边坡抛掷爆破峰值质点振动速度的无量纲分析

周文海 梁瑞 余建平 杜超飞 王敦繁 楼晓明

周文海, 梁瑞, 余建平, 杜超飞, 王敦繁, 楼晓明. 边坡抛掷爆破峰值质点振动速度的无量纲分析[J]. 爆炸与冲击, 2019, 39(5): 054201. doi: 10.11883/bzycj-2017-0373
引用本文: 周文海, 梁瑞, 余建平, 杜超飞, 王敦繁, 楼晓明. 边坡抛掷爆破峰值质点振动速度的无量纲分析[J]. 爆炸与冲击, 2019, 39(5): 054201. doi: 10.11883/bzycj-2017-0373
ZHOU Wenhai, LIANG Rui, YU Jianping, DU Chaofei, WANG Dunfan, LOU Xiaoming. Dimensionless analysis on peak particle vibration velocity induced by slope casting blast[J]. Explosion And Shock Waves, 2019, 39(5): 054201. doi: 10.11883/bzycj-2017-0373
Citation: ZHOU Wenhai, LIANG Rui, YU Jianping, DU Chaofei, WANG Dunfan, LOU Xiaoming. Dimensionless analysis on peak particle vibration velocity induced by slope casting blast[J]. Explosion And Shock Waves, 2019, 39(5): 054201. doi: 10.11883/bzycj-2017-0373

边坡抛掷爆破峰值质点振动速度的无量纲分析

doi: 10.11883/bzycj-2017-0373
基金项目: 国家自然科学基金(51566010,51076061);甘肃省自然科学基金(B061709)
详细信息
    作者简介:

    周文海(1989- ),男,硕士,讲师,hai2yin@163.com

    通讯作者:

    梁 瑞(1968- ),男,博士,教授,liangr@lut.cn

  • 中图分类号: O389; TU45

Dimensionless analysis on peak particle vibration velocity induced by slope casting blast

  • 摘要: 为研究边坡抛掷爆破振动波传播过程所诱发的地表质点振动情况,运用量纲分析理论构建考虑高程影响的振动峰值速度公式,在此基础上依据边坡抛掷爆破模型将炮孔药包划分为无数微元体进行积分运算,最终得到边坡抛掷爆破振动峰值速度公式。结果显示,同一地理环境和爆破工艺条件下,峰值速度主要由炸药性能、装药深度、测点与爆源间距以及爆破作用指数所决定。同时对某边坡爆破现场进行试验测振,将实测峰值速度数据分别代入萨氏公式、3个常用萨氏修正公式以及通过无量纲理论推导出的速度公式进行非线性回归运算,得到坡表面实测值与各峰值速度公式预测值之间平均误差分别为32%、34.25%、29.58%、39%和7%,坡体内实测值与各峰值速度公式预测值之间平均误差分别为27.63%、23.5%、16.88%、33.889%和13.25%。
  • 图  1  装药结构平面图

    Figure  1.  Plane diagram of loaded constitution

    图  2  监测点布置平面图

    Figure  2.  The plane drawing of monitoring points layout

    图  3  监测点C4水平方向地表振动速度

    Figure  3.  Surface vibration velocity in horizontal direction at the measured point C4

    图  4  监测点C4垂直方向地表振动速度

    Figure  4.  Surface vibration velocity in vertical direction at the measured point C4

    图  5  监测点C4 z轴方向地表振动速度

    Figure  5.  Surface vibration velocity in z direction at the measured point C4

    图  6  地表xy向峰值振速随测点距炮孔水平距离的变化

    Figure  6.  Peak vibration velocities in x and y directions of the surface varying with horizontal distances of measuring points away from blasting holes

    图  7  地表zy向峰值振速随测点距炮孔水平距离的变化

    Figure  7.  Peak vibration velocities in z and y directions of the surface varying with horizontal distances of measuring points away from blasting holes

    图  8  地表xy方向峰值振速随测点高程差的变化

    Figure  8.  Peak vibration velocities in x and y directions of the surface varying with elevation differences of measuring points

