Abstract
An analytical function ( V) of the complex potential (Ω) and its derivative with respect to the complex coordinate ( z) is defined that can be used to find exact solutions for two-dimensional groundwater flow problems involving a semi-pervious boundary. Boundary conditions may involve a semi-pervious layer of constant resistance, vertical equipotential lines and vertical stream lines. Solutions are found by conformal mapping of the V-plane on the z-plane and solving the first-order differential equation that is formed by the relationship between V and z. Some examples of the use of the function V are given.
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