longitudinal dispersion in nonuniform isotropic porous media

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viii TABLE OF CONTENTS (continued) CHAPTER 6 SUMMARY AND CONCLUSIONS; SUGGESTIONS FOR FUTURE RESEARCH 6.1 Summary and Conclusions for the Investigation of Longitudinal Dispersion 6.2 Summary of the Permeability Investigation 6.3 Suggestions for Future Research REFERENCES NOTATION APPENDIX A GENERATION OF UNIFORM RANDOM NUMBERS REFERENCE APPENDIX B A COMPARISON OF SOLUTIONS FOR THE BREAKTHROUGH PROBLEM IN POROUS COLUMNS B.1 The Breakthrough Problem B.2 Comparison of Solutions B.3 Summary REFERENCES APP:8NDTX rC SHEAR DISPERSION AND RESIDENCE TIME FOR LAMINAR FLOW IN CAPILLARY TUBES Page 155 155 158 159 162 166 171 179 180 181 186 194 195 197
Figure 1.1 1.2 1.3 1.4 1.5 2.1 2.2 2.3 2.4 2.5 2.6 2.7 3.1 3.2 3.3 3.4 4.1 ix LIST OF FIGURES Flow in a One-Dimensional, Homogeneous Packed Column Development of an Instantaneous Point Source During Flow Through a One-Dimensional, Homogeneous Packed Column Miscible Displacement in a One-Dimensional, Homogeneous Packed Column Transverse Dispersion with Coflowing Streams in a Homogeneous Sand Pack Structural Features of Porous Media Longitudinal Dispersion vs. Peclet Number in Uniform Porous Media Inverse Dynamic Peclet Number for Longitudinal Dispersion vs. Peclet Number in Uniform Porous Media Transverse Dispersion vs. Peclet Number in Uniform Porous Media Inverse Dynamic Pee let Number for Transverse Dispersion vs. Peelet Number in Uniform Porous Media Random Capillary Tube Network Theories for Longitudinal Dispersion Random Capillary Tube Network Theories for Transverse Dispersion Volume-Averaging Theory for Longitudinal Dispersion Definition Sketch for the Random Capillary Tube Definition Sketch for the Unit Cell Longitudinal Profile, Developed from an Instantaneous Point Source" V tId = 100 , s g Packing Model for a Nonuniform Porous Medium Packed Column for Miscible Displacement Experiments Showing Conductivity Probes and Piezometers Page 3 6 9 12 29 30 32 33 36 37 42 50 57 67 80 87
Page 1 and 2: LONGITUDINAL DISPERSION IN NONUNIFO
Page 4 and 5: ii ACKNOWLEDGEMENTS This research p
Page 6 and 7: iv ABSTRACT A theoretical and exper
Page 8 and 9: ACKNOWLEDGEMENTS ABSTRACT LIST OF F
Page 12 and 13: 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.1
Page 14: Table 3.1 3.2 4.1 4.2 4.3 4.4 4.5 5
Page 24: o en -o ::J o CD FLOW .. Solute Con
Page 33 and 34: porous medium and an unconsolidated
Page 35: 20 CHAPTER 2 LITERATURE REVIEW Tran
Page 43: (1/2) V yd s From experiments, they
Page 54: 39 governed by an effective advecti
Page 61 and 62:
2.4 SUmmary 46 Several different cl
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48 CHAPTER 3 A THEORETICAL MODEL FO
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Q = 52 (3.1) where P'cos8 is the pr
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I 1 FLOW 3 PORE • JUNCTION 57 CAP
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shows a histogram of 10000 particle
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This expression gives the frequency
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PERMEABILITY where 82 TABLE 3.1 Sum
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LITER RESERVOIR (FRESH OR SALINE) O
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100 screens are needed to character
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VQ!gme-W@ight@d pistripgtiop(a) Gra
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108 space in the medium, while the
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120 When one fluid displaces anothe
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126 medium type. This deviation of
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D v 134 Table 4.5 Longitudinal Disp
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137 Monte Carlo integration techniq
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145 Table 5.3 Computed Results for
Page 166 and 167:
where a m £ m total porosity 151 =
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154 number flows since the advectio
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160 homogeneous packing is not to b
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167 f( £) = probability density fo
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175 to a known distribution functio
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177 Table A.2 Kolmogorov-Smirnov Te
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181 a change 1n source strength ove
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186 where P = vL/4D L and Ak are th
Page 209:
B.3 Summary 194 Solutions for the m
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longitudinal dispersion in nonuniform isotropic porous media

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