摘要
采用波函数展开法及边界离散的方法给出了任意断面形状的地下夹塞对平面SH波散射的半解析解;利用蒙特卡罗方法随机模拟产生了30组夹塞断面样本,通过对该样本在平面SH波入射下地表位移幅值的统计分析,研究了夹塞断面形状随机性对平面SH波散射的影响.结果表明,夹塞断面形状随机性对平面SH波的散射具有重要影响.以圆形夹塞为例,当断面半径的变异系数为0.1时,地表位移响应幅值变异系数可达0.71.随着入射频率的升高,变异系数逐渐增大;随着夹塞刚度的降低,变异系数逐渐增大;随着夹塞埋深的增加,变异系数逐渐减小.
The semi-analytical solution of scattering of plane SH waves by un-derground inclusion with arbitrary cross-section in half-space is presented using wave functions expansion method combined with boundary discrete method. Monte Carlo method is used to randomly generate 30 samples for cross-section shape of the inclusion,and the effect of cross-section-shape randomness on scat-tering of plane SH waves are studied by statistical analysis of the surface dis-placement amplitudes.It is shown that,cross-section-shape randomness has significant effect on the scattering of SH waves around an inclusion in half-space.When the variation coefficient of inclusion radius is equal to 0.1,for an inclusion of circular shape,the variation coefficient of surface displacement am-plitude may be up to 0.71.The variation coefficient increases as the incident frequency increases.The variation coefficient increases as the inclusion rigidity decreases.The variation coefficient decreases as the inclusion depth increases.
出处
《地震学报》
CSCD
北大核心
2014年第4期584-594,1,共11页
Acta Seismologica Sinica
基金
国家自然科学基金(51378348)
天津市应用基础研究重点项目(12JCZDJC29000)共同资助
关键词
地下夹塞
断面形状
平面SH波
散射
波函数展开法
半解析解
蒙特卡罗方法
underground inclusion
cross-section shape
plane SH waves
scat-tering
wave function expansion method
semi-analytical solution
Monte Carlo method
