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Establishment of a Mathematical Model for Non-steady Heat Dissipation of Surrounding Rocks in Roadways and Its Main Influence Factors

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Abstract

The increase of mining depth of mines causes the rising temperature of surrounding rocks, especially the non-steady heat dissipation of surrounding rocks in roadways, which is influenced by multiple factors. By establishing a mathematical model for non-steady heat dissipation of surrounding rocks in mines, the main factors (including lithology of surrounding rocks, ventilation velocity, equivalent radius and ventilation time of roadway) influencing the wall temperature and heat dissipation capacity of surrounding rocks were determined. The relationship between wall temperature and surrounding rock heat dissipation with various influencing factors was analyzed. The research results show that it can be seen that under the influences of different lithology, equivalent radius and ventilation velocities, the wall temperature of surrounding rocks constantly declined, while the heat dissipation capacity of surrounding rocks rose at first and then decreased, with the prolongation of ventilation time. And there is a maximum value of heat dissipation in surrounding rock. By calculating the maximum of heat dissipation capacity of surrounding rocks, it can be seen that the values of wall temperature of surrounding rocks exhibited certain consistency, keeping in the range of 303–304 K.

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Acknowledgements

The authors gratefully acknowledge the assistance of Zhang Mingguang for enlightening discussions and critical reviews. This work was partially supported by National Natural Science Foundation of China (51774197).

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Authors and Affiliations

  1. College of Mining and Safety Engineering, Shandong University of Science and Technology, 579 Qianwangang Road, Huangdao District, Qingdao, 266590, Shandong Province, People’s Republic of China

    Long Zhang, Song Xin & Qi Zhang

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  1. Long Zhang
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  2. Song Xin
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  3. Qi Zhang
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Correspondence to Long Zhang.

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Zhang, L., Xin, S. & Zhang, Q. Establishment of a Mathematical Model for Non-steady Heat Dissipation of Surrounding Rocks in Roadways and Its Main Influence Factors. Geotech Geol Eng 37, 2513–2522 (2019). https://doi.org/10.1007/s10706-018-00773-1

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  • DOI: https://doi.org/10.1007/s10706-018-00773-1

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