On a Convolution Operator Arising in a Double Porosity Model

Clarisse Alboin Jérôme Jaffré 1 Patrick Joly 2 Jean Roberts 2
2 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
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. Interpreting the coupling term as an operator, pseudo-differential in time, we obtain a method for calculating this term which is rapid in comparison with standard discretization methods.
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Clarisse Alboin, Jérôme Jaffré, Patrick Joly, Jean Roberts. On a Convolution Operator Arising in a Double Porosity Model. [Research Report] RR-4126, INRIA. 2001. ⟨inria-00072502⟩

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