Abstract

Two-dimensional groundwater flow problems involving a semipervious boundary can be solved using an analytical function ( V) of the complex potential (ω) and its derivative with respect to the complex coordinate ( z). So far boundary conditions however have been restricted to a semipervious layer of constant resistance, vertical equipotential lines and vertical stream lines. This paper gives solutions for problems in a semiconfined aquifer of finite depth, so involving a semipervious boundary as well as a horizontal stream line boundary. Exact solutions are given for flow with an arbitrary number of polder levels above the semipervious boundary; also sinks and sources may be present.

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