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Anomalous diffusion in heterogeneous porous media

Koch, Donald L. and Brady, John F. (1988) Anomalous diffusion in heterogeneous porous media. Physics of Fluids, 31 (5). pp. 965-973. ISSN 0031-9171. http://resolver.caltech.edu/CaltechAUTHORS:KOCpof88

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1063/1.866716DOIUNSPECIFIED
http://dx.doi.org/10.1063/1.866716PublisherUNSPECIFIED
Additional Information:© 1988 American Institute of Physics. Received 13 July 1987; accepted 12 January 1988.
Subject Keywords:POROUS MATERIALS, INHOMOGENEOUS MATERIALS, DIFFUSION, FLUID FLOW, CORRELATION LENGTH, FLUCTUATIONS
Record Number:CaltechAUTHORS:KOCpof88
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KOCpof88
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11578
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Sep 2008 02:11
Last Modified:26 Dec 2012 10:16

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