Mathematics of Partially Miscible Three-phase Flow PDF Download
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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: Tara Catherine LaForce
Publisher:
ISBN:
Category : Miscible displacement (Petroleum engineering)
Languages : en
Pages : 0
Get Book Here
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: Rafael Ernesto Guzmán Ayala
Publisher:
ISBN:
Category : Multiphase flow
Languages : en
Pages : 336
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Book Description
Author: G. Chavent
Publisher: Elsevier
ISBN: 0080875386
Category : Mathematics
Languages : en
Pages : 389
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Book Description
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.
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: Gedeon Dagan
Publisher: Springer Science & Business Media
ISBN: 9401721998
Category : Science
Languages : en
Pages : 293
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Book Description
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.
Author:
Publisher: Elsevier
ISBN: 0444640045
Category : Mathematics
Languages : en
Pages : 712
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Book Description
Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering. - About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization - Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading - The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs
Author: Richard E. Ewing
Publisher: SIAM
ISBN: 0898716624
Category : Science
Languages : en
Pages : 195
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Book Description
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.
Author: Nikolay Ivanov Kolev
Publisher: Springer
ISBN: 3319152963
Category : Technology & Engineering
Languages : en
Pages : 870
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Book Description
In its fifth extended edition the successful monograph package “Multiphase Flow Dynamics” contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present first volume the local volume and time averaging is used to derive a complete set of conservation equations for three fluids each of them having multi components as constituents. Large parts of the book are devoted on the design of successful numerical methods for solving the obtained system of partial differential equations. Finally the analysis is repeated for boundary fitted curvilinear coordinate systems designing methods applicable for interconnected multi-blocks. This fifth edition includes various updates, extensions, improvements and corrections, as well as a completely new chapter containing the basic physics describing the multi-phase flow in turbines, compressors, pumps and other rotating hydraulic machines.
Author: P. Bedrikovetsky
Publisher: Springer Science & Business Media
ISBN: 9401722056
Category : Science
Languages : en
Pages : 596
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Book Description
It is a pleasure to be asked to write the foreword to this interesting new book. When Professor Bedrikovetsky first accepted my invitation to spend an extended sabbatical period in the Department of Mineral Resources Engineering at Imperial College of Science, Technology and Medicine, I hoped it would be a period of fruitful collaboration. This book, a short course and a variety of technical papers are tangible evidence of a successful stay in the UK. I am also pleased that Professor Bedrikovetsky acted on my suggestion to publish this book with Kluwer as part of the petroleum publications for which I am Series Editor. The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute. The original DSc contained a number of discrete publications unified by an analytical mathematics approach to fluid flow in petroleum reservoirs. During his sabbatical stay at Imperial College, Professor Bedrikovetsky has refined and extended many of the chapters and has discussed each one with internationally recognised experts in the field. He received great encouragement and editorial advice from Dr Gren Rowan, who pioneered analytical methods in reservoir modelling at BP for many years.
Author: Nikolay Ivanov Kolev
Publisher: Springer Science & Business Media
ISBN: 9783540221067
Category : Technology & Engineering
Languages : en
Pages : 808
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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 monograph contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present first volume the fundamentals of multiphase dynamics are provided. This third edition includes various updates, extensions and improvements in all book chapters.
