Advertisement

Percolation Theory for Flow in Porous Media

  • Allen Hunt
  • Robert Ewing
  • Behzad Ghanbarian

Part of the Lecture Notes in Physics book series (LNP, volume 880)

Table of contents

  1. Front Matter
    Pages I-XXIV
  2. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 1-35
  3. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 37-57
  4. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 59-101
  5. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 103-129
  6. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 131-156
  7. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 157-217
  8. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 219-272
  9. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 297-312
  10. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 313-331
  11. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 333-408
  12. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 409-428
  13. Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 429-434
  14. Back Matter
    Pages 435-447

About this book

Introduction

This 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 approach 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 introduce physicists to some of the language and complications of groundwater hydrology necessary for successful modeling. The end-of-chapter problems often indicate open questions, which young researchers entering the field can readily start working on. This significantly revised and expanded third edition includes in particular two new chapters: one on advanced fractal-based models, and one devoted to the discussion of various open issues such as the role of diffusion vs. advection, preferential flow vs. critical path, universal vs. non-universal exponents for conduction, and last but not least, the overall influence of the experimental apparatus in data collection and theory validation. "The book is suitable for advanced graduate courses, with selected problems and questions appearing at the end of each chapter. [...] I think the book is an important work that will guide soil scientists, hydrologists, and physicists to gain a better qualitative and quantitative understanding of multitransport properties of soils." (Marcel G. Schaap, Soil Science Society of America Journal, May-June, 2006)

Keywords

Continuum Percolation Critical Path Analysis Fractal-based Models in Soil Physics Hydraulic Conductivity Percolation Theory Transport in Porous Media

Authors and affiliations

  • Allen Hunt
    • 1
  • Robert Ewing
    • 2
  • Behzad Ghanbarian
    • 3
  1. 1.Department of Earth and Environmental SciencesWright State UniversityDaytonUSA
  2. 2.Department of AgronomyIowa State UniversityAmesUSA
  3. 3.Department of Earth and Environmental SciencesWright State UniversityDaytonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-03771-4
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-03770-7
  • Online ISBN 978-3-319-03771-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site