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<p>Blasting vibration waves are non-stationary with varying amplitude and frequency. To develop a single-hole blasting vibration prediction model that can reflect this stochastic characteristic, the frequency function is generated through Gaussian white noise entering a linear filter, the non-stationarity of the vibration frequency is described the angular frequency that is a function of time and the non-stationarity of the vibration amplitude is described by the gamma function where the signal has been filtered to improve the simulation accuracy. The frequency parameters (<i>η, γ</i>) of the model are determined based on the constraint that the frequency of the predicted wave and the monitored blasting wave in the field test are consistent, and the frequency parameter (<i>ξ</i>) is determined based on the linear relationship between the damping ratio and the irregularity index. The amplitude parameters of the model (<i>I</i><sub>0</sub><i>, α, β</i>) are determined under the constraint of minimizing the amplitude difference between the monitored and the simulated waves. The peak vibration velocity and dominant frequency of the predicted wave are in good agreement with the monitored wave, which verifies the validity of the single hole blasting vibration prediction model developed. Six regression equations are developed between the six model parameters and blasthole charge of explosive (<i>Q</i>), blasting center distance (<i>R</i>), and rock mass longitudinal wave velocity (<i>C</i><sub>p</sub>). The regression equations are verified by analyzing significance, unbiasedness, and the correlation between model parameters. Finally, the established single-hole prediction model function is substituted into the Anderson’s model to superpose the blasting vibration wave prediction model for a group of blastholes. The validity of the group blasthole model has verified through a 23 blasthole production blasting at an open pit mine where the predicted wave and the monitored wave align well in terms of peak vibration velocity and dormant frequency.</p>

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Development and Application of Blasting Vibration Prediction Model

  • 期刊论文

  • 发表日期：

    2025年3月21日

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  • Hongchao Li,
  • Haoxuan Han,
  • Shenglin Li,
  • Greg You,
  • Jun Fu,
  • Zhengrong Li,
  • Xiyao Wang

摘要

Blasting vibration waves are non-stationary with varying amplitude and frequency. To develop a single-hole blasting vibration prediction model that can reflect this stochastic characteristic, the frequency function is generated through Gaussian white noise entering a linear filter, the non-stationarity of the vibration frequency is described the angular frequency that is a function of time and the non-stationarity of the vibration amplitude is described by the gamma function where the signal has been filtered to improve the simulation accuracy. The frequency parameters (η, γ) of the model are determined based on the constraint that the frequency of the predicted wave and the monitored blasting wave in the field test are consistent, and the frequency parameter (ξ) is determined based on the linear relationship between the damping ratio and the irregularity index. The amplitude parameters of the model (I0, α, β) are determined under the constraint of minimizing the amplitude difference between the monitored and the simulated waves. The peak vibration velocity and dominant frequency of the predicted wave are in good agreement with the monitored wave, which verifies the validity of the single hole blasting vibration prediction model developed. Six regression equations are developed between the six model parameters and blasthole charge of explosive (Q), blasting center distance (R), and rock mass longitudinal wave velocity (Cp). The regression equations are verified by analyzing significance, unbiasedness, and the correlation between model parameters. Finally, the established single-hole prediction model function is substituted into the Anderson’s model to superpose the blasting vibration wave prediction model for a group of blastholes. The validity of the group blasthole model has verified through a 23 blasthole production blasting at an open pit mine where the predicted wave and the monitored wave align well in terms of peak vibration velocity and dormant frequency.