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| Lyapunov index evaluation method for safety of metal mine subsidence area based on rock mass dynamic evolution model |
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Received:August 15, 2022
Revised:September 09, 2022
Accepted:September 13, 2022
Published Online:June 25, 2023
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| DOI： |
| KeyWord:Rock mass dynamics; Evolutionary model; Mine collapse; Safety Lyapunov index; |
| Author | Institution |
| 东秉正 |
Dulan Jinhui Mining co. LTD |
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| Abstract: |
| In the process of predicting the risk of ground collapse in mined out areas of metal mines, the collapse scale, characteristics and stability are complex, and the Lyapunov index evaluation error is large. Therefore, a Lyapunov index evaluation method for the safety of mined out areas of metal mines based on the dynamic evolution model of rock mass is designed. By analyzing the collapse process of the collapsed area, combining the relationship between the tensile stress in the roof and the collapse, the elastic energy of the rock mass and other environmental parameters in the collapsed area of the metal mine are obtained, and the numerical simulation is carried out by using the dynamic evolution model of the rock mass, which intuitively and quantitatively reveals the internal dynamic evolution process and dynamic characteristics of the collapsed area; Based on the chaotic time series of the collapse area, the reconstructed phase space is obtained. A straight line in the two-dimensional image is obtained according to the divergence index of the spectral orbit. The straight line is approximated by the least square method to obtain the specific value of the slope, which is the maximum Lyapunov exponent of the target. The comparison test results show that after the application of this method, the change trend of Lyapunov exponent of safety at each monitoring point is more consistent with the actual situation, and provides a new idea for safety analysis of metal mine collapse area. |
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