Scattering of SH waves induced by a symmetrical V-shaped canyon: a unified analytical solution
Scattering of SH waves induced by a symmetrical V-shaped canyon: a unified analytical solution
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对称V形峡谷引起的SH波散射：统一解析解
DOI：
10.1007/s11803-012-0135-z
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发表时间：
2012-12
影响因子：
2.8
通讯作者：
Zhang fei
中科院分区：
文献类型：
--
作者：
Gao Yufeng;Li Dayong;Wu Yongxin;Zhang fei
本文报道了不同形状比的对称v形峡谷引起的平面SH波二维散射和衍射波函数的一系列解。利用圆弧辅助边界将对称v形峡谷半空间划分为两个子区域。这两个子区域分别用全局和局部圆柱坐标系表示。在每个坐标系中，满足亥姆霍兹方程的波场用分离变量法表示，用未知复系数的贝塞尔函数和汉克尔函数的级数表示。然后，利用Graf加法定理在局域坐标系中描述这两个波场。最后，通过满足辅助边界的连续性条件，求出未知系数。为了考虑波散射的相位特性，假设入射信号为Ricker型，在时域内进行了参数化分析。地表和地下瞬态响应反映了波传播和散射的特征和机制。
This paper reports a series solution of wave functions for two-dimensional scattering and diffraction of plane SH waves induced by a symmetrical V-shaped canyon with different shape ratios. A half-space with a symmetrical V-shaped canyon is divided into two sub-regions by using a circular-arc auxiliary boundary. The two sub-regions are represented by global and local cylindrical coordinate systems, respectively. In each coordinate system, the wave field satisfying the Helmholtz equation is represented by the separation of variables method, in terms of the series of both Bessel functions and Hankel functions with unknown complex coefficients. Then, the two wave fields are described in the local coordinate system using the Graf addition theorem. Finally, the unknown coefficients are sought by satisfying the continuity conditions of the auxiliary boundary. To consider the phase characteristics of the wave scattering, a parametric analysis is carried out in the time domain by assuming an incident signal of the Ricker type. Surface and subsurface transient responses demonstrate the characteristics and mechanisms of wave propagating and scattering.
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影响因子：
2.8
作者：
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通讯作者：
Shuzhi Lin;Fa-qiang Qiu;Dian-kui Liu
影响因子：
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