Numerical Simulation Of Miscible Fluid Flows In Porous Media

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Numerical Simulation of Miscible Fluid Flows in Porous Media

Author : Mohammad Jalal Ahammad
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Numerical Simulation of Miscible Fluid Flows in Porous Media by : Mohammad Jalal Ahammad

Download or read book Numerical Simulation of Miscible Fluid Flows in Porous Media written by Mohammad Jalal Ahammad and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of miscible ow in porous media is an important topic in many disciplines of science and engineering, especially in the field of petroleum engineering. For example, Carbon dioxide (CO2) may be injected into an oil reservoir in order to improve the oil recovery rates, which is called enhanced oil recovery (EOR). This thesis focuses on the study of a miscible displacement of two fluids, such as CO2 and oil, in a porous medium. An upscaling methodology for modeling multiscale features of the ow and the porous medium has been studied, where the overall pressure drag and skin friction exerted on the porous medium has been modelled by combining the Darcy's law with a statistical mechanical theory of viscosity, which is an important contribution of this thesis. A numerical methodology for capturing the multiphysics and multiscale nature of the governing motion has been studied. The temporal discretization employs the second order Crank-Nicolson scheme for viscous and diffusive phenomena, and an explicit method for all other terms. The nonlinear advection terms in the momentum equation has been treated with an Euler explicit flux form central finite difference method; however, the advection of the CO2 mass flux has been treated with a streamline based Lagrangian method. In order to implement the Marker-and-Cell (MAC) scheme for resolving the incompressibility, a staggered arrangement of the velocity and pressure has been presented on a collocated grid. This approach enhances the implementation of a multigrid solver, and is a novel computational model for simulating miscible displacement processes. The performance of the Lagrangian method has been assessed with respect to an equivalent flux form upwind method. The results indicate that the viscous forces play a signicant role compared to the effect of permeability on miscible displacement of CO2 and oil, where the injected CO2 displaces the residual oil without being distorted, thereby enhancing the recovery of hydrocarbon. Although the present results with an idealized model lacks from verifications with field measurements, findings of this thesis provide useful feedback to further investigations on CO2 based EOR techniques.

Numerical Treatment of Multiphase Flows in Porous Media

Author : Zhangxin Chen
Publisher : Springer
ISBN 13 : 3540454675
Total Pages : 467 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Numerical Treatment of Multiphase Flows in Porous Media by : Zhangxin Chen

Download or read book Numerical Treatment of Multiphase Flows in Porous Media written by Zhangxin Chen and published by Springer. This book was released on 2008-01-11 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to predict, understand, and optimize complex physical and c- mical processes occurring in and around the earth, such as groundwater c- tamination, oil reservoir production, discovering new oil reserves, and ocean hydrodynamics, has been increasingly recognized. Despite their seemingly disparate natures, these geoscience problems have many common mathe- tical and computational characteristics. The techniques used to describe and study them are applicable across a broad range of areas. The study of the above problems through physical experiments, mat- matical theory, and computational techniques requires interdisciplinary col- boration between engineers, mathematicians, computational scientists, and other researchers working in industry, government laboratories, and univ- sities. By bringing together such researchers, meaningful progress can be made in predicting, understanding, and optimizing physical and chemical processes. The International Workshop on Fluid Flow and Transport in Porous - dia was successfully held in Beijing, China, August 2{6, 1999. The aim of this workshop was to bring together applied mathematicians, computational scientists, and engineers working actively in the mathematical and nume- cal treatment of ?uid ?ow and transport in porous media. A broad range of researchers presented papers and discussed both problems and current, state-of-the-art techniques.

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 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.

The Mathematics of Fluid Flow Through Porous Media

Author : Myron B. Allen, III
Publisher : John Wiley & Sons
ISBN 13 : 1119663849
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 2021-06-22 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.

Numerical Simulation in Oil Recovery

Author : Mary Fanett Wheeler
Publisher : Springer
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Numerical Simulation in Oil Recovery by : Mary Fanett Wheeler

Download or read book Numerical Simulation in Oil Recovery written by Mary Fanett Wheeler and published by Springer. This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers of this book are based on a Symposium on Numerical Simulation in Oil Recovery held at the Institute for Mathematics and its Applications. The major research emphasis is on the modeling of fractures, heterogeneities, viscous fingering, and diffusion-dispersion effects in the flow in porous media. This volume contains seventeen comprehensive papers on the latest developments in this exciting subject. Its diverse presentation brings together the various disciplines of applied mathematics, chemical engineering, physics and hydrology.

