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.
The author is grateful to Thor Engøy, Karl-Sigurd Årland and Christian Ostertag-Henning for providing him with Figures 5, 8, and 12, and especially to Espen Haslund for allowing him to use Figure 19 prior to publication. He thanks B. Virgin for technical assistance, Prof. Dr. B. Nøst, Prof.Dr. T. Jøssang, and Prof. Dr. J. Feder for their hospitality in Oslo, and Prof. Dr. D.H. Welte and Dr. U. Mann for their interest and support. He gratefully acknowledges Norges Forskningsråd and Forschungszentrum Jülich for partial financial support.