IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v29y2021i07ns0218348x21501875.html
   My bibliography  Save this article

A New Fractal Model Of Coal Permeability Based On The Increasing Fractal Construction Method Of The Menger Sponge

Author

Listed:
  • ZHEN LIU

    (College of Safety and Environmental Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Huangdao District, Qingdao 266590, P. R. China†State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China)

  • RAORAO LI

    (College of Safety and Environmental Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Huangdao District, Qingdao 266590, P. R. China†State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China)

  • HE YANG

    (College of Safety and Environmental Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Huangdao District, Qingdao 266590, P. R. China†State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China)

  • FUCHAO TIAN

    (��State Key Laboratory of Coal Mine Safety Technology, Shenyang Research Institute, CCTEG, Fushun, Liaoning 113122, P. R. China§China Coal Research Institute, Beijing 100013, P. R. China)

  • DANLIANG ZHU

    (College of Safety and Environmental Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Huangdao District, Qingdao 266590, P. R. China†State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, P. R. China)

Abstract

The permeability of coal seams directly determines the disaster prevention effect of water injection. It is of great significance to realize the accurate fractal expression of coal structure and construct a fractal permeability model for elucidating the dynamic evolution law of the permeability of coal during and after water injection. Therefore, a rough Menger sponge is used as the physical model to characterize the structure of the coal in this paper. Combined with the structure fractal dimension calculated by the increasing fractal construction method, a new fractal permeability model is established to describe the seepage process of water injection. The influence of the tortuosity and roughness of the pore surfaces on the seepage characteristics is discussed, and the theoretical permeability is compared with the results of NMR experiments and existing models. The volume fractal dimension obtained by calculation is between 2.74 and 2.77, which decreases with increasing confining pressure and increases with increasing pore water pressure. The research shows that the fractal dimensions of the pore structure and volume can quantitatively describe the specific surface area of porous medium and are directly proportional to the specific surface area. With the increase in the structure fractal dimension, the fluid flow resistance increases, and the theoretical permeability decreases. The results of the permeability comparison show that the variation law of the theoretical permeability is consistent with that of the liquid permeability and that the theoretical result is closer to the measured value because the tortuosity and roughness of the seepage channel surfaces is further considered in the model. The theoretical model provides reliable theoretical support for further perfecting seepage theory of porous media and improving the effect of coal seam water injection.

Suggested Citation

  • Zhen Liu & Raorao Li & He Yang & Fuchao Tian & Danliang Zhu, 2021. "A New Fractal Model Of Coal Permeability Based On The Increasing Fractal Construction Method Of The Menger Sponge," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-13, November.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:07:n:s0218348x21501875
    DOI: 10.1142/S0218348X21501875
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X21501875
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X21501875?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. Zhen Liu & Qingbo Gu & He Yang & Jiangwei Liu & Guoliang Luan & Peng Hu & Zehan Yu, 2023. "Gas–Water Two-Phase Displacement Mechanism in Coal Fractal Structures Based on a Low-Field Nuclear Magnetic Resonance Experiment," Sustainability, MDPI, vol. 15(21), pages 1-18, October.
    2. Zhen Liu & Peng Hu & He Yang & Wenzhi Yang & Qingbo Gu, 2022. "Coupling Mechanism of Coal Body Stress–Seepage around a Water Injection Borehole," Sustainability, MDPI, vol. 14(15), pages 1-21, August.

    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:29:y:2021:i:07:n:s0218348x21501875. 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.