考虑自由面参数影响的地铁隧道爆破振速预测公式优化研究

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摘要预测地铁隧道爆破施工产生的振动速度，大多采用萨道夫斯基公式进行计算，很难反映岩体爆破中自由面的影响。然而，在隧道爆破过程中，岩石的自由面面积及自由面数量都会影响爆破地震波的传播，导致振速发生变化。为进一步研究自由面对爆破振速的影响，在萨道夫斯基公式的基础上，引入自由表面积Sr、自由面数量系数k和自由表面指数β来表征自由面对爆破振速的影响，并采用统计学t分布进行优化，建立隧道爆破地表振速改进预测公式。以重庆地铁18号线富歇区间隧道工程为依托，开展爆破振动测试，将改进公式与原公式对实测振速的拟合结果对比分析，验证了改进公式的正确性。通过数值模拟建立了三种自由面参数不同工况下的隧道爆破模型，根据改进公式预测结果的各项误差评价指标，可知和方差SSE由3.19×10-5下降为1.29×10-5，均方根误差RMSE由1.56×10-3下降为9.96×10-4，决定系数R-square由0.887上升为0.956，调整决定系数Adjusted R-square由0.882上升为0.954，证明了改进公式具有更高的预测精度。研究成果可为类似隧道爆破工程提供一定的理论依据。

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	闵鹏1
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	谢俊3
	申玉生1
	常铭宇1
	董俊3
	陈孔福1

关键词 ：地铁隧道, 爆破振动, 自由面, t分布, 振速预测

Abstract：Most of the vibration velocity of subway tunnel blasting was calculated by the Sadovski formula, which is difficult to reflect the influence of free surface in rock blasting. However, in the process of tunnel blasting, both the free surface area and the number of free surface of rock affected the propagation of blasting seismic wave, resulting in the change of vibration velocity. In order to further study the influence of free face on blasting vibration velocity, free surface area Sr, free surface area coefficient k and free surface index β were introduced to represent the influence of free face on blasting vibration velocity on the basis of Sadovski formula, and the formula was optimized by t distribution. An improved prediction formula of tunnel blasting vibration velocity was established. Based on the Fuxie tunnel project of Chongqing Metro Line 18, the blasting vibration test was carried out, and the fitting results of the modified formula and the original formula to the measured vibration velocity were compared and analyzed to verify the correctness of the improved formula. Three tunnel blasting models are established by numerical simulation under different conditions of free surface parameters. According to the error evaluation indexes predicted by the improved formula, SSE decreases from 3.19×10-5 to 1.29×10-5, RMSE decreases from 1.56×10-3 to 9.96×10-4, R-Square increases from 0.887 to 0.956, Adjusted R-Square increases from 0.882 to 0.954, which proves that the improved formula has higher prediction accuracy. The research results can provide some theoretical basis for similar tunnel blasting projects.

Key words： subway tunnel blasting vibration free surface t distribution vibration velocity prediction

收稿日期: 2022-07-14 出版日期: 2023-11-15

引用本文:

闵鹏1,2，谢俊3，申玉生1，常铭宇1，董俊3，陈孔福1. 考虑自由面参数影响的地铁隧道爆破振速预测公式优化研究[J]. 振动与冲击, 2023, 42(21): 245-253.
MIN Peng1,2, XIE Jun3, SHEN Yusheng1, CHANG Mingyu1, DONG Jun3, CHEN Kongfu1. Optimization of prediction formula for blasting vibration velocity of subway tunnels considering effects of free surface parameters. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(21): 245-253.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I21/245

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