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longitudinal dispersion in nonuniform isotropic porous media

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2.2.2.1<br />

2.2.2.2<br />

vii<br />

TABLE OF CONTENTS (cont<strong>in</strong>ued)<br />

Random Capillary Tube Models<br />

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

2.3 Transport Phenomena <strong>in</strong> Nonuniform Media<br />

2.4 Summary<br />

CHAPTER 3 A THEORETICAL MODEL FOR PERMEABILITY AND<br />

LONGITUDINAL DISPERSION IN NONUNIFORM POROUS<br />

MEDIA<br />

3.1 Permeability <strong>in</strong> a Random Capillary Tube Network<br />

3.2 Longitud<strong>in</strong>al Dispersion <strong>in</strong> a Random Capillary Tube<br />

Network<br />

3.3 Asymptotic Behavior of the Longitud<strong>in</strong>al Dispersion<br />

3.4 Determ<strong>in</strong><strong>in</strong>g the Pore Radius and Pore Length Distributions<br />

3.5 Monte Carlo Integration for the Permeability and<br />

Dispersion<br />

CHAPTER 4 AN EXPERIMENTAL INVESTIGATION OF PERMEABILITY<br />

AND LONGITUDINAL DISPERSION IN NONUNIFORM POROUS<br />

MEDIA<br />

4.1 Apparatus and Materials<br />

4.2 Characterization of the Porous Media<br />

4.3 Column Experiments for Porosity and Permeability<br />

4.4 Column Experiments for Longitud<strong>in</strong>al Dispersion<br />

CHAPTER 5 A COMPARISON OF MODEL CALCULATIONS AND<br />

EXPERIMENTAL RESULTS<br />

5.1 Permeability Calculations; Determ<strong>in</strong><strong>in</strong>g Junction Connectivity 136<br />

5.2 Calculation of the Longitud<strong>in</strong>al Dispersion Coefficient 141<br />

5.3 Tail<strong>in</strong>g <strong>in</strong> the Breakthrough Curves 147<br />

Page<br />

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46<br />

48<br />

49<br />

60<br />

65<br />

74<br />

81<br />

85<br />

90<br />

99<br />

111<br />

121<br />

136

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