Asymptotic analysis of pollution filtration through thin random fissures between two porous media

Authors:
A. Brillard;M. El Jarroudi;M. El Merzguioui
Affiliations:
Université de Haute-Alsace, Laboratoire de Gestion des Risques et Environnement, 25 rue de Chemnitz, F-68200, Mulhouse, France;Université Abdelmalek Essaídi, FST Tanger, Département de Mathématiques, B.P. 416, Tanger, Maroc;Université Abdelmalek Essaídi, FST Tanger, Département de Mathématiques, B.P. 416, Tanger, Maroc
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

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Abstract

We describe the asymptotic behaviour of a filtration problem from a contaminated porous medium to a non-contaminated porous medium through thin vertical fissures of fixed height h0, of random thinness of order @e and which are @e-periodically distributed. We compute the limit velocity of the flow and the limit flux of pollutant at the interfaces between the two porous media and the intermediate one.