Mathematical Models And Finite Elements For Reservoir Simulation

Author : G. Chavent
Publisher : Elsevier
ISBN 13 : 9780080875385
Total Pages : 375 pages
Book Rating : 4.86/5 ( download)

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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 375 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.

Author : Richard E. Ewing
Publisher : SIAM
ISBN 13 : 0898716624
Total Pages : 195 pages
Book Rating : 4.27/5 ( download)

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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.

Author : Gedeon Dagan
Publisher : Springer Science & Business Media
ISBN 13 : 9401721998
Total Pages : 293 pages
Book Rating : 4.98/5 ( download)

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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.

Author : D. Michael Gee
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.04/5 ( download)

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Download or read book Development of Generalized Free Surface Flow Models Using Finite Element Techniques written by D. Michael Gee and published by . This book was released on 1978 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two finite element hydrodynamic models, one for two-dimensional free surface flow in the horizontal plane and one for the vertical plane are being evaluated. Although the models are formulated to solve dynamic flow problems, all work to date has been with steady state solutions. Recent research has focused on mass continuity performance of the models, proper boundary condition specification, and comparison with finite difference techniques. The objective of this research is to develop generalized mathematical models for routine use by the engineering community. This paper presents recent results of evaluation and application of the models. (Author).

Author : T. F. Russell
Publisher : Computational Mechanics
ISBN 13 : 9781853121692
Total Pages : 820 pages
Book Rating : 4.9X/5 ( download)

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Download or read book Computational Methods in Water Resources IX written by T. F. Russell and published by Computational Mechanics. This book was released on 1992 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : George F. Pinder
Publisher : Elsevier
ISBN 13 : 1483270424
Total Pages : 308 pages
Book Rating : 4.25/5 ( download)

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Download or read book Finite Element Simulation in Surface and Subsurface Hydrology written by George F. Pinder and published by Elsevier. This book was released on 2013-09-03 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Simulation in Surface and Subsurface Hydrology provides an introduction to the finite element method and how the method is applied to problems in surface and subsurface hydrology. The book presents the basic concepts of the numerical methods and the finite element approach; applications to problems on groundwater flow and mass and energy transport; and applications to problems that involve surface water dynamics. Computational methods for the solution of differential equations; classification of partial differential equations; finite difference and weighted residual integral techniques; and The Galerkin finite element method are discussed as well. The text will be of value to engineers, hydrologists, and students in the field of engineering.

Author : Knut-Andreas Lie
Publisher : Cambridge University Press
ISBN 13 : 1108492436
Total Pages : 677 pages
Book Rating : 4.30/5 ( download)

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Download or read book An Introduction to Reservoir Simulation Using MATLAB/GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.

Author : Zhangxin Chen
Publisher : SIAM
ISBN 13 : 0898717078
Total Pages : 244 pages
Book Rating : 4.75/5 ( download)

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Download or read book Reservoir Simulation written by Zhangxin Chen and published by SIAM. This book was released on 2007-01-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with an overview of classical reservoir engineering and basic reservoir simulation methods, this book then progresses through a discussion of types of flows - single-phase, two-phase, black oil (three-phase), single phase with multi-components, 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 book also summarises the practical aspects of reservoir simulation, such as data gathering and analysis, and reservoir performance prediction. Suitable as a text for advanced undergraduate and first-year graduate students in geology, petroleum engineering, and applied mathematics; as a reference book; 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.

Author : Graham F. Carey
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.12/5 ( download)

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Download or read book Finite Element Modeling of Environmental Problems written by Graham F. Carey and published by . This book was released on 1995-12-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its ability to treat both regions with irregular boundaries and with different material types, the finite element method is increasingly being applied to surface water and soil transport problems and this is the focus of the present volume. The method is ideally suited to simulation of complex real applications for resolving environmental issues and for conducting environmental impact studies. The present volume focuses on the two main areas of environmental modeling with finite elements and the supporting finite element methodology. Five chapters are devoted to ocean and coastal engineering, one to other surface water problems, several to ground water modeling and contaminant transport, including radioactive waste, and the remainder to mathematical models, particularly for mixed finite elements and nonlinear problems. Environmental problems are of increasing topicality and importance today. Special care has been taken in organizing and editing the material to form the right combination of modeling, methodology, and applications studies to form a cohesive treatment appropriate for a graduate course or seminar on the subject. It is aimed in particular at engineers working in computational environmental fluid mechanics and transport processes.

Author : Knut-Andreas Lie
Publisher : Cambridge University Press
ISBN 13 : 1108597696
Total Pages : 677 pages
Book Rating : 4.92/5 ( download)

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Download or read book An Introduction to Reservoir Simulation Using MATLAB/GNU Octave written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2019-08-08 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained introduction to the simulation of flow and transport in porous media, written by a developer of numerical methods. The reader will learn how to implement reservoir simulation models and computational algorithms in a robust and efficient manner. The book contains a large number of numerical examples, all fully equipped with online code and data, allowing the reader to reproduce results, and use them as a starting point for their own work. All of the examples in the book are based on the MATLAB Reservoir Simulation Toolbox (MRST), an open-source toolbox popular popularity in both academic institutions and the petroleum industry. The book can also be seen as a user guide to the MRST software. It will prove invaluable for researchers, professionals and advanced students using reservoir simulation methods. This title is also available as Open Access on Cambridge Core.