Recession discharge from compartmentalized bedrock hillslopes
<p>We used numerical modelling to explore the role of the vertical compartmentalization of hillslopes on groundwater flow and recession discharge. We found that, when hydraulic properties are vertically compartmentalized, streamflow recession behaviour may strongly deviate from what is predict...
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2022-08-01
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| Series: | Hydrology and Earth System Sciences |
| Online Access: | https://hess.copernicus.org/articles/26/4391/2022/hess-26-4391-2022.pdf |
| _version_ | 1818495784012742656 |
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| author | C. Roques C. Roques D. E. Rupp J.-R. de Dreuzy L. Longuevergne E. R. Jachens G. Grant L. Aquilina J. S. Selker |
| author_facet | C. Roques C. Roques D. E. Rupp J.-R. de Dreuzy L. Longuevergne E. R. Jachens G. Grant L. Aquilina J. S. Selker |
| author_sort | C. Roques |
| collection | DOAJ |
| description | <p>We used numerical modelling to explore the role of the vertical compartmentalization of hillslopes on groundwater flow and recession discharge. We found that, when hydraulic properties are vertically compartmentalized, streamflow recession behaviour may strongly deviate from what is predicted by groundwater theory that considers the drainage of shallow reservoirs with homogeneous properties. We further identified the hillslope configurations for which the homogeneous theory derived from the Boussinesq solution approximately holds and, conversely, for those for which it does not. By comparing the modelled recession discharge <span class="inline-formula"><i>Q</i></span> and the groundwater table dynamics, we identified the critical hydrogeological conditions controlling the emergence of strong deviations. The three main controls are (i) the contribution of a deep aquifer connected to the stream, (ii) the heterogeneity in hydraulic properties, and (iii) the slope of the interface between a shallow permeable compartment and deep bedrock one with lower hydraulic properties. Our results confirm that a correct physical interpretation of the recession discharge exponent <span class="inline-formula"><i>b</i></span> from the classical equation <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M3" display="inline" overflow="scroll" dspmath="mathml"><mrow><mo>-</mo><mi mathvariant="normal">d</mi><mi>Q</mi><mo>/</mo><mi mathvariant="normal">d</mi><mi>t</mi><mo>=</mo><mi>a</mi><msup><mi>Q</mi><mi>b</mi></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="73pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="6f38f8c9dbb082a9e7c3ee67afc5b21d"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-26-4391-2022-ie00001.svg" width="73pt" height="15pt" src="hess-26-4391-2022-ie00001.png"/></svg:svg></span></span>, and its temporal progression, requires knowledge of the structural configuration and heterogeneity of the aquifer.</p> |
| first_indexed | 2024-12-10T18:25:14Z |
| format | Article |
| id | doaj.art-f9e9779d53234a02be1463bc205ef799 |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-12-10T18:25:14Z |
| publishDate | 2022-08-01 |
| publisher | Copernicus Publications |
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| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-f9e9779d53234a02be1463bc205ef7992022-12-22T01:38:06ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382022-08-01264391440510.5194/hess-26-4391-2022Recession discharge from compartmentalized bedrock hillslopesC. Roques0C. Roques1D. E. Rupp2J.-R. de Dreuzy3L. Longuevergne4E. R. Jachens5G. Grant6L. Aquilina7J. S. Selker8Univ. Rennes 1, CNRS, Géosciences Rennes – UMR 6118, 35000 Rennes, FranceCentre for Hydrology and Geothermics (CHYN), Université de Neuchâtel, Neuchâtel, SwitzerlandOregon Climate Change Research Institute, College of Earth, Ocean, and Atmospheric Sciences, Oregon State University, Corvallis, OR, USAUniv. Rennes 1, CNRS, Géosciences Rennes – UMR 6118, 35000 Rennes, FranceUniv. Rennes 1, CNRS, Géosciences Rennes – UMR 6118, 35000 Rennes, FranceBiological and Ecological Engineering Department, Oregon State University, Corvallis, OR, USAPacific Northwest Research Station, Forest Service, U.S. Department of Agriculture, Corvallis, Oregon, USAUniv. Rennes 1, CNRS, Géosciences Rennes – UMR 6118, 35000 Rennes, FranceBiological and Ecological Engineering Department, Oregon State University, Corvallis, OR, USA<p>We used numerical modelling to explore the role of the vertical compartmentalization of hillslopes on groundwater flow and recession discharge. We found that, when hydraulic properties are vertically compartmentalized, streamflow recession behaviour may strongly deviate from what is predicted by groundwater theory that considers the drainage of shallow reservoirs with homogeneous properties. We further identified the hillslope configurations for which the homogeneous theory derived from the Boussinesq solution approximately holds and, conversely, for those for which it does not. By comparing the modelled recession discharge <span class="inline-formula"><i>Q</i></span> and the groundwater table dynamics, we identified the critical hydrogeological conditions controlling the emergence of strong deviations. The three main controls are (i) the contribution of a deep aquifer connected to the stream, (ii) the heterogeneity in hydraulic properties, and (iii) the slope of the interface between a shallow permeable compartment and deep bedrock one with lower hydraulic properties. Our results confirm that a correct physical interpretation of the recession discharge exponent <span class="inline-formula"><i>b</i></span> from the classical equation <span class="inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" id="M3" display="inline" overflow="scroll" dspmath="mathml"><mrow><mo>-</mo><mi mathvariant="normal">d</mi><mi>Q</mi><mo>/</mo><mi mathvariant="normal">d</mi><mi>t</mi><mo>=</mo><mi>a</mi><msup><mi>Q</mi><mi>b</mi></msup></mrow></math><span><svg:svg xmlns:svg="http://www.w3.org/2000/svg" width="73pt" height="15pt" class="svg-formula" dspmath="mathimg" md5hash="6f38f8c9dbb082a9e7c3ee67afc5b21d"><svg:image xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="hess-26-4391-2022-ie00001.svg" width="73pt" height="15pt" src="hess-26-4391-2022-ie00001.png"/></svg:svg></span></span>, and its temporal progression, requires knowledge of the structural configuration and heterogeneity of the aquifer.</p>https://hess.copernicus.org/articles/26/4391/2022/hess-26-4391-2022.pdf |
| spellingShingle | C. Roques C. Roques D. E. Rupp J.-R. de Dreuzy L. Longuevergne E. R. Jachens G. Grant L. Aquilina J. S. Selker Recession discharge from compartmentalized bedrock hillslopes Hydrology and Earth System Sciences |
| title | Recession discharge from compartmentalized bedrock hillslopes |
| title_full | Recession discharge from compartmentalized bedrock hillslopes |
| title_fullStr | Recession discharge from compartmentalized bedrock hillslopes |
| title_full_unstemmed | Recession discharge from compartmentalized bedrock hillslopes |
| title_short | Recession discharge from compartmentalized bedrock hillslopes |
| title_sort | recession discharge from compartmentalized bedrock hillslopes |
| url | https://hess.copernicus.org/articles/26/4391/2022/hess-26-4391-2022.pdf |
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