An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones
A conceptual model was established to study the patterns of flow in vadose and saturated zones system induced by a prescribed boundary. Richards’ equation was adopted to describe groundwater flow in the vadose zone. Laplace transform and cosine Fourier transform were chosen to derive a semi-analytic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IWA Publishing
2023-08-01
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| Series: | Water Supply |
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| Online Access: | http://ws.iwaponline.com/content/23/8/3500 |
| _version_ | 1797689429788196864 |
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| author | Chong Ma Ruiping Jing Ke Ma Quanrong Wang |
| author_facet | Chong Ma Ruiping Jing Ke Ma Quanrong Wang |
| author_sort | Chong Ma |
| collection | DOAJ |
| description | A conceptual model was established to study the patterns of flow in vadose and saturated zones system induced by a prescribed boundary. Richards’ equation was adopted to describe groundwater flow in the vadose zone. Laplace transform and cosine Fourier transform were chosen to derive a semi-analytical solution of the governing equations. A finite-element numerical solution built with COMSOL software was used to test the semi-analytical solution. The buildups of the hydraulic head were investigated for different hydraulic parameters. Some noteworthy conclusions were obtained. The vadose zone parameters (constitutive exponent (κD) and specific yield (Sy)) have a significant effect on the buildups in the vadose zone and saturated zone. A larger κD value and smaller Sy value both lead to higher buildups in the vadose zone, while a larger κD value and a larger Sy value resulted in smaller buildups. As for the specific storage (Ss) of the saturated zone, the influence on buildup is more obvious in the saturated zone rather than in the vadose zone. The analysis further indicates that Media Anisotropy (Kz/Kx) value exhibits opposite influences on the hydraulic head in vadose and saturated zone. The present solution offers a valuable basis for further research of groundwater recharge and better design of MAR engineering.
HIGHLIGHTS
A conceptual model to study the patterns of flow in vadose and saturated zones system induced by a prescribed boundary.;
Semi-analytical solutions of hydraulic heads in both vadose and saturated zones are obtained.;
A larger value and a smaller value both lead to higher buildups in the vadose zone.;
Media anisotropy () exhibits opposite influences on the buildups in the vadose and saturated zone.; |
| first_indexed | 2024-03-12T01:45:29Z |
| format | Article |
| id | doaj.art-7602d86009244a90a33ee362335b957f |
| institution | Directory Open Access Journal |
| issn | 1606-9749 1607-0798 |
| language | English |
| last_indexed | 2024-03-12T01:45:29Z |
| publishDate | 2023-08-01 |
| publisher | IWA Publishing |
| record_format | Article |
| series | Water Supply |
| spelling | doaj.art-7602d86009244a90a33ee362335b957f2023-09-09T08:45:38ZengIWA PublishingWater Supply1606-97491607-07982023-08-012383500351310.2166/ws.2023.196196An analytical model for stream-stimulated hydraulic communication in vadose and saturated zonesChong Ma0Ruiping Jing1Ke Ma2Quanrong Wang3 School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China School of Environmental Studies, China University of Geosciences, 388 Lumo Road, Wuhan 430074, China A conceptual model was established to study the patterns of flow in vadose and saturated zones system induced by a prescribed boundary. Richards’ equation was adopted to describe groundwater flow in the vadose zone. Laplace transform and cosine Fourier transform were chosen to derive a semi-analytical solution of the governing equations. A finite-element numerical solution built with COMSOL software was used to test the semi-analytical solution. The buildups of the hydraulic head were investigated for different hydraulic parameters. Some noteworthy conclusions were obtained. The vadose zone parameters (constitutive exponent (κD) and specific yield (Sy)) have a significant effect on the buildups in the vadose zone and saturated zone. A larger κD value and smaller Sy value both lead to higher buildups in the vadose zone, while a larger κD value and a larger Sy value resulted in smaller buildups. As for the specific storage (Ss) of the saturated zone, the influence on buildup is more obvious in the saturated zone rather than in the vadose zone. The analysis further indicates that Media Anisotropy (Kz/Kx) value exhibits opposite influences on the hydraulic head in vadose and saturated zone. The present solution offers a valuable basis for further research of groundwater recharge and better design of MAR engineering. HIGHLIGHTS A conceptual model to study the patterns of flow in vadose and saturated zones system induced by a prescribed boundary.; Semi-analytical solutions of hydraulic heads in both vadose and saturated zones are obtained.; A larger value and a smaller value both lead to higher buildups in the vadose zone.; Media anisotropy () exhibits opposite influences on the buildups in the vadose and saturated zone.;http://ws.iwaponline.com/content/23/8/3500analytical solutionsgroundwater flowvadose zonewater interaction |
| spellingShingle | Chong Ma Ruiping Jing Ke Ma Quanrong Wang An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones Water Supply analytical solutions groundwater flow vadose zone water interaction |
| title | An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones |
| title_full | An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones |
| title_fullStr | An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones |
| title_full_unstemmed | An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones |
| title_short | An analytical model for stream-stimulated hydraulic communication in vadose and saturated zones |
| title_sort | analytical model for stream stimulated hydraulic communication in vadose and saturated zones |
| topic | analytical solutions groundwater flow vadose zone water interaction |
| url | http://ws.iwaponline.com/content/23/8/3500 |
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