Model of diffusion in partially fissured media

Authors:
Horia I. Ene;Dan Polisěvski
Affiliations:
Romanian Academy, Institute of Mathematics, P.O.Box 1-764, RO-70700 Bucuresti, Romania;Romanian Academy, Institute of Mathematics, P.O.Box 1-764, RO-70700 Bucuresti, Romania
Venue:
Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
Year:
2002

Citing 3
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Abstract

We consider an ε-periodic structure formed by two interwoven and connected components which stand for the fissure system and the porous matrix. We assume that on the matrix-fissure interface the pressure has a jump of order ε-1 with respect to the fluid flux which is continuous. We prove that the corresponding homogenized system is exactly that proposed by Barenblatt and al. [1].