基于蒙特卡洛的电子雷管延期误差对隧道爆破振动影响研究

Effects of delay error of electronic detonator on tunnel blasting vibration based on Monte Carlo method

复杂环境下城区隧道爆破对振速要求严苛。为研究电子雷管延期误差对多孔延时爆破叠加振动的影响,以重庆市北大道隧道为背景,基于Anderson理论计算多孔爆破叠加最大振速,首先探讨考虑各段电子雷管延期误差的必要性,采用蒙特卡罗法和遍历法,设计计算程序,分析研究不同延时、不同孔数和不同延期精度下电子雷管延期误差对爆破叠加振速的影响规律。研究结果表明,在考虑电子雷管±1 ms延期误差时,各延时的叠加最大振速几乎均有增大。延期误差对较小延时的影响显著,当考虑延期误差时,较小的延时(<20 ms)叠加振速全部超标,而较大的延时(>20 ms)存在部分延时的叠加振速未超标。掏槽孔数主要影响延期误差对较小延时的叠加振速,随着掏槽孔数的增加,4 ms、5 ms延时有无延期误差的叠加最大振速差值增大。电子雷管延期精度与叠加最大振速近似成线性关系,电子雷管延期精度对较小延时的影响更为显著。研究结果可为工程实践中的电子雷管参数设计和振动控制提供参考。

Blasting of urban tunnels in complex environment requires strict vibration velocity.Here,to study effects of delay error of electronic detonator on superimposed vibration of multi-hole delay blasting,taking Beida road tunnel of Chongqing city as the background,the superimposed maximum vibration velocity of multi-hole blasting was calculated based on Anderson theory.Firstly,the necessity of considering delay errors of various segments of electronic detonator was explored.Using Monte Carlo method and ergodic method,the calculation program was designed to analyze and study effects of delay errors of electronic detonator under different time delays,different holes and different delay accuracies on blasting superimposed vibration velocity.The study results showed that when considering±1 ms delay error of electronic detonator,superimposed maximum vibration velocities of various delays almost all increase;delay error has a significant impact on smaller delays;when considering delay error,all superimposed vibration velocities of smaller delays(<20 ms)exceed the standard,while during larger delays(>20 ms),superimposed vibration velocities of part delays do not exceed the standard;number of cutting holes mainly has an impact on effects of delay error on superimposed vibration velocity of smaller delays,with increase in number of cutting holes,difference between superimposed maximum vibration velocities of 4 ms and 5 ms delays with and without delay errors increases;delay accuracy of electronic detonator is approximately linearly related to superimposed maximum vibration velocity,and it has a more significant impact on smaller delays;the study results can provide a reference for parametric design and vibration control of electronic detonator in engineering practice.