IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v319y2003icp11-35.html
   My bibliography  Save this article

Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits

Author

Listed:
  • Ferer, M.
  • Bromhal, Grant S.
  • Smith, Duane H.

Abstract

Motivated by a wide-range of applications from ground water remediation to carbon dioxide sequestration and by difficulties in reconciling experiments with previous modeling, we have developed a pore-level model of two-phase flow in porous media. We have attempted to make our model as physical and as reliable as possible, incorporating both capillary effects and viscous effects. After a detailed discussion of the model, we validate it in the very different limits of zero capillary number and zero-viscosity ratio. Invasion percolation (IP) models the flow in the limit of zero capillary number; results from our model show detailed agreement with results from IP, for small capillary numbers. Diffusion limited aggregation (DLA) models the flow in the limit of zero-viscosity ratio; flow patterns from our model have the same fractal dimension as patterns from DLA for small viscosity ratios.

Suggested Citation

  • Ferer, M. & Bromhal, Grant S. & Smith, Duane H., 2003. "Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 11-35.
  • Handle: RePEc:eee:phsmap:v:319:y:2003:i:c:p:11-35
    DOI: 10.1016/S0378-4371(02)01508-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710201508X
    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/S0378-4371(02)01508-X?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.

    References listed on IDEAS

    as
    1. Ferer, M. & Sams, W.N. & Geisbrecht, R.A. & Smith, Duane H., 1991. "Scaling of fractal flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 273-280.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Stevenson, Kristen & Ferer, Martin & Bromhal, Grant S. & Gump, Jared & Wilder, Joseph & Smith, Duane H., 2006. "2-D network model simulations of miscible two-phase flow displacements in porous media: Effects of heterogeneity and viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 7-24.
    2. Stevenson, Kristen & Bromhal, Grant S. & Ferer, Martin & Wilder, Joseph & Smith, Duane H., 2004. "Miscible, vertical network model 2-D simulations of two-phase flow displacements in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 317-334.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:319:y:2003:i:c:p:11-35. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.