Abstract
Solutions of boundary-value problems of two-dimensional flow in a porous medium are obtained on the basis of the theory of axisymmetric generalized analytic functions [1,2] and conversion formulas [3] for a broad class of strata whose conductivity changes abruptly along second-order curves. The singular points of these functions model arbitrary two-dimensional flows. In space the solutions describe the axisymmetric flow in porous media whose homogeneity interfaces are second-order surfaces of revolution. The solutions obtained are applied to new problems associated with environmental protection and the nonpolluting operation of water intakes under complex geological conditions.
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