A comparison of methods for calculating the matrix block source term in a double porosity model for contaminant transport.

Clarisse Alboin Jérôme Jaffré Patrick Joly 1 Jean E. Roberts Christophe Serres
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : Contaminant transport in a fractured porous medium can be modeled, under appropriate conditions, with a double porosity model. Such a model consists of a parabolic equation with a coupling term describing contaminant exchange between the fractures, which have high permeability, and the matrix block, which has low permeability. A locally conservative method based on mixed finite elements is used to solve the parabolic problem, and the calculation of the coupling term, which involves the solution of diffusion equations in the matrix blocks, is based on an analytic expression. Numerical experiments show that this semi-analytic method for the coupling term is accurate and faster than several other methods but at a small expense of computer memory.
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Submitted on : Tuesday, May 13, 2014 - 11:14:51 AM
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Clarisse Alboin, Jérôme Jaffré, Patrick Joly, Jean E. Roberts, Christophe Serres. A comparison of methods for calculating the matrix block source term in a double porosity model for contaminant transport.. Computational Geosciences, Springer Verlag, 2002, 6 (3-4), pp.523-543. ⟨hal-00990175⟩

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