Exact and approximate calculations for the conductivity of sandstones

6533b839fe1ef96bd12a599a

RESEARCH PRODUCT

Exact and approximate calculations for the conductivity of sandstones

J. Widjajakusuma Rudolf Hilfer Rudolf Hilfer B. Biswal B. Biswal C. Manwart

subject

Statistics and Probability Laplace's equation Mathematical analysis Characterisation of pore space in soil Conductivity Condensed Matter Physics Porous medium Porosity Physics::Geophysics Mathematics

description

We analyze a three-dimensional pore space reconstruction of Fontainebleau sandstone and calculate from it the eective conductivity using local porosity theory. We compare this result with an exact calculation of the eective conductivity that solves directly the disordered Laplace equation. The prediction of local porosity theory is in good quantitative agreement with the exact result. c 1999 Elsevier Science B.V. All rights reserved.

year	journal	country	edition	language
1999-08-01	Physica A: Statistical Mechanics and its Applications

https://doi.org/10.1016/s0378-4371(99)00141-7

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