© 1996

Percolation Models for Transport in Porous Media

With Applications to Reservoir Engineering


Part of the Theory and Applications of Transport in Porous Media book series (TATP, volume 9)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Introduction

    1. V. I. Selyakov, V. V. Kadet
      Pages 1-3
  3. Fluid- and Electric Conductivity in Porous Media. Theoretical Analysis

    1. Front Matter
      Pages 5-5
    2. V. I. Selyakov, V. V. Kadet
      Pages 7-22
    3. V. I. Selyakov, V. V. Kadet
      Pages 41-56
    4. V. I. Selyakov, V. V. Kadet
      Pages 129-138
  4. Effects of Physical Fields on Recovery of Mineral Resources

    1. Front Matter
      Pages 139-141
    2. V. I. Selyakov, V. V. Kadet
      Pages 167-179
    3. V. I. Selyakov, V. V. Kadet
      Pages 215-228
  5. Back Matter
    Pages 229-243

About this book


It is an honour and pleasure to write a foreword to this useful and interesting book. Authors are very well known researchers who pioneered percolation modelling of transport in porous media in Russia from the early 80-th till nowadays. The main scope of the work presented in the book was developed when bright papers by A. Aharony, H.T. Davis, F.A.L. Dullien, A.A. Heiba, R.G. Larson, R. Lenormand, M.Sahimi, L.E. Scriven, D. Stauffer, M. Yanuka, Y.C.Yortsos were not available at the "other" side of the Iron Curtain. Nowadays hundreds of works and papers with the "percolation" keywords ap­ pear in petroleum and related applied research areas. The book will take a re­ markable place in the "petroleum percolation" bibliography. There are two important features of novelty in the monograph presented. First of all the authors developed a generalization of percolation clusters theory for grids with varying conductivity. Technique of representation of an infinite cluster as an hierarchial set of trees (so called r-chain model) allows to present conductivity of a stochastic grid in a closed form of explicit formulae. This method differs from those known in the West, such as effective media theory, solutions for the Bethe-lattice, etc. It has his own area of successful appli­ cations.


chemical engineering gas geology geophysics mineral multiphase flow porous media waves hydrogeology

Authors and affiliations

  1. 1.Laboratory of Heterogeneous Media, Department of Theoretical ProblemsRussian Academy of ScienceMoscowRussia
  2. 2.Department of Oil & Gas HydromechanicsState Gubkin Oil & Gas AcademyMoscowRussia

Bibliographic information

Industry Sectors
Materials & Steel
Oil, Gas & Geosciences