Mathematical Models And Finite Elements For Reservoir Simulation
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Author | : G. Chavent |
Publisher | : Elsevier |
Total Pages | : 389 |
Release | : 1986-01-01 |
Genre | : Mathematics |
ISBN | : 0080875386 |
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 |
Total Pages | : 195 |
Release | : 2014-12-01 |
Genre | : Science |
ISBN | : 0898716624 |
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 |
Total Pages | : 293 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 9401721998 |
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 | : T. F. Russell |
Publisher | : Computational Mechanics |
Total Pages | : 820 |
Release | : 1992 |
Genre | : Science |
ISBN | : 9781853121692 |
Author | : D. Michael Gee |
Publisher | : |
Total Pages | : 28 |
Release | : 1978 |
Genre | : Finite element method |
ISBN | : |
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 | : Knut-Andreas Lie |
Publisher | : Cambridge University Press |
Total Pages | : 677 |
Release | : 2019-08-08 |
Genre | : Business & Economics |
ISBN | : 1108492436 |
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 |
Total Pages | : 244 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 0898717078 |
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 | : Shuyu Sun |
Publisher | : Gulf Professional Publishing |
Total Pages | : 342 |
Release | : 2020-06-18 |
Genre | : Science |
ISBN | : 0128209623 |
Reservoir Simulation: Machine Learning and Modeling helps the engineer step into the current and most popular advances in reservoir simulation, learning from current experiments and speeding up potential collaboration opportunities in research and technology. This reference explains common terminology, concepts, and equations through multiple figures and rigorous derivations, better preparing the engineer for the next step forward in a modeling project and avoid repeating existing progress. Well-designed exercises, case studies and numerical examples give the engineer a faster start on advancing their own cases. Both computational methods and engineering cases are explained, bridging the opportunities between computational science and petroleum engineering. This book delivers a critical reference for today’s petroleum and reservoir engineer to optimize more complex developments. Understand commonly used and recent progress on definitions, models, and solution methods used in reservoir simulation World leading modeling and algorithms to study flow and transport behaviors in reservoirs, as well as the application of machine learning Gain practical knowledge with hand-on trainings on modeling and simulation through well designed case studies and numerical examples.
Author | : Husam Yaghi |
Publisher | : LAP Lambert Academic Publishing |
Total Pages | : 180 |
Release | : 2013 |
Genre | : |
ISBN | : 9783659393457 |
In this book, the author presents a detailed complex mathematical and computational model for the simulation of fluid flow in reservoirs. The research was conducted in collaboration with Dr. John M. Tyler of LSU and was funded by the United States Department of Energy. The results were published in a Ph.D. dissertation and at several international conferences. Oil and Gas Reservoirs Hydrocarbons and their associated impurities occur in rock formations that are usually buried thousands of feet or meters below the surface. Scientists and engineers often call rock formations that hold hydrocarbons "reservoirs." Oil does not flow in underground rivers or pool up in subterranean lakes, contrary to what some people think. crude oil and natural gas occur in buried rocks and, once produced from a well, companies have to refine the crude oil and process the natural gas into useful products. Further, not every rock can hold hydrocarbons. To serve as an oil and gas reservoir, rocks have to meet several criteria.
Author | : George Francis Pinder |
Publisher | : |
Total Pages | : 326 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |