termination. This research evaluated the TWSA measurements taken between 2002 and 2021 using data from the mascon CSR, GSFC, and JPL solutions. The spatial averaging was used to create a monthly TWS time series of within the basin. By averaging the TWSA from three solutions to generate the TWSA, the signal-to-noise ratio was improved (<xref ref-type="bibr" rid="B43">Sakumura et al., 2014</xref>; <xref ref-type="bibr" rid="B62">Wang et al., 2021</xref>). The TWS trend were determined using the slope. In the next step, the errors in the trend values were then estimated.</p>
</sec>
<sec id="s3-2">
<title>3.2 GLDAS</title>
<p>We have used the most recent GLDAS-2.1 (<xref ref-type="bibr" rid="B41">Rodell et al., 2004</xref>) Community Land Model (CLM), the Variable Infiltration Capacity, and Noah model results (<ext-link ext-link-type="uri" xlink:href="https://disc.gsfc.nasa.gov">https://disc.gsfc.nasa.gov</ext-link>) to determine SWE, CWS, and SMS for the period of 2002&#x2013;2021 with a spatial resolution of 1&#x00B0; degree. The SMS refers to the total amount of water present in all soil profiles, including those amount in 0&#x2013;0.1&#xa0;m, 0.1&#x2013;0.4&#xa0;cm, 0.4&#x2013;1&#xa0;m, and 1-2&#xa0;m underground, and root zone SM. Based on the deviation from the 2004&#x2013;2009 mean, we converted the GLDAS data into an anomalous format.</p>
</sec>
<sec id="s3-3">
<title>3.3 Rainfall data</title>
<p>The mass fluctuations within geological formations are influenced by a number of reasons, one of which is rainfall. Precise point rainfall readings can be obtained using rain gauges, but there is a lack of continuous monitoring stations in the sparsely populated desert regions of Wadi Ar-Ramah. So, this research made use of satellite monitoring of the rainfall. The Tropical Rainfall Measuring Project (TRMM) is a cooperative space mission designed to measure rainfall for climate research (<xref ref-type="bibr" rid="B24">Kummerow, 1998</xref>; <xref ref-type="bibr" rid="B21">Huffman et al., 2007</xref>).</p>
<p>Using precipitation records, monthly total precipitation images were generated. Second, we averaged the rainfall rates at each grid point within the research area to produce a monthly rainfall time series. Finally, the region&#x2019;s AAR (average annual rainfall; see <xref ref-type="fig" rid="F3">Figure 3</xref>) was calculated. Finally, the impact of rainfall on GWS variations over the research area was analyzed using the TRMM data.</p>
</sec>
<sec id="s3-4">
<title>3.4 Landsat images</title>
<p>Landsat 4, 5, 7, 8, and 9 multi-temporal satellite images were downloaded and processed for the study region to assess land-use changes caused by human activities across the research period. The images were also used to demonstrate agricultural expansion and community growth in the Wadi Ar-Ramah.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Result and discussion</title>
<p>In this study, we integrate GRACE and GLDAS data to get a comprehensive understanding of the groundwater potentialities of Wadi Ar-Ramah in Saudi Arabia&#x2019;s eastern region.</p>
<sec id="s4-1">
<title>4.1 Water storage changes from GRACE</title>
<p>An examination of <xref ref-type="fig" rid="F2">Figure 2</xref> reveals a decline in AAR started in 2006 and continues till 2017 with AAR values varying between 48.38 and 93.3&#xa0;mm/yr and a general decrease trend of &#x2212;0.89&#xa0;mm/yr throughout the time interval 2006&#x2013;2017. The AAR rate increases to 193.3&#xa0;mm/yr withing the year 2018 and decreases to 83.89&#xa0;mm/yr in the year 2019. The average spatial distribution of the AAR-derived TRMM data over the study region shows increasing in the rainfall from low values of &#x223c;40.6&#xa0;mm/yr at the southwestern part of the Wadi to higher values at the eastern part of it reaching up to 147.3 at its downstream. The study area has an AAR rate of 87.7&#xa0;mm/yr throughout the study period. The decreasing trend of rainfall between the years of 2006 and 2017 might be one of the causes of the higher TWS depletion for the Wadi. We cannot compare 2018 due to the absence of TWS anomalies induced by the termination of GRACE observations between July 2017 and May 2018.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Monthly rainfall time series <bold>(A)</bold>, Temporal AAR variation time series <bold>(B)</bold>, and the spatial variation of the AAR <bold>(C)</bold> over the study area.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g002.tif"/>
</fig>
<p>Here, we describe the spatial distributions of GRACE&#x2019;s detected signals of changes in &#x394;TWS. The spatial distribution of &#x394;TWS trends between 2002 and 2021, as computed from CSR and GSFC solutions, is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. Witnessing of this <xref ref-type="fig" rid="F3">Figure 3</xref> shows that high decreasing trends of TWS to about &#x2212;2.05&#xa0;cm/yr using CSR mascon solution; and &#x2212;2.68&#xa0;cm/yr using GSFC mascon solution were mainly found in the middle and northwestern regions of the Wadi. The TWS trend values increase northeast and southwestwards, attaining values ranging from &#x2212;0.07 to &#x2b; 0.009&#xa0;cm/yr when employing the GSFC and CSR mascon solutions, respectively.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>GRACE-derived TWS spatiotemporal fluctuations for the research area utilizing CSR <bold>(A)</bold> and GSFC <bold>(B)</bold> mascon solutions.