Journal de Physique I

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DOI: 10.1051/jp1:1994107
J. Phys. I France 4 (1994) 1263-1268

Short Communication

Long-range correlated percolation and flow and transport in heterogeneous porous media

Muhammad Sahimi

Department of Chemical Engineering, University of Southern California Los Angeles, CA 90089-1211, U.S.A. and HLRZ Supercomputer Center, c/o KFA Jülich, Postfach 1913, 52425 Jülich, Germany

(Received 11 July 1994, accepted 13 July 1994)

Abstract
We introduce a percolation model with long-range correlations, and investigate its scaling properties. Using this model, we provide a theoretical explanation for experimental data for hydrodynamic dispersion in heterogeneous rock formations and aquifers that had remained unexplained for a long time.