New analytical solution for stream–aquifer interaction under constant replenishment
Abstract In the present paper, approximate analytical solutions for flow in unconfined aquifers with streams are obtained assuming one-dimensional horizontal groundwater flow in homogeneous and isotropic aquifer with recharge effect using variational homotopy perturbation method which is a combinati...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-09-01
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| Series: | Applied Water Science |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/s13201-018-0814-7 |
| _version_ | 1828402237981851648 |
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| author | Amruta Daga Bhandari V. H. Pradhan Rajeev K. Bansal |
| author_facet | Amruta Daga Bhandari V. H. Pradhan Rajeev K. Bansal |
| author_sort | Amruta Daga Bhandari |
| collection | DOAJ |
| description | Abstract In the present paper, approximate analytical solutions for flow in unconfined aquifers with streams are obtained assuming one-dimensional horizontal groundwater flow in homogeneous and isotropic aquifer with recharge effect using variational homotopy perturbation method which is a combination of variational iteration method and homotopy perturbation method. The governing nonlinear Boussinesq equation is obtained by using a basic principle of conservation of mass followed by Dupuit’s assumptions. Sensitivity of the parameters has been analyzed. The obtained approximate analytical solutions are numerically validated. The present analytical method is reliable and can be equally well applied to other nonlinear equations arising in the stream–aquifer interaction problems. |
| first_indexed | 2024-12-10T09:57:52Z |
| format | Article |
| id | doaj.art-84772dc67f8441c2a125091cffde1ca6 |
| institution | Directory Open Access Journal |
| issn | 2190-5487 2190-5495 |
| language | English |
| last_indexed | 2024-12-10T09:57:52Z |
| publishDate | 2018-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Applied Water Science |
| spelling | doaj.art-84772dc67f8441c2a125091cffde1ca62022-12-22T01:53:26ZengSpringerOpenApplied Water Science2190-54872190-54952018-09-01861810.1007/s13201-018-0814-7New analytical solution for stream–aquifer interaction under constant replenishmentAmruta Daga Bhandari0V. H. Pradhan1Rajeev K. Bansal2R.C. Patel Institute of TechnologyS.V. National Institute of Technology SuratDefence Institute of Advanced TechnologyAbstract In the present paper, approximate analytical solutions for flow in unconfined aquifers with streams are obtained assuming one-dimensional horizontal groundwater flow in homogeneous and isotropic aquifer with recharge effect using variational homotopy perturbation method which is a combination of variational iteration method and homotopy perturbation method. The governing nonlinear Boussinesq equation is obtained by using a basic principle of conservation of mass followed by Dupuit’s assumptions. Sensitivity of the parameters has been analyzed. The obtained approximate analytical solutions are numerically validated. The present analytical method is reliable and can be equally well applied to other nonlinear equations arising in the stream–aquifer interaction problems.http://link.springer.com/article/10.1007/s13201-018-0814-7Boussinesq equationVariational homotopy perturbation method (VHPM)Stream–aquifer interaction |
| spellingShingle | Amruta Daga Bhandari V. H. Pradhan Rajeev K. Bansal New analytical solution for stream–aquifer interaction under constant replenishment Applied Water Science Boussinesq equation Variational homotopy perturbation method (VHPM) Stream–aquifer interaction |
| title | New analytical solution for stream–aquifer interaction under constant replenishment |
| title_full | New analytical solution for stream–aquifer interaction under constant replenishment |
| title_fullStr | New analytical solution for stream–aquifer interaction under constant replenishment |
| title_full_unstemmed | New analytical solution for stream–aquifer interaction under constant replenishment |
| title_short | New analytical solution for stream–aquifer interaction under constant replenishment |
| title_sort | new analytical solution for stream aquifer interaction under constant replenishment |
| topic | Boussinesq equation Variational homotopy perturbation method (VHPM) Stream–aquifer interaction |
| url | http://link.springer.com/article/10.1007/s13201-018-0814-7 |
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