Multiphase Flow in Porous Media

Mechanics, Mathematics, and Numerics

  • Myron Bartlett AllenIII
  • Grace Alda Behie
  • John Arthur Trangenstein

Part of the Lecture Notes in Engineering book series (LNENG, volume 34)

Table of contents

  1. Front Matter
    Pages I-IV
  2. Myron B. Allen III
    Pages 1-86
  3. John A. Trangenstein
    Pages 87-246
  4. Back Matter
    Pages 308-308

About this book


The past decade has seen remarkable growth in research related to petroleum reseIVoir simulation. This growth reflects several developments, not the least of which is the increased interest in oil recovery technologies requiring sophisticated engineer­ ing. Augmenting this interest has been the broader availability of supercomputers capable of handling the tremendous computational demands of a typical reseIVoir simulator. The field of reseIVoir simulation incorporates several major facets of applied mathematics. First, in view of the varieyt and complexity of the processes encoun­ tered, it is imperative that the modeler adopt a systematic approach to establishing the equations governing reseIVoir flows. Second, the mathematical structure of these flow equations needs to be carefully analyzed in order to develop appropriate and efficient numerical methods for their solution. Third, since some aspects of the discretized flow equations are typically stiff, one must develop efficient schemes for solving large sparse systems of linear equations. This monograph has three parts, each devoted to one of these three aspects of reseIVoir modeling. The text grew out of a set of lectures presented by the authors in the autumn of 1986 at the IBM Scientific Center in Bergen, Norway. We feel that it is only appropriate to caution the reader that many of the ideas that we present in this monograph do not reflect standard approaches in petroleum reseIVoir simulation. In fact, our aim is to outline promising new ways of attacking reseIVoir simulation prob­ lems, rather than to compile another textbook for the mainstream.


Simulation algorithm calculus linear algebra mechanics model modeling numerical analysis numerical methods partial differential equation thermodynamics

Authors and affiliations

  • Myron Bartlett AllenIII
    • 1
  • Grace Alda Behie
    • 2
  • John Arthur Trangenstein
    • 3
  1. 1.Dept. of MathematicsUniversity of WyomingLaramieUSA
  2. 2.Dynamics Reservoir Systems Itd.CalgaryCanada
  3. 3.Lawrence Livermore LaboratoriesLivermoreUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1988
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-96731-8
  • Online ISBN 978-1-4613-9598-0
  • Series Print ISSN 0176-5035
  • Buy this book on publisher's site