Skip to main content
SpringerLink
Log in

Mathematical Modeling for Flow and Transport Through Porous Media

  • Book
  • © 1991

Overview

Editors:
  1. Gedeon Dagan

    1. Tel Aviv, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Ulrich Hornung

    1. Neubiberg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Peter Knabner

    1. Augsburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (16 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. International Workshop on Mathematical Modeling for Flow and Transport Through Porous Media

    • Gedeon Dagan, Ulrich Hornung, Peter Knabner
    Pages 473-473

  3. International Workshop on Mathematical Modeling for Flow and Transport Through Porous Media

    • Gedeon Dagan, Ulrich Hornung, Peter Knabner
    Pages 475-477

  4. Simulation of Multiphase Flows in Porous Media

    • Richard E. Ewing
    Pages 479-499

  5. Geometric properties of two phase flow in geothermal reservoirs

    • Graham J. Weir
    Pages 501-517

  6. Numerical Simulation and Homogenization of Two-Phase Flow in Heterogeneous Porous Media

    • Brahim Amaziane, Alain Bourgeat, Joe Koebbe
    Pages 519-547

  7. A Limit Form of the Equations for Immiscible Displacement in a Fractured Reservoir

    • Jim Douglas Jr., Paulo Jorge Paes-Leme, Jeffrey L. Hensley
    Pages 549-565

  8. Diffusion Models with Microstructure

    • R. E. Showalter
    Pages 567-580

  9. Characterization of Porous Media — Pore Level

    • F. A. L. Dullien
    Pages 581-606

  10. Scaling Mixing during Miscible Displacement in Heterogeneous Porous Media

    • Robert A. Greenkorn, John S. Haselow
    Pages 607-626

  11. Fixed Domain Methods for Free and Moving Boundary Flows in Porous Media

    • J. C. Bruch Jr.
    Pages 627-649

  12. Qualitative Mathematical Analysis of the Richards Equation

    • B. H. Gilding
    Pages 651-666

  13. Modeling of In-Situ Biorestoration of Organic Compounds in Groundwater

    • Chen Y. Chiang, Clint N. Dawson, Mary F. Wheeler
    Pages 667-702

  14. Reaction Kinetics and Transport in Soil: Compatibility and Differences between Some Simple Models

    • Sjoerd E. A. T. M. van der Zee
    Pages 703-737

  15. A Perturbation Solution for Nonlinear Solute Transport in Porous Media

    • D. O. Lomen, A. L. Islas, X. Fan, A. W. Warrick
    Pages 739-744

  16. Trace Type Functional Differential Equations and the Identification of Hydraulic Properties of Porous Media

    • J. R. Cannon, Paul DuChateau, Ken Steube
    Pages 745-758

  17. Parameter Identification in a Soil with Constant Diffusivity

    • David Zachmann, Ian White
    Pages 759-769
Back to top

Keywords

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.

Editors and Affiliations

  • Tel Aviv, Israel

    Gedeon Dagan

  • Neubiberg, Germany

    Ulrich Hornung

  • Augsburg, Germany

    Peter Knabner

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation