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Essentials of Multiphase Flow and Transport in Porous Media [Hardback]

(Princeton University),
  • Formāts: Hardback, 272 pages, height x width x depth: 259x182x18 mm, weight: 621 g
  • Izdošanas datums: 22-Aug-2008
  • Izdevniecība: Wiley-Interscience
  • ISBN-10: 0470317620
  • ISBN-13: 9780470317624
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  • Bibliotēkām
  • Formāts: Hardback, 272 pages, height x width x depth: 259x182x18 mm, weight: 621 g
  • Izdošanas datums: 22-Aug-2008
  • Izdevniecība: Wiley-Interscience
  • ISBN-10: 0470317620
  • ISBN-13: 9780470317624
Citas grāmatas par šo tēmu:
Learn the fundamental concepts that underlie the physics of multiphase flow and transport in porous media with the information in Essentials of Multiphase Flow in Porous Media, which demonstrates the mathematical-physical ways to express and address multiphase flow problems. Find a logical, step-by-step introduction to everything from the simple concepts to the advanced equations useful for addressing real-world problems like infiltration, groundwater contamination, and movement of non-aqueous phase liquids. Discover and apply the governing equations for application to these and other problems in light of the physics that influence system behavior.
Preface xi
Acknowledgments xiii
Setting the Stage
1(34)
Introduction
1(1)
Phases and Porous Media
2(4)
Grain and Pore Size Distributions
6(6)
The Concept of Saturation
12(1)
The Concept of Pressure
13(3)
Surface Tension Considerations
16(14)
Concept of Concentration
30(2)
Summary
32(1)
Exercises
32(3)
Bibliography
33(2)
Mass Conservation Equations
35(48)
Introduction
35(3)
Microscale Mass Conservation
38(1)
Integral Forms of Mass Conservation
39(5)
Integral Theorems
44(2)
Divergence Theorem
45(1)
Transport Theorem
45(1)
Point Forms of Mass Conservation
46(2)
The Macroscale Perspective
48(15)
The Representative Elementary Volume
49(1)
Global and Local Coordinate Systems
50(3)
Macroscopic Variables
53(3)
Definitions of Macroscale Quantities
56(6)
Summary of Macroscale Quantities
62(1)
The Averaing Theorems
63(4)
Spatial Averaging Theorem
64(2)
Temporal Averaging Theorem
66(1)
Macroscale Mass Conservation
67(6)
Macroscale Point Forms
67(4)
Integral Forms
71(2)
Applications
73(6)
Integral Analysis
74(2)
Point Analysis
76(3)
Summary
79(1)
Exercises
79(4)
Bibliography
81(2)
Flow Equations
83(82)
Introduction
83(2)
Darcy's Experiments
85(3)
Fluid Propeties
88(1)
Equations of State for Fluids
89(4)
Mass Fraction
89(1)
Mass Density and Pressure
90(2)
Fluid Viscosity
92(1)
Hydraulic Potential
93(5)
Hydrostatic Force and Hydraulic Head
93(4)
Derivatives of Hydraulic Head
97(1)
Single-Phase Fluid Flow
98(23)
Darcy's Law
99(3)
Hydraulic Conductivity and Permeability
102(4)
Derivation of Groundwater Flow Equation
106(5)
Recapitulation of the Derivation
111(2)
Initial and Boundary Conditions
113(3)
Two-Dimensional Flow
116(5)
Two-Phase Immiscible Flow
121(34)
Derivation of Flow Equations
121(6)
Observations on the Pc-Sw Relationship
127(8)
Formulas for the Pc-Sw Relationship
135(8)
Observations of the kα rel-Sw Relationship
143(3)
Formulas for the kαrel-Sw Relation
146(3)
Special Cases of Multiphase Flow
149(6)
The Buckley-Leverett Analysis
155(5)
Fractional Flow
155(2)
Derivation of the Buckley-Leverett Equation
157(1)
Solution of the Buckley-Leverett Equation
158(2)
Summary
160(1)
Exercises
161(4)
Bibliography
162(3)
Mass Transport Equations
165(34)
Introduction
165(2)
Velocity in the Species Transport Equations
167(9)
Direct Approach
168(1)
Rigorous Approach
169(3)
Distribution Approach
172(3)
Summary
175(1)
Closure Relations for the Dispersion Vector
176(4)
Chemical Reaction Rates
180(2)
Interphase Transfer Terms
182(13)
Kinetic Formulation
183(4)
Equilibrium Formulation
187(7)
Summary: Kinetic vs. Equilibrium Formulations
194(1)
Initial and Boundary Conditions
195(1)
Conclusion
196(1)
Exercises
197(2)
Bibliography
198(1)
Simulation
199(48)
1-D Simulation of Air-Water Flow
199(8)
Drainage in a Homogeneous Soil
201(4)
Drainage in a Heterogeneous Soil
205(1)
Imbibition in Homogeneous Soil
206(1)
1-D Simulation of DNAPL-Water Flow
207(6)
Primary DNAPL Imbibition in Homogeneous Soil
208(1)
Density Effect
208(1)
DNAPL Drainage in Homogeneous Soil
209(1)
Secondary Imbibtion of DNAPL in Homogeneous Soil
210(1)
Secondary Drainage in Homogeneous Soil
211(1)
Primary Imbibition in Heterogeneous Soil
212(1)
2-D Simulation of DNAPL-Water Flow
213(3)
DNAPL Descent into a Water-Saturated Reservoir
213(3)
Simulation of Multiphase Flow and Transport
216(8)
Two-Phase Flow and Transport
217(1)
Two-Phase Flow and Transport
218(6)
2-D Single-Phase Flow and Transport
224(12)
Base Case
228(1)
Effect of Inflow
228(2)
Impact of Well Discharge
230(1)
Effect of Adsorption
231(1)
Effect of a Low Transmissivity Region
232(2)
Effect of a High Transmissivity Region
234(1)
Effect of Rate of Reaction
235(1)
3-D Single-Phase Flow and Transport
236(3)
2-D Three-Phase Flow
239(5)
Summary
244(3)
Bibliography
245(2)
Select Symbols 247(6)
Index 253
George F. Pinder, PHD, is the Director of the Research Center for Groundwater Remediation Design and also a Professor of Civil and Environmental Engineering, Mathematics and Statistics, and Computer Science at the University of Vermont. He has served on the editorial board of numerous journals including the International Journal for Numerical Methods in Fluids. He has published extensively in the fields of groundwater flow and transport modeling and has written on the use of such models in combination with optimization methods in addressing problems of environmental optimal design.

William G. Gray, PHD, is a Professor of Environmental Sciences and Engineering at the University of North Carolina at Chapel Hill. He has over thirty years of research and teaching experience in environmental modeling and the physics of flow in porous media. He has published widely on various aspects of environmental modeling and simulation and has served as editor and on the editorial boards of leading journals in his field. He is a Fellow of the American Geophysical Union.