Transport and relaxation phenomena in porous media
Hilfer, R.
1996 Chapter in Advances in Chemical Physics, Eds.: I. Prigogine, S.A. Rice, XCII, 299-424 (1996)
Hilfer, R., (1996), "Transport and relaxation phenomena in porous media", Chapter in Advances in Chemical Physics, Eds.: I. Prigogine, S.A. Rice, XCII, 299-424 (1996).
Abstract:
The article reviews recent advances concerning fluid transport and dielectric relaxation in porous media. Special emphasis is placed on geometric characterizations of the correlated microstructure, and on the problem of upscaling from microscopic to macroscopic length scales. Computational schemes for calculating effective macroscopic transport properties are selected with preference to parameterfree mean field calculations and homogenization techniques. Static and dynamic correlations between geometrical properties and transport quantities are elucidated in detail for single phase fluid transport and dielectric relaxation. The microscopic and macroscopic dimensional analysis of the equations of motion governing two phase flow is critically reviewed. The analysis is applied to the interpretation of laboratory experiments and field scale estimates for macroscopic immiscible diplacement.
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