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Quantitative Analysis of Infrared Thermal Images in Rock Fractures Based on Multi-Fractal Theory

Author

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  • Bin Miao

    (School of Resources and Geosciences, China University of Mining and Technology, Xuzhou 221116, China)

  • Xinyu Wang

    (School of Safety Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Hongru Li

    (Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China)

Abstract

Rock disasters caused by rock fractures seriously threaten the safe and sustainable mining of deep coal resources. The infrared thermal imaging of rock fractures has a non-uniform distribution. This is important information for the monitoring and early warning of rock mass instability. In this paper, the multi-fractal theory was introduced to analyze the infrared thermal image obtained from the uniaxial loading of sandstone, which is expected to provide quantitative indicators for the infrared monitoring of rock failure. The results show that the multi-fractal parameters Δ α (non-uniformity of temperature) and Δ f (frequency diversity of minimum and maximum temperature) can be used to describe the distribution of the thermal field; they are sensitive to the rock macro fracture. Both Δ α and Δ f are constant during the initial loading stage. When the samples yield and there is a failure in the later stage of loading, the Δ α and Δ f change abruptly. The sudden change in Δ α and Δ f can be regarded as the precursor to rock failure. The research results preliminarily show the feasibility and potential of multi-fractal analysis in rock mass disaster monitoring and early warning.

Suggested Citation

  • Bin Miao & Xinyu Wang & Hongru Li, 2022. "Quantitative Analysis of Infrared Thermal Images in Rock Fractures Based on Multi-Fractal Theory," Sustainability, MDPI, vol. 14(11), pages 1-11, May.
  • Handle: RePEc:gam:jsusta:v:14:y:2022:i:11:p:6543-:d:825372
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    References listed on IDEAS

    as
    1. Junjun Feng & Enyuan Wang & Qisong Huang & Houcheng Ding & Long Dang, 2021. "Time-Varying Multifractal Analysis Of Crack Propagation And Internal Fracture Process Of Coal Under Dynamic Loading," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-24, June.
    2. Hongru Li & Rongxi Shen & Dexing Li & Haishan Jia & Taixun Li & Tongqing Chen & Zhenhai Hou, 2019. "Acoustic Emission Multi-Parameter Analysis of Dry and Saturated Sandstone with Cracks under Uniaxial Compression," Energies, MDPI, vol. 12(10), pages 1-18, May.
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