This book discusses methods and results from the theory of homogenization and their applications to flow and transport in porous media. It offers a systematic and rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales. The chapters are devoted to percolation, Newtonian, non-Newtonian phenomena, two phase flow, miscible displacement, thermal and elastic effects. Detailed studies of micro-structure systems and computational results for dual-porosity models are presented. This book will be of interest to readers who want to learn the main underlying ideas and concepts of modern mathematical theory, including the most recently obtained results and applications. Mathematicians, soil physicists, geo-hydrologists, chemical engineers, researchers working in an oil reservoir simulation and the environmental sciences, will find this book of particular interest.
Homogenization and Porous Media
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Inside This Book
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First Sentence:
Roughly speaking, homogenization is a mathematical method that allows us to "upscale" differential equations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
totally fissured medium, partially fissured medium, mesoscopic equations, consolidated granular media, homogenized limit, homogenized problem, fissured media, law with memory, homogenized tensor, homogenized system, capillary pressure relation, fissure pressure, periodic porous medium, microstructure models, filtration law, homogenized equation, fracture equations, periodic homogenization, fissure system, homogenized coefficients, immobile water, secondary flux, mesoscopic model, pore level, fractured medium Key Phrases - Capitalized Phrases (CAPs): (learn more)
Mesoscopic Viscous New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Roughly speaking, homogenization is a mathematical method that allows us to "upscale" differential equations. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
totally fissured medium, partially fissured medium, mesoscopic equations, consolidated granular media, homogenized limit, homogenized problem, fissured media, law with memory, homogenized tensor, homogenized system, capillary pressure relation, fissure pressure, periodic porous medium, microstructure models, filtration law, homogenized equation, fracture equations, periodic homogenization, fissure system, homogenized coefficients, immobile water, secondary flux, mesoscopic model, pore level, fractured medium Key Phrases - Capitalized Phrases (CAPs): (learn more)
Mesoscopic Viscous New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 32
books:
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45
books
cite this book:
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- Composite Media and Homogenization Theory (Progress in Nonlinear Differential Equations and Their Applications) by Del Maso in Back Matter (1), and Back Matter (2)
- Mathematical Modelling of Flow Through Porous Media by Alain Bourgeat in Back Matter (1), and Back Matter (2)
- Numerical Analysis (Proceedings of Symposia in Applied Mathematics, V. 22) by American Mathematical Society in Back Matter
- Transport Phenomena, 2nd Edition by R. Byron Bird in Back Matter
- Finite Element Methods: Lecture Notes in Pure and Applied Mathematics, Vol 196 by Michel Krizek in Back Matter
See all 32 books this book cites
- Macroscale Models of Flow by M. Panfilov on page 118, page 122, and page 325
- Filtration in Porous Media and Industrial Application: Lectures given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) ... / C.I.M.E. Foundation Subseries) (v. 1734) by M.S. Espedal on page 7, Back Matter (1), and Back Matter (2)
- Progress in Industrial Mathematics at ECMI 2000 (Mathematics in Industry / The European Consortium for Mathematics in Industry) by Angelo M. Anile on page 51, and page 486
- Plates, Laminates and Shells: Asymptotic Analysis and Homogenization (Series on Advances in Mathematics for Applied Sciences) by T. Lewinski in Back Matter (1), and Back Matter (2)
- Control Theory of Partial Differential Equations (Lecture Notes in Pure and Applied Mathematics) by Guenter Leugering on page 238, and page 239
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