Modeling Phenomena of Flow and Transport in Porous Media

This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering. The phenomena of transport of extensive quantities, like mass of fluid phases, mass of chemical species dissolved in fluid phases, momentum and energy of the solid matrix and of fluid phases occupying the void space of porous medium domains are encountered in all these disciplines. The book, which can also serve as a text for courses on modeling in these disciplines, starts from first principles and focuses on the construction of well-posed mathematical models that describe all these transport phenomena.

Presents a detailed analysis of the physics, chemistry and thermodynamic basis (and of the corresponding mathematical representations) of all phenomena and processes of flow and transport of mass and momentum and energy through porous/fractured media Provides the foundations of the continuum approach and to mathematical modeling at the microscopic and macroscopic levels of mass momentum and energy in single and multiphase flow and transport Allows readers to develop a thorough understanding of the coefficients appearing in models of transport in porous media; from the question of "what is a porous medium" to well-posed mathematical models Starting from first principles, it develops continuum mathematical models of mass, momentum and energy transport in single and multi-phase flow in porous media Includes an in-depth discussion of well-posed mathematical models of coupled processes associated with the transport of single- and multiple interacting phases and multi-component reactive solute transport in multiphase flow involving phase changes and interphase transfers Develops models of porous medium deformation and geo-mechanical processes Includes supplementary material: sn.pub/extras

Auteur
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 INTERPOREThe 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.

Résumé
"The author presents the material in a clear way, aiming not only to arrive at models but also considering what deliberations are necessary to arrive at models which can be deemed reasonable. The contents of the book are accessible to mathematicians, but also to physicists, engineers and related interested parties." (H. Muthsam, Monatshefte für Mathematik, Vol. 194 (3), March, 2021)
"The book is designed primarily for advanced undergraduate and graduate students interested in porous media, water hydrology, soil mechanics, soil physics, petroleum and chemical engineering. It is highly recommended as well to scientists and engineers already working in these fields, and to university teachers. Systematic and comprehensive, this book satisfies the highest standards of excellence and will undoubtedly become a standard reference book in the field of porous media." (Ioan Pop, zbMATH 1390.76001, 2018)

Contenu
Porous Media.- Some Elements of Thermodynamics.- Fundamental Balance Equations and Fluxes.- Momentum Balance and Motion Equations.- Modeling Single-Phase Mass Transport.- Modeling Multiphase Mass Transport.- Modeling Transport of Chemical Species.- Modeling Energy and Mass Transport.- Poromechanics and Deformation.