Research Article
Oct 1981
Integral Equation Formulation for Ground-Water Flow
Authors: Bruce Hunt and Lewis T. IsaacsAuthor Affiliations
Publication: Journal of the Hydraulics Division
Volume 107, Issue 10
Abstract
Advantages of boundary integral equation methods (BIEM) for the analysis of two-dimensional flows through porous media are numerous. The data required and the number of unknowns are significantly fewer than for other general, numerical methods such as finite differences of finite element methods. A BIEM based on the Cauchy integral equation is developed. This formulation has the advantage that the equation used for any unknown is a Fredholm equation of the second kind which results in well-conditioned equations and allows nodes to be closely spaced in the region of singularities. The method is extended to the analysis of multizone, anisotropic flows. Computational algorithms for solution of the equations by a simple iterative method and by direct solution of the full set of simultaneous linear equations are developed.
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Published In
Journal of the Hydraulics Division
Volume 107 • Issue 10 • October 1981
Pages: 1197 - 1209
Copyright
© 1981 American Society of Civil Engineers.
History
Published in print: Oct 1981
Published online: Feb 3, 2021
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Authors
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Bruce Hunt
Reader in Civ. Engrg., Univ. of Canterbury, Christchurch, 1 New Zealand
Lewis T. Isaacs
Sr. Lect. in Civ. Engrg., Univ. of Queensland, Brisbane, Australia
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