Seepage from channels through layered porous mediums

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Abstract
Solutions to steady‐state free surface problems of seepage from channels through porous mediums consisting of layers of different permeabilities are obtained by using the methods of finite differences. In the formulation of the problem, the magnitudes of the coordinates x and y are considered the dependent variables, and the potential function and the stream function are considered the independent variables. The method permits the shape of the interface that separates the two layers with different permeabilities to be specified. In the event that each layer is anisotropic, but with different ratios of horizontal to vertical permeabilities, the interface between the two layers is restricted to being horizontal. Example solutions are given for arbitrarily specified interfaces for both the case of seepage from a trapezoidal channel through homogeneous isotropic mediums in each layer (but of different permeabilities) and the case of anisotropic mediums in which the ratio of horizontal to vertical permeabilities is different for each layer.

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