Download Full eBooks in PDF
Analytical And Numerical Methods For Nonlinear Fluid Flow Problems In Porous Media Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Analytical And Numerical Methods For Nonlinear Fluid Flow Problems In Porous Media book. This book definitely worth reading, it is an incredibly well-written.
Author : Wenchao Liu
Publisher : Springer Nature
Page : 287 pages
File Size : 52,6 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 9789819716357
Author : Myron B. III Allen,Grace A. Behie,John A. Trangenstein
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 51,6 Mb
Release : 2013-03-08
Category : Science
ISBN : 9781461395980
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.
Author : Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
Publisher : American Mathematical Soc.
Page : 538 pages
File Size : 47,8 Mb
Release : 2002
Category : Fluid dynamics
ISBN : 9780821828076
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.
Author : Myron B. Allen, III
Publisher : John Wiley & Sons
Page : 226 pages
File Size : 48,6 Mb
Release : 2021-06-22
Category : Mathematics
ISBN : 9781119663843
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.
Author : Zhangxin Chen,Richard E. Ewing,Zhong-Ci Shi
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 40,7 Mb
Release : 2000-08-15
Category : Science
ISBN : 9783540675662
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.
Author : Alain P Bourgeat,Claude Carasso,Stephan Luckhaus,Andro Mikelic
Publisher : World Scientific
Page : 534 pages
File Size : 54,6 Mb
Release : 1995-11-30
Category : Electronic
ISBN : 9789814548397
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.
Author : Kuppalapalle Vajravelu,Swati Mukhopadhyay
Publisher : Academic Press
Page : 202 pages
File Size : 55,8 Mb
Release : 2015-09-08
Category : Mathematics
ISBN : 9780128037850
Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow, Heat and Mass Transfer at Bodies of Different Shapes: Numerical Solutions presents the current theoretical developments of boundary layer theory, a branch of transport phenomena. Also, the book addresses the theoretical developments in the area and presents a number of physical problems that have been solved by analytical or numerical method. It is focused particularly on fluid flow problems governed by nonlinear differential equations. The book is intended for researchers in applied mathematics, physics, mechanics and engineering. Addresses basic concepts to understand the theoretical framework for the method Provides examples of nonlinear problems that have been solved through the use of numerical method Focuses on fluid flow problems governed by nonlinear equations
Author : Anonim
Publisher : Elsevier
Page : 824 pages
File Size : 46,9 Mb
Release : 2010-12-20
Category : Mathematics
ISBN : 9780080932026
Non-Newtonian flows and their numerical simulations have generated an abundant literature, as well as many publications and references to which can be found in this volume’s articles. This abundance of publications can be explained by the fact that non-Newtonian fluids occur in many real life situations: the food industry, oil & gas industry, chemical, civil and mechanical engineering, the bio-Sciences, to name just a few. Mathematical and numerical analysis of non-Newtonian fluid flow models provide challenging problems to partial differential equations specialists and applied computational mathematicians alike. This volume offers investigations. Results and conclusions that will no doubt be useful to engineers and computational and applied mathematicians who are focused on various aspects of non-Newtonian Fluid Mechanics. New review of well-known computational methods for the simulation viscoelastic and viscoplastic types.; Discusses new numerical methods that have proven to be more efficient and more accurate than traditional methods.; Articles that discuss the numerical simulation of particulate flow for viscoelastic fluids.;
Author : J.M. Crolet
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 42,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9789401711142
The first Symposium on Recent Advances in Problems of Flow and Transport in Porous Media was held in Marrakech in June '96 and has provided a focus for the utilization of computer methods for solving the many complex problems encountered in the field of solute transport in porous media. This symposium has been successful in bringing together scientists, physicists, hydrogeologists, researchers in soil and fluid mechanics and engineers involved in this multidisciplinary subject. It is clear that the utilization of computer-based models in this domain is still rapidly expanding and that new and novel solutions are being developed. The contributed papers which form this book reflect the recent advances, in particular with respect to new methods, inverse problems, reactive transport, unsaturated media and upscaling. These have been subdivided into the following sections: I. Numerical methods II. Mass transport and heat transfer III. Comparison with experimentation and simulation of real cases This book contains reviewed articles of the top presentations held during the International Symposium on Computer Methods in Porous Media Engineering which took place in Giens (France) in October 1998. All of the presentations and the optimism shown during the meeting provided further evidence that computer modeling is making remarkable progress and is indeed becoming an essential toolkit in the field of porous media and solute transport. I believe that the content of this book provides evidence of this and furthermore gives a comprehensive review of the theoretical developments and applications.
