Water table fluctuation in response to transient recharge from a rectangular basin

A problem of water-table fluctuation in a finite two-dimensional aquifer system in response to transient recharge from an overlying rectangular area is studied. An analytical solution is obtained by using the method of finite Fourier transform to predict the transient position of the water-table. The solution for constant rate of recharge is shown as a special case of the present solution. Effects of variation in the rate of recharge on the growth of two-dimensional groundwater mound is illustrated with the help of a numerical example.Notation A half width of the aquifer L] - B half length of the aquifer L] - D half width of the recharge basin L] - e specific yield - h varying water-table height L] - h ₀ initial water-table height L] - h weighted mean of the depth of saturation L] - K hydraulic conductivity LT^–1] - L half length of the recharge basin L] - P(t) time varying rate of recharge LT^–1] - P ₁ +P ₀ initial rate of time varying recharge LT^–1] - P ₁ final rate of time varying recharge LT^–1] - t time of observation T] - x, y coordinate axes - decay constant T^–1]