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Collocation Techniques for Modeling Compositional Flows in Oil Reservoirs

  • Book
  • © 1984

Overview

Authors:
  1. Myron B. Allen

    1. Department Of Mathematics, University of Wyoming, Laramie, USA

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Part of the book series: Lecture Notes in Engineering (LNENG, volume 6)

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Table of contents (5 chapters)

  1. Front Matter

    Pages N2-VI
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  2. The Physical System

    • Myron B. Allen III
    Pages 1-38

  3. Representing Fluid-Phase Behavior

    • Myron B. Allen III
    Pages 39-88

  4. Solving Transport Equations by Collocation

    • Myron B. Allen III
    Pages 89-125

  5. Modeling Compositional Flows

    • Myron B. Allen III
    Pages 126-169

  6. Conclusions

    • Myron B. Allen III
    Pages 170-173

  7. Back Matter

    Pages 174-211
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About this book

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.

Authors and Affiliations

  • Department Of Mathematics, University of Wyoming, Laramie, USA

    Myron B. Allen

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