Author : Krzysztof Murawski
Publisher : World Scientific
Page : 255 pages
File Size : 42,5 Mb
Release : 2002
Category : Science
ISBN : 9789812381552
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Author : Jan Dirk Jansen
Publisher : Springer Science & Business Media
Page : 119 pages
File Size : 54,6 Mb
Release : 2013-05-23
Category : Science
ISBN : 9783319002606
This text forms part of material taught during a course in advanced reservoir simulation at Delft University of Technology over the past 10 years. The contents have also been presented at various short courses for industrial and academic researchers interested in background knowledge needed to perform research in the area of closed-loop reservoir management, also known as smart fields, related to e.g. model-based production optimization, data assimilation (or history matching), model reduction, or upscaling techniques. Each of these topics has connections to system-theoretical concepts. The introductory part of the course, i.e. the systems description of flow through porous media, forms the topic of this brief monograph. The main objective is to present the classic reservoir simulation equations in a notation that facilitates the use of concepts from the systems-and-control literature. Although the theory is limited to the relatively simple situation of horizontal two-phase (oil-water) flow, it covers several typical aspects of porous-media flow. The first chapter gives a brief review of the basic equations to represent single-phase and two-phase flow. It discusses the governing partial-differential equations, their physical interpretation, spatial discretization with finite differences, and the treatment of wells. It contains well-known theory and is primarily meant to form a basis for the next chapter where the equations will be reformulated in terms of systems-and-control notation. The second chapter develops representations in state-space notation of the porous-media flow equations. The systematic use of matrix partitioning to describe the different types of inputs leads to a description in terms of nonlinear ordinary-differential and algebraic equations with (state-dependent) system, input, output and direct-throughput matrices. Other topics include generalized state-space representations, linearization, elimination of prescribed pressures, the tracing of stream lines, lift tables, computational aspects, and the derivation of an energy balance for porous-media flow. The third chapter first treats the analytical solution of linear systems of ordinary differential equations for single-phase flow. Next it moves on to the numerical solution of the two-phase flow equations, covering various aspects like implicit, explicit or mixed (IMPES) time discretizations and associated stability issues, Newton-Raphson iteration, streamline simulation, automatic time-stepping, and other computational aspects. The chapter concludes with simple numerical examples to illustrate these and other aspects such as mobility effects, well-constraint switching, time-stepping statistics, and system-energy accounting. The contents of this brief should be of value to students and researchers interested in the application of systems-and-control concepts to oil and gas reservoir simulation and other applications of subsurface flow simulation such as CO2 storage, geothermal energy, or groundwater remediation.
Author : Liancun Zheng,Xinxin Zhang
Publisher : Academic Press
Page : 480 pages
File Size : 48,5 Mb
Release : 2017-04-26
Category : Science
ISBN : 9780128117590
Modeling and Analysis of Modern Fluids helps researchers solve physical problems observed in fluid dynamics and related fields, such as heat and mass transfer, boundary layer phenomena, and numerical heat transfer. These problems are characterized by nonlinearity and large system dimensionality, and ‘exact’ solutions are impossible to provide using the conventional mixture of theoretical and analytical analysis with purely numerical methods. To solve these complex problems, this work provides a toolkit of established and novel methods drawn from the literature across nonlinear approximation theory. It covers Padé approximation theory, embedded-parameters perturbation, Adomian decomposition, homotopy analysis, modified differential transformation, fractal theory, fractional calculus, fractional differential equations, as well as classical numerical techniques for solving nonlinear partial differential equations. In addition, 3D modeling and analysis are also covered in-depth. Systematically describes powerful approximation methods to solve nonlinear equations in fluid problems Includes novel developments in fractional order differential equations with fractal theory applied to fluids Features new methods, including Homotypy Approximation, embedded-parameter perturbation, and 3D models and analysis
Author : Vallampati Ramachandra Prasad
Publisher : BoD – Books on Demand
Page : 134 pages
File Size : 49,6 Mb
Release : 2021-08-18
Category : Science
ISBN : 9781839627118
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.
Author : Reshu Gupta,Mukesh Kumar Awasthi
Publisher : CRC Press
Page : 235 pages
File Size : 50,8 Mb
Release : 2024-03-14
Category : Technology & Engineering
ISBN : 9781003855668
In the rapidly advancing modern world, scientific and technological understanding and innovation are reaching new heights. Computational fluid dynamics and heat transfer have emerged as powerful tools, playing a pivotal role in the analysis and design of complex engineering problems and processes. With the ability to mathematically model various engineering phenomena, these computational tools offer a deeper understanding of intricate dynamics before the physical prototype is created. Widely employed as simulation tools, computational fluid dynamics and heat transfer codes enable the virtual or digital prototype development of products and devices involving complex transport and multiphasic phenomena. They have become an indispensable element of the agile product development environment across diverse sectors of manufacturing, facilitating accelerated product development cycles. Key features of this book: Covers the analysis of advanced thermal engineering systems Explores the simulation of various fluids with slip effect Applies entropy and optimization techniques to thermal engineering systems Discusses heat and mass transfer phenomena Explores fluid flow and heat transfer in porous media Captures recent developments in analytical and computational methods used to investigate the complex mathematical models of fluid dynamics Covers the application of mathematical and computational modeling techniques to fluid flow problems in various geometries Modeling and Simulation of Fluid Flow and Heat Transfer delves into the fascinating world of fluid dynamics and heat transfer modeling, presenting an extensive exploration of these subjects. This book is a valuable resource for researchers, engineers, and students seeking to comprehend and apply numerical methods and computational tools in fluid dynamics and heat transfer problems.
Author : Sven Gross,Arnold Reusken
Publisher : Springer Science & Business Media
Page : 482 pages
File Size : 52,5 Mb
Release : 2011-04-26
Category : Mathematics
ISBN : 9783642196867
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.