Mathematical Modeling For Flow And Transport Through Porous Media

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Mathematical Modeling for Flow and Transport Through Porous Media

Author : Gedeon Dagan
Publisher : Springer Science & Business Media
ISBN 13 : 9401721998
Total Pages : 293 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Mathematical Modeling for Flow and Transport Through Porous Media by : Gedeon Dagan

Download or read book Mathematical Modeling for Flow and Transport Through Porous Media written by Gedeon Dagan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modeling Groundwater Flow and Contaminant Transport

Author : Jacob Bear
Publisher : Springer Science & Business Media
ISBN 13 : 1402066821
Total Pages : 851 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Modeling Groundwater Flow and Contaminant Transport by : Jacob Bear

Download or read book Modeling Groundwater Flow and Contaminant Transport written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2010-01-18 with total page 851 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many parts of the world, groundwater resources are under increasing threat from growing demands, wasteful use, and contamination. To face the challenge, good planning and management practices are needed. A key to the management of groundwater is the ability to model the movement of fluids and contaminants in the subsurface. The purpose of this book is to construct conceptual and mathematical models that can provide the information required for making decisions associated with the management of groundwater resources, and the remediation of contaminated aquifers. The basic approach of this book is to accurately describe the underlying physics of groundwater flow and solute transport in heterogeneous porous media, starting at the microscopic level, and to rigorously derive their mathematical representation at the macroscopic levels. The well-posed, macroscopic mathematical models are formulated for saturated, single phase flow, as well as for unsaturated and multiphase flow, and for the transport of single and multiple chemical species. Numerical models are presented and computer codes are reviewed, as tools for solving the models. The problem of seawater intrusion into coastal aquifers is examined and modeled. The issues of uncertainty in model input data and output are addressed. The book concludes with a chapter on the management of groundwater resources. Although one of the main objectives of this book is to construct mathematical models, the amount of mathematics required is kept minimal.

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.

Mathematical and Numerical Modeling in Porous Media

Author : Martin A. Diaz Viera
Publisher : CRC Press
ISBN 13 : 0203113888
Total Pages : 370 pages
Book Rating : 4.2/5 (31 download)

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Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera

Modeling Phenomena of Flow and Transport in Porous Media

Author : Jacob Bear
Publisher : Springer
ISBN 13 : 3319728261
Total Pages : 742 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modeling Phenomena of Flow and Transport in Porous Media by : Jacob Bear

Download or read book Modeling Phenomena of Flow and Transport in Porous Media written by Jacob Bear and published by Springer. This book was released on 2018-01-25 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical and Numerical Modeling in Porous Media

Author : Martin A. Diaz Viera
Publisher : CRC Press
ISBN 13 : 041566537X
Total Pages : 372 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera

Download or read book Mathematical and Numerical Modeling in Porous Media written by Martin A. Diaz Viera and published by CRC Press. This book was released on 2012-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.

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.

Modeling Density-Driven Flow in Porous Media

Author : Ekkehard O. Holzbecher
Publisher : Springer Science & Business Media
ISBN 13 : 3642587674
Total Pages : 286 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Modeling Density-Driven Flow in Porous Media by : Ekkehard O. Holzbecher

Download or read book Modeling Density-Driven Flow in Porous Media written by Ekkehard O. Holzbecher and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of flow and transport in groundwater has become an important focus of scientific research in recent years. Most contributions to this subject deal with flow situations, where density and viscosity changes in the fluid are neglected. This restriction may not always be justified. The models presented in the book demonstrate immpressingly that the flow pattern may be completely different when density changes are taken into account. The main applications of the models are: thermal and saline convection, geothermal flow, saltwater intrusion, flow through salt formations etc. This book not only presents basic theory, but the reader can also test his knowledge by applying the included software and can set up own models.

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.

Modelling and Applications of Transport Phenomena in Porous Media

Author : Jacob Bear
Publisher : Springer Science & Business Media
ISBN 13 : 9401126321
Total Pages : 394 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Modelling and Applications of Transport Phenomena in Porous Media by : Jacob Bear

Download or read book Modelling and Applications of Transport Phenomena in Porous Media written by Jacob Bear and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport phenomenain porous media are encounteredin various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricul tural engineering and soil science. In these disciplines, problems are en countered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often, the void space of the porous material contains two or three fluid phases, and the various ex tensive quantities are transported simultaneously through the multiphase system. In all these disciplines, decisions related to a system's development and its operation have to be made. To do so a tool is needed that will pro vide a forecast of the system's response to the implementation of proposed decisions. This response is expressed in the form of spatial and temporal distributions of the state variables that describe the system's behavior. Ex amples of such state variables are pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, The tool that enables the required predictions is the model. A model may be defined as a simplified version of the real porous medium system and the transport phenomena that occur in it. Because the model is a sim plified version of the real system, no unique model exists for a given porous medium system. Different sets of simplifying assumptions, each suitable for a particular task, will result in different models.

