CaltechAUTHORS
  A Caltech Library Service

The symmetry properties of the effective diffusivity tensor in anisotropic porous media

Koch, Donald L. and Brady, John F. (1987) The symmetry properties of the effective diffusivity tensor in anisotropic porous media. Physics of Fluids, 30 (3). pp. 642-650. ISSN 0031-9171. http://resolver.caltech.edu/CaltechAUTHORS:KOCpof87

[img]
Preview
PDF
See Usage Policy.

1046Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:KOCpof87

Abstract

The effect of anisotropic grain structures on the average transport properties resulting from flow through porous media is derived using methods that involve ensemble averaging the basic conservation equations and a multiple-scale analysis. The Lagrangian or "moments" effective diffusivity tensor, defined as the long-time limit of the time rate of change of the mean-squared displacement of a tracer particle, is equivalent to the symmetric part of the Eulerian diffusivity, defined as the mass flux induced by a linear concentration gradient in the limit of long times. In an anisotropic medium there may be a component of the mass flux perpendicular to the imposed concentration gradient, resulting in an effective diffusivity tensor that is not symmetric. Such an effect is not detected by the moments or Lagrangian approach.


Item Type:Article
Additional Information:© 1987 American Institute of Physics. Received 13 June 1986; accepted 4 December 1986.
Record Number:CaltechAUTHORS:KOCpof87
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KOCpof87
Alternative URL:http://dx.doi.org/10.1063/1.866368
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9852
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Mar 2008
Last Modified:26 Dec 2012 09:53

Repository Staff Only: item control page