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Analytical Solution of the Groundwater Flow Equation obtained <em>via</em> Homotopy Decomposition Method | OMICS International| Abstract
ISSN: 2157-7617

Journal of Earth Science & Climatic Change
Open Access

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  • Research Article   
  • J Earth Sci Climat Change 2012, Vol 3(2): 115
  • DOI: 10.4172/2157-7617.1000115

Analytical Solution of the Groundwater Flow Equation obtained via Homotopy Decomposition Method

Abdon Atangana* and Botha J.F
Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa
*Corresponding Author : Abdon Atangana, Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa, Email: abdonatangana@yahoo.fr

Received Date: Aug 21, 2012 / Accepted Date: Sep 21, 2012 / Published Date: Sep 24, 2012

Abstract

In this paper, we make use of the homotopy decomposition to solve the groundwater flow equation. The solution obtained via the method was compared to the existing solutions including Theis and Cooper Jacob. To test the validity of the solution we compare it with two set of experimental data from real world situation. The first is from a pumping test conducted in the polder ‘Oude Korendijk’, south of Rotterdam, the Netherlands. For this last set, the well screen was installed over the whole thickness of the aquifer, and piezometers were placed at distances of 30, 90, and 215 m from the well, and at different depths. The well was pumped at a constant discharge of 9.12 I/s for nearly 14 hours. The graphical representations of the comparison revealed a good agreement of experimental data with the proposed solution.

Keywords: Analytical; Solution; Groundwater; Homotopy; Decomposition; Method

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Citation: Atangana A, Botha JF (2012) Analytical Solution of the Groundwater Flow Equation obtained via Homotopy Decomposition Method. J Earth Sci Climate Change 3: 115. Doi: 10.4172/2157-7617.1000115

Copyright: ©2012 Atangana A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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