Abstract
General analytical expressions are derived for flow nets caused by infiltration or evaporation with random input values from nonuniform and nonperiodic strip sources on the soil surface using the theory of steady unsaturated flow in homogeneous and isotropic porous media. The analysis is based on an exponential relationship between the unsaturated hydraulic conductivity and soil-water pressure; this leads to a simple expression for the matrix flux potential and to a linearization of the problem. Fourier analysis is used in the mathematical procedures. The solutions for a uniform infiltration rate from two strip sources and a uniform evaporation rate from an intermediate strip are presented as special cases. The expressions for these special cases have been evaluated using Filon's numerical integration method. Numerical results for these special cases are presented and discussed.
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