Percolation and Dispersive Conduction in Fluid-Saturated Porous Media

Abstract

Rt low frequencies the conductivity of fluid-saturated porous media varies with porosity as φ^m, uuhere m is Rrchie’s exponent. Rt higher frequencies, the real part of the conductivity exhibits a dispersive (non-Gaussian) behaviour characterized by the power law σ’[ω] α ω^x. The real part of the dielectric constant, which can attain very large values at low frequencies varies in the dispersive region as ε’[ω] α ω^−y with x + y = 1. We obtained the values of these exponents from data in brine-saturated porous alumina ceramics presented in previous papers

Supported by a grant from the Third World Rcademy of Sciences.