The Mathematics Of Fluid Flow Through Porous Media

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Fluid Flow In Porous Media: Fundamentals And Applications

Author : Liang Xue
Publisher : World Scientific
ISBN 13 : 9811219540
Total Pages : 408 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Fluid Flow In Porous Media: Fundamentals And Applications by : Liang Xue

Download or read book Fluid Flow In Porous Media: Fundamentals And Applications written by Liang Xue and published by World Scientific. This book was released on 2020-09-24 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processes of flow and displacement of multiphase fluids through porous media occur in many subsurface systems and have found wide applications in many scientific, technical, and engineering fields. This book focuses on the fundamental theory of fluid flow in porous media, covering fluid flow theory in classical and complex porous media, such as fractured porous media and physicochemical fluid flow theory. Key concepts are introduced concisely and derivations of equations are presented logically. Solutions of some practical problems are given so that the reader can understand how to apply these abstract equations to real world situations. The content has been extended to cover fluid flow in unconventional reservoirs. This book is suitable for senior undergraduate and graduate students as a textbook in petroleum engineering, hydrogeology, groundwater hydrology, soil sciences, and other related engineering fields.

The Mathematics of Fluid Flow Through Porous Media

Author : Myron B. Allen, III
Publisher : John Wiley & Sons
ISBN 13 : 1119663873
Total Pages : 226 pages
Book Rating : 4.1/5 (196 download)

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Book Synopsis The Mathematics of Fluid Flow Through Porous Media by : Myron B. Allen, III

Download or read book The Mathematics of Fluid Flow Through Porous Media written by Myron B. Allen, III and published by John Wiley & Sons. This book was released on 2021-06-08 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the techniques necessary to build and use computational models of porous media fluid flow In The Mathematics of Fluid Flow Through Porous Media, distinguished professor and mathematician Dr. Myron B. Allen delivers a one-stop and mathematically rigorous source of the foundational principles of porous medium flow modeling. The book shows readers how to design intelligent computation models for groundwater flow, contaminant transport, and petroleum reservoir simulation. Discussions of the mathematical fundamentals allow readers to prepare to work on computational problems at the frontiers of the field. Introducing several advanced techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, The Mathematics of Fluid Flow Through Porous Media is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. Teaching mastery of a subject that has increasingly become a standard tool for engineers and applied mathematicians, and containing 75 exercises suitable for self-study or as part of a formal course, the book also includes: A thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships An exploration of single-fluid flows in porous media, including Darcy’s Law, non-Darcy flows, the single-phase flow equation, areal flows, and flows with wells Practical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption A treatment of multiphase flows, including capillarity at the micro- and macroscale Perfect for graduate students in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, The Mathematics of Fluid Flow Through Porous Media also belongs on the bookshelves of any researcher who wishes to extend their research into areas involving flows in porous media.

Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference

Author : Alain P Bourgeat
Publisher : World Scientific
ISBN 13 : 9814548391
Total Pages : 534 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference by : Alain P Bourgeat

Download or read book Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference written by Alain P Bourgeat and published by World Scientific. This book was released on 1995-11-30 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.

Dynamics of Fluids in Porous Media

Author : Jacob Bear
Publisher :
ISBN 13 :
Total Pages : 414 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Dynamics of Fluids in Porous Media by : Jacob Bear

Download or read book Dynamics of Fluids in Porous Media written by Jacob Bear and published by . This book was released on 1972 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Porous Media

Author : Wolfgang Ehlers
Publisher : Springer Science & Business Media
ISBN 13 : 3662049996
Total Pages : 459 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Porous Media by : Wolfgang Ehlers

Download or read book Porous Media written by Wolfgang Ehlers and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Transport Phenomena in Porous Media III

Author : Derek B Ingham
Publisher : Elsevier
ISBN 13 : 9780080543185
Total Pages : 450 pages
Book Rating : 4.5/5 (431 download)

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Book Synopsis Transport Phenomena in Porous Media III by : Derek B Ingham

Download or read book Transport Phenomena in Porous Media III written by Derek B Ingham and published by Elsevier. This book was released on 2005-07-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid and flow problems in porous media have attracted the attention of industrialists, engineers and scientists from varying disciplines, such as chemical, environmental, and mechanical engineering, geothermal physics and food science. There has been a increasing interest in heat and fluid flows through porous media, making this book a timely and appropriate resource. Each chapter is systematically detailed to be easily grasped by a research worker with basic knowledge of fluid mechanics, heat transfer and computational and experimental methods. At the same time, the readers will be informed of the most recent research literature in the field, giving it dual usage as both a post-grad text book and professional reference. Written by the recent directors of the NATO Advanced Study Institute session on 'Emerging Technologies and Techniques in Porous Media' (June 2003), this book is a timely and essential reference for scientists and engineers within a variety of fields.

