IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v337y2004i3p384-388.html
   My bibliography  Save this article

The Forchheimer equation in two-dimensional percolation porous media

Author

Listed:
  • Wang, Xiao-Hong
  • Liu, Zhi-Feng

Abstract

Based on solving the Navier–Stokes equations in the two-dimensional percolation porous media for 500 different configurations, the scaling relations for the fluid permeability k and the inertial parameter β in the Forchheimer equation are studied. In the vicinity of the critical threshold pc, the fluid permeability k and the inertial parameter β will crossover from the fractal behaviors: k∼L−μ1, β∼Lμ2, where μ1≈1.0, μ2≈2.0 for the small size L, to the constants: k∼(p−pc)α1, β∼(p−pc)−α2, where α1≈43, α2≈83. Compared to the viscous flow, the resistance to flow will have a larger critical exponent for the finite Reynolds number flows.

Suggested Citation

  • Wang, Xiao-Hong & Liu, Zhi-Feng, 2004. "The Forchheimer equation in two-dimensional percolation porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 384-388.
    • Handle: RePEc:eee:phsmap:v:337:y:2004:i:3:p:384-388
    DOI: 10.1016/j.physa.2004.01.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104001141
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2004.01.047?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wu, Bin & Liu, Zhi-Feng & Wang, Xiao-Hong, 2013. "Statistical behaviors for renormalization of correlated permeability field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3115-3121.

    More about this item

    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:eee:phsmap:v:337:y:2004:i:3:p:384-388. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.