IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4612-1984-2_10.html
   My bibliography  Save this book chapter

Finite Element Methods for Two-Phase Flow in Heterogeneous Porous Media

In: Numerical Methods and Software Tools in Industrial Mathematics

Author

Listed:
  • Elisabeth Gundersen

    (University of Oslo, Dept. of Math.)

  • Hans Petter Langtangen

    (University of Oslo, Dept. of Math.)

Abstract

A mathematical model for the simultaneous flow of oil and water in porous rock formations is considered. The elliptic pressure equation and the hyperbolic saturation equation are discretized by various finite element methods of streamline diffusion type in space, and by finite differences in time. The main purpose of the chapter is to examine different solution strategies in four flow cases involving porous formations with different type of heterogeneities in absolute and relative permeability as well as in porosity. Fully implicit methods represent the most robust and reliable solution approach in challenging flow cases. Simpler solution strategies may, however, be satisfactorily robust and more efficient in problems with less severe heterogeneities.

Suggested Citation

  • Elisabeth Gundersen & Hans Petter Langtangen, 1997. "Finite Element Methods for Two-Phase Flow in Heterogeneous Porous Media," Springer Books, in: Morten Dæhlen & Aslak Tveito (ed.), Numerical Methods and Software Tools in Industrial Mathematics, chapter 10, pages 213-234, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1984-2_10
    DOI: 10.1007/978-1-4612-1984-2_10
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-1-4612-1984-2_10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.