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 self-contained, and no background is required.
 

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