Effective electrical conductivity of 3-D heterogeneous porous media

Details Effective electrical conductivity of 3-D heterogeneous porous media Effective electrical conductivity of 3-D heterogeneous porous media

Jul 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002georl..29n..14h&link_type=abstract

Geophysical Research Letters, Volume 29, Issue 14, pp. 14-1, CiteID 1669, DOI 10.1029/2002GL014907

Physics

Geophysics

1

Physical Properties Of Rocks: Magnetic And Electrical Properties, Physical Properties Of Rocks: Permeability And Porosity, Mineral Physics: Electrical Properties, Exploration Geophysics: Magnetic And Electrical Methods, Electromagnetics: Numerical Methods

Scientific paper

The relationship between the physical properties and the effective electrical conductivity of porous structures is studied using three-dimensional (3-D) models of random porosity. Synthetic electric (DC) and electromagnetic (EM) field data are calculated for a 3-D electrical conductivity model with a random porosity p (p = 2 - 70%) embedded in a homogeneous half-space. The effective conductivity of the random porosity model is obtained from inversion of the synthetic data and agrees with a modified Archie's law. We applied percolation theory to our random porosity model to explain the variation of effective conductivity with p. We found that EM and DC data do not provide the same effective conductivity at a particular porosity but they do provide the same volume fraction of interconnected conductive elements. This volume fraction depends on the percolation threshold pc. It follows a law of the form ~p above pc and ~p2.2 below pc.

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