© 1984

Collocation Techniques for Modeling Compositional Flows in Oil Reservoirs


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

Table of contents

  1. Front Matter
    Pages N2-VI
  2. Myron B. Allen III
    Pages 1-38
  3. Myron B. Allen III
    Pages 39-88
  4. Myron B. Allen III
    Pages 89-125
  5. Myron B. Allen III
    Pages 126-169
  6. Myron B. Allen III
    Pages 170-173
  7. Back Matter
    Pages 174-211

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.


Erdölgewinnung Kollokation Mehrphasenströmung Poröser Stoff Transport convection mechanics model modeling thermodynamics

Authors and affiliations

  1. 1.Department Of MathematicsUniversity of WyomingLaramieUSA

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