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Surface Dynamic Damage Prediction Model of Horizontal Coal Seam Based on the Idea of Wave Lossless Propagation

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  • Weitao Yan

    (School of Surveying and Land Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China
    State Collaborative Innovation Center of Coal Work Safety and Clean-Efficiency Utilization, Henan Polytechnic University, Jiaozuo 454003, China)

  • Junjie Chen

    (State Collaborative Innovation Center of Coal Work Safety and Clean-Efficiency Utilization, Henan Polytechnic University, Jiaozuo 454003, China)

  • Yi Tan

    (State Collaborative Innovation Center of Coal Work Safety and Clean-Efficiency Utilization, Henan Polytechnic University, Jiaozuo 454003, China)

  • Rong He

    (School of Surveying and Land Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China)

  • Shaoge Yan

    (School of Surveying and Land Information Engineering, Henan Polytechnic University, Jiaozuo 454003, China)

Abstract

According to traditional concepts, the movement of overlying strata and surface damage caused by coal mining in horizontal coal seams are symmetrical in terms of spatial distribution. However, in a lot of engineering practices, this symmetry has not been discovered. We often use the symmetry function to establish the profile prediction function of the surface damage, which results in a large difference between the prediction result and the actual situation. To solve this problem, this paper takes subsidence velocity as an example. Firstly, the spatial distribution functions of subsidence velocity on both sides were deduced theoretically. Through comparison, it is found that the change rate of the spatial distribution curve of the coal pillar side subsidence velocity is smoother than that of the goaf side and the subsidence velocity curves are skewed to the left. Secondly, based on the idea of lossless propagation of harmonic waves and idealizing the propagation environment, the spatial propagation relationship of surface subsidence velocity in the time domain is established. Then, the Box–Cox transform function is introduced to improve the normal distribution probability density function, and a new dynamic subsidence prediction model based on the Box–Cox transformation is obtained, which is suitable for the full mining stage. The model is tested by practical cases, the prediction accuracy is better than 7%, and the prediction results can meet the needs of engineering prediction accuracy (10%). The results of this research can enrich the existing subsidence prediction theory and provide theoretical and technical support for the prediction of dynamic surface damage caused by similar mining.

Suggested Citation

  • Weitao Yan & Junjie Chen & Yi Tan & Rong He & Shaoge Yan, 2022. "Surface Dynamic Damage Prediction Model of Horizontal Coal Seam Based on the Idea of Wave Lossless Propagation," IJERPH, MDPI, vol. 19(11), pages 1-15, June.
    • Handle: RePEc:gam:jijerp:v:19:y:2022:i:11:p:6862-:d:831255
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    References listed on IDEAS

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    1. Lei Nie & Hongfei Wang & Yan Xu & Zechuang Li, 2015. "A new prediction model for mining subsidence deformation: the arc tangent function model," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 75(3), pages 2185-2198, February.
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