| 积分方程法模拟三维体对面波的全散射 |
| |
| 引用本文： | 刘斌,鲁来玉. 积分方程法模拟三维体对面波的全散射[J]. 工程地球物理学报, 2009, 6(5): 535-540. DOI: 10.3969/j.issn.1672-7940.2009.05.002 |
| |
| 作者姓名： | 刘斌 鲁来玉 |
| |
| 作者单位： | 1. 湖南省招标有限责任公司,长沙,410003
2. 中国地震局地球物理研究所,北京,100081 |
| |
| 基金项目： | 国家自然科学基金课题 |
| |
| 摘 要： | 采用积分方程法模拟三维非均匀结构中面波的传播．首先将波场表示成Fredholm积分方程的形式，将观察点置于非均匀体内部，求得非均匀体内部的波场，然后根据积分方程，求得任意一点的散射场。通过背景介质中面波格林函数的适当表示，以及Hankel函数的附加定理，解析地给出了格林函数元素的体积分表达式，避免了Hankel函数的积分奇异问题。最后给出了三维非均匀体对点源激发的基阶瑞利波模式的散射实例。
|
| 关 键 词： | 面波 散射 积分方程 |
Full-Scattering of Surface Waves Modeled by Integral Equation Method |
| |
| Liu Bin,Lu Laiyu. Full-Scattering of Surface Waves Modeled by Integral Equation Method[J]. Chinese Journal of Engineering Geophysics, 2009, 6(5): 535-540. DOI: 10.3969/j.issn.1672-7940.2009.05.002 |
| |
| Authors: | Liu Bin Lu Laiyu |
| |
| Affiliation: | Liu Bin1,Lu Laiyu2(1.Hunan Provincial Tendering Limited Company,Changsha 410003,China,2.Institute of Geophysics,China Earthquake Administration,Beijing 100081,China) |
| |
| Abstract: | Integral equation method is used to model the propagation of the surface waves in three--dimensional structure. We first get the wave field inside the heterogeneity by putting the observed points in the heterogeneity, and then the wave field at the arbitrary point can be given by taking the heterogeneity as the secondary source. The volume integration of the Green＇s function elements is given analytically by treating the singularity of the Hankel function atR = 0 , based on the proper expression of the Green＇s element and the additional theorem of the Hankel function. We investigate the scattering of the fundamental surface mode, excited by a single force, propagated in the layered reference models imbedding beterogeneity with different velocity contrast. |
| |
| Keywords: | surface waves scattering integral equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
