Abstract
An analytic solution is presented describing flow to a drain in a semi-infinite domain bounded by a leaky layer of constant thickness. The solution is developed by applying the method of images to two parallel boundaries: an inhomogeneity boundary and an equipotential boundary. It is then demonstrated that the solution for the problem with the leaky layer approximated by a leaky boundary (a mixed boundary condition) may be obtained by allowing the thickness, h *, and the hydraulic conductivity, k *, of the leaky layer to vanish while holding the ratio h */ k * constant. A method of images for leaky boundaries is proposed, in which a drain is imaged with respect to a leaky boundary by an image drain and an image line dipole. The method of images for a leaky boundary is applied to solve the problem of flow to a horizontal drain in a semi-confined aquifer.
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