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Mathematical Models and Finite Elements for Reservoir Simulation

Mathematical Models and Finite Elements for Reservoir Simulation
Author: G. Chavent
Publisher: Elsevier
Total Pages: 389
Release: 1986-01-01
Genre: Mathematics
ISBN: 0080875386

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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.


The Mathematics of Reservoir Simulation

The Mathematics of Reservoir Simulation
Author: Richard E. Ewing
Publisher: SIAM
Total Pages: 195
Release: 2014-12-01
Genre: Science
ISBN: 0898716624

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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.


Mathematical Modeling for Flow and Transport Through Porous Media

Mathematical Modeling for Flow and Transport Through Porous Media
Author: Gedeon Dagan
Publisher: Springer Science & Business Media
Total Pages: 293
Release: 2013-06-29
Genre: Science
ISBN: 9401721998

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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.


Computational Methods in Water Resources IX

Computational Methods in Water Resources IX
Author: T. F. Russell
Publisher: Computational Mechanics
Total Pages: 820
Release: 1992
Genre: Finite element method
ISBN: 9781853121692

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Development of Generalized Free Surface Flow Models Using Finite Element Techniques

Development of Generalized Free Surface Flow Models Using Finite Element Techniques
Author: D. Michael Gee
Publisher:
Total Pages: 28
Release: 1978
Genre: Finite element method
ISBN:

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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).


An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
Author: Knut-Andreas Lie
Publisher: Cambridge University Press
Total Pages: 677
Release: 2019-08-08
Genre: Business & Economics
ISBN: 1108492436

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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.


Reservoir Simulation

Reservoir Simulation
Author: Zhangxin Chen
Publisher: SIAM
Total Pages: 244
Release: 2007-01-01
Genre: Mathematics
ISBN: 0898717078

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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.


Reservoir Simulations

Reservoir Simulations
Author: Shuyu Sun
Publisher: Gulf Professional Publishing
Total Pages: 342
Release: 2020-06-18
Genre: Science
ISBN: 0128209623

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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.


Introduction to Groundwater Modeling

Introduction to Groundwater Modeling
Author: Herbert F. Wang
Publisher: Academic Press
Total Pages: 248
Release: 1995-07-26
Genre: Science
ISBN: 0080571948

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The dramatic advances in the efficiency of digital computers during the past decade have provided hydrologists with a powerful tool for numerical modeling of groundwater systems. Introduction to Groundwater Modeling presents a broad, comprehensive overview of the fundamental concepts and applications of computerized groundwater modeling. The book covers both finite difference and finite element methods and includes practical sample programs that demonstrate theoretical points described in the text. Each chapter is followed by problems, notes, and references to additional information. This volume will be indispensable to students in introductory groundwater modeling courses as well as to groundwater professionals wishing to gain a complete introduction to this vital subject. Systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis Great variety of applications that are not available in comparable books Different approach to the Lebesgue integral, which makes the theory easier, more intuitive, and more accessible to undergraduate students


Petroleum Reservoir Simulation

Petroleum Reservoir Simulation
Author: Husam Yaghi
Publisher: LAP Lambert Academic Publishing
Total Pages: 180
Release: 2013
Genre:
ISBN: 9783659393457

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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.