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  • Book
  • © 2014

Percolation Theory for Flow in Porous Media

  • Introduces a new approach to compute basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion
  • Authored by leading specialists in the field
  • Self-contained and tutorial presentation
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XXIV
  2. Percolation Theory: Topology and Structure

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 1-35
  3. Properties Relevant for Transport and Transport Applications

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 37-57
  4. Porous Media Primer for Physicists

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 59-101
  5. Fractal Models of Porous Media

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 103-129
  6. Specific Examples of Critical Path Analysis

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 131-156
  7. Hydraulic and Electrical Conductivity: Conductivity Exponents and Critical Path Analysis

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 157-217
  8. Other Transport Properties of Porous Media

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 219-272
  9. Applications of the Correlation Length: Scale Effects on Flow

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 297-312
  10. Applications of the Cluster Statistics

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 313-331
  11. Properties Based on Tortuosity

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 333-408
  12. Effects of Multi-scale Heterogeneity

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 409-428
  13. Misconceptions

    • Allen Hunt, Robert Ewing, Behzad Ghanbarian
    Pages 429-434
  14. Back Matter

    Pages 435-447

About this book

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)

Reviews

From the book reviews:

“This is the third edition of the book of A. G. Hunt … . The main aim is the study of connectivity and correlations as the main explanation of the properties of flows in porous media. … This book could be very useful to physicists, hydrologists and students who wish to understand the complexity of the flows in porous media. Specific problems and significant reference lists are given at the end of each chapter.” (Gelu Paşa, zbMATH, Vol. 1300, 2015)

Authors and Affiliations

  • Department of Earth and Environmental Sciences, Wright State University, Dayton, USA

    Allen Hunt, Behzad Ghanbarian

  • Department of Agronomy, Iowa State University, Ames, USA

    Robert Ewing

Bibliographic Information

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access