Reports (Research Report) Year : 2001

On a Convolution Operator Arising in a Double Porosity Model

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.

Domains

Other [cs.OH]
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Dates and versions

inria-00072502 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00072502 , version 1

Cite

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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