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[×ÊÔ´] ¡¾¹²Ïí¡¿¡¾Êé¼®¡¿Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media (Lecture Notes in Physics)
3540261109, Pages: 228

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.

Table of Contents

1 Percolation theory 1
2 Porous media primer for physicists 33
3 Specific examples of critical path analysis 67
4 Basic constitutive relations for unsaturated media 89
5 Pressure saturation curves and the critical volume fraction for percolation 121
6 Applications of the correlation length 145
7 Applications of the cluster statistics 157
8 Effects of multi-scale heterogeneity 173

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