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longitudinal dispersion in nonuniform isotropic porous media

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ACKNOWLEDGEMENTS<br />

ABSTRACT<br />

LIST OF FIGURES<br />

LIST OF TABLES<br />

CHAPTER 1 INTRODUCTION<br />

vi<br />

TABLE OF CONTENTS<br />

1.1 Phenomenological Description of Flow Through Porous<br />

Media<br />

1.2 Phenomenological Description of Dispersion <strong>in</strong> Porous<br />

Media<br />

1.3 Mechanisms of Dispersion<br />

1.3.1<br />

1.3.2<br />

1.3.3<br />

Molecular Diffusion<br />

Tortuosity<br />

Differential Advection<br />

1.4 Porous Medium Classification and Dispersion<br />

1.5 Scope of This Study<br />

CHAPTER 2 LITERATURE REVIEW<br />

2.1 Permeability Models<br />

2.1.1<br />

2.1.2<br />

2.1.3<br />

2.1.4<br />

2.1.5<br />

2.2 Dispersion Models<br />

Bundle of Capillary Tubes<br />

Hydraulic Radius Model<br />

Random Capillary Tube Network<br />

Volume-Averag<strong>in</strong>g Model<br />

Determ<strong>in</strong>istic Network Model<br />

2.2.1 Cell Models<br />

2.2.2 Statistical Models<br />

Page<br />

1.1.<br />

1.V<br />

1.X<br />

X1.1.<br />

1<br />

2<br />

5<br />

13<br />

14<br />

14<br />

15<br />

16<br />

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26<br />

31

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