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A boundary element method for analysis of contaminant transport in porous media I: homogeneous porous media
Author(s) -
Leo C. J.,
Booker J. R.
Publication year - 1999
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(19991210)23:14<1681::aid-nag971>3.0.co;2-u
Subject(s) - laplace transform , boundary element method , porous medium , mathematical analysis , integral transform , algebraic equation , integral equation , mathematics , analytic element method , laplace transform applied to differential equations , boundary value problem , dispersion (optics) , finite element method , porosity , geotechnical engineering , physics , engineering , nonlinear system , thermodynamics , optics , quantum mechanics
A boundary element method is developed for the analysis of contaminant migration in porous media. The technique involves, firstly, taking the Laplace transform with respect to time then followed by a co‐ordinate transform and a mathematical transform of the well‐known advection–dispersion equation. The series of transforms reduce the equation into the modified Helmholz equation and this greatly facilitates the formulation of the boundary integral equation and a system of approximating algebraic boundary element equations. The algebraic equations are solved simultaneously in the transform space before being inverted numerically to obtain the concentration of the contaminant in real time and space. The application of this technique is demonstrated by some illustrative examples. Copyright © 1999 John Wiley & Sons, Ltd.