A SINGULAR PERTURBATION PROBLEM IN FRACTURED MEDIA WITH PARALLEL DIFFUSION
1998 ◽
Vol 08
(04)
◽
pp. 645-655
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Keyword(s):
We study differential equations that model contaminant flow in a semi-infinite, fractured, porous medium consisting of a single fracture channel bounded by a porous matrix. Models in the literature usually do not incorporate diffusion in the porous matrix in the direction parallel to the fracture, and therefore they must omit a no-flux boundary condition at the edge, which, in some problems, may be unphysical. Herein we show that the problem usually treated in the literature is the outer problem for a correctly posed singular perturbation problem which includes diffusion in both directions as well as the no-flux boundary condition.
1999 ◽
Vol 59
(4)
◽
pp. 1322-1334
◽
1999 ◽
Vol 99
(2-3)
◽
pp. 179-193
◽
1996 ◽
Vol 17
(5)
◽
pp. 413-421
◽
2001 ◽
Vol 18
(2)
◽
pp. 393-403
◽
Keyword(s):