IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i6p1085-d215852.html
   My bibliography  Save this article

The Percolation Properties of Electrical Conductivity and Permeability for Fractal Porous Media

Author

Listed:
  • He Meng

    (State Key Lab of Marine Geology, Tongji University, Shanghai 200092, China
    College of Earth and Mineral Sciences, The Pennsylvania State University, University Park, PA 16802, USA)

  • Qiang Shi

    (Research Institute of Petroleum Exploration and Development, PetroChina, Langfang 065007, China)

  • Tangyan Liu

    (State Key Lab of Marine Geology, Tongji University, Shanghai 200092, China)

  • FengXin Liu

    (Research Institute of Petroleum Exploration and Development, PetroChina, Langfang 065007, China)

  • Peng Chen

    (Research Institute of Petroleum Exploration and Development, PetroChina, Langfang 065007, China)

Abstract

Many cases have indicated that the conductivity and permeability of porous media may decrease to zero at a nonzero percolation porosity instead of zero porosity. However, there is still a lack of a theoretical basis for the percolation mechanisms of the conductivity and permeability. In this paper, the analytical percolation expressions of both conductivity and permeability are derived based on fractal theory by introducing the critical porosity. The percolation models of the conductivity and permeability were found to be closely related to the critical porosity and microstructural parameters. The simulation results demonstrated that the existence of the critical could lead to the non-Archie phenomenon. Meanwhile, the increasing critical porosity could significantly decrease the permeability and the conductivity at low porosity. Besides, the complex microstructure could result in more stagnant pores and a higher critical porosity. This study proves the importance of the critical porosity in accurately evaluating the conductivity and permeability, and reveals the percolation mechanisms of the conductivity and permeability in complex reservoirs. By comparing the predicted conductivity and permeability with the available experimental data, the validity of the proposed percolation models is verified.

Suggested Citation

  • He Meng & Qiang Shi & Tangyan Liu & FengXin Liu & Peng Chen, 2019. "The Percolation Properties of Electrical Conductivity and Permeability for Fractal Porous Media," Energies, MDPI, vol. 12(6), pages 1-15, March.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:6:p:1085-:d:215852
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/6/1085/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/6/1085/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Chen Zhan & Wenzhi Cui & Longjian Li, 2022. "A Fractal Model of Effective Thermal Conductivity of Porous Materials Considering Tortuosity," Energies, MDPI, vol. 16(1), pages 1-16, December.
    2. Mehrdad Massoudi, 2020. "Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications," Energies, MDPI, vol. 13(6), pages 1-4, March.

    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:gam:jeners:v:12:y:2019:i:6:p:1085-:d:215852. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.