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The Breaking Span of Thick and Hard Roof Based on the Thick Plate Theory and Strain Energy Distribution Characteristics of Coal Seam and Its Application

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  • Xiaolong Li
  • Changwu Liu
  • Yang Liu
  • Hui Xie

Abstract

In mining engineering, the thick and hard roof threatens the safe production. Based on Reissner plate theory and combined with weighted residual method, with four edges clamped as the boundary conditions, this paper deduces the theoretical formula of the first breaking span of thick and hard roof. Based on Vlasov plate theory, with four edges simply supported as the boundary conditions, this paper deduces the theoretical formula of the periodic breaking span of thick and hard roof. The two formulas are used to verify the breaking span of thick and hard roof of Tashan Coal Mine, proving that its accuracy is higher than that of traditional beam theory. This paper studies the distribution characteristics of strain energy density in front of the coal seam during the mining process by numerical simulation, which is compared with the results of field microseismic experiments. It is found that the strain energy density of the coal seam has a good correlation with the probability of microseismic events. This paper provides theoretical support for more precise calculation of breaking span of the thick and hard roof and technical support for the practical stability analysis of the surrounding rock under the thick and hard roof.

Suggested Citation

  • Xiaolong Li & Changwu Liu & Yang Liu & Hui Xie, 2017. "The Breaking Span of Thick and Hard Roof Based on the Thick Plate Theory and Strain Energy Distribution Characteristics of Coal Seam and Its Application," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-14, September.
    • Handle: RePEc:hin:jnlmpe:3629156
    DOI: 10.1155/2017/3629156
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    Cited by:

    1. Yafei Yuan & Guangli Guo & Cheng Huang & Yu Chen & Huaizhan Li & Hui Zheng & Yonghua Hu, 2024. "Breakage Patterns of High-Level Thick Weakly Cemented Overburden for Coal Safe and Sustainable Mining," Sustainability, MDPI, vol. 16(13), pages 1-16, July.
    2. Yaxing Li & Keming Yang & Xiangping Wei & Wei Tang & Kegui Jiang, 2024. "Quantitative Assessment of Bed-Separation Dynamic Development Caused by Inclined Coal Seam Longwall Mining," Mathematics, MDPI, vol. 12(13), pages 1-33, June.
    3. Guojian Zhang & Zhiyang Wang & Guangli Guo & Wei Wei & Fugang Wang & Leilei Zhong & Yaqiang Gong, 2022. "Study on Regional Strata Movement during Deep Mining of Erdos Coal Field and Its Control," IJERPH, MDPI, vol. 19(22), pages 1-32, November.

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