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RESEARCH PRODUCT
Quantitative comparison of mean field mixing laws for conductivity and dielectric constants of porous media
Rudolf HilferRudolf HilferJ. WidjajakusumaB. BiswalB. Biswalsubject
Statistics and ProbabilityMaterials scienceDiscretizationMean field theoryCondensed matter physicsRange (statistics)DielectricConductivityCondensed Matter PhysicsPorous mediumPorosityMixing (physics)description
Abstract Exact numerical solution of the electrostatic disordered potential problem is carried out for four fully discretized three-dimensional experimental reconstructions of sedimentary rocks. The measured effective macroscopic dielectric constants and electrical conductivities are compared with parameter-free predictions from several mean field type theories. All these theories give agreeable results for low contrast between the media. Predictions from local porosity theory, however, match for the entire range of contrast.
year | journal | country | edition | language |
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2003-02-01 | Physica A: Statistical Mechanics and its Applications |