IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i09ns0218348x23501311.html
   My bibliography  Save this article

Predicting The Electrical Conductivity Of Dual-Porosity Media With Fractal Theory

Author

Listed:
  • HUAIZHI ZHU

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • JUN GAO

    (��School of Mechanical and Electrical Engineering, Wuhan Business University, Wuhan 430056, P. R. China)

  • BOQI XIAO

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China‡Hubei Provincial Key Laboratory of Chemical Equipment Intensification and Intrinsic Safety, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China§Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • YIDAN ZHANG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • YANBIN WANG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • PEILONG WANG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • BILIANG TU

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

  • GONGBO LONG

    (School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China‡Hubei Provincial Key Laboratory of Chemical Equipment Intensification and Intrinsic Safety, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China§Hubei Provincial Engineering Technology Research Center of Green Chemical Equipment, School of Mechanical and Electrical Engineering, Wuhan Institute of Technology, Wuhan 430205, P. R. China)

Abstract

The microspatial structure of porous media affects the electrical properties of reservoir rocks significantly. In this work, a dual-porosity model is established to investigate the electrical properties of porous media, in which tree-like networks and capillary channels represent fractures and pores. By using fractal theory, we established an analytical equation for the conductivity of water-saturated dual-porosity media. The analytical equation, devoid of any empirical constants, expresses the electrical properties of the porous media as a function of some structural parameters (Dg, Df, Dτ, α, β, m, N, 𠜃, ∂, Γ, l0, d0). We also examine the impact of various matrix structural parameters on conductivity. It is found that increasing the length of mother channel (l0), length ratio (α), the number of branching layers (m), and tortuosity fractal dimension (Dτ) leads to a decrease in conductivity, whereas increasing the diameter of mother channel (d0), diameter ratio (β), the cross-sectional porosity (φg, φf), and the channel bifurcation number (N) enhances conductivity. Furthermore, we validated this analytical model by comparing it with the experimental data available, and the results demonstrate good agreement. This research has proposed an advanced conductivity model that enables us to better understand the underlying physical mechanisms of the electrical properties in porous media.

Suggested Citation

  • Huaizhi Zhu & Jun Gao & Boqi Xiao & Yidan Zhang & Yanbin Wang & Peilong Wang & Biliang Tu & Gongbo Long, 2023. "Predicting The Electrical Conductivity Of Dual-Porosity Media With Fractal Theory," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(09), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501311
    DOI: 10.1142/S0218348X23501311
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23501311
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23501311?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.

    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:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501311. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.