An exact solution forSH-wave scattering by a radially multilayered inhomogeneous semicylindrical canyon
An exact solution forSH-wave scattering by a radially multilayered inhomogeneous semicylindrical canyon
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DOI：
10.1093/gji/ggz083
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发表时间：
2019-05
影响因子：
2.8
通讯作者：
Ning Zhang;Yu Zhang;Yufeng Gao;R. Pak;Yongxin Wu;Fei Zhang
中科院分区：
文献类型：
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作者：
Ning Zhang;Yu Zhang;Yufeng Gao;R. Pak;Yongxin Wu;Fei Zhang
本文给出了均匀半空间上有限深度内具有径向分段非均匀任意多层剖面的圆柱形峡谷在斜入射平面SH波作用下的地震反应的解析处理方法。根据径向波函数展开和传递矩阵方法，给出了弹性动力学平面问题通用计算的严格方法。在通过适当的深度方向离散化确认其准确性与过去的精确解的峡谷覆盖的一个单一的表层均匀和幂律模量变化，本文将所提出的解推广到峡谷被含有三个幂律层的离散非均匀地表带覆盖的情况，以及峡谷被含有三个幂律层的连续非均匀地表带覆盖的情况。参数指数剪切波速度模型作为一个广义类的smoothin situvariations。一套全面的数值例子来说明地面运动的灵敏度的峡谷的几何形状，顶部区域的不均匀性剖面，频率内容和地震波入射角。
An analytical treatment of the seismic response of a cylindrical canyon with a radially piecewise inhomogeneous arbitrary multilayered profile to a finite depth on a homogeneous half-space under obliquely incident planeSHwaves is presented. In terms of a radial wave function expansion and a transfer matrix approach, a rigorous approach is formulated for general computation for the elastodynamic plane problem. Upon confirmation of its accuracy with past exact solutions for a canyon covered by a single surficial layer with a homogeneous and a power-law modulus variation by suitable depth-wise discretization, the proposed solution is extended to the case of a canyon covered by a discretely inhomogeneous surficial zone containing three power-law layers as well as the case of a canyon covered by a continuously inhomogeneous surficial zone with a three-parameter exponential shear wave velocity model as a generalized class of smoothin situvariations. A comprehensive set of numerical examples are presented to illustrate the sensitivity of the ground motion to the canyon geometry, the inhomogeneity profile of the top zone, the frequency content and the angle of the seismic wave incidence.