FLUID FLOW
IN A VERY NONHOMOGENEOUS
POROUS MEDIUM

Alexander
Shnirelman
Professor of the TelAviv University
1999 visiting prof. at
Princeton University

Fluid flow in porous media is a main component of
many natural and technological
processes, like an oil and water recovery. The porous medium is usually
nonhomogeneous,
and this nonhomogeneity is sometimes very high: the local permeability
may vary within
some number N of decimal orders, where N may be big. I am going to
describe the properties
of the flow field in this extreme case. The velocity and pressure fields
are completely
described in terms of geometry and topology of the permeability field.
The problem is
solved by probabilistic methods.
The talk is selfcontained, and no background is
required.
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