考虑岩体抗拉强度的爆破振动速度衰减多元非线性模型

为了准确地预测爆破振动速度峰值,减少爆破振动灾害事故的发生,分析了两种典型的爆破振动速度峰值预测公式的不足。在此基础上,探讨城市深孔爆破中振动速度衰减与岩体抗拉强度在群孔效应条件下的关系。通过分析爆破振动速度衰减的影响因素,提取8个主要因素的量纲,由量纲理论推导出考虑岩体抗拉强度的爆破振动速度衰减多元非线性数学模型,并结合具体工程监测数据,使用1st0pt软件进行了非线性回归分析。研究表明:推导出的改进萨道夫斯基(萨氏)公式在3个场地预测值的平均相对误差分别为2.81%、10.56%、4.42%,均低于传统预测公式的平均相对误差,验证了所推导数学模型的正确性。可为爆破振动灾害防治研究提供参考。

Multivariate Nonlinear Model of Blasting Vibration Velocity Attenuation Considering the Tensile Strength of Rock Mass

The imperfection of two typical formulas for predicting the peak velocity of blasting vibration were analyzed and compared in order to get the accurate results to prevent the occurrence of blasting vibration disasters and accidents. Relationship between vibration velocity attenuation and rock tensile strength in urban blasting under the effect of group holes was discussed. The dimensions of 8 main influencing factors, extracted through blasting vibration velocity attenuation analysis, were used to derive the multivariate nonlinear mathematical model of blasting vibration velocity attenuation considering the tensile strength of rock mass. Combined with the monitoring data, nonlinear regression analysis was carried out using the software of 1st0pt. Results show that the average relative error of the predicted value by the improved formula are 2.81%, 10.56% and 4.42% respectively at three sites, which are lower than these by the traditional prediction formula. This verifys the correctness of the derived mathematical model and its reliability as a reference for the study of blasting vibration disaster prevention.