AN ANALOGICAL METHOD ON FRACTAL DIMENSION FOR THREE-DIMENSIONAL FRACTURE TORTUOSITY IN COAL BASED ON CT SCANNING

Gaofeng Liu, Zhen Zhang, Yunxing Cao, Xiaoming Wang, Huan Liu, Baolin Li, Nian Si and Wenbo Guan
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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

FRACTALS (fractals), 2023, vol. 31, issue 07, 1-8

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.

Keywords: Fractal; 3D Fracture; Tortuosity; Analogical Method; Rigorous Method; Fracture Media (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X2350072X

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