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Published May 1988 | Published
Journal Article Open

Anomalous diffusion in heterogeneous porous media


The dispersion of a passive tracer resulting from flow through heterogeneous porous media is studied. When the correlation length for the permeability fluctuations is finite, a normal diffusive process, with the mean-square displacement of the tracer growing linearly with time, is obtained at long times. However, it is shown that, when the correlation length diverges, anomalous diffusion occurs in which the mean-square displacement grows faster than linearly with time. The space–time evolution of the tracer's concentration is calculated and shown to be universal—uniquely related to the covariance of the permeability field—in the anomalous regime.

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© 1988 American Institute of Physics. Received 13 July 1987; accepted 12 January 1988.

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Published - KOCpof88.pdf


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August 22, 2023
August 22, 2023