longitudinal dispersion in nonuniform isotropic porous media

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4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 4.12 4.13 4.14 4.15 4.16 4.17 4.18 4.19 4.20 4.21 4.22 x LIST OF FIGURES (continued) Characteristic Breakthrough Curve Measured at a Fixed Location Packed Column Apparatus Showing Flow System Packed Column Apparatus Showing Conductivity Data Acquisition System Cross-Sectional Sketch of Conductivity Probe with Detail of Probe Plates External Half-Bridge Circuit Voltage Divider and Low Pass Filter for Sanborn Output (after Lepelletier, 1980) Apparatus for the Capillary Drainage Measurements Volume-Weighted Grain Size Distributions, Pd(d) Area-Weighted Grain Size Distribution, J(d) Volume-Weighted Pore Radius Distribution, P (a) a Pore Radius Frequency Distribution, G(a) Conductivity Probe Calibration Curves Breakthrough Curve, Uniform Medium (Pe = 733, Probe 3) Breakthrough Curve, Nonuniform Medium (Pe = 2477, Probe Breakthrough Curve, Uniform Medium (Pe = 353, Probe 3) Breakthrough Curve, Nonuniform Medium (Pe = 477, Probe Breakthrough Curve, Uniform Medium (Pe = 56.1, Probe 3) Breakthrough Curve, Nonuniform Medium (Pe = 50.7, Probe Breakthrough Curve, Nonuniform Medium (Pe 2722, Probe 2) Breakthrough Curve, Nonuniform Medium (Pe = 2135, Probe 1) Measured Longitudinal Dispersion Coefficients Versus Peclet Number 3) 3) 3) Page 88 92 94 95 97 97 98 101 103 109 112 116 124 125 127 128 129 130 131 132 133
5.1 5.2 5.3 5.4 5.5 5.6 B.l B.2 B.3 B.4 B.5 xi LIST OF FIGURES (continued) Monte Carlo Convergence for the Calculation of Permeability in the Uniform Medium Monte Carlo Convergence for the Calculation of Permeability in the Nonuniform Medium Longitudinal Dispersion Versus Peclet Number; Measured and Computed Values Monte Carlo Convergence for the Calculation of the Longitudinal Dispersion Coefficient in the Uniform Medium; Peclet = 670 Monte Carlo Convergence for the Calculation of the Longitudinal Dispersion Coefficient in the Nonuniform Medium; Peclet = 2450 Dependence of the Tail of Normalized Breakthrough Curve on Peclet Number for Nonuniform Media Breakthrough Theories, X=0.8 Breakthrough Theories, X=2.4 Breakthrough Theories, X=8.0 Breakthrough Theories, X=24.0 Breakthrough Theories, X=80.0 Page 139 140 144 148 149 153 188 189 190 191 192
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 10 and 11: viii TABLE OF CONTENTS (continued)
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
Page 63:
48 CHAPTER 3 A THEORETICAL MODEL FO
Page 67:
Q = 52 (3.1) where P'cos8 is the pr
Page 72:
I 1 FLOW 3 PORE • JUNCTION 57 CAP
Page 81:
shows a histogram of 10000 particle
Page 92:
This expression gives the frequency
Page 97:
PERMEABILITY where 82 TABLE 3.1 Sum
Page 107 and 108:
LITER RESERVOIR (FRESH OR SALINE) O
Page 115:
100 screens are needed to character
Page 120 and 121:
VQ!gme-W@ight@d pistripgtiop(a) Gra
Page 123:
108 space in the medium, while the
Page 135:
120 When one fluid displaces anothe
Page 141:
126 medium type. This deviation of
Page 149:
D v 134 Table 4.5 Longitudinal Disp
Page 152 and 153:
137 Monte Carlo integration techniq
Page 160 and 161:
145 Table 5.3 Computed Results for
Page 166 and 167:
where a m £ m total porosity 151 =
Page 169 and 170:
154 number flows since the advectio
Page 175 and 176:
160 homogeneous packing is not to b
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167 f( £) = probability density fo
Page 190 and 191:
175 to a known distribution functio
Page 192 and 193:
177 Table A.2 Kolmogorov-Smirnov Te
Page 196:
181 a change 1n source strength ove
Page 201:
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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