Amplification and attenuation effect of blasting vibration on step topography
-
摘要: 基于台阶地形爆破振动数值模拟与边坡振动监测实验,研究台阶地形爆破振动速度在传播过程中高程放大效应的产生及变化规律。结果表明,单个台阶坡顶质点的振动速度放大效应是在距爆源一定距离、达到一定高差的条件下产生的;坡顶质点振动速度放大倍数并不随台阶高度的增加而单调增加,在台阶高度超过某一临界值后,放大倍数随台阶高度的增加而减小。台阶高程对爆破振动速度既有放大作用,同时也随高度的增加产生衰减作用。根据模拟计算及现场观测数据分析结果,给出了台阶地形爆破振动速度预测模型,该模型为类似边坡工程的爆破地震波传播规律研究提供一定的参考。Abstract: The present study investigates the growth and variation of the amplification effect in the propagation of the blasting vibration velocity in step topography. The results indicate that the blast vibration elevation amplification effect on a single step occurs at a certain distance and elevation; the peak particle velocity magnification of the top of the slope doesn't increase monotonously with the increase of the elevation; and the magnification decreases when the elevation exceeds a certain critical value. The elevation exerts an effect of both amplification and attenuation on the blasting vibration velocity. According to the data analysis of the numerical simulation and the field experiment, a model of the blasting vibration velocity prediction on step topography was presented, providing reference for the research of blasting seismic wave propagation law in similar slope projects.
-
Key words:
- step topography /
- elevation difference /
- blasting vibration /
- amplification effect
-
表 1 岩石材料参数
Table 1. Material parameters of rock
岩石 岩石密度/(g·cm-3) 弹性模量/GPa 泊松比 切线模量/GPa 抗压强度/MPa 抗拉强度/MPa 闪长玢岩 2.54 57.64 0.27 5.5 56 4.49 表 2 炸药的材料和状态方程参数
Table 2. Material and equation of state parameters of explosive
密度/(g·cm-3) 爆速/(km·s-1) 爆压/GPa A/GPa B/GPa R1 R2 ω E/GPa 1.0 3 3.43 321.9 0.18 4.2 0.8 0.15 3.51 表 3 爆破振动观测结果
Table 3. Blasting vibration measurements
测点 最大单孔起爆药量/kg 水平距离/m 垂直距离/m 峰值振动速度/(cm·s-1) MP1 500 14.8 0.0 38.35 MP2 44.1 30.8 3.33 MP3 86.4 43.0 1.41 MP4 90.3 54.0 1.50 MP5 132.8 63.0 0.94 MP6 140.3 74.1 1.08 MP7 183.3 90.2 0.69 MP8 190.9 103.0 0.87 -
[1] 唐海, 李海波.反映高程放大效应的爆破振动公式研究[J].岩土力学, 2011, 32(3):820-824. doi: 10.3969/j.issn.1000-7598.2011.03.030Tang Hai, Li Haibo. Study of blasting vibration formula of reflecting amplification effect on elevation[J]. Rock and Soil Mechanics, 2011, 32(3):820-824. doi: 10.3969/j.issn.1000-7598.2011.03.030 [2] 朱传统, 刘宏根.地震波参数沿边坡坡面传播规律公式选择[J].爆破, 1988, 5(2):30-34. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000001125919Zhu Chuantong, Liu Honggen. Selection of formula on propagation of the parameters of explosive seismic wave along slope[J]. Blasting, 1988, 5(2):30-34. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK000001125919 [3] 王在泉, 陆文兴.高边坡爆破开挖震动传播规律及质量控制[J].爆破, 1994, 11(3):1-4. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199400163531Wang Zaiquan, Lu Wenxing. Propagation of blasting vibration and quality control of high slope in excavation by blast[J]. Blasting, 1994, 11(3):1-4. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199400163531 [4] 舒大强, 何蕴龙, 董振华.岩质高边坡开挖爆破震动荷载及其对边坡稳定性影响的研究[J].工程爆破, 1996, 2(4):39-43. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199600096035Shu Daqiang, He Yunlong, Dong Zhenhua. Research on vibration load from excavation blasting and its influence on stability of rock high-slope[J]. Engineering Blasting, 1996, 2(4):39-43. