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Mathematical Modeling For Flow And Transport Through Porous Media

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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.

Modeling Groundwater Flow And Contaminant Transport

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Author : Jacob Bear
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-18

Modeling Groundwater Flow And Contaminant Transport written by Jacob Bear 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 2010-01-18 with Science categories.

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.

Modelling And Applications Of Transport Phenomena In Porous Media

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Author : Jacob Bear
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-11-30

Modelling And Applications Of Transport Phenomena In Porous Media written by Jacob Bear 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 1991-11-30 with Science categories.

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.

Mathematical Modelling Of Flow Through Porous Media

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Author : Alain P. Bourgeat
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1995

Mathematical Modelling Of Flow Through Porous Media written by Alain P. Bourgeat and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Absorption categories.

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.

Transport Phenomena In Porous Media Iii

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Author : Derek B Ingham
language : en
Publisher: Elsevier
Release Date : 2005-07-29

Transport Phenomena In Porous Media Iii written by Derek B Ingham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-29 with Science categories.

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.

International Workshop On Mathematical Modeling For Flow And Transport Through Porous Media

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Author : Gedeon Dagan
language : en
Publisher:
Release Date : 1991

International Workshop On Mathematical Modeling For Flow And Transport Through Porous Media written by Gedeon Dagan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.

Modeling Transport Phenomena In Porous Media With Applications

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Author : Malay K. Das
language : en
Publisher: Springer
Release Date : 2017-11-21

Modeling Transport Phenomena In Porous Media With Applications written by Malay K. Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Technology & Engineering categories.

This book is an ensemble of six major chapters, an introduction, and a closure on modeling transport phenomena in porous media with applications. Two of the six chapters explain the underlying theories, whereas the rest focus on new applications. Porous media transport is essentially a multi-scale process. Accordingly, the related theory described in the second and third chapters covers both continuum‐ and meso‐scale phenomena. Examining the continuum formulation imparts rigor to the empirical porous media models, while the mesoscopic model focuses on the physical processes within the pores. Porous media models are discussed in the context of a few important engineering applications. These include biomedical problems, gas hydrate reservoirs, regenerators, and fuel cells. The discussion reveals the strengths and weaknesses of existing models as well as future research directions.

Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference

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Author : Alain P Bourgeat
language : en
Publisher: World Scientific
Release Date : 1995-11-30

Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference written by Alain P Bourgeat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-30 with categories.

Introduction To Modeling Of Transport Phenomena In Porous Media

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Author : Jacob Bear
language : en
Publisher: Springer Science & Business Media
Release Date : 1990-03-31

Introduction To Modeling Of Transport Phenomena In Porous Media written by Jacob Bear 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 1990-03-31 with Science categories.

The main purpose of this book is to provide the theoretical background to engineers and scientists engaged in modeling transport phenomena in porous media, in connection with various engineering projects, and to serve as a text for senior and graduate courses on transport phenomena in porous media. Such courses are taught in various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricultural engineering and soil science. In these disciplines, problems are encountered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often the porous material contains several fluid phases, and the various extensive quantities are transported simultaneously throughout the multiphase system. In all these disciplines, management decisions related to a system's development and its operation have to be made. To do so, the 'manager', or the planner, needs a tool that will enable him to forecast the response of the system to the implementation of proposed management schemes. This forecast takes the form of spatial and temporal distributions of variables that describe the future state of the considered system. Pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, and sometime for a component of a phase, may serve as examples of state variables. 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 that approximately simulates the excitation-response relations of the latter.

Modeling Density Driven Flow In Porous Media

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Author : Ekkehard O. Holzbecher
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Modeling Density Driven Flow In Porous Media written by Ekkehard O. Holzbecher 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 Science categories.

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.

Mathematical Modeling For Flow And Transport Through Porous Media

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