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An Analogical Method On Fractal Dimension For Three-Dimensional Fracture Tortuosity In Coal Based On Ct Scanning

Author

Listed:
  • GAOFENG LIU

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China†Collaborative Innovation Center of Coalbed Methane and Shale Gas for Central Plains Economic Region, Henan Province, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • ZHEN ZHANG

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • YUNXING CAO

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China†Collaborative Innovation Center of Coalbed Methane and Shale Gas for Central Plains Economic Region, Henan Province, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • XIAOMING WANG

    (��Key Laboratory of Tectonics and Petroleum Resources, China University of Geosciences, Wuhan, 430074, P. R. China)

  • HUAN LIU

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • BAOLIN LI

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • NIAN SI

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

  • WENBO GUAN

    (School of Resources and Environment, Henan Polytechnic University, Jiaozuo, 454003, P. R. China)

Abstract

In this work, we have given an analogical method for estimating the fractal dimension for three-dimensional fracture tortuosity (3D-FT). The comparison and error analysis of analogical and rigorous methods on fractal dimension for 3D-FT were carried out in this work. The fractal dimension DT−R for 3D-FT from the proposed analogical method is the function of 3D fracture average tortuosity (τav) and average fracture length (Lav). The analogical method for estimating fractal dimension (DT−A) with high accuracy indicates good consistency with the rigorous method (DT−R). The fractal dimension (DT−R) from the rigorous method is the embodiment of the physical meaning of DT−R. The fractal dimension (DT−A) from the analogical method is relatively convenient for calculating the premise of ensuring accuracy.

Suggested Citation

  • Gaofeng Liu & Zhen Zhang & Yunxing Cao & Xiaoming Wang & Huan Liu & Baolin Li & Nian Si & Wenbo Guan, 2023. "An Analogical Method On Fractal Dimension For Three-Dimensional Fracture Tortuosity In Coal Based On Ct Scanning," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-8.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x2350072x
    DOI: 10.1142/S0218348X2350072X
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