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Boundary Element Analysis of Flow in Heterogenous Porous Media

by Gerard P. Lennon, Lehigh Univ, Dep of Civil, Engineering, Bethlehem, PA, USA,



Document Type: Proceeding Paper

Part of: Water for Resource Development

Abstract:

The boundary integral equation method (BIEM) is an efficient numerical method which has been applied to a wide variety of engineering problems governed by a partial differential equation with constant coefficients. A major advantage of the BIEM is that the governing differential equation with constant coefficients is solved exactly in the domain. A method which applies the BIEM to flow in a nonhomogeneous medium where the permeability is a function of space is developed. The method requires the evaluation of an area term which is discretized into internal sub-areas. The procedure developed here extends the application of the BIEM to a much broader range of problems than previously possible.

Subject Headings: Boundary element method | Differential equations | Porous media flow | Numerical methods | Integrals | Integral equations | Fluid flow

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