The Physics of Flow Through Porous Media

Author : Adrian E. Scheidegger
Publisher :
ISBN 13 :
Total Pages : 382 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Physics of Flow Through Porous Media by : Adrian E. Scheidegger

Download or read book The Physics of Flow Through Porous Media written by Adrian E. Scheidegger and published by . This book was released on 1974 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fluid Flow and Transport in Porous Media, Mathematical and Numerical Treatment

Author : Zhangxin Chen
Publisher : American Mathematical Soc.
ISBN 13 : 082182807X
Total Pages : 538 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fluid Flow and Transport in Porous Media, Mathematical and Numerical Treatment by : Zhangxin Chen

Download or read book Fluid Flow and Transport in Porous Media, Mathematical and Numerical Treatment written by Zhangxin Chen and published by American Mathematical Soc.. This book was released on 2002 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The June 2001 conference brought together mathematicians, computational scientists, and engineers working on the mathematical and numerical treatment of fluid flow and transport in porous media. This collection of 43 papers from that conference reports on recent advances in network flow modeling, parallel computation, optimization, upscaling, uncertainty reduction, media characterization, and chemically reactive phenomena. Topics include modeling horizontal wells using hybrid grids in reservoir simulation, a high order Lagrangian scheme for flow through unsaturated porous media, and a streamline front tracking method for two- and three- phase flow. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

Routes to Absolute Instability in Porous Media

Author : Antonio Barletta
Publisher : Springer
ISBN 13 : 3030061949
Total Pages : 283 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Routes to Absolute Instability in Porous Media by : Antonio Barletta

Download or read book Routes to Absolute Instability in Porous Media written by Antonio Barletta and published by Springer. This book was released on 2019-01-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the concepts of unstable flow solutions, convective instability and absolute instability, with reference to simple (or toy) mathematical models, which are mathematically simple despite their purely abstract character. Within this paradigm, the book introduces the basic mathematical tools, Fourier transform, normal modes, wavepackets and their dynamics, before reviewing the fundamental ideas behind the mathematical modelling of fluid flow and heat transfer in porous media. The author goes on to discuss the fundamentals of the Rayleigh-Bénard instability and other thermal instabilities of convective flows in porous media, and then analyses various examples of transition from convective to absolute instability in detail, with an emphasis on the formulation, deduction of the dispersion relation and study of the numerical data regarding the threshold of absolute instability. The clear descriptions of the analytical and numerical methods needed to obtain these parametric threshold data enable readers to apply them in different or more general cases. This book is of interest to postgraduates and researchers in mechanical and thermal engineering, civil engineering, geophysics, applied mathematics, fluid mechanics, and energy technology.

Transport Phenomena in Porous Media II

Author : I. Pop
Publisher : Elsevier
ISBN 13 : 9780080543178
Total Pages : 468 pages
Book Rating : 4.5/5 (431 download)

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Book Synopsis Transport Phenomena in Porous Media II by : I. Pop

Download or read book Transport Phenomena in Porous Media II written by I. Pop and published by Elsevier. This book was released on 2002-06-20 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence. Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.

Dynamics of Fluids in Porous Media

Author : Jacob Bear
Publisher : Courier Corporation
ISBN 13 : 0486131807
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Dynamics of Fluids in Porous Media by : Jacob Bear

Download or read book Dynamics of Fluids in Porous Media written by Jacob Bear and published by Courier Corporation. This book was released on 2013-02-26 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work by one of the world's foremost hydrologists presents a topic encountered in the many fields of science and engineering where flow through porous media plays a fundamental role. It is the standard work in the field, designed primarily for advanced undergraduate and graduate students of ground water hydrology, soil mechanics, soil physics, drainage and irrigation engineering, and petroleum and chemical engineering. It is highly recommended as well for scientists and engineers already working in these fields. Throughout this generously illustrated, richly detailed study, which includes a valuable section of exercises and answers, the emphasis is on understanding the phenomena occurring in porous media and on their macroscopic description. The book's chapter titles reveal its comprehensive coverage: Introduction, Fluids and Porous Matrix Properties, Pressures and Piezometric Head, The Fundamental Fluid Transport Equations in Porous Media, The Equation of Motion of a Homogeneous Fluid, Continuity and Conservation Equations for a Homogeneous Fluid, Solving Boundary and Initial Value Problems, Unconfined Flow and the Dupuit Approximation, Flow of Immiscible Fluids, Hydrodynamic Dispersion, and Models and Analogs. "Systematic and comprehensive . . . a book that satisfies the highest standards of excellence. . . . Will undoubtedly become the standard reference in this field." — R. Allen Freeze, IBM Thomas J. Watson Research Center, Water Resources Research.