    图  9  地表zy方向峰值振速随测点高程差的变化

    Figure  9.  Peak vibration velocities in z and y directions of the surface varying with elevation differences of measuring points

    表  1  试验参数

    Table  1.   Test parameters

    测点编号 Q/kg L/m H/m vx, max/(cm·s−1) vy, max/(cm·s−1) vz, max/(cm·s−1) H2/m H1/m
    A1 575 291.8 71 0.179 2 0.233 4 0.153 6 5 2
    A2 575 301.4 88 0.158 0 0.201 2 0.147 4 5 2
    A3 575 311.2 105 0.136 7 0.177 1 0.135 1 5 2
    A4 575 320.9 122 0.110 3 0.152 4 0.128 7 5 2
    B1 575 279.4 71 1.973 6 2.177 6 1.740 2 5 2
    B2 575 288.6 88 1.692 2 1.746 2 1.583 7 5 2
    B3 575 298.1 105 1.313 5 1.452 1 1.395 2 5 2
    B4 575 307.7 122 1.009 7 1.282 2 1.316 7 5 2
    C1 975 176.19 22 2.583 8 2.207 7 1.913 2 9 4
    C2 975 178.28 37 2.671 5 2.508 3 2.084 6 9 4
    C3 975 176.26 52 2.781 4 2.835 1 2.194 6 9 4
    C4 975 177.42 67 2.943 3 3.221 7 2.284 6 9 4
    下载: 导出CSV

    表  2  实测与预测峰值速度对比表

    Table  2.   The peak velocity contrast table of measured values and predictive values

    测点编号 vy, max/
    (cm·s−1)
    公式(1) 公式(2) 公式(3) 公式(4) 公式(13)
    $ v_{{y},\max }^{(1)}/$
    (cm·s−1)
    $ {\varepsilon ^{(1)}}/ $
    %
    $ v_{{{y}},\max }^{(2)}/ $
    (cm·s−1)
    $ {\varepsilon ^{(2)}}/ $
    %
    $v_{{{y}},\max }^{(3)}/ $
    (cm·s−1)
    $ {\varepsilon ^{(3)}}/ $
    %
    $ v_{{{y}},\max }^{(4)}/$
    (cm·s−1)
    $ {\varepsilon ^{(4)}}/ $
    %
    $ v_{{{y}},\max }^{(13)}/$
    (cm·s−1)
    $ {\varepsilon ^{(13)}}/ $
    %
    A1 0.233 4 0.299 1 28 0.259 9 10 0.322 1 11 0.292 7 46 0.255 2 10
    A2 0.191 2 0.248 7 30 0.237 8 24 0.229 2 20 0.240 0 26 0.175 6 8
    A3 0.157 1 0.214 1 36 0.221 5 41 0.173 4 15 0.208 9 33 0.129 5 18
    A4 0.132 4 0.172 8 31 0.291 5 49 0.130 1 2 0.190 7 44 0.092 2 30
    B1 2.177 6 1.458 9 33 1.418 5 35 2.655 9 22 1.546 1 29 1.869 8 14
    B2 1.846 2 1.253 4 32 1.229 9 33 1.510 5 40 0.992 6 46 1.769 4 4
    B3 1.552 1 1.077 9 31 2.216 4 37 1.184 1 24 1.034 9 32 1.470 3 5
    B4 1.382 2 0.944 5 32 0.943 1 32 0.946 8 32 0.706 3 49 1.451 3 5
    C1 2.207 7 3.047 3 62 2.896 0 31 2.902 4 31 3.404 8 54 2.633 6 2
    C2 2.508 3 2.958 7 18 3.013 9 20 2.672 9 21 3.366 7 34 2.574 7 3
    C3 2.835 1 2.924 6 3 3.129 3 10 2.571 3 9 3.383 2 19 2.516 1 11
    C4 3.221 7 2.811 2 13 3.315 9 3 2.374 5 26 3.269 1 15 2.438 6 24
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-10-17
  • 修回日期:  2017-12-17
  • 刊出日期:  2019-05-01

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