Numerical Modeling of Water Table Fluctuation in Unconfined Sloping Aquifer in Response to Multiple Localized Recharge
Shikha Saxena
*
RNTU University,Bhopal, India.
Rajeev Kumar Bansal
Department of Mathematics National Defence Academy, Khadakwasla, Pune, India.
Basant Singh
Department of Mathematics, C. V. Raman University, Patna, India.
*Author to whom correspondence should be addressed.
Abstract
Numerical modeling for the variations of water table fluctuation in response to subsurface seepage and downwards recharge is an important aspect in the estimation of surface-groundwater interaction. In this work, a numerical model is developed for the approximation of water table variation in an unconfined sloping aquifer subjected to the multiple localized recharge and seepage from the adjacent water body. The Boussinesq equation characterizing the flow of groundwater in unconfined sloping porous media is solved numerically using Du Fort Frankel finite difference method. The application of the result is demonstrated with illustrative examples using varying aquifer parameters. The results indicated that the water table form groundwater mound beneath recharge basins due to continuous recharge.
Keywords: Sloping aquifers, streams, vertical recharge, boussinesq equation, water table, seepage