下穿隧道爆破荷载激励下边坡振动预测及能量分析

何理 钟东望 李鹏 宋琨 司剑峰

何理, 钟东望, 李鹏, 宋琨, 司剑峰. 下穿隧道爆破荷载激励下边坡振动预测及能量分析[J]. 爆炸与冲击, 2020, 40(7): 075201. doi: 10.11883/bzycj-2019-0255
引用本文: 何理, 钟东望, 李鹏, 宋琨, 司剑峰. 下穿隧道爆破荷载激励下边坡振动预测及能量分析[J]. 爆炸与冲击, 2020, 40(7): 075201. doi: 10.11883/bzycj-2019-0255
HE Li, ZHONG Dongwang, LI Peng, SONG Kun, SI Jianfeng. Vibration prediction and energy analysis of slope under blasting load in underpass tunnel[J]. Explosion And Shock Waves, 2020, 40(7): 075201. doi: 10.11883/bzycj-2019-0255
Citation: HE Li, ZHONG Dongwang, LI Peng, SONG Kun, SI Jianfeng. Vibration prediction and energy analysis of slope under blasting load in underpass tunnel[J]. Explosion And Shock Waves, 2020, 40(7): 075201. doi: 10.11883/bzycj-2019-0255

下穿隧道爆破荷载激励下边坡振动预测及能量分析

doi: 10.11883/bzycj-2019-0255
基金项目: 国家自然科学基金项目(51574184,51904210);湖北省教育厅科学技术研究项目(Q20181109);水利部岩土力学与工程重点实验室开放基金(CKWV2018473/KY);三峡库区地质灾害教育部重点实验室开放基金(2017KDZ02);冶金工业过程系统科学湖北省重点实验室开放基金(Y201717)
详细信息
    作者简介:

    何 理(1986- ),男,博士,副教授,emp-heli@hotmail.com

    通讯作者:

    钟东望(1963- ),男,教授,博士生导师,1057831589@qq.com

  • 中图分类号: O389; O383.2

Vibration prediction and energy analysis of slope under blasting load in underpass tunnel

  • 摘要: 为解决边坡与下穿近接隧道协同爆破施工安全难题,结合某石油储备基地扩建项目,运用量纲推导、现场实验与信号分析相结合的方法,构建考虑高程影响的振动峰值速度公式,研究隧道爆破振动能量沿坡面的衰减机制。结果显示,边坡同台阶边沿处质点振速峰值大于坡脚处,坡面局部存在振动速度高程放大效应;引入相对坡度H/D的爆破振动模型对坡面质点振速预测精度高,可反映边坡角对高程放大效应的影响;振动速度及能量沿坡面均呈现出近区衰减快、远区衰减慢的传播特性,同时隧道爆破振动能量集中分布在0~300 Hz范围的多个子振频带,且高频能量沿坡面衰减更快,能量卓越频带中值以指数形式衰减,能量最终向低频带集中。
  • 图  1  边坡与隧道的空间布局

    Figure  1.  Spatial Distribution of slope and tunnel

    图  2  隧道炮孔布置及爆破网路

    Figure  2.  Blasthole layout and blasting network of tunnel

    图  3  振动传感器安装基座

    Figure  3.  Mounting base of sensor

    图  4  坡面不同高程振动速度分布

    Figure  4.  Vibration velocity distribution at different elevations on slope

    图  5  归一化速度和能量随距离的变化关系

    Figure  5.  Relation of normalized velocity and energy with distance

    图  6  爆破振动信号各频带能量分布图

    Figure  6.  Energy distribution of blasting vibration signals in each frequency band

    图  7  卓越频带中值与传播距离的变化关系

    Figure  7.  The relation between mid-value of dominant frequency band and propagation distance

    表  1  坡面质点振动速度

    Table  1.   Particle vibration velocity on slope surface

    振动信号D/mH/mvmax/(cm·s−1)
    1-1 5.6 12.510.81
    1-2 2.6 9.78
    2-1 7.9 26.5 3.41
    2-2 10.9 2.02
    3-1 21.4 40.5 1.59
    3-2 24.4 0.96
    4-1 34.9 54.5 0.94
    4-2 37.9 0.79
    5-1 48.9 67.5 0.67
    5-2 51.9 0.64
    6-1 63.0 80.5 0.68
    6-2 66.0 0.63
    7-1 77.0 93.5 0.35
    7-2 80.0 0.28
    8-1 92.1105.5 0.20
    8-2 95.1 0.16
    9146.2117.5 0.07
     注:D为水平爆心距;H为垂直爆心距;vmax为质点振动速度峰值;信号编号m-nm表示台阶级数,m=1, 2, 3, …, 9;n=1表示台阶边沿处监测点,n=2表示内侧坡脚处监测点。
    下载: 导出CSV

