Modeling Phenomena of Flow and Transport in Porous Media

Beschreibung

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.
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

Autor*in

Jacob Bear

Themen in »Modeling Phenomena of Flow and Transport in Porous Media«

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

Stimmen zu »Modeling Phenomena of Flow and Transport in Porous Media«

“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)
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