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199600096035 [5] 舒大强, 李小联, 占学军, 等.龙滩水电工程右岸高边坡开挖爆破震动观测与分析[J].爆破, 2002, 19(4):65-67. doi: 10.3963/j.issn.1001-487X.2002.04.026Shu Daqiang, Li Xiaolian, Zhan Xuejun, et al. Observation and analysis of blasting vibration on the right bank's high slope of Longtan hydropower project[J]. Blasting, 2002, 19(4):65-67. doi: 10.3963/j.issn.1001-487X.2002.04.026 [6] 吕淑然, 杨军.露天矿爆破地震效应与降震技术研究[J].有色金属, 2003, 55(3):30-32. http://d.old.wanfangdata.com.cn/Periodical/ysjs-ks200303012Lü Shuran, Yang Jun. Study on blasting seismic effect and anti-vibration technology in the open-pit mine[J]. Non-ferrous Metal, 2003, 55(3):30-32. http://d.old.wanfangdata.com.cn/Periodical/ysjs-ks200303012 [7] 万鹏鹏, 璩世杰, 许文耀, 等.台阶爆破质点振速的高程效应研究[J].爆破, 2015, 32(2):29-32. doi: 10.3963/j.issn.1001-487X.2015.02.005Wan Pengpeng, Qu Shijie, Xu Wenyao, et al. Study of elevation effect of bench blasting particle vibration velocity[J]. Blasting, 2015, 32(2):29-32. doi: 10.3963/j.issn.1001-487X.2015.02.005 [8] 张伟康, 谢永生, 吴顺川, 等.矿山边坡爆破振动高程放大效应研究[J].金属矿山, 2015, 44(3):68-71. http://d.old.wanfangdata.com.cn/Periodical/jsks201503015Zhang Weikang, Xie Yongsheng, Wu Shunchuan, et al. Research on elevation amplification effect of blasting vibration in mine slope[J]. Metal Mine, 2015, 44(3):68-71. http://d.old.wanfangdata.com.cn/Periodical/jsks201503015 [9] 胡光球, 璩世杰, 梁新民.高程放大效应对露天采场爆破震动衰减的影响研究[J].黄金, 2015, 36(7):28-32. http://d.old.wanfangdata.com.cn/Periodical/huangj201507007Hu Guangqiu, Qu Shijie, Liang Xinmin. Research on the influence of elevation amplification effect on open-pit blasting vibration attenuation[J]. Gold, 2015, 36(7):28-32. http://d.old.wanfangdata.com.cn/Periodical/huangj201507007 [10] 周同龄, 李玉寿.反映高程的爆破震动公式及其应用[J].江苏煤炭, 1997, 22(4):21-22. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199700305745Zhou Tongling, Li Yushou. Blasting vibration formula of reflecting amplification and application[J]. Jiangsu Coal, 1997, 22(4):21-22. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=QK199700305745 [11] 付波, 胡英国, 卢文波, 等.岩石高边坡爆破振动局部放大效应分析[J].爆破, 2014, 31(2):1-7. http://d.old.wanfangdata.com.cn/Periodical/bp201402001Fu Bo, Hu Yingguo, Lu Wenbo, et al. Local amplification effect of blasting vibration in high rock slope[J]. Blasting, 2014, 31(2):1-7. http://d.old.wanfangdata.com.cn/Periodical/bp201402001 [12] 林士炎, 李长洪, 乔兰, 等.爆破震动对高速路边坡影响的数值模拟[J].北京科技大学学报, 2003, 25(6):507-509. doi: 10.3321/j.issn:1001-053X.2003.06.005Lin Shiyan, Li Changhong, Qiao Lan, et al. Numerical simulation on the influence of blasting vibration on the freeway slope[J]. Journal of University of Science and Technology Beijing, 2003, 25(6):507-509. doi: 10.3321/j.issn:1001-053X.2003.06.005 [13] 李山有, 马强, 韦庆海.地震体波斜入射下的断层台阶地震反应分析[J].地震研究, 2005, 28(3):277-281. doi: 10.3969/j.issn.1000-0666.2005.03.015Li Shanyou, Ma Qiang, Wei Qinghai. Seismic response analysis of fault step subjected to obliquely incident body waves[J]. Journal of Seismological Research, 2005, 28(3):277-281. doi: 10.3969/j.issn.1000-0666.2005.03.015