Influence of delay time between holes on the time-frequency characteristics of blast vibration propagation based on Monte Carlo method

LI Hongchao; ZHANG Qipeng¹; HAN Haoxuan¹; SHI Yulian; SHEN Chengxing¹; ZHANG Mei; LONG Yue

doi:10.11883/bzycj-2025-0295

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LI Hongchao, ZHANG Qipeng¹, HAN Haoxuan¹, SHI Yulian, SHEN Chengxing¹, ZHANG Mei, LONG Yue. Influence of delay time between holes on the time-frequency characteristics of blast vibration propagation based on Monte Carlo method[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0295

Citation:

LI Hongchao, ZHANG Qipeng¹, HAN Haoxuan¹, SHI Yulian, SHEN Chengxing¹, ZHANG Mei, LONG Yue. Influence of delay time between holes on the time-frequency characteristics of blast vibration propagation based on Monte Carlo method[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0295

Citation:

LI Hongchao, ZHANG Qipeng¹, HAN Haoxuan¹, SHI Yulian, SHEN Chengxing¹, ZHANG Mei, LONG Yue. Influence of delay time between holes on the time-frequency characteristics of blast vibration propagation based on Monte Carlo method[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2025-0295

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Influence of delay time between holes on the time-frequency characteristics of blast vibration propagation based on Monte Carlo method

doi: 10.11883/bzycj-2025-0295

1.
School of Public Safety and Emergency Management, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
2.
Kunming University of Science and Technology Urban College, Kunming 650051, Yunnan, China
3.
Yunnan Provincial Department of Education Engineering Research Centre for New Blasting Technologies, Kunming 650093, Yunnan, China
4.
School of Land Resources Engineering, Kunming University of Science and Technology, Kunming 650093, Yunnan, China
5.
Xuanhua Vocational College of Science and Technology, Zhangjiakou 075100, Hebei, China
6.
Jiangxi Copper Group Yinshan Mining Co., Ltd., Dexing 334202, Jiangxi

Received Date: 2025-09-09
Rev Recd Date: 2025-11-18

Available Online: 2025-11-18

Abstract

Abstract

To investigate the influence of inter-hole delay on the intensity and frequency characteristics of blasting vibrations, an effective simulation of single-hole blasting vibration waveforms was achieved based on a single-hole blasting vibration prediction model. Subsequently, incorporating Blair's nonlinear superposition theory, a group-hole blasting vibration prediction model was constructed that can reflect the nonlinear vibration relationship between holes. Using a copper mine in Jiangxi Province as the engineering context, the constrained-traversal algorithm was employed to optimize the parameters of the single-hole prediction model. The simulated waveform output by this model exhibits a peak velocity error of 0.7% compared to the measured single-hole waveform, with identical predictions for the dominant frequency. The peak velocity error between the simulated waveform output by the group-hole blast vibration prediction model and the measured group-hole waveform is 3.9%, with the dominant frequency prediction being completely consistent. This fully validates the effectiveness of both the single-hole and group-hole blast vibration prediction models. Based on dual-hole blasting vibration experiments, employing Monte Carlo methodology, the model generated 1000 sets of single-hole simulated waveforms. From these, 500 sets of dual-hole blasting vibration waveform characteristics (peak velocity, dominant frequency, and energy distribution across frequency bands) were extracted to construct a sample set. Subsequently, statistical analysis was conducted on the damping rate, dominant frequency, and energy distribution across frequency bands for the superimposed vibration waves of dual-hole blasts at different delay times and blast center distances, using the upper limit of the 95% confidence interval and the mean value. Results indicate that at the same blast center distance, as the delay time increases, the damping rate first increases and then stabilizes. At the same time the dominant frequency gradually decreases, with high-frequency energy progressively shifting toward low-frequency energy. At different blast centers, as the blast center distance increases, the damping rate generally decreases across various delay times. The dominant frequency shifts toward lower frequencies, resulting in an overall increase in low-frequency energy and an overall decrease in high-frequency energy. The Monte Carlo method, based on extensive simulations and statistical analysis, not only reveals the random characteristics of blasting vibration signals but also enables quantitative analysis of their time-domain and frequency-domain features, holding significant theoretical and engineering value.

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