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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >Scattering of elastic waves by a general anisotropic basin. Part 2: a 3D model
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Scattering of elastic waves by a general anisotropic basin. Part 2: a 3D model

机译：普通各向异性盆地对弹性波的散射。第2部分：3D模型

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摘要

Scattering of plane harmonic waves by a three-dimensional basin of arbitrary shape embedded within elastic half-space is investigated by using an indirect boundary integral equation approach. The materials of the basin and the half-space are assumed to be the most general anisotropic, homogeneous, linearly elastic solids without any material symmetry (i.e. triclinic). The unknown scattered waves are expressed in terms of three-dimensional triclinic time harmonic full-space Green's functions. The results have been tested by comparing the surface response of semi spherical isotropic and transversely isotropic basins for which the numerical solutions are available. Surface displacements are presented for a semicircular basin subjected to a vertical incident plane harmonic pseudo-P-, SV-, or SH-wave. These results are compared with the motion obtained for the corresponding equivalent isotropic models. The results show that presence of the basin may cause significant amplification of ground motion when compared to the free-field displacements. The peak amplitude of the predominant component of surface motion is smaller for the anisotropic basin than for the corresponding isotropic one. Anisotropic response may be asymmetric even for symmetric geometry and incidence. Anisotropic surface displacement generally includes all three components of motion which may not be the case for the isotropic results. Furthermore, anisotropic response strongly depends upon the nature of the incident wave, degree of material anisotropy and the azimuthal orientation of the observation station. These results clearly demonstrate the importance of anisotropy in amplification of surface ground motion.
机译：通过使用间接边界积分方程方法，研究了嵌入弹性半空间中的任意形状的三维盆地对平面谐波的散射。假定盆地和半空间的材料是最一般的各向异性，均质，线性弹性固体，没有任何材料对称性（即三斜晶系）。未知的散射波用三维三阶时间谐波全空间格林函数表示。通过比较可获得数值解的半球形各向同性和横向各向同性盆地的表面响应，对结果进行了测试。给出了一个半圆形盆地的表面位移，该半圆形盆地受到垂直入射平面谐波伪P波，SV波或SH波的影响。将这些结果与从相应的等效各向同性模型获得的运动进行比较。结果表明，与自由场位移相比，盆地的存在可能会引起地震动的显着放大。各向异性盆地的表面运动主要成分的峰值幅度小于相应的各向同性盆地。即使对于对称的几何形状和入射角，各向异性响应也可能是不对称的。各向异性表面位移通常包括运动的所有三个分量，而各向同性结果可能并非如此。此外，各向异性响应在很大程度上取决于入射波的性质，材料各向异性的程度以及观测站的方位取向。这些结果清楚地表明了各向异性在放大地面运动中的重要性。

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