    表  2  各变量量纲

    Table  2.   Dimension of variables

    量纲QDCpHEμρfV
    M10 00 10 1 0 0
    L01 11−10−3 0 1
    T00−10−20 0−1−1
     注:表2M为质量量纲,L为长度量纲,T为时间量纲。
    下载: 导出CSV

    表  3  振动速度预测模型及拟合系数

    Table  3.   Prediction model and correlation coefficient of vibration velocity

    公式形式振动速度预测模型相关系数
    $v = K{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^\alpha }$$v = 139.7{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^{1.62}}$0.939
    $v = K{\left( {\dfrac{{\sqrt[3]{Q}}}{D}} \right)^\alpha }{\left( {\dfrac{{\sqrt[3]{Q}}}{H}} \right)^\beta }$$v = 62.2{\left( {\dfrac{{\sqrt[3]{Q}}}{D}} \right)^{0.51}}{\left( {\dfrac{{\sqrt[3]{Q}}}{H}} \right)^{1.02}}$0.927
    $v = K{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^\alpha }{\left( {\dfrac{R}{D}} \right)^\beta }$$v = 208.5{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^{1.69}}{\left( {\dfrac{R}{D}} \right)^{ - 0.21}}$0.941
    $v = K{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^\alpha }{\left( {\dfrac{{\sqrt[3]{Q}}}{H}} \right)^\beta }$$v = 70.1{\left( {\dfrac{{\sqrt[3]{Q}}}{R}} \right)^{4.61}}{\left( {\dfrac{{\sqrt[3]{Q}}}{H}} \right)^{ - 3.49}}$0.954
    $v = K'{\left( {\dfrac{{\sqrt[3]{Q}}}{D}} \right)^\alpha }{\left( {\dfrac{R}{D}} \right)^\beta }{\left( {\dfrac{H}{D}} \right)^\gamma }$$v = 204.4{\left( {\dfrac{{\sqrt[3]{Q}}}{D}} \right)^{1.34}}{\left( {\dfrac{R}{D}} \right)^{ - 6.16}}{\left( {\dfrac{H}{D}} \right)^{4.17}}$0.958
    下载: 导出CSV

    表  4  各振动信号总能量

    Table  4.   Total energy of vibration signals

    信号编号1-11-22-12-23-13-24-14-25-15-26-16-27-17-28-18-29
    总能量/mJ1518.21770.9262.3122.933.315.811.27.65.03.83.84.92.81.81.51.20.2
    下载: 导出CSV

    表  5  信号能量集中频带的分布

    Table  5.   Energy distribution in energy concentrated bands

    信号能量集中频带1能量集中频带2能量集中频带3能量集中频带4卓越频带/Hz
    频率/Hz能量占比/%频率/Hz能量占比/%频率/Hz能量占比/%频率/Hz能量占比/%
    1-154.6~64.3517.1115.05~126.7524.6179.40~202.8020.7232.05~251.5517.4115.05~126.75
    1-239.00~62.4024.9118.95~126.7544.6187.20~196.9518.2118.95~126.75
    2-1107.25~126.7520.4187.20~202.8036.1243.75~251.5526.2187.20~202.80
    2-262.40~78.0011.1189.15~202.8021.9235.95~249.6018.7189.15~202.80
    3-131.20~48.7517.362.40~81.9022.993.60~105.309.1189.15~202.8010.862.40~81.90
    3-221.45~50.7021.462.40~81.9026.993.60~109.2028.793.60~109.20
    4-133.15~109.2081.7187.20~241.805.933.15~109.20
    4-217.55~46.8031.160.45~78.0011.395.55~111.1535.795.55~111.15
    5-129.25~64.3534.793.6~117.0042.4189.15~202.808.693.60~117.00
    5-229.25~54.6022.693.6~109.2043.4189.15~195.0010.493.60~109.20
    6-117.55~23.4014.333.15~64.3542.6101.40~109.2020.233.15~64.35
    6-217.55~23.4011.331.2~58.5072.393.60~101.405.231.20~58.50
    7-129.25~54.6071.993.6~105.309.429.25~54.60
    7-217.55~46.8069.895.55~101.411.417.55~46.80
    8-10~3.9013.719.50~50.7068.919.5~50.70
    8-20~3.9019.917.55~23.4022.929.25~35.1017.742.90~54.6021.717.55~23.40
    917.55~33.1562.148.75~62.4026.217.55~33.15
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-06-26
  • 修回日期:  2019-12-16
  • 网络出版日期:  2020-06-25
  • 刊出日期:  2020-07-01

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