Журнал наук о Земле и изменения климата

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

Abdon Atangana and Botha J.F

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.