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Mathematical Theory of Oil and Gas Recovery

Mathematical Theory of Oil and Gas Recovery PDF Author: P. Bedrikovetsky
Publisher: Springer Science & Business Media
ISBN: 9401722056
Category : Science
Languages : en
Pages : 596

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 The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute.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.

Mathematical Theory of Oil and Gas Recovery

Mathematical Theory of Oil and Gas Recovery PDF Author: P. Bedrikovetsky
Publisher: Springer Science & Business Media
ISBN: 9401722056
Category : Science
Languages : en
Pages : 596

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.

Mathematical Theory of Oil and Gas Recovery

Mathematical Theory of Oil and Gas Recovery PDF Author: Pavel Bedrikovetsky
Publisher: Springer
ISBN: 9789401722063
Category :
Languages : en
Pages : 600

Book Description
This book comprises a new mathematical study of multiphase multicomponent flows in heterogeneous porous media. The goal is to develop analytical models of the recovery processes from heterogeneous reservoirs based on the exact analytical solutions of equations of flow in porous media. The analytical models developed describe chemical and hot waterflooding, injection of gases and solvents in oil and gas condensate reservoirs. Analytical modelling allows a wide comparative study of application of different recovery technologies in any actual hydrocarbon reservoir and permits a detailed sensitivity study. Analytical solutions of inverse problems allow the determination of the properties of reservoirs and fluids from field test data and laboratory data. Applications of analytical models in feasibility studies, in the development planning and design, and in reservoir characterization are given with respect to numerous CIS oil and gas condensate fields. While a review of classical problems is included, the bulk of the book deals with original, unpublished material and new research. The book will be useful for researchers in petroleum engineering and reservoir modelling, for software engineers, for practical reservoir engineers and managers of reservoir studies.

Technologies and Mathematical Modeling of Fines-assisted Oil and Gas Recovery

Technologies and Mathematical Modeling of Fines-assisted Oil and Gas Recovery PDF Author: Abbas Zeinijahromi
Publisher:
ISBN:
Category : Enhanced oil recovery
Languages : en
Pages : 196

Book Description
This is a PhD thesis by publication. It includes seven published/accepted for publication journal papers and two submitted papers in academic peer reviewed journals. The content of the thesis is also published in ten full volume technical papers of Society of Petroleum Engineering (SPE). The thesis develops a theory for single and two-phase flow in porous media accounting for mobilization, migration, and straining of the natural reservoir fines. This phenomenon has been widely reported in laboratory studies and also well history data. The existing mathematical model, widely used in petroleum reservoir simulation, does not agree with laboratory observations. It contains phenomenological empirical constants which cannot be predicted theoretically. The new closed system of governing equations, proposed in the current thesis, is free of the above mentioned shortcomings. The proposed system contains a new theoretical function describing the rock capacity to liberate fines so-called maximum retention function. This function is based on the micro scale conditions of mechanical equilibrium of fine particles in the porous space. The mechanical equilibrium condition is a torque balance of drag, lifting, electrostatic, gravity, and capillary forces. The maximum retention function is derived for both single-phase and two-phase flows in porous media. The comparison between the modified particle detachment model and the maximum retention function and laboratory and well data has shown a good agreement, which validates the model. An exact analytical solution for single-phase flow in porous media with alternating velocity accounting for fines lifting has been derived, allowing for mathematical description of a laboratory test on the suspension injection into reservoir cores with alternating velocities. Good agreement between the laboratory test results and the mathematical modeling predictions validates the theory developed. Both analytical and numerical models for two-phase flow with induced fines migration have been developed. In reservoir scale approximation, the equivalence between the fines assisted water-flood and adsorption-free polymer flood has been investigated. It allows using the existing commercial simulators to model low salinity water-flood. The results of the modeling allow proposing a new technologically effective and economical method for improved sweep efficiency by fines assisted water-flooding. Moreover, modeling of low salinity water injection shows that permeability reduction due to induced fines migration can slow down the encroaching water in oil/gas reservoir under strong water support. It decreases water production during pressure depletion of oil/gas reservoirs and improves the recovery. Also, a small volume injection of low salinity water can be used to reduce the water conning problem in oil/gas wells and prolong the wells production life.

