6533b7d8fe1ef96bd126abfb

RESEARCH PRODUCT

Local porosity theory for electrical and hydrodynamical transport through porous media

Rudolf HilferRudolf Hilfer

subject

Statistics and ProbabilityPhysicsContext (language use)MechanicsCondensed Matter PhysicsPhysics::GeophysicsCharacterization (materials science)Theoretical physicsPermeability (earth sciences)Flow (mathematics)Simple (abstract algebra)Current (fluid)PorosityPorous medium

description

The current status of local porosity theory for transport in porous media is briefly reviewed. Local porosity theory provides a simple and general method for the geometric characterization of stochastic geometries with correlated disorder. Combining this geometric characterization with effective medium theory allows for the first time to understand a large variety of electrical and hydrodynamical flow experiments on porous rocks from a single unified theoretical framework. Rather than reproducing or rephrasing the original results the present review attempts instead to place local porosity theory within the context of other current developments in theory and experiment.

https://doi.org/10.1016/0378-4371(93)90372-b