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

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

2010-11-25

arxiv.org/abs/1011.5680v1

Mathematical and Computer Modelling 51, 5-6 (2009) 768-790

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.mcm.2009.10.016

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 h>0, of random thinness of order {\epsilon} and which are $\epsilon$-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.

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