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g003.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> depicts the variability in monthly average storage anomalies of GRACE-estimated &#x394;TWS over the Wadi. The degree to which two variables are linearly related is measured by a statistic called the correlation coefficient. The higher the correlation coefficient R among the different three solutions, the stronger the averaging will be. The correlation coefficients for the three mascon solutions range from 0.97 to 0.99, indicating that they share similar patterns (<xref ref-type="fig" rid="F4">Figure 4</xref>). Based on the monthly TWS estimates, the annual mean &#x394;TWS fluctuations were examined in further detail. The &#x394;TWS was decreased at rate of &#x2212;1.216 &#xb1; 0.013&#xa0;cm/year in equivalent water height over the entire Wadi Ar-Ramah between 2002 and 2021.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Time series of the TWS <bold>(A)</bold> and averaging TWS trend <bold>(B)</bold> from 04/2002 to 12/2021 for the Wadi.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g004.tif"/>
</fig>
<p>Three different GLDAS models were utilized to calculate the &#x394;SMS; <xref ref-type="fig" rid="F5">Figure 5</xref> displays the average of these estimates for Wadi Ar-Ramah. The amplitude of seasonal SM anomalies is around 10&#xa0;cm. SMS values from the three models vary from 0.2 to 0.5&#xa0;mm/yr, with an average of &#x2212;0.32 &#xb1; 0.025&#xa0;mm/yr due to the relatively low rainfall rates experienced by the Wadi Ar-Ramah over the research period. Consequently, the contribution of SMS to the variability of terrestrial water storage is often minimal on a regional scale.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Temporal variations of the GLDAS-derived SMS for the Wadi Ar-Ramah from 04/2002 to 12/2021.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g005.tif"/>
</fig>
<p>As was already mentioned, however, GRACE can&#x2019;t tell the difference between anomalies brought on by distinct TWS compartments. Consequently, GLDAS models were used to determine the non-groundwater components reflected in SMS fluctuations.</p>
<p>Several authors have used Eq. <xref ref-type="disp-formula" rid="e1">1</xref> to determine groundwater storage fluctuations (e.g., <xref ref-type="bibr" rid="B42">Rodell et al., 2009</xref>; <xref ref-type="bibr" rid="B55">Tiwari et al., 2009</xref>; <xref ref-type="bibr" rid="B36">Mohamed et al., 2017</xref>). Estimates &#x394;GWS were obtained by deducting the variations in &#x394;SMS, from GRACE-derived &#x394;TWS.</p>
<p>As can be seen in the following formula, TWS is comprised of two distinct parts:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mi mathvariant="normal">W</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">S</mml:mi>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Variations in the other components represnted by CWS, SWS, and SWE are ignored due to the absence of trends in their respective time series.</p>
<p>The time series of GRACE-derived GWS reach their peaks in May and June, and their troughs in October and November. Their temporal variations show similar patterns as those of the TWS, due to the minimal contribution from the non-groundwater components in Wari Ramah (<xref ref-type="fig" rid="F6">Figure 6</xref>). The calculated groundwater depletion of Wadi Ar-Ramah varying between &#x2212;1.418 &#xb1; 0.019 and &#x2212;0.978 &#xb1; 0.018&#xa0;cm/yr using the three mascon solutions with an average value of &#x2212;1.212 &#xb1; 0.012&#xa0;cm/yr during the entire period (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Time series of the GWS <bold>(A)</bold> and averaging GWS trend <bold>(B)</bold> from 04/2002 to 12/2021 for the Wadi.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g006.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>&#x394;TWS components for Wadi Ar-Ramah and the surrounding zone at a 95% level of confidence.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="left">Component</th>
<th align="center">Unit</th>
<th align="left">Wadi Ar-Ramah</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="center">GRACE total (&#x394;TWS)</td>
<td align="left">CSR</td>
<td rowspan="4" align="center">cm/yr</td>
<td align="center">&#x2212;1.01 &#xb1; 0.018</td>
</tr>
<tr>
<td align="left">GSFC</td>
<td align="center">&#x2212;1.45 &#xb1; 0.019</td>
</tr>
<tr>
<td align="left">JPL</td>
<td align="center">&#x2212;1.21 &#xb1; 0.011</td>
</tr>
<tr>
<td align="left">AVG</td>
<td align="center">&#x2212;1.216 &#xb1; 0.013</td>
</tr>
<tr>
<td colspan="2" align="left">&#x394;SMS</td>
<td align="center">mm/yr</td>
<td align="center">&#x2212;0.32 &#xb1; 0.025</td>
</tr>
<tr>
<td colspan="2" align="left">&#x394;GWS</td>
<td align="center">cm/yr</td>
<td align="center">&#x2212;1.212 &#xb1; 0.012</td>
</tr>
<tr>
<td colspan="2" align="left">AAR</td>
<td align="center">mm</td>
<td align="center">87.7</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-2">
<title>4.2 Sediment thickness</title>
