Abstract
The nonlinear, partial-differential equation characterizing the unsteady flow in an unconfined aquifer receiving uniform vertical recharge from a rectangular spreading basin is solved numerically. The method of solution consists of the alternating-direction implicit scheme with an inhomogeneous grid spacing. The numerical solution is compared with an available linearized solution for a flow system in which the rate of recharge is much smaller than the hydraulic conductivity of the underlying aquifer. The comparison shows that the values of the maximum height of the water table obtained from the numerical scheme are always higher than those calculated from the linearized solution.
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