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Percolation Theory for Flow in Porous Media

  • Book
  • Mar 2011

Overview

Authors:
  1. Robert Ewing
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  2. Allen Hunt
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  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 771)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Percolation Theory: Topology and Structure

    • Allen Hunt, Robert Ewing
    Pages 1-36

  3. Properties Relevant for Transport and Transport Applications

    • Allen Hunt, Robert Ewing
    Pages 37-55

  4. Porous Media Primer for Physicists

    • Allen Hunt, Robert Ewing
    Pages 57-96

  5. Specific Examples of Critical Path Analysis

    • Allen Hunt, Robert Ewing
    Pages 97-122

  6. Hydraulic and Electrical Conductivity: Conductivity Exponents and Critical Path Analysis

    • Allen Hunt, Robert Ewing
    Pages 123-167

  7. Other Transport Properties of Porous Media

    • Allen Hunt, Robert Ewing
    Pages 169-206

  8. Pressure–Saturation Curves and the Critical Volume Fraction for Percolation: Accessibility Function of Percolation Theory

    • Allen Hunt, Robert Ewing
    Pages 207-231

  9. Applications of the Correlation Length: Scale Effects on Flow

    • Allen Hunt, Robert Ewing
    Pages 233-246

  10. Applications of the Cluster Statistics

    • Allen Hunt, Robert Ewing
    Pages 247-264

  11. Properties based on Tortuosity

    • Allen Hunt, Robert Ewing
    Pages 265-285

  12. Effects of Multi-Scale Heterogeneity

    • Allen Hunt, Robert Ewing
    Pages 287-306

  13. Back Matter

    Pages 1-13
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About this book

Why would we wish to start a 2nd edition of “Percolation theory for ?ow in porous media” only two years after the ?rst one was ?nished? There are essentially three reasons: 1) Reviews in the soil physics community have pointed out that the introductory material on percolation theory could have been more accessible. Our additional experience in teaching this material led us to believe that we could improve this aspect of the book. In the context of rewriting the ?rst chapter, however, we also expanded the discussion of Bethe lattices and their relevance for “classical” - ponents of percolation theory, thus giving more of a basis for the discussion of the relevance of hyperscaling. This addition, though it will not tend to make the book more accessible to hydrologists, was useful in making it a more complete reference, and these sections have been marked as being possible to omit in a ?rst reading. It also forced a division of the ?rst chapter into two. We hope that physicists without a background in percolation theory will now also ?nd the - troductory material somewhat more satisfactory. 2) We have done considerable further work on problems of electrical conductivity, thermal conductivity, and electromechanical coupling.

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