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MACROSCOPIC ELECTRICAL CONDUCTIVITY FOR MICROSTRUCTURES OF SANDSTONES
Abstract
A quantitative analysis of digital samples of a sandstone core is presented. We compare an exact calculation of the effective electrical conductivity that solves directly the disordered Laplace equation with the result obtained with the help of theoretical Landau-Lifshitz-Matheron type formulas for log-stable probability distributions. To apply these formulas we take measurements of conductivity in cubic subsamples K of sidelength l<L, L is sidelength of digital total sample. Based on these measurements we obtain the effective coefficients for the whole sample. The prediction of effective conductivity by Landau-Lifshitz--Matheron type formula is good quantitative agreement with the exact results.
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