高陡边坡深孔台阶电子雷管微差爆破振动衰减规律及控制技术

Vibration Attenuation Law and Control Technology for High-Steep Slope Deep-Hole Bench Blasting with Millisecond Delay using Electronic Detonator

  • 摘要: 电子雷管起爆体系下,高陡边坡台阶常采用深孔逐孔微差爆破控制振动,由于逐孔起爆各炮孔间应力波相互叠加,利用萨道夫斯基公式预测爆破振动峰值时,最大单段药量无法确定。为此,本文提出一种适用于电子雷管逐孔微差爆破的等效单段药量计算方法,用于预测爆破质点振动峰值以及分析振动沿高陡边坡的衰减规律。首先通过单孔爆破试验采集振动波形以标定场地特征参数,进而构建基于等效爆源与固定衰减参数的等效药量拟合模型,将多孔振动叠加问题转化为等效单孔振动问题,利用能量峰值法从物理机制上验证等效药量的合理性。依托重庆乌江白马航电枢纽高陡边坡开挖工程开展现场试验,结果表明:该方法对不同规模(7孔至152孔)的逐孔微差爆破适用性良好,拟合度大于0.85,平均误差低于20%。同时,揭示了孔间延时对等效药量与降振效果的影响规律,确定了依托工程等效药量最小、降振效果最优的孔间延时为20 ms。本研究为电子雷管逐孔微差爆破的振动规律分析与延时参数优化提供了理论依据和实践参考。

     

    Abstract: In the excavation of high-steep slopes, deep-hole bench blasting is a widely adopted technique. To mitigate the hazards of blasting vibration on slope stability and the surrounding environment, the use of electronic detonators for hole-by-hole millisecond initiation has become a critical process. However, under this initiation mode, stress waves generated from sequentially detonated blast holes, due to millisecond delays, undergo complex temporal and spatial superposition and interference. This complexity makes it difficult to define the maximum charge per delay—a core parameter in the traditional Sadovsky formula for blasting vibration prediction—thereby severely compromising the accuracy of peak particle velocity (PPV) forecasting and attenuation law analysis. To address this challenge, this paper proposes a systematic method for calculating the equivalent charge per delay and an analytical framework for vibration attenuation specifically tailored to electronic detonator hole-by-hole millisecond blasting conditions. The methodology begins with specialized single-hole blasting tests at the target site to accurately collect vibration waveform data. This data is used for regression analysis to calibrate the fundamental attenuation parameters of the Sadovsky formula, which reflect the local lithology and topographic characteristics. Subsequently, the overall vibration effect of a multi-hole, hole-by-hole blast is conceptually transformed into a virtual single-hole blasting problem. This virtual blast originates from a weighted average blast center and is characterized by a specific charge. Through nonlinear fitting algorithms, the global site coefficient and the unique equivalent charge per delay for that specific blast event are simultaneously derived. To verify the physical rationality of this equivalent charge, this study further introduces the Hilbert-Huang Transform (HHT) time-frequency analysis method. By calculating the instantaneous energy distribution of the vibration waveform, the method identifies the actual number of blast holes contributing to energy superposition during the main vibration period. This yields an energy-peak-based equivalent charge, enabling mutual verification from both waveform fitting and energy mechanism perspectives. To validate the reliability and universality of the proposed method, field tests were conducted on the high-steep slope excavation project at the Chongqing Wujiang Baima Navigation-Power Junction. Blasting schemes with varying hole numbers and scales were designed. The results demonstrate that the vibration attenuation model, fitted based on the equivalent blast source and fixed attenuation parameters, shows good applicability for hole-by-hole millisecond blasts of different scales, ranging from as small as 7 holes to as large as 152 holes. The goodness-of-fit (R2) between predicted curves and measured data exceeded 0.85, and the average prediction error was controlled within 20%, meeting engineering accuracy requirements. Verification via the energy peak method showed a high degree of agreement between its calculated equivalent charge and the model-fitted value, physically confirming the model's validity. Furthermore, comparative analysis of blasting effects under different inter-hole delays (10 ms, 15 ms, 20 ms, 35 ms) clearly revealed the significant influence of delay parameters on the equivalent charge and vibration reduction effectiveness. Under the specific geological conditions of this project, an inter-hole delay of 20 ms resulted in the minimum equivalent charge and the optimal vibration reduction effect. This study provides a theoretical basis and practical reference for vibration law analysis and delay parameter optimization in electronic detonator hole-by-hole millisecond blasting.

     

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