Percolation Theory for Flow in Porous Media

Allen G. Hunt (auth.)9780849395840, 0849395844

The present monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The treatment is based on critical path analysis and the scaling of transport properties which are individually described as functions of saturation.

At the same time, the book supplies a tutorial on percolation theory for hydrologists, providing them with the tools for solving actual problems. In turn, a separate chapter serves to introduces physicists to some of the language and complications of groundwater hydrology necessary for succesful modelling.

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Table of contents :
Percolation Theory….Pages 1-31
Porous Media Primer for Physicists….Pages 33-66
Specific Examples of Critical Path Analysis….Pages 67-87
Basic Constitutive Relations for Unsaturated Media….Pages 89-120
Pressure Saturation Curves and the Critical Volume Fraction for Percolation….Pages 121-143
Applications of the Correlation Length….Pages 145-155
Applications of the Cluster Statistics….Pages 157-171
Effects of Multi-Scale Heterogeneity….Pages 173-187
References….Pages 189-202