IJPAM: Volume 42, No. 2 (2008)

NUCLEAR CONTAMINATION IN
A NATURALLY FRACTURED POROUS MEDIUM

Catherine Choquet
Laboratoire d'Analyse, Topologie, Probabilités - LATP
University Cézanne, Cour A
Marseille Cedex 20, 13397, FRANCE
e-mail: c.choquet@univ-cezanne.fr


Abstract.Most of the natural reservoirs contain highly conductive fissures together with a large number of matrix blocks. A classical approach for their modeling uses the double porosity concept of Barenblatt et al [#!Bar!#] (see also Arbogast et al [#!Dou!#], Choquet [#!Cho2!#]). The less permeable part of the rock contributes as global source terms for the transported solutes in the fracture. Using two-scale convergence and unfolding arguments, we derive rigorously a double porosity model for a miscible compressible flow of radionuclides.

Received: August 17, 2007

AMS Subject Classification: 76S05, 35K55, 35B27, 76M50

Key Words and Phrases: double porosity, homogenization

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 2