Homogenization And Porous Media
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Homogenization And Porous Media
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Author : Ulrich Hornung
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Homogenization And Porous Media written by Ulrich Hornung and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.
Homogenization Of Coupled Phenomena In Heterogenous Media
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Author : Jean-Louis Auriault
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-05
Homogenization Of Coupled Phenomena In Heterogenous Media written by Jean-Louis Auriault and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-05 with Technology & Engineering categories.
Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the media. Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions. This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation. The book is divided into four parts whose main topics are Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials. Heat and mass transfers in porous media Newtonian fluid flow in rigid porous media under different regimes Quasi-statics and dynamics of saturated deformable porous media Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.
Thermal Flows In Porous Media
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Author : H.I. Ene
language : en
Publisher: Springer
Release Date : 1987-08-31
Thermal Flows In Porous Media written by H.I. Ene and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-31 with Science categories.
Thermal flow in porous media is important in a wide range of areas, including oil recovery, geothermal development, the chemical and nuclear industries, civil engineering, energy storage and energy conversion. This monograph uses a systematic, rigorous and unified treatment to provide a general understanding of the phenomena involved. General equations for single- or multiphase flow (including an arbitrary number of components inside each phase), diffusion and chemical reactions are presented. The boundary conditions which may be imposed, the non-dimensional parameters, the structure of the solutions, the stability of finite amplitude solutions and many other related topics are also studied. Although the treatment is basically mathematical, specific physical problems are also dealt with. There are two major fields of application: natural convection and underground combustion. Both are discussed in detail. Various examples with exact or numerical solutions in the case of bounded or unbounded domains are presented, accompanied by extensive comment.
Macroscale Models Of Flow Through Highly Heterogeneous Porous Media
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Author : M. Panfilov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Macroscale Models Of Flow Through Highly Heterogeneous Porous Media written by M. Panfilov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.
The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.
Mathematical Modeling For Flow And Transport Through Porous Media
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Author : Gedeon Dagan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Mathematical Modeling For Flow And Transport Through Porous Media written by Gedeon Dagan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.
Nonstationary Flows Of Viscous Fluids Through Porous Elastic Media
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Author : W. Bielski
language : en
Publisher:
Release Date : 2005
Nonstationary Flows Of Viscous Fluids Through Porous Elastic Media written by W. Bielski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Porous materials categories.
Computation And Applied Mathematics
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Author :
language : en
Publisher:
Release Date : 2004
Computation And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.
Microporomechanics
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Author : Luc Dormieux
language : en
Publisher: John Wiley & Sons
Release Date : 2006-08-14
Microporomechanics written by Luc Dormieux and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-14 with Science categories.
Intended as a first introduction to the micromechanics of porous media, this book entitled “Microporomechanics” deals with the mechanics and physics of multiphase porous materials at nano and micro scales. It is composed of a logical and didactic build up from fundamental concepts to state-of-the-art theories. It features four parts: following a brief introduction to the mathematical rules for upscaling operations, the first part deals with the homogenization of transport properties of porous media within the context of asymptotic expansion techniques. The second part deals with linear microporomechanics, and introduces linear mean-field theories based on the concept of a representative elementary volume for the homogenization of poroelastic properties of porous materials. The third part is devoted to Eshelby’s problem of ellipsoidal inclusions, on which much of the micromechanics techniques are based, and illustrates its application to linear diffusion and microporoelasticity. Finally, the fourth part extends the analysis to microporo-in-elasticity, that is the nonlinear homogenization of a large range of frequently encountered porous material behaviors, namely, strength homogenization, nonsaturated microporomechanics, microporoplasticity and microporofracture and microporodamage theory.
Porous Media
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Author : F. A.L. Dullien
language : en
Publisher: Academic Press
Release Date : 2012-12-02
Porous Media written by F. A.L. Dullien and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
This book examines the relationship between transport properties and pore structure of porous material. Models of pore structure are presented with a discussion of how such models can be used to predict the transport properties of porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. Practical applications are given where applicable, and are expected to be useful for a large number of different fields, including reservoir engineering, geology, hydrogeology, soil science, chemical process engineering, biomedical engineering, fuel technology, hydrometallurgy, nuclear reactor technology, and materials science. Presents mechanisms of immiscible and miscible displacement (hydrodynamic dispersion) process in porous media Examines relationships between pore structure and fluid transport Considers approaches to enhanced oil recovery Explores network modeling and perolation theory
Filtration In Porous Media And Industrial Application
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Author : M.S. Espedal
language : en
Publisher: Springer
Release Date : 2007-05-06
Filtration In Porous Media And Industrial Application written by M.S. Espedal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Science categories.
This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.