Two-Dimensional Modelling of Water Table Fluctuations due to Time-Varying Recharge from Rectangular Basin

A prior knowledge of the water table fluctuations, in response to the proposed recharge scheme, is essential to achieve the preset objectives of ground water resources management. In this paper an analytical solution of the linearised Boussinesq's equation is presented to predict the spatio-temporal variation of the water table in an aquifer system in response to time-varying recharge applied through a rectangular basin. The recharge function is approximated by introducing a number of line segments depending on its nature of variation. The solution is obtained by using finite Fourier sine transform and its application is demonstrated for a case of periodically applied recharge.