IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v194y1993i1p406-414.html
   My bibliography  Save this article

Local porosity theory for electrical and hydrodynamical transport through porous media

Author

Listed:
  • Hilfer, R.

Abstract

The current status of local porosity theory for transport in porous media is briefly reviewed. Local porosity theory provides a simple and general method for the geometric characterization of stochastic geometries with correlated disorder. Combining this geometric characterization with effective medium theory allows for the first time to understand a large variety of electrical and hydrodynamical flow experiments on porous rocks from a single unified theoretical framework. Rather than reproducing or rephrasing the original results the present review attempts instead to place local porosity theory within the context of other current developments in theory and experiment.

Suggested Citation

  • Hilfer, R., 1993. "Local porosity theory for electrical and hydrodynamical transport through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 406-414.
  • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:406-414
    DOI: 10.1016/0378-4371(93)90372-B
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719390372B
    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/10.1016/0378-4371(93)90372-B?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. Boger, F. & Feder, J. & Jøssang, T. & Hilfer, R., 1992. "Microstructural sensitivity of local porosity distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 55-70.
    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. Hilfer, R. & Rage, T. & Virgin, B., 1997. "Local percolation probabilities for a natural sandstone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 105-110.
    2. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    3. Hilfer, R. & Nøst, B. & Haslund, E. & Kautzsch, Th. & Virgin, B. & Hansen, B.D., 1994. "Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 19-27.
    4. Biswal, B. & Manwart, C. & Hilfer, R. & Bakke, S. & Øren, P.E., 1999. "Quantitative analysis of experimental and synthetic microstructures for sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 452-475.
    5. Widjajakusuma, J & Manwart, C & Biswal, B & Hilfer, R, 1999. "Exact and approximate calculations for the conductivity of sandstones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 325-331.
    6. Andraud, C. & Beghdadi, A. & Haslund, E. & Hilfer, R. & Lafait, J. & Virgin, B., 1997. "Local entropy characterization of correlated random microstructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 307-318.

    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.
    1. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    2. Andraud, C. & Lafait, J. & Beghdadi, A. & Peiro, J., 1997. "Experimental validation on granular metallic films of an optical model based on the entropic analysis of their morphology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 133-137.
    3. Widjajakusuma, J & Manwart, C & Biswal, B & Hilfer, R, 1999. "Exact and approximate calculations for the conductivity of sandstones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 325-331.
    4. Hilfer, R. & Rage, T. & Virgin, B., 1997. "Local percolation probabilities for a natural sandstone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 105-110.
    5. Hilfer, R. & Nøst, B. & Haslund, E. & Kautzsch, Th. & Virgin, B. & Hansen, B.D., 1994. "Local porosity theory for the frequency dependent dielectric function of porous rocks and polymer blends," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(1), pages 19-27.
    6. Biswal, B. & Manwart, C. & Hilfer, R. & Bakke, S. & Øren, P.E., 1999. "Quantitative analysis of experimental and synthetic microstructures for sedimentary rock," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 452-475.
    7. Andraud, C. & Beghdadi, A. & Haslund, E. & Hilfer, R. & Lafait, J. & Virgin, B., 1997. "Local entropy characterization of correlated random microstructures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 307-318.
    8. Virgin, B. & Haslund, E. & Hilfer, R., 1996. "Rescaling relations between two-and three-dimensional local porosity distributions for natural and artificial porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 1-20.
    9. Piasecki, R., 2000. "Entropic measure of spatial disorder for systems of finite-sized objects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 157-173.

    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:194:y:1993:i:1:p:406-414. 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.