Approximation of Subsurface Seepage using 2- Dimensional Boussineq Equation
Journal of Advances in Mathematics and Computer Science · pp. 79–89 · Published 25 May 2021
10.9734/jamcs/2021/v36i430358Abstract
Groundwater is the main source of fresh water available for human beings. The surface water groundwater interaction affects the quantity and quality of groundwater. Hence the study of surfacewater-groundwater interaction is the emerging topic in this new era. In this paper, the analytical approximation of water table fluctuation in the aquifer is presented. The aquifer is subjected to the recharge and withdrawal activity through multiple basins and wells in the domain. The time dependent multiple recharge is considered. The flow is approximated by a non linear partial differential equation called Boussineq equation. The solution of Boussineq equation is developed using Finite Fourier cosine transform. Response of the solution to using numerical examples has been tested. Effect of aquifer parameters on the fluctuation of water table formation mainly water mound and cone of depression due to recharge and withdrawal are presented. The effect of permeability of aquifer base on the water table is also discussed.
References (6)
- 1 A general approximate method for the groundwater response problem caused by water level variation [DOI]
- 2 Response of Unconfined Aquifer to Sudden Change in Boundary Head [DOI]
- 3 Water-table fluctuation in semipervious stream-unconfined aquifer systems [DOI]
- 4 Vertical Recharge of Unconfined Aquifer [DOI]
- 5 Groundwater Flow in Sloping Aquifer under Localized Transient Recharge: Analytical Study [DOI]
- 6 Unsteady seepage flow over sloping beds in response to multiple localized recharge [DOI]
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