engleski

Effective fluid flow in a porous medium containing a thin fissure

We study the fluid flow in a periodic porous medium with period epsilon containing a thin fissure with size delta. Depending on the ratio between epsilon and delta we find three different situations. For delta smaller then epsilonon power 2/3, the porous medium does not feel the fissure and the effective law is the Darcy law. For delta proportional to epsilon on power 2/3 we bout bparts of the domain are of the same importance and we obtain a coupled law at the limit. For delta larger then epsilon on power 2/3 the fissure dominates.

porous media; homogenization; thin fissure; coupled law

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