Computational Methods for Multiphase Flows in Porous Media

Author : Zhangxin Chen
Publisher : SIAM
ISBN 13 : 9780898718942
Total Pages : 556 pages
Book Rating : 4.7/5 (189 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 2006-01-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Multiphase Flows in Porous Media offers a fundamental and practical introduction to the use of computational methods, particularly finite element methods, in the simulation of fluid flows in porous media. It is the first book to cover a wide variety of flows, including single-phase, two-phase, black oil, volatile, compositional, nonisothermal, and chemical compositional flows in both ordinary porous and fractured porous media. In addition, a range of computational methods are used, and benchmark problems of nine comparative solution projects organized by the Society of Petroleum Engineers are presented for the first time in book form. The book reviews multiphase flow equations and computational methods to introduce basic terminologies and notation. A thorough discussion of practical aspects of the subjects is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Audience: this book can be used as a textbook for graduate or advanced undergraduate students in geology, petroleum engineering, and applied mathematics; as a reference book for professionals in these fields, as well as scientists working in the area of petroleum reservoir simulation; as a handbook for employees in the oil industry who need a basic understanding of modeling and computational method concepts; and by researchers in hydrology, environmental remediation, and some areas of biological tissue modeling. Calculus, physics, and some acquaintance with partial differential equations and simple matrix algebra are necessary prerequisites.

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

Author : Zhangxin Chen
Publisher : American Mathematical Soc.
ISBN 13 : 9780821856314
Total Pages : 540 pages
Book Rating : 4.8/5 (563 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 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research papers written and edited by prominent researchers working with the mathematical and numerical treatment of fluid flow and transport in porous media. Papers are based on talks given at a 2001 Joint AMS-IMS-SIAM Summer Research Conference held at Mount Holyoke College (South Hadley, MA). Topics cover a variety of subjects such as network flow modeling, contemporary numerical methods, parallel computation, optimization, multiscale phenomena, upscaling,uncertainty reduction, well treatment, and media characterization. The material addresses many problems originating from the applied geosciences and focuses on their common state-of-the-art mathematical and numerical treatment. This work is particularly pertinent to those working in oil exploration andother industrial applications. The book serves as an excellent reference work for all geoscientists, mathematicians, physicists, and engineers working in this research area

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.

The Mathematics of Reservoir Simulation

Author : Richard E. Ewing
Publisher : SIAM
ISBN 13 : 0898716624
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis The Mathematics of Reservoir Simulation by : Richard E. Ewing

Download or read book The Mathematics of Reservoir Simulation written by Richard E. Ewing and published by SIAM. This book was released on 2014-12-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.

Modeling Transport Phenomena in Porous Media with Applications

Author : Malay K. Das
Publisher : Springer
ISBN 13 : 3319698664
Total Pages : 250 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Modeling Transport Phenomena in Porous Media with Applications by : Malay K. Das

Download or read book Modeling Transport Phenomena in Porous Media with Applications written by Malay K. Das and published by Springer. This book was released on 2017-11-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Mathematical Models and Finite Elements for Reservoir Simulation

Author : G. Chavent
Publisher : Elsevier
ISBN 13 : 0080875386
Total Pages : 389 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Mathematical Models and Finite Elements for Reservoir Simulation by : G. Chavent

Download or read book Mathematical Models and Finite Elements for Reservoir Simulation written by G. Chavent and published by Elsevier. This book was released on 1986-01-01 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.

Numerical Simulation of Immiscible Flow in Porous Media Based on Combining the Method of Characteristics with Mixed Finite Element Procedures

Download Numerical Simulation of Immiscible Flow in Porous Media Based on Combining the Method of Characteristics with Mixed Finite Element Procedures PDF Online Free

Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Numerical Simulation of Immiscible Flow in Porous Media Based on Combining the Method of Characteristics with Mixed Finite Element Procedures by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Numerical Simulation of Immiscible Flow in Porous Media Based on Combining the Method of Characteristics with Mixed Finite Element Procedures written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1987 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Simulation of Two-phase Flow and Dispersion in Saturated-unsaturated Porous Media

Author : Raziuddin Khaleel
Publisher :
ISBN 13 :
Total Pages : 540 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Simulation of Two-phase Flow and Dispersion in Saturated-unsaturated Porous Media by : Raziuddin Khaleel

Download or read book Numerical Simulation of Two-phase Flow and Dispersion in Saturated-unsaturated Porous Media written by Raziuddin Khaleel and published by . This book was released on 1977 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Lattice Boltzmann Method

Author : Timm Krüger
Publisher : Springer
ISBN 13 : 3319446495
Total Pages : 705 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Lattice Boltzmann Method by : Timm Krüger

Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.