Modelling and Applications of Transport Phenomena in Porous Media

Transport phenomenain porous media are encounteredin various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricul tural engineering and soil science. In these disciplines, problems are en countered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often, the void space of the porous material contains two or three fluid phases, and the various ex tensive quantities are transported simultaneously through the multiphase system. In all these disciplines, decisions related to a system's development and its operation have to be made. To do so a tool is needed that will pro vide a forecast of the system's response to the implementation of proposed decisions. This response is expressed in the form of spatial and temporal distributions of the state variables that describe the system's behavior. Ex amples of such state variables are pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, The tool that enables the required predictions is the model. A model may be defined as a simplified version of the real porous medium system and the transport phenomena that occur in it. Because the model is a sim plified version of the real system, no unique model exists for a given porous medium system. Different sets of simplifying assumptions, each suitable for a particular task, will result in different models.

Autorentext
Jacob Bear is a Professor Emeritus at the Dept. of Civil & Environmental Engineering of the Technion - Israel Institute of Technology, Haifa, Israel, where, for many years, he held the Albert and Anne Mansfield Chair in Water Resources. He received his B.Sc., P.E., and M.Sc. degrees from the Technion, and his Ph.D. degree from the Univ. of California at Berkeley (1960). He was the first recipient (1977) of the Birdsall Distinguished Lecturer in Hydrogeology, awarded by the Geological Society of America, Hydrogeological Div., Washington, D.C. He was awarded Honorary Doctorates in Technological Sciences both by the Delft Univ. of Technology, The Netherlands (1978), and by E.T.H., Zurich, Switzerland (1988). He is a fellow of the American Geophysical Union, and was awarded the 1990 K. Hubbert Award by the National Ground Water Association (USA). He was awarded the Rothschild Prize in Engineering (Israel) in 1998 and the Excellence in Education Medal by the American Geophysical Union(AGU) in 2003. He was elected Boussinesq Lecturer for 2006 by the Boussinesq Center for Hydrology, Amsterdam, The Netherlands. In 2009, he was the first to be awarded honorary lifetime membership by INTERPORE-The International Society for Porous medium. The American Geophysical Union (AGU) awarded him The Horton medal for 2010, for his contributions to hydrology. In 2014 he was awarded honorary lifetime membership of the Israel Association for Water Resources. He joined the Faculty of Civil Engineering at the Technion - Israel Inst. of Technology in 1960, and was promoted to professor in 1970 and has served as deputy vice president (1970-1972), vice president for academic affairs (1972-1976), dean of the Graduate School (1984-1986). He was the first director of the S. Neaman Institute for Advanced Studies in Science and Technology (1978-1982), and dean of Civil Engineering (1995-1997). In 2003 he founded the School of Engineering at the Kinneret College on the Sea of Galilee,Zemach, Israel, and served as its first dean until 2014. His teaching, research, and consulting cover the areas of groundwater hydrology and hydraulics, management of water resources, subsurface contamination and remediation, and the general theory of transport phenomena in porous media. Since 2008, he has been conducting research on CO2 sequestration in deep geological formations within the framework of the European Community. He was a consultant on groundwater hydrology and management, policy and development of water resources to the Hydrological Service Water Commission, Ministry of Agriculture, (1960-1987), to Water Planning for Israel Ltd. (TAHAL) (1960-1989), to Sandia National Laboratory, to Lawrence Livermore National Laboratory (1990-2010), and to private companies in Israel and abroad. His work has been summarized in over 200 papers in scientific journals, research reports, and books. He authored six well-known books, used by students and practitioners around the globe.

Inhalt
1 EIGHT LECTURES ON MATHEMATICAL MODELLING OF TRANSPORT IN POROUS MEDIA.- 1.1 Lecture One: Introduction.- 1.2 Lecture Two: Microscopic Balance Equations.- 1.3 Lecture Three: Macroscopic Balance Equations.- 1.4 Lecture Four: Advective Flux.- 1.5 Lecture Five: Complete Transport Model.- 1.6 Lecture Six: Modelling Mass Transport of a Single Fluid Phase Under Isothermal Conditions.- 1.8 Lecture Eight: Modelling Contaminant Transport.- References.- List of Main Symbols.- 2 MULTIPHASE FLOW IN POROUS MEDIA Th. DRACOS Swiss Federal Inst. of Technology (E.T.H.) Zurich, Switzerland.- 2.1 Capillary Pressure.- 2.2 Flow Equations for Immiscible Fluids.- 2.3 Mass Balance Equations.- 2.4 Simultaneous Flow of Two Fluids having a Small Density Difference.- 2.5 Measurement of the relations pc?i(S?i), and kr,?i(S?i).- 2.6 Mathematical descripton of the relations between pc,wSwand k,r,w.- 2.7 Complete Statement of Multiphase Flow Problems.- 2.8 Solute transport in multiphase flow through porous media.- References.- List of Main Symbols.- 3 PHASE CHANGE PHENOMENA AT LIQUID SATURATED SELF HEATED PARTICULATE BEDS J-M. BUCHLIN and A. STUBOS von Karman Institute for Fluid Dynamics Rhode Saint Genèse B-1640, Belgium.- 3.1 Introduction.- 3.2 Preboiling Phenomenology.- 3.3 Boiling regime and dryout heat flux.- 3.4 Constitutive Relationships-Bed Disturbances.- 3.5 Conclusions.- A. Zero-Dimensional Model.- B. Fractional downward heat flux by conduction.- C. Sub cooled zone thickness at the top of the bed.- References.- List of Main Symbols.- 4 HEAT TRANSFER IN SELF-HEATED PARTICLE BEDS SUBMERGED IN LIQUID COOLANT KENT MEHR and JORGEN WÜRTZ Commission of the European Communities Joint Research Centre, Ispra, Italy.- 4.1 The PAHR Scenario.- 4.2 Specific PAHR Phenomena.- 4.3 PAHR-2D.- 4.4 In-pileexperiments.- References.- List of Main Symbols.- 5 PHYSICAL MECHANISMS DURING THE DRYING OF A POROUS MEDIUM CH. MOYNE, CH. BASILICO, J. CH. BATSALE and A._DEGIOVANNI. Laboratoire d'Energétique et de Mécanique Théorique et Appliquée U.A. C.N.R.S. 875, Ecoles des Mines, Nancy, France.- 5.1 General Aspects of the Drying Process.- 5.2 A General Model for Simultaneous Heat and Mass Transfer in a Porous Medium.- 5.3 Application to Drying.- 5.4 Conclusions.- References.- List of Main Symbols.- 6 STOCHASTIC DESCRIPTION OF POROUS MEDIA G. DE MARSILY Ecole des Mines de Paris, l'Université Pierre et Marie Curie Paris, France.- 6.1 Definition of Properties of Porous Media: The Example of Porosity.- 6.2 Stochastic Approach to Permeability and Spatial Variability.- 6.3 Stochastic Partial Differential Equations.- 6.4 Example of stochastic solution to the transport equation.- 6.5 The problem of estimation of a RF by kriging.- 6.6 The intrinsic hypothesis: definition of the variogram.- 6.7 Conclusions.- References.- List of Main Symbols.