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Collocation Techniques for Modeling Compositional Flows in Oil Reservoirs

Collocation Techniques for Modeling Compositional Flows in Oil Reservoirs

Paperback

Series: Lecture Notes in Engineering, Book 6

Technology & EngineeringPhysics

ISBN10: 3540130969
ISBN13: 9783540130963
Publisher: Springer
Published: Dec 1 1983
Pages: 211
Weight: 0.79
Height: 0.46 Width: 6.69 Depth: 9.61
Language: English
This investigation is an outgrowth of my doctoral dissertation at Princeton University. I am particularly grateful to Professors George F. Pinder and William G. Gray of Princeton for their advice during both my research and my writing. I believe that finite-element collocation holds promise as a numer- ical scheme for modeling complicated flows in porous media. However, there seems to be a conventional wisdom maintaining that collocation is hopelessly beset by oscillations and is, in some way, fundamentally inappropriate for multiphase flows. I hope to dispel these objections, realizing that others will remain for further work. The U. S. National Science Foundation funded much of this study through grant number NSF-CEE-8111240. TABLE OF CONTENTS ABSTRACT;; FOREWORD;;; CHAPTER ONE. THE PHYSICAL SYSTEM. 1.1 Introduction. 1 1.2 The reservoir and its contents. 5 1.3 Reservoir mechanics. 9 1.4 Supplementary constraints. 18 1.5 Governing equations. 26 CHAPTER TWO. REPRESENTING FLUID-PHASE BEHAVIOR. 39 2.1 Thermodynamics of the fluid system. 40 2.2 Standard equation-of-state methods. 45 2.3 Maxwell-set interpolation.

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