Modeling Phenomena of Flow and Transport in Porous Media

1. Front Matter

   Pages i-xxv

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2. Porous Media

   • Jacob Bear

   Pages 1-98

3. Some Elements of Thermodynamics

   • Jacob Bear

   Pages 99-173

4. Fundamental Balance Equations and Fluxes

   • Jacob Bear

   Pages 175-254

5. Momentum Balance and Motion Equation

   • Jacob Bear

   Pages 255-291

6. Modeling Single-Phase Mass Transport

   • Jacob Bear

   Pages 293-366

7. Modeling Multiphase Mass Transport

   • Jacob Bear

   Pages 367-450

8. Modeling Transport of Chemical Species

   • Jacob Bear

   Pages 451-572

9. Modeling Energy and Mass Transport

   • Jacob Bear

   Pages 573-623

10. Poromechanics and Deformation

    • Jacob Bear

    Pages 625-660

11. Back Matter

    Pages 661-742

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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.

• Porous medium and modeling of flow
• Continuum approach and transport in porous media
• Modeling flow and transport
• Fractured media and transport in porous media
• Thermodynamics and porous medium
• hydrogeology
• partial differential equations

“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)

• Department of Civil and Environmental Engineering, Technion—Israel Institute of Technology, Haifa, Israel

  Jacob Bear

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.

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