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作者 Pinder, George F
書名 Essentials of Multiphase Flow and Transport in Porous Media
出版項 Hoboken : John Wiley & Sons, Incorporated, 2008
©2008
國際標準書號 9780470380796 (electronic bk.)
9780470317624
book jacket
版本 1st ed
說明 1 online resource (273 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
附註 Intro -- ESSENTIALS OF MULTIPHASE FLOW AND TRANSPORT IN POROUS MEDIA -- CONTENTS -- Preface -- Acknowledgments -- 1 Setting the Stage -- 1.1 Introduction -- 1.2 Phases and Porous Media -- 1.3 Grain and Pore Size Distributions -- 1.4 The Concept of Saturation -- 1.5 The Concept of Pressure -- 1.6 Surface Tension Considerations -- 1.7 Concept of Concentration -- 1.8 Summary -- 1.9 Exercises -- Bibliography -- 2 Mass Conservation Equations -- 2.1 Introduction -- 2.2 Microscale Mass Conservation -- 2.3 Integral Forms of Mass Conservation -- 2.4 Integral Theorems -- 2.4.1 Divergence Theorem -- 2.4.2 Transport Theorem -- 2.5 Point Forms of Mass Conservation -- 2.6 The Macroscale Perspective -- 2.6.1 The Representative Elementary Volume -- 2.6.2 Global and Local Coordinate Systems -- 2.6.3 Macroscopic Variables -- 2.6.4 Definitions of Macroscale Quantities -- 2.6.5 Summary of Macroscale Quantities -- 2.7 The Averaging Theorems -- 2.7.1 Spatial Averaging Theorem -- 2.7.2 Temporal Averaging Theorem -- 2.8 Macroscale Mass Conservation -- 2.8.1 Macroscale Point Forms -- 2.8.2 Integral Forms -- 2.9 Applications -- 2.9.1 Integral Analysis -- 2.9.2 Point Analysis -- 2.10 Summary -- 2.11 Exercises -- Bibliography -- 3 Flow Equations -- 3.1 Introduction -- 3.2 Darcy's Experiments -- 3.3 Fluid Properties -- 3.4 Equations of State for Fluids -- 3.4.1 Mass Fraction -- 3.4.2 Mass Density and Pressure -- 3.4.3 Fluid Viscosity -- 3.5 Hydraulic Potential -- 3.5.1 Hydrostatic Force and Hydraulic Head -- 3.5.2 Derivatives of Hydraulic Head -- 3.6 Single-Phase Fluid Flow -- 3.6.1 Darcy's Law -- 3.6.2 Hydraulic Conductivity and Permeability -- 3.6.3 Derivation of Groundwater Flow Equation -- 3.6.4 Recapitulation of the Derivation -- 3.6.5 Initial and Boundary Conditions -- 3.6.6 Two-Dimensional Flow -- 3.7 Two-Phase Immiscible Flow -- 3.7.1 Derivation of Flow Equations
3.7.2 Observations on the p(c)-s(w) Relationship -- 3.7.3 Formulas for the p(c)-s(w) Relationship -- 3.7.4 Observations of the k(α)(rel)-s(w) Relationship -- 3.7.5 Formulas for the k(α)(rel)-s(w) Relation -- 3.7.6 Special Cases of Multiphase Flow -- 3.8 The Buckley-Leverett Analysis -- 3.8.1 Fractional Flow -- 3.8.2 Derivation of the Buckley-Leverett Equation -- 3.8.3 Solution of the Buckley-Leverett Equation -- 3.9 Summary -- 3.10 Exercises -- Bibliography -- 4 Mass Transport Equations -- 4.1 Introduction -- 4.2 Velocity in the Species Transport Equations -- 4.2.1 Direct Approach -- 4.2.2 Rigorous Approach -- 4.2.3 Distribution Approach -- 4.2.4 Summary -- 4.3 Closure Relations for the Dispersion Vector -- 4.4 Chemical Reaction Rates -- 4.5 Interphase Transfer Terms -- 4.5.1 Kinetic Formulation -- 4.5.2 Equilibrium Formulation -- 4.5.3 Summary: Kinetic vs. Equilibrium Formulations -- 4.6 Initial and Boundary Conditions -- 4.7 Conclusion -- 4.8 Exercises -- Bibliography -- 5 Simulation -- 5.1 1-D Simulation of Air-Water Flow -- 5.1.1 Drainage in a Homogeneous Soil -- 5.1.2 Drainage in a Heterogeneous Soil -- 5.1.3 Imbibition in Homogeneous Soil -- 5.2 1-D Simulation of DNAPL-Water Flow -- 5.2.1 Primary DNAPL Imbibition in Homogeneous Soil -- 5.2.2 Density Effect -- 5.2.3 DNAPL Drainage in Homogeneous Soil -- 5.2.4 Secondary Imbibition of DNAPL in Homogeneous Soil -- 5.2.5 Secondary Drainage in Homogeneous Soil -- 5.2.6 Primary Imbibition in Heterogeneous Soil -- 5.3 2-D Simulation of DNAPL-Water Flow -- 5.3.1 DNAPL Descent into a Water-Saturated Reservoir -- 5.4 Simulation of Multiphase Flow and Transport -- 5.4.1 1-D Two-Phase Flow and Transport -- 5.4.2 2-D Two-Phase Flow and Transport -- 5.5 2-D Single-Phase Flow and Transport -- 5.5.1 Base Case -- 5.5.2 Effect of Inflow -- 5.5.3 Impact of Well Discharge -- 5.5.4 Effect of Adsorption
5.5.5 Effect of a Low Transmissivity Region -- 5.5.6 Effect of a High Transmissivity Region -- 5.5.7 Effect of Rate of Reaction -- 5.6 3-D Single-Phase Flow and Transport -- 5.7 2-D Three-Phase Flow -- 5.8 Summary -- Bibliography -- Select Symbols -- Index
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
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Pinder, George F. Essentials of Multiphase Flow and Transport in Porous Media Hoboken : John Wiley & Sons, Incorporated,c2008 9780470317624
主題 Porous materials -- Fluid dynamics -- Mathematical models.;Multiphase flow -- Mathematical models
Electronic books
Alt Author Gray, William G
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