H. Ene
Romania
ON THE MICROSTRUCTURE MODELS OF POROUS MEDIA
HORIA I. ENE
Using the homogenization method we shall discuss several clases of double-porosity models. We introduce the model of partially fissured medium in which there is some fluid flow directly through the cell structure.
The aim of the present paper is to determine the diffusion from the system of fissures to the matrix of porous cells. The order of magnitude of such a transfer by diffusion gives rise to very different models at the macroscale. One of them is preciselly the model described by Barenblatt. Note also there exists four other different models.
The convergence of the homogenization process is proved by using the two-scale convergence.
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