Percolation Models for Transport in Porous Media

1. Front Matter

   Pages i-xi

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2. Introduction

   1. Introduction

      • 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

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   2. Percolation Model of Micro Heterogeneous Media

      • V. I. Selyakov, V. V. Kadet

      Pages 7-22

   3. Percolation Models of One-Phase Flow in Rocks of Different Types

      • V. I. Selyakov, V. V. Kadet

      Pages 23-39

   4. Percolation Model of Fluid Flow in Heterogeneous Media

      • V. I. Selyakov, V. V. Kadet

      Pages 41-56

   5. Percolation Model of Steady State Multiphase Flow in Porous Media

      • V. I. Selyakov, V. V. Kadet

      Pages 57-87

   6. Percolation Model of Non-Steady State Two-Phase Flow in Porous Media

      • V. I. Selyakov, V. V. Kadet

      Pages 89-104

   7. Determination of Pore Size Distribution in Grained and Cavernous Rocks

      • V. I. Selyakov, V. V. Kadet

      Pages 105-127

   8. Methods for Determining Parameters of Fractured Rocks

      • 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

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   2. Conductivity of a Heterogeneous Medium under Impulse and Alternating Current

      • V. I. Selyakov, V. V. Kadet

      Pages 143-155

   3. Changing Conductivity and Pore Space Structure with Electric Current. Experiments

      • V. I. Selyakov, V. V. Kadet

      Pages 157-166

   4. Changing Well Production with Electric Treatment

      • V. I. Selyakov, V. V. Kadet

      Pages 167-179

   5. Gas Colmatation Effect during Electric Action on Saturated Porous Media

      • V. I. Selyakov, V. V. Kadet

      Pages 181-198

   6. Effects of Acoustic Waves on Irreversible Change of Permeability of a Saturated Porous Medium

      • V. I. Selyakov, V. V. Kadet

      Pages 199-213

   7. Effect of Acoustic Action on Well Production

      • V. I. Selyakov, V. V. Kadet

      Pages 215-228

5. Back Matter

   Pages 229-243

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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

• Laboratory of Heterogeneous Media, Department of Theoretical Problems, Russian Academy of Science, Moscow, Russia

  V. I. Selyakov

• Department of Oil & Gas Hydromechanics, State Gubkin Oil & Gas Academy, Moscow, Russia

  V. V. Kadet

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