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. Front Matter ....Pages i-xxv Porous Media (Jacob Bear)....Pages 1-98 Some Elements of Thermodynamics (Jacob Bear)....Pages 99-173 Fundamental Balance Equations and Fluxes (Jacob Bear)....Pages 175-254 Momentum Balance and Motion Equation (Jacob Bear)....Pages 255-291 Modeling Single-Phase Mass Transport (Jacob Bear)....Pages 293-366 Modeling Multiphase Mass Transport (Jacob Bear)....Pages 367-450 Modeling Transport of Chemical Species (Jacob Bear)....Pages 451-572 Modeling Energy and Mass Transport (Jacob Bear)....Pages 573-623 Poromechanics and Deformation (Jacob Bear)....Pages 625-660 Back Matter ....Pages 661-742