带有覆盖层的半空间内SH波对浅埋圆孔和夹杂的散射与地震动

齐辉;陈冬妮;蔡立明

振动与冲击 ›› 2014, Vol. 33 ›› Issue (22) : 152-156.

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PDF(1437 KB)
振动与冲击 ›› 2014, Vol. 33 ›› Issue (22) : 152-156.
论文

带有覆盖层的半空间内SH波对浅埋圆孔和夹杂的散射与地震动

  • 齐辉,陈冬妮,蔡立明
作者信息 +

Scattering of Subsurface Circular Cavity and Inclusion under a Layered Half-space and Ground Motion

  • QI Hui,CHEN Dong-ni, CAI Li-ming
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文章历史 +

摘要

采用大圆弧假定法将具有地表覆盖层的半空间直边界问题转化为曲面边界问题。借助Helmholtz定理预先写出问题波函数的一般形式解,再利用复变函数法和边界条件把问题化为求解波函数中未知系数的无穷线性代数方程组,截断该方程组即可求解带有地表覆盖层的半空间内浅埋圆孔和夹杂对SH波的散射问题并给出了地面运动的数值结果。定性分析了入射波数、入射角度、埋深、夹杂刚度及覆盖层刚度等因素对地面运动的影响。研究表明,浅埋圆孔及夹杂与地表覆盖层之间存在强烈的相互作用,因而地震动将受到很大影响。

Abstract

The solution of scattering of SH-wave was given by the method which to use an circular boundary of large radius to approximate the straight boundary of surface layer. With the theory of Helmholtz, the general solution of the Biot’s wave function was achieved. Utilizing the complex function method and the boundary conditions, we could transform the present problem into the problem in which we needed to solve the infinite linear algebraic equations with unknown coefficients. Numerical results of the ground motion were provided. The effects of incident wave number, incident angle, buried depth, stiffness of inclusion and layer on ground motion were analyzed qualitatively. The results in numerical examples show that greatly impact on ground motion can occur due to strong interaction between the surface layer, circular cavity and inclusion.

关键词

地表覆盖层 / 圆孔 / 夹杂 / SH波散射 / 大圆弧假定法 / 地震动

Key words

surface layer / circular cavity / inclusion / scattering of SH-wave / large arc assumed method / ground motion

引用本文

导出引用
齐辉;陈冬妮;蔡立明. 带有覆盖层的半空间内SH波对浅埋圆孔和夹杂的散射与地震动[J]. 振动与冲击, 2014, 33(22): 152-156
QI Hui;CHEN Dong-ni;CAI Li-ming. Scattering of Subsurface Circular Cavity and Inclusion under a Layered Half-space and Ground Motion[J]. Journal of Vibration and Shock, 2014, 33(22): 152-156

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