Percolation Theory for Flow in Porous Media

• Main Author: Hunt, Allen G. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Physics, 674
• Subjects: Earth sciences.; Hydrology.; Hydrogeology.; Continuum physics.; Statistical physics.; Dynamical systems.; Earth Sciences.; Hydrology/Water Resources.; Statistical Physics, Dynamical Systems and Complexity.; Classical Continuum Physics.; Earth Sciences, general.

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 t...

Table of Contents:

• Percolation Theory
• Porous Media Primer for Physicists
• Specific Examples of Critical Path Analysis
• Basic Constitutive Relations for Unsaturated Media
• Pressure Saturation Curves and the Critical Volume Fraction of Percolation
• Applications of the Correlation Length
• Applications of the Cluster Statistics
• Effects of Multi-Scale Heterogeneity.