The Mathematics of Oil Recovery

The Mathematics of Oil Recovery PDF Author: Dr. Peter R. King
Publisher: Oxford University Press, USA
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 854

Book Description
Based on a conference on mathematical aspects of oil recovery problems, this work reports recent research on fluid flow in oil reservoirs. Particular emphasis is placed on the mathematical and numerical methods used.

Reservoir Simulation

Reservoir Simulation PDF Author: Zhangxin Chen
Publisher: SIAM
ISBN: 0898716403
Category : Mathematics
Languages : en
Pages : 243

Book Description
This book covers and expands upon material presented by the author at a CBMS-NSF Regional Conference during a ten-lecture series on multiphase flows in porous media and their simulation. It begins with an overview of classical reservoir engineering and basic reservoir simulation methods and then progresses through a discussion of types of flows—single-phase, two-phase, black oil (three-phase), single phase with multicomponents, compositional, and thermal. The author provides a thorough glossary of petroleum engineering terms and their units, along with basic flow and transport equations and their unusual features, and corresponding rock and fluid properties. The practical aspects of reservoir simulation, such as data gathering and analysis, selection of a simulation model, history matching, and reservoir performance prediction, are summarized. Audience This book can be used as a text for advanced undergraduate and first-year graduate students in geology, petroleum engineering, and applied mathematics; as a reference book for geologists, petroleum engineers, and applied mathematicians; or as a handbook for practitioners in the oil industry. Prerequisites are calculus, basic physics, and some knowledge of partial differential equations and matrix algebra.Contents List of Figures; List of Tables; List of Notation; Preface; Introduction; Chapter 1: A Glossary of Petroleum Terms; Chapter 2: Single-Phase Flow and Numerical Solution; Chapter 3: Well Modeling; Chapter 4: Two-Phase Flow and Numerical Solution; Chapter 5: The Black Oil Model and Numerical Solution; Chapter 6: Transport of Multicomponents in a Fluid and Numerical Solution; Chapter 7: Compositional Flow and Numerical Solution; Chapter 8: Nonisothermal Flow and Numerical Solution; Chapter 9: Practical Topics in Reservoir Simulation; Bibliography; Index.

Mathematics in Oil Production

Mathematics in Oil Production PDF Author: Samuel Frederick Edwards
Publisher: Oxford University Press, USA
ISBN:
Category : Literary Criticism
Languages : en
Pages : 404

Book Description
This collection of papers, presented at the last IMA conference in Cambridge, covers recent developments in non-linear mathematics and electronic computers which have led to substantial advances in the field of fluid mechanics and related transport phenomena.

The Mathematics of Reservoir Simulation

The Mathematics of Reservoir Simulation PDF Author: Richard E. Ewing
Publisher: SIAM
ISBN: 0898716624
Category : Science
Languages : en
Pages : 195

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.

Advanced methods of mathematical modeling and experimental study in oil and gas reservoirs

Advanced methods of mathematical modeling and experimental study in oil and gas reservoirs PDF Author: Fuyong Wang
Publisher: Frontiers Media SA
ISBN: 2832528872
Category : Technology & Engineering
Languages : en
Pages : 192

Book Description


Mathematics of Oil Recovery

Mathematics of Oil Recovery PDF Author: Dominique Guerillot
Publisher: Editions TECHNIP
ISBN: 9782710805892
Category : Technology & Engineering
Languages : en
Pages : 388

Book Description


The Mathematics of Fluid Flow Through Porous Media

The Mathematics of Fluid Flow Through Porous Media PDF Author: Myron B. Allen, III
Publisher: John Wiley & Sons
ISBN: 1119663873
Category : Mathematics
Languages : en
Pages : 226

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.