FEFLOW

Author : Hans-Jörg G. Diersch
Publisher : Springer Science & Business Media
ISBN 13 : 364238739X
Total Pages : 996 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis FEFLOW by : Hans-Jörg G. Diersch

Download or read book FEFLOW written by Hans-Jörg G. Diersch and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 996 pages. Available in PDF, EPUB and Kindle. Book excerpt: FEFLOW is an acronym of Finite Element subsurface FLOW simulation system and solves the governing flow, mass and heat transport equations in porous and fractured media by a multidimensional finite element method for complex geometric and parametric situations including variable fluid density, variable saturation, free surface(s), multispecies reaction kinetics, non-isothermal flow and multidiffusive effects. FEFLOW comprises theoretical work, modeling experiences and simulation practice from a period of about 40 years. In this light, the main objective of the present book is to share this achieved level of modeling with all required details of the physical and numerical background with the reader. The book is intended to put advanced theoretical and numerical methods into the hands of modeling practitioners and scientists. It starts with a more general theory for all relevant flow and transport phenomena on the basis of the continuum approach, systematically develops the basic framework for important classes of problems (e.g., multiphase/multispecies non-isothermal flow and transport phenomena, discrete features, aquifer-averaged equations, geothermal processes), introduces finite-element techniques for solving the basic balance equations, in detail discusses advanced numerical algorithms for the resulting nonlinear and linear problems and completes with a number of benchmarks, applications and exercises to illustrate the different types of problems and ways to tackle them successfully (e.g., flow and seepage problems, unsaturated-saturated flow, advective-diffusion transport, saltwater intrusion, geothermal and thermohaline flow).

Transport Processes in Porous Media

Author : Frank A. Coutelieris
Publisher : Springer Science & Business Media
ISBN 13 : 3642279104
Total Pages : 236 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Transport Processes in Porous Media by : Frank A. Coutelieris

Download or read book Transport Processes in Porous Media written by Frank A. Coutelieris and published by Springer Science & Business Media. This book was released on 2012-01-25 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is to study the porous media and the transport processes occur there. As a first step, the authors discuss several techniques for artificial representation of porous. Afterwards, they describe the single and multi phase flows in simplistic and complex porous structures in terms of macroscopic and microscopic equations as well as of their analytical and numerical solutions. Furthermore, macroscopic quantities such as permeability are introduced and reviewed. The book also discusses with mass transport processes in the porous media which are further strengthen by experimental validation and specific technological applications. This book makes use of state-of-the-art techniques for the modeling of transport processes in porous structures, and considers of realistic sorption mechanisms. It the applies advanced mathematical techniques for upscaling of the major quantities, and presents the experimental investigation and application, namely, experimental methods for the measurement of relevant transport properties. The main benefit of the book is that it discusses all the topics related to transport in porous media (including state-of-the-art applications) and presents some of the most important theoretical, numerical and experimental developments in porous media domain, providing a self-contained major reference that is appealing to both the scientists and the engineers. At the same time, these topics encounter a variety of scientific and engineering disciplines, such as chemical, civil, agricultural, mechanical engineering. The book is divided in several chapters that intend to be a resume of the current state of knowledge for benefit of related professionals and scientists.

Macroscale Models of Flow Through Highly Heterogeneous Porous Media

Author : M. Panfilov
Publisher : Springer Science & Business Media
ISBN 13 : 9401595828
Total Pages : 384 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Macroscale Models of Flow Through Highly Heterogeneous Porous Media by : M. Panfilov

Download or read book Macroscale Models of Flow Through Highly Heterogeneous Porous Media written by M. Panfilov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Modelling of Flow Through Porous Media

Author : Alain P. Bourgeat
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810224837
Total Pages : 0 pages
Book Rating : 4.2/5 (248 download)

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Book Synopsis Mathematical Modelling of Flow Through Porous Media by : Alain P. Bourgeat

Download or read book Mathematical Modelling of Flow Through Porous Media written by Alain P. Bourgeat and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 0 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.

Flow and Transport in Fractured Porous Media

Author : Peter Dietrich
Publisher : Springer Science & Business Media
ISBN 13 : 3540270124
Total Pages : 447 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Flow and Transport in Fractured Porous Media by : Peter Dietrich

Download or read book Flow and Transport in Fractured Porous Media written by Peter Dietrich and published by Springer Science & Business Media. This book was released on 2005-12-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the characterization of flow and transport in porous fractured media from experimental and modeling perspectives. It provides a comprehensive presentation of investigations performed and analyzed on different scales.

Mathematical Modelling of Flow Through Porous Media

Author :
Publisher :
ISBN 13 : 9789814531955
Total Pages : pages
Book Rating : 4.5/5 (319 download)

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Book Synopsis Mathematical Modelling of Flow Through Porous Media by :

Download or read book Mathematical Modelling of Flow Through Porous Media written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Advances in Problems of Flow and Transport in Porous Media

Author : J.M. Crolet
Publisher : Springer Science & Business Media
ISBN 13 : 9401728569
Total Pages : 250 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Recent Advances in Problems of Flow and Transport in Porous Media by : J.M. Crolet

Download or read book Recent Advances in Problems of Flow and Transport in Porous Media written by J.M. Crolet and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Porous media, and especially phenomena of transport in such materials, are an impor1ant field of interest for geologists, hydrogeologists, researchers in soil and fluid mechanics, petroleum and chemical engineers, physicists and scientists in many other disciplines. The development of better numerical simulation techniques in combination with the enormous expansion of computer tools, have enabled numerical simulation of transport phenomena (mass of phases and components, energy etc. ) in porous domains of interest. Before any practical application of the results of such simulations can be used, it is essential that the simulation models have been proven to be valid. In order to establish the greatest possible coherence between the models and the physical reality, frequent interaction between numericians, mathematicians and the previously quoted researchers, is necessary. Once this coherence is established, the numerical simulations could be used to predict various phenomena such as water management, propagation of pollutants etc. These simulations could be, in many cases, the only financially acceptable tool to carry out an investigation. Current studies within various fields of applications include not only physical comprehension aspects of flow and energy or solute transport in saturated or unsaturated media but also numerical aspects in deriving strong complex equations. Among the various fields of applications generally two types of problems can be observed. Those associated with the pollution of the environment and those linked to water management. The former are essentially a problem in industrialized countries, the latter are a major source of concern in North-Africa.