Page 6 - Percolation Models for Transport in Porous Media With

Contents

Foreword ix

Abstract xi

Introduction 1

I Fluid- and Electric Conductivity in Porous Media.
Theoretical Analysis 5

1 Percolation Model of Micro Heterogeneous Media 7
1.1 Percolation Theory. Basic Concepts . . . . . . . . . . . . . . . . . 7
1.2 Conductivity of a Network with the Random Distribution of Elements 12
1.3 Effect of Electric Current on Conductivity of Heterogeneous Media 18

2 Percolation Models of One-Phase Flow in Rocks of Different Types 23
2.1 Conductivity of Grained Media . . . . 23
2.2 "Permeability- Porosity" Correlation 26
2.3 Conductivity of Cavernous Media . . . 28
2.4 Conductivity of Fractured Media . . . 30
2.5 Conductivity As a Function of the Strained State . 34
3 Percolation Model of Fluid Flow in Heterogeneous Media 41
3.1 Flow at the Micro Level . . . . . . . . . . . . . . . . . . . . . 41
3.2 Effect of Pore Space Structure on Laws for Macroscopic Flow 47
3.3 Results of Numerical Calculations and Comparison with Experiment 53

4 Percolation Model of Steady State Multiphase Flow in Porous
Media 57
4.1 Steady State Flow of Immiscible Newtonian Fluids . . . . . . 57
4.2 Effect of Plastic Properties of Fluids on Phase Permeabilities 64

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