黏弹性固体中地下爆炸辐射地震波能量的演化

卢强 丁洋 刘赟哲 唐仕英 郭志昀 王占江

卢强, 丁洋, 刘赟哲, 唐仕英, 郭志昀, 王占江. 黏弹性固体中地下爆炸辐射地震波能量的演化[J]. 爆炸与冲击, 2021, 41(9): 093201. doi: 10.11883/bzycj-2021-0058
引用本文: 卢强, 丁洋, 刘赟哲, 唐仕英, 郭志昀, 王占江. 黏弹性固体中地下爆炸辐射地震波能量的演化[J]. 爆炸与冲击, 2021, 41(9): 093201. doi: 10.11883/bzycj-2021-0058
LU Qiang, DING Yang, LIU Yunzhe, TANG Shiying, GUO Zhiyun, WANG Zhanjiang. Evolution of the radiated seismic wave energy of underground explosion in visco-elastic solids[J]. Explosion And Shock Waves, 2021, 41(9): 093201. doi: 10.11883/bzycj-2021-0058
Citation: LU Qiang, DING Yang, LIU Yunzhe, TANG Shiying, GUO Zhiyun, WANG Zhanjiang. Evolution of the radiated seismic wave energy of underground explosion in visco-elastic solids[J]. Explosion And Shock Waves, 2021, 41(9): 093201. doi: 10.11883/bzycj-2021-0058

黏弹性固体中地下爆炸辐射地震波能量的演化

doi: 10.11883/bzycj-2021-0058
基金项目: 国家自然科学基金(12072290)
详细信息
    作者简介:

    卢 强(1984- ),男,博士,副研究员,luqiang@nint.ac.cn

    通讯作者:

    王占江(1961- ),男,博士,研究员,wangzhanjiang@nint.ac.cn

  • 中图分类号: O382.2;O347.4

Evolution of the radiated seismic wave energy of underground explosion in visco-elastic solids

  • 摘要: 地下爆炸与介质的能量耦合和介质中的波传播机制是理解地下爆炸源物理的重要基础。为研究地下爆炸辐射地震波能量的传播衰减规律,分析了黏弹性介质中地下爆炸地震波能量的组成。基于无限介质中黏弹性球面波理论,给出了速度、位移、应力、应变等物理量Laplace域的理论解。利用Laplace数值逆求解方法,建立了黏弹性介质中地下爆炸辐射地震波场的计算方法。以干黄土作为典型黏弹性材料,计算给出了地震波能量的传播特征,分析了地下爆炸辐射能量的传播衰减规律。结果表明:(1)在黏弹性介质中,某球面处流入的能量随半径增加而逐渐降低。在理想弹性介质中,某球面处流入的能量在几倍弹性半径外即可稳定到某一定值;(2)在某一固定的有限观测区域内,当观测时间足够长时,势能和耗散能均趋于某一定值,辐射动能趋于零;(3)当有限的观测区域能容纳一个完整波长的地震波时,地震波辐射动能的稳态值随波传播距离的增大而减小,总体上可以用指数函数和幂函数进行分段拟合。
  • 图  1  黏弹性固体中爆炸地震波能量的组成

    Figure  1.  The composition of the energy of explosion seismic wave in visco-elastic solids

    图  2  广义Maxwell体模型

    Figure  2.  The generalized Maxwell element model

    图  3  黄土中地下爆炸辐射地震波能量随观测区域的变化

    Figure  3.  The variation of the energy of the radiated seismic wave from underground explosion in loess with the observation region

    图  4  黄土不同半径球面处最终流入能量$W(r,\infty )$的变化

    Figure  4.  The changes in the inflow energy $W(r,\infty )$ at different radii of the sphere in loess

    图  5  黄土中不同时刻粒子速度的空间分布

    Figure  5.  The spatial distribution of the particle velocity at different times in loess

    图  6  黄土中不同时刻辐射动能的空间分布

    Figure  6.  The spatial distribution of the radiated kinetic energy at different times in loess

    图  7  黄土中地震波辐射动能随波前位置的变化

    Figure  7.  The variation of the radiated kinetic energy of seismic wave with the position of wave front in loess

    表  1  黄土黏弹性参数[18]

    Table  1.   The visco-elastic parameters of loess[18]

    ρ/(kg·m−3E0/GPaθ0/µsE1/GPaθ1/µsµ
    1 8001.600.3321.00.25
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-02-07
  • 修回日期:  2021-04-21
  • 网络出版日期:  2021-08-24
  • 刊出日期:  2021-09-14

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