<p>NOAA&#x2019;s National Geophysical Data Center provided data on sediment thickness (<xref ref-type="bibr" rid="B14">Divins, 2003</xref>). In the southwestern part of the Wadi Ar-Ramah, the sedimentary cover reaches a thickness of less than 10&#xa0;m (<xref ref-type="fig" rid="F7">Figure 7</xref>) in the lowlands of the streams that dissect the basement crystalline and volcanic rocks. Northeastwards, the sediment thickness increases to reach higher sediment thickness of more than 3,500&#xa0;m at the confluence of the streams that continues to more 4,000&#x2013;6,000&#xa0;m at the main channel in the downstream of the Wadi. This may provide evidence for the existence of a large fluid reserve in the Wadi around its main long channel.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Thickness of the sedimentary succession (m) in Wadi Ar-Ramah.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g007.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>4.3 Watershed analysis</title>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> is a topographic map generated from the ETOPO1 Global Relief Model depicting the stream networks of Wadi Ar-Ramah. The elevation varies dramatically from more than 1,000&#xa0;m at the southwestern parts of the Wadi over the mountainous region of the Arabian Nubian Shield to less than 500&#xa0;m at the beginning of the sedimentary region close to the shield. It continues down to less than 300&#xa0;m northeast of the Hafar Al Batin region, close to the mainstream. Streams arise in the southwestern portion of the Wadi and flow downstream toward the east. Given the Wadi&#x2019;s low average annual precipitation rate of 87.8&#xa0;mm, the Wadi may receive a minimum recharge rate. This is demonstrated by the Wadi&#x2019;s heavy groundwater extraction rate of &#x2212;1.216 &#xb1; 0.013&#xa0;cm/year during the study period.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The drainage pattern and stream networks of the studies area.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g008.tif"/>
</fig>
</sec>
<sec id="s4-4">
<title>4.4 Anthropogenic activities</title>
<p>Human activity has been found to induce changes in land/land cover, as shown by the outputs of Landsat datasets that contained satellite imagery from multiple historical periods (<xref ref-type="fig" rid="F9">Figure 9</xref>). Landsat&#x2019;s 1984 view of the Wadi Ar-Ramah region shows signs of farming and aqricultural activities that increses across the time to large areas occupied by the these activities. In addition, the building of new communities has consumed more water and adding a stress on the groundwater potential. Deserts of the wadi are gradually becoming dotted with green in later images. A center-pivot irrigation system waters each green dot, which represents a farm field. For the purpose of watering the fruit, vegetable, and wheat crops, water is piped up from a deep underground reservoir. The reservoir is known as Al Sag. Water in this aquifer is estimated to have been gathered between 12,000 and 30,000&#xa0;years ago, with just a small amount being replenished in the present day. <xref ref-type="bibr" rid="B30">Mohamed et al. (2022a)</xref> assessed the groundwater depletion of the Saq aquifer to be &#x2212;10.16 &#xb1; 0.39&#xa0;mm/yr between 04/2006 and 06/2016 as a result of intensive groundwater withdrawal for residential and agricultural purposes.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Landsat images from 1985 to 2011 depicting the area&#x2019;s land usage and land cover.</p>
</caption>
<graphic xlink:href="feart-11-1227691-g009.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>Based on an analysis of rainfall data for the Wadi Ar-Ramah between April 2002 and December 2021, the annual precipitation rate is 87.7&#xa0;mm. Wadi Ar-Ramah Basin has been subjected to extensive groundwater extraction since 1990. The integrated results from GRACE and GLDAS indicate that the groundwater resource is declining at a rate of &#x2212;1.212 &#xb1; 0.012&#xa0;cm/year. The identification of change from Landsat images has revealed significant land use/land cover changes since 1985. The substantial rate of groundwater extraction is not mitigated by the small amount of surface water derived from precipitation. In the aquifer&#x2019;s downstream section, the higher sediment succession of 4,000&#x2013;6,000&#xa0;m is preserving vast quantities of groundwater. Using the Wadi Ar-Ramah Basin, we demonstrated that GRACE data can be used to estimate mass variations across enormous hydrologic basins, a normally challenging endeavor. Despite the unavoidable challenges, the current research advances our knowledge of the groundwater variability from both a present and a future perspective. Policymakers may use this information to increase groundwater-dependent agriculture and community development. A continuous monitoring program using the most recent GARCE data, meteorological models, and ground-based data should be carried out to evaluate the water storage dynamics in the future.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>All authors listed have made a substantial, direct, and intellectual contribution to the work and approved it for publication.</p>
</sec>
<sec id="s10">
<title>Funding</title>
<p>The authors extend their appreciation to Abdullah Alrushaid Chair for Earth Science Remote Sensing Research for the funding.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<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="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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