基于量纲分析的戈壁地区爆破振动衰减模型

为了建立预测精度较高的戈壁地区爆破振动衰减模型,首先在大量现场爆破振动监测的基础上回归得到了传统的萨道夫斯基公式；进一步通过分析与爆破效应相关的物理量,基于量纲分析法推导了可以反映柱状装药特征的成排深孔爆破振动速度预测公式；最后将推导得到的爆破振动速度预测公式与传统萨道夫斯基公式进行现场应用,验证本文爆破振动公式的准确性。研究结果表明,本文爆破振动公式在三个方向上(水平径向、水平切向和垂直向)的振动速度预测精度均高于萨道夫斯基公式,后者预测值的平均相对误差约为本文爆破振动公式的两倍。研究结果可为爆破振动的分析、预测以及安全评价提供参考依据。

Blasting vibration attenuation model of in Gobi region based on dimensional analysis

: In order to establish a blasting vibration attenuation model with high prediction accuracy in the Gobi area, the traditional Sadowski formula was first regressed on the basis of a large number of on-site blasting vibration monitoring. Secondly, the physical quantities related to the blasting effect were analyzed, and the prediction formula of the vibration velocity of the row deep hole blasting, which can reflect the characteristics of the columnar charge, was deduced based on the dimensional analysis method. Finally, the deduced blasting vibration velocity formula and Sadowsky formula were applied in the field to verify the accuracy of prediction results. The research results show that the vibration velocity prediction accuracy of the deduced blasting vibration formula in three directions (horizontal radial, horizontal tangential and vertical) is higher than that of Sadowski"s formula. The average relative error of the latter prediction value is about twice that of the deduced blasting vibration formula. The research results can provide reference for the analysis, prediction and safety evaluation of blasting vibration.