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• W2115620102 abstract "Finite difference equations were derived by using the divergence theorem to convert the nonlinear partial differential equation (which approximately describes liquid flow in a variably saturated, elastic porous medium) to an integral equation, and then to integrate around individual mesh volume elements. Original nonlinearity of the differential equation was preserved by keeping saturations and relative conductivities current with hydraulic heads during the iterative matrix solution method. The problem of axisymmetric flow to a water well that penetrates one or more elastic rock units, the upper one of which is unconfmed, provides a convenient vehicle for analysis of the procedural and theoretical study of unconfined and semiconfined flow. Of the three methods tried to solve the matrix equation that resulted from the finite difference equations (which included a form of the direct alternating direction implicit method, the iterative alternating direction implicit method, and the line successive overrelaxation method), the line successive overrelaxation method was the fastest and was selected for use in a general computer program. A comparison with analytical solutions that use Boulton's convolution integral as a velocity boundary condition at the water table for a single aquifer and an aquifer‐aquitard system demonstrates close correspondence of the numerical and analytical solutions, even for a case where the water table is lowered appreciably." @default.
• W2115620102 created "2016-06-24" @default.
• W2115620102 creator A5006587735 @default.
• W2115620102 date "1971-12-01" @default.
• W2115620102 modified "2023-09-26" @default.
• W2115620102 title "A Finite Difference Method for Unsteady Flow in Variably Saturated Porous Media: Application to a Single Pumping Well" @default.
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• W2115620102 doi "https://doi.org/10.1029/wr007i006p01607" @default.
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