Geometrical model of conductive and dielectric properties of partially saturated rocks

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Abstract
Dielectric constant and conductivity of three-component porous media are calculated using a geometrical model. Applications are made to experiments on clay-free sedimentary rocks partially saturated with hydrocarbon and water, and air and water. A good agreement with experimental data at high frequency (GHz) is obtained using only a spherical grain shape. The low-frequency (MHz) data cannot be explained by the spherical grain alone, but a bimodal distribution of spherical and platey grains gives a fair agreement. The low-frequency dielectric constant is very sensitive to the grain-shape distribution, but at high frequency is not.