Preface |
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xi | |
Acknowledgments |
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xiii | |
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1 | (34) |
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1 | (1) |
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2 | (4) |
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Grain and Pore Size Distributions |
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6 | (6) |
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The Concept of Saturation |
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12 | (1) |
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13 | (3) |
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Surface Tension Considerations |
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16 | (14) |
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30 | (2) |
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32 | (1) |
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32 | (3) |
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33 | (2) |
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Mass Conservation Equations |
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35 | (48) |
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35 | (3) |
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Microscale Mass Conservation |
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38 | (1) |
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Integral Forms of Mass Conservation |
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39 | (5) |
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44 | (2) |
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45 | (1) |
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45 | (1) |
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Point Forms of Mass Conservation |
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46 | (2) |
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The Macroscale Perspective |
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48 | (15) |
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The Representative Elementary Volume |
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49 | (1) |
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Global and Local Coordinate Systems |
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50 | (3) |
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53 | (3) |
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Definitions of Macroscale Quantities |
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56 | (6) |
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Summary of Macroscale Quantities |
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62 | (1) |
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63 | (4) |
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Spatial Averaging Theorem |
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64 | (2) |
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Temporal Averaging Theorem |
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66 | (1) |
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Macroscale Mass Conservation |
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67 | (6) |
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67 | (4) |
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71 | (2) |
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73 | (6) |
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74 | (2) |
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76 | (3) |
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79 | (1) |
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79 | (4) |
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81 | (2) |
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83 | (82) |
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83 | (2) |
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85 | (3) |
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88 | (1) |
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Equations of State for Fluids |
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89 | (4) |
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89 | (1) |
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Mass Density and Pressure |
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90 | (2) |
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92 | (1) |
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93 | (5) |
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Hydrostatic Force and Hydraulic Head |
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93 | (4) |
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Derivatives of Hydraulic Head |
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97 | (1) |
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98 | (23) |
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99 | (3) |
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Hydraulic Conductivity and Permeability |
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102 | (4) |
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Derivation of Groundwater Flow Equation |
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106 | (5) |
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Recapitulation of the Derivation |
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111 | (2) |
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Initial and Boundary Conditions |
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113 | (3) |
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116 | (5) |
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Two-Phase Immiscible Flow |
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121 | (34) |
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Derivation of Flow Equations |
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121 | (6) |
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Observations on the Pc-Sw Relationship |
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127 | (8) |
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Formulas for the Pc-Sw Relationship |
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135 | (8) |
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Observations of the kα rel-Sw Relationship |
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143 | (3) |
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Formulas for the kαrel-Sw Relation |
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146 | (3) |
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Special Cases of Multiphase Flow |
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149 | (6) |
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The Buckley-Leverett Analysis |
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155 | (5) |
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155 | (2) |
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Derivation of the Buckley-Leverett Equation |
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157 | (1) |
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Solution of the Buckley-Leverett Equation |
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158 | (2) |
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160 | (1) |
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161 | (4) |
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162 | (3) |
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165 | (34) |
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165 | (2) |
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Velocity in the Species Transport Equations |
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167 | (9) |
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168 | (1) |
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169 | (3) |
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172 | (3) |
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175 | (1) |
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Closure Relations for the Dispersion Vector |
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176 | (4) |
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180 | (2) |
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Interphase Transfer Terms |
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182 | (13) |
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183 | (4) |
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187 | (7) |
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Summary: Kinetic vs. Equilibrium Formulations |
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194 | (1) |
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Initial and Boundary Conditions |
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195 | (1) |
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196 | (1) |
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197 | (2) |
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198 | (1) |
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199 | (48) |
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1-D Simulation of Air-Water Flow |
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199 | (8) |
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Drainage in a Homogeneous Soil |
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201 | (4) |
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Drainage in a Heterogeneous Soil |
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205 | (1) |
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Imbibition in Homogeneous Soil |
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206 | (1) |
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1-D Simulation of DNAPL-Water Flow |
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207 | (6) |
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Primary DNAPL Imbibition in Homogeneous Soil |
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208 | (1) |
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208 | (1) |
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DNAPL Drainage in Homogeneous Soil |
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209 | (1) |
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Secondary Imbibtion of DNAPL in Homogeneous Soil |
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210 | (1) |
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Secondary Drainage in Homogeneous Soil |
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211 | (1) |
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Primary Imbibition in Heterogeneous Soil |
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212 | (1) |
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2-D Simulation of DNAPL-Water Flow |
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213 | (3) |
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DNAPL Descent into a Water-Saturated Reservoir |
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213 | (3) |
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Simulation of Multiphase Flow and Transport |
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216 | (8) |
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Two-Phase Flow and Transport |
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217 | (1) |
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Two-Phase Flow and Transport |
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218 | (6) |
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2-D Single-Phase Flow and Transport |
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224 | (12) |
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228 | (1) |
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228 | (2) |
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230 | (1) |
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231 | (1) |
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Effect of a Low Transmissivity Region |
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232 | (2) |
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Effect of a High Transmissivity Region |
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234 | (1) |
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Effect of Rate of Reaction |
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235 | (1) |
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3-D Single-Phase Flow and Transport |
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236 | (3) |
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239 | (5) |
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244 | (3) |
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245 | (2) |
Select Symbols |
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247 | (6) |
Index |
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253 | |