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On a Convolution Operator Arising in a Double Porosity Model
Clarisse Alboin, Jérôme Jaffré, Patrick Joly, Jean Roberts

On a Convolution Operator Arising in a Double Porosity Model

Science & Mathematics Published 2001 Verification Pending

Overview & Synopsis

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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Document Information

Document Title On a Convolution Operator Arising in a Double Porosity Model
Author / Organization Clarisse Alboin, Jérôme Jaffré, Patrick Joly, Jean Roberts
Subject & Discipline Multidisciplinary Academic Open Research
Categories Science & Mathematics
Publication Year 2001
License / Rights Open Access / Creative Commons
Resource Verification Listed PDF (Verification Pending)
Original Host Website HAL Open Science (hal.science)
File Format application/pdf (Portable Document Format)
Language EN
Catalog ID DOC-80893
Original Source Link Visit Source Page on hal.science »