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A fractional diffusion equation for a marker in porous media
1Centre de Physique Theorique, CNRS Luminy, Case 907, F-13288 Marseille, Cedex 9, France.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Abstract:
To study the properties of the flow of a marker through an irregular packed bed, porosity is described by stochastic processes with exponentially decaying correlation functions. We show that the ensemble average concentration of the marker satisfies a fractional diffusion equation. (c) 2001 American Institute of Physics.