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.
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"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)
"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)