Mathematical Modeling for Flow and Transport Through Porous Media

  • Gedeon Dagan
  • Ulrich Hornung
  • Peter Knabner

Table of contents

  1. Front Matter
    Pages i-iii
  2. Richard E. Ewing
    Pages 479-499
  3. Brahim Amaziane, Alain Bourgeat, Joe Koebbe
    Pages 519-547
  4. Jim Douglas Jr., Paulo Jorge Paes-Leme, Jeffrey L. Hensley
    Pages 549-565
  5. R. E. Showalter
    Pages 567-580
  6. F. A. L. Dullien
    Pages 581-606
  7. Robert A. Greenkorn, John S. Haselow
    Pages 607-626
  8. Chen Y. Chiang, Clint N. Dawson, Mary F. Wheeler
    Pages 667-702
  9. D. O. Lomen, A. L. Islas, X. Fan, A. W. Warrick
    Pages 739-744
  10. David Zachmann, Ian White
    Pages 759-769

About this book


The main aim of this paper is to present some new and general results, ap­ plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris­ ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre­ viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.


Simulation calculus geotechnical engineering mathematical modeling modeling multiphase flow optimization porous media

Editors and affiliations

  • Gedeon Dagan
    • 1
  • Ulrich Hornung
    • 2
  • Peter Knabner
    • 3
  1. 1.Tel AvivIsrael
  2. 2.NeubibergGermany
  3. 3.AugsburgGermany

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4127-2
  • Online ISBN 978-94-017-2199-8
  • Buy this book on publisher's site
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