Multiphase Flow in Porous Media

Author : Myron B. Allen
Publisher : Springer
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Multiphase Flow in Porous Media by : Myron B. Allen

Download or read book Multiphase Flow in Porous Media written by Myron B. Allen and published by Springer. This book was released on 1988 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen remarkable growth in research related to petroleum reseIVoir simulation. This growth reflects several developments, not the least of which is the increased interest in oil recovery technologies requiring sophisticated engineer ing. Augmenting this interest has been the broader availability of supercomputers capable of handling the tremendous computational demands of a typical reseIVoir simulator. The field of reseIVoir simulation incorporates several major facets of applied mathematics. First, in view of the varieyt and complexity of the processes encoun tered, it is imperative that the modeler adopt a systematic approach to establishing the equations governing reseIVoir flows. Second, the mathematical structure of these flow equations needs to be carefully analyzed in order to develop appropriate and efficient numerical methods for their solution. Third, since some aspects of the discretized flow equations are typically stiff, one must develop efficient schemes for solving large sparse systems of linear equations. This monograph has three parts, each devoted to one of these three aspects of reseIVoir modeling. The text grew out of a set of lectures presented by the authors in the autumn of 1986 at the IBM Scientific Center in Bergen, Norway. We feel that it is only appropriate to caution the reader that many of the ideas that we present in this monograph do not reflect standard approaches in petroleum reseIVoir simulation. In fact, our aim is to outline promising new ways of attacking reseIVoir simulation prob lems, rather than to compile another textbook for the mainstream."

The Flow of Homogenous Fluids Through Porous Media

Author : Morris Muskat
Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Flow of Homogenous Fluids Through Porous Media by : Morris Muskat

Download or read book The Flow of Homogenous Fluids Through Porous Media written by Morris Muskat and published by . This book was released on 1946 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiphase Flow in Porous Media

Author : Myron B. III Allen
Publisher : Springer Science & Business Media
ISBN 13 : 1461395984
Total Pages : 312 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Multiphase Flow in Porous Media by : Myron B. III Allen

Download or read book Multiphase Flow in Porous Media written by Myron B. III Allen and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The past decade has seen remarkable growth in research related to petroleum reseIVoir simulation. This growth reflects several developments, not the least of which is the increased interest in oil recovery technologies requiring sophisticated engineer ing. Augmenting this interest has been the broader availability of supercomputers capable of handling the tremendous computational demands of a typical reseIVoir simulator. The field of reseIVoir simulation incorporates several major facets of applied mathematics. First, in view of the varieyt and complexity of the processes encoun tered, it is imperative that the modeler adopt a systematic approach to establishing the equations governing reseIVoir flows. Second, the mathematical structure of these flow equations needs to be carefully analyzed in order to develop appropriate and efficient numerical methods for their solution. Third, since some aspects of the discretized flow equations are typically stiff, one must develop efficient schemes for solving large sparse systems of linear equations. This monograph has three parts, each devoted to one of these three aspects of reseIVoir modeling. The text grew out of a set of lectures presented by the authors in the autumn of 1986 at the IBM Scientific Center in Bergen, Norway. We feel that it is only appropriate to caution the reader that many of the ideas that we present in this monograph do not reflect standard approaches in petroleum reseIVoir simulation. In fact, our aim is to outline promising new ways of attacking reseIVoir simulation prob lems, rather than to compile another textbook for the mainstream.

Computational Methods for Multiphase Flows in Porous Media

Author : Zhangxin Chen
Publisher : SIAM
ISBN 13 : 0898716063
Total Pages : 551 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Multiphase Flows in Porous Media by : Zhangxin Chen

Download or read book Computational Methods for Multiphase Flows in Porous Media written by Zhangxin Chen and published by SIAM. This book was released on 2006-04-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

Porous Fluids

Author : Vallampati Ramachandra Prasad
Publisher : BoD – Books on Demand
ISBN 13 : 1839627115
Total Pages : 134 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Porous Fluids by : Vallampati Ramachandra Prasad

Download or read book Porous Fluids written by Vallampati Ramachandra Prasad and published by BoD – Books on Demand. This book was released on 2021-08-18 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by authoritative experts in the field, this book discusses fluid flow and transport phenomena in porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. It is a useful reference for applied mathematicians and engineers, especially those working in the area of porous media.

The Porous Medium Equation

Author : Juan Luis Vazquez
Publisher : Oxford University Press on Demand
ISBN 13 : 0198569033
Total Pages : 647 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis The Porous Medium Equation by : Juan Luis Vazquez

Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Oxford University Press on Demand. This book was released on 2007 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.