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Semigroup solution for layered filtration

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1 Author(s)
Song Binheng ; Department of Applied Mathematics, Tsinghua University, Beijing 100084

This paper deals with a simple case of filtration in a layered porous media. A new kind of PDE (partial differential equntion) problem is proposed to explain such phenomena as the transition of fluid in layered porous media. The characteristic of these problems is that across the interface between the two layers, the flux is conserved, but the fluid content in general is different. This situation is very different from the model of filtration in homogeneous porous media, in which the primary objective is to maintain fluid continuity.

Published in:

Tsinghua Science and Technology  (Volume:2 ,  Issue: 3 )