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Statistical Relationship between Apparent Dielectric Constant and Water Content in Porous Media¹

ABSTRACT

A theoretical relationship between the apparent dielectric constant (K_a) and the water content (_r) of porous media is presented. The dielectric effect of the porous medium is investigated at the microscopic scale of the probable path of an electric charge. This path is a function of the environment of the charge. Only one parameter, the number of degrees of freedom of the charge is necessary to describe the heterogeneity of the porous medium. The results of this model generally agree very well with recently published experimental data.

¹ Contribution from the Unit of Management and Water Resources of the Agricultural Engineering Department of the University of Louvain, B-1348 Louvain-la-Neuve, Belgium.

² Assistant, Professor of Soil Physics, and Professor of Electronics, respectively.

Received for publication December 20, 1982. Accepted for publication May 31, 1984.