Mathematics of Three-phase Flow PDF Download
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Author: Rafael Ernesto Guzmán Ayala
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 336
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Book Description
Author: Rafael Ernesto Guzmán Ayala
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 336
Get Book Here
Book Description
Author: P.M. Adler
Publisher: Springer Science & Business Media
ISBN: 9401723729
Category : Science
Languages : en
Pages : 196
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Book Description
The study of multiphase flow through porous media is undergoing intense development, mostly due to the recent introduction of new methods. After the profound changes induced by percolation in the eighties, attention is nowadays focused on the pore scale. The physical situation is complex and only recently have tools become available that allow significant progress to be made in the area. This volume on Multiphase Flow in Porous Media, which is also being published as a special issue of the journal Transport in Porous Media, contains contributions on the lattice-Boltzmann technique, the renormalization technique, and semi-phenomenological studies at the pore level. Attention is mostly focused on two- and three-phase flows. These techniques are of tremendous importance for the numerous applications of multiphase flows in oil fields, unsaturated soils, the chemical industry, and environmental sciences.
Author: Myron B. Allen, III
Publisher: John Wiley & Sons
ISBN: 1119663873
Category : Mathematics
Languages : en
Pages : 226
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Book Description
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
Publisher: American Mathematical Soc.
ISBN: 082182807X
Category : Mathematics
Languages : en
Pages : 538
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Book Description
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: Dominique Guerillot
Publisher: Editions TECHNIP
ISBN: 9782710805892
Category : Technology & Engineering
Languages : en
Pages : 388
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Book Description
Author: Alain P Bourgeat
Publisher: World Scientific
ISBN: 9814548391
Category :
Languages : en
Pages : 534
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Book Description
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: Tara Catherine LaForce
Publisher:
ISBN:
Category : Miscible displacement (Petroleum engineering)
Languages : en
Pages : 0
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Book Description
Partially miscible flow of several components in three or more phases occurs in both enhanced oil recovery and remediation of contaminated aquifers. There is insufficient understanding of how the formation of multiple phases affects subsurface flow. The main objective of this work is to develop compositional solution routes using the method of characteristics (MOC) for one dimensional, dispersion-free flow where up to three partially miscible flowing phases may be present; a problem that is poorly understood. Analytical solutions provide insight into the behavior of multi-phase flow and can be used as benchmarks for numerical simulation. Unique composition routes are found for a ternary system that can form three flowing phases and is analogous to carbon dioxide and methane injection into an oil reservoir. A single-component, single-phase initial composition is assumed and injection of the other two components is studied. A ternary system modeling surfactant-enhanced remediation of a non-aqueous phase contaminant is also studied for a two-phase initial composition and a series of injection compositions. Analytical solutions are found for three different relative permeability models. Finally, the analytical solutions are compared to core floods and simulations. The results show that recovery of oil or contaminant often declines with surfactant enrichment for a range of injection compositions. Multiple-contact miscibility (MCM) is developed at the critical point of the alcohol/oleic two phase region and on the boundary of the three-phase region for the single-phase initial composition. When the initial composition is two-phase miscibility is not developed; a substantial divergence from two-phase flow. Analytical composition routes match the experimental data in most cases. Numerical dispersion may cause simulated routes to differ from analytical routes at shock fronts, but as dispersion is minimized the simulated routes converge to the analytical solutions. Numerical dispersion causes a decrease in recovery, particularly near MCM and may not adequately model the true physical dispersion in the core floods. Two-phase partially miscible flow is also studied for the case when the initial composition has two hydrocarbon phases. The flow in MCM condensing and condensing/vaporizing drives is dependent on the relative permeability curves and recovery of heavy hydrocarbons may be substantially delayed.
Author: A.A. Mammoli
Publisher: WIT Press
ISBN: 1845640799
Category : Science
Languages : en
Pages : 417
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Book Description
Fluid Dynamics is one of the most important topics of applied mathematics and physics. Together with complex flows and turbulence, multiphase flows remains one of the most challenging areas of computational mechanics, and even seemingly simple problems remain unsolved to date. Multiphase flows are found in all areas of technology, at all length scales and flow regimes. The fluids involved can be compressible or incompressible, linear or nonlinear. Because of the complexity of the problem, it is often essential to utilize advanced computational and experimental methods to solve the complex equations that describe them. Challenges in these simulations include nonlinear fluids, treating drop breakup and coalescence, characterizing phase structures, and many others.This volume brings together work presented at the Fourth International Conference on Computational and Experimental Methods in Multiphase and Complex Flows. Featured topics include: Suspensions; Bubble and Drop Dynamics; Flow in Porous Media; Interfaces; Turbulent Flow; Injectors and Nozzles; Particle Image Velocimetry; Macroscale Constitutive Models; Large Eddy Simulation; Finite Volumes; Interface Tracking Methods; Biological Flows; Environmental Multiphase Flow; Phase Changes and Stochastic Modelling.
Author: Nikolay Ivanov Kolev
Publisher: Springer Science & Business Media
ISBN: 9783540221074
Category : Multiphase flow
Languages : en
Pages : 730
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Book Description
Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. In its third extended edition this book contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations. This book provides a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present second volume the mechanical and thermal interactions in multiphase dynamics are provided. This third edition includes various updates, extensions, improvements and corrections.
Author: Sven Gross
Publisher: Springer Science & Business Media
ISBN: 3642196861
Category : Mathematics
Languages : en
Pages : 487
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Book Description
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.
