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Informationen zum Autor 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. Klappentext Mathematical-physical ways to express and address multiphase flow problemsThis resource introduces the fundamental concepts that underlie the physics of multiphase flow and transport in porous media. It guides readers logically and step by step from simple concepts to advanced equations useful for addressing real-world problems including infiltration, groundwater contamination, and movement of non-aqueous phase liquids. The text develops governing equations for application to these and other problems in light of the physics that influence system behavior. Essentials of Multiphase Flow and Transport in Porous Media:* Introduces some of the qualitative physical characteristics of porous media* Develops and assesses constitutive relationships and parameters that provide quantitative measures of these characteristics* Derives equations that translate qualitative considerations to a quantitative description* Employs and explores mass conservation for species and phases* Makes use of Darcy's law along with carefully described boundary conditions to obtain complete mathematical descriptions of subsurface systems* Provides sample physical problems and solutions that illustrate physical and mathematical aspects of multiphase flow and transportNot only will readers better understand general governing equations, they will also be able to apply the equations to specific physical problems involving single and multiphase flow and transport in porous media. Because in-depth knowledge of continuum mechanics, mixture theory, porous media flow, and averaging theory is not assumed, this book is a timely reference for advanced undergraduate students and graduate students; practicing hydrogeologists, engineers, and scientists; and those interested in developing mastery of the important fundamental principles that underlie modeling of multiphase systems. Zusammenfassung This book looks at the mathematical-physical rationale behind the equations that are currently used to describe the flow of fluid and transport of solutes in porous media. It presents a comprehensive approach to the development of appropriate equations without prior knowledge of continuum mechanics, mixture theory, or similar areas of expertise. Inhaltsverzeichnis 1. Setting the Stage. 1.1 Introduction. 1.2 Phases and Porousmedia. 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. 2. Mass Conservation Equations. 2.1 Introduction. 2.2 Microscalemass Conservation. 2.3 Integral Forms Ofmass Conservation. 2.4 Integral Theorems. 2.4.1 Divergence Theorem. 2.4.2 Transport Theorem. 2.5...
