An analytical solution for water-table fluctuation in a finite aquifer due to transient recharge from a strip basin

Two cases of water-table fluctuation in a finite aquifer in response to transient recharge from a strip basin are investigated. In the first case the aquifer is bounded by open water-bodies, whereas in second one the aquifer is bounded by impermeable boundaries on both sides. Analytical solutions are presented to predict the transient position of the water-table. The solutions are obtained by using finite Fourier sine and cosine transforms.Notations A width of the aquifer L] - e specific yield - h variable water-table height L] - h ₀ initial water-table height L] - weighted mean of the depth of saturation L] - K hydraulic conductivity LT^–1] - m,n integers - P ₁ +P ₀ initial rate of transient recharge LT^–1] - P ₁ final rate of transient recharge LT^–1] - P constant rate of recharge LT^–1] - x ₁ distance of left boundary of the strip basin L] - x ₂ distance of right boundary of the strip basin L] - t time of observation T] - decay constant T^–1]