Mathematical models and finite elements for reservoir simulation : single phase, multiphase, and multicomponent flows through porous media /
Collection : Studies in mathematics and its applications ; . v. 17 Détails physiques : 1 online resource (xi, 376 pages) : illustrations. ISBN :9780444700995; 0444700994; 9780080875385 (electronic bk.); 0080875386 (electronic bk.).
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Fluid dynamics
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Mathematical models.
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Finite element method.
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Gisements pétrolifères, Étude des
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Modèles mathématiques.
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Fluides, Dynamique des
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Modèles mathématiques.
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Éléments finis, Méthode des.
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Wiskundige modellen.
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Randwaardeproblemen.
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Electronic books.
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TECHNOLOGY & ENGINEERING
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Petroleum.
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milieu poreux.
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réservoir.
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pétrole.
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simulation.
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méthode élément fini.
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modélisation mathématique.
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dynamique fluide.
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Fluides, Dynamique des
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Modèles mathématiques.
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Éléments finis, Méthode des.
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Petroleum deposits
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Reservoirs
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Mathematical models
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Finite element method.
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Fluid dynamics
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Mathematical models.
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Oil reservoir engineering
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Mathematical models.
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.
Includes bibliographical references (p. 365-376).
Description based on print version record.
Front Cover; Miathematical Models and Finite Elements for Reservoir Simulation; Copyright Page; Preface; CONTENTS; CHAPTER I: BASIC LAWS AND MODELS FOR FLOW IN POROUS MEDIA; CHAPTER II: SLIGHTLY COMPRESSIBLE MONOPHASIC FIELDS; CHAPTER Ill: INCOMPRESSIBLE TWO-PHASE RESERVOIRS; CHAPTER IV: GENERALIZATION TO COMPRESSIBLE. THREE.PHASE, BLACK OIL OR COMPOSITIONAL MODELS; CHAPTER V: A FINITE ELEMENT METHOD FOR INCOMPRESSIBLE TWO-PHASE FLOW; REFERENCES;
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