| 半球形凹陷饱和土半空间对入射平面SV波三维散射问题的解析解 |
| |
| 引用本文： | 董俊,赵成刚.半球形凹陷饱和土半空间对入射平面SV波三维散射问题的解析解[J].地球物理学报,2005,48(6):1412-1421. |
| |
| 作者姓名： | 董俊 赵成刚 |
| |
| 作者单位： | 北京交通大学土建学院,北京,100044;铁道第四勘测设计院,武汉,430063;北京交通大学土建学院,北京,100044 |
| |
| 基金项目： | 国家自然科学基金项目(50478062)，北京市自然科学基金项目(8052015)资助 |
| |
| 摘 要： | 以Biot饱和多孔介质动力学理论为基础，利用Fourier Bessel级展开法，给出了饱和多孔介质半空间中半球形凹陷地形对入射平面SV波散射问题的解析解.利用这一解析解数值计算地表位移幅值，分析入射角、入射波频率对地表位移幅值的影响，并与现存的单相介质情况下三维半球形凹陷问题解析解进行对比得出如下结论：(1)本文两相介质模型与单相介质模型有很大区别；(2)入射角、入射频率对场地表面位移分量有重要影响；(3)随着入射角、入射频率的增大，地表位移分布变得更复杂，且放大效应比单相介质模拟结果更加显著.
|
| 关 键 词： | 饱和多孔介质 半球形凹陷地形 解析解 |
| 文章编号： | 0001-5733（2005）06-1412-10 |
| 收稿时间： | 2004-09-14 |
| 修稿时间： | 2004-09-142005-03-09 |
An analytic solution for the three-dimensional diffraction of plane SV-waves by hemispherical canyons in a fluid-saturated porous medium half space |
| |
| DONG Jun,ZHAO Cheng-Gang.An analytic solution for the three-dimensional diffraction of plane SV-waves by hemispherical canyons in a fluid-saturated porous medium half space[J].Chinese Journal of Geophysics,2005,48(6):1412-1421. |
| |
| Authors: | DONG Jun ZHAO Cheng-Gang |
| |
| Institution: | 1.School of Civil Engineering and Architecture,Beijing Jiaotong University,Beijing 100044，China 2 The fourth Survey and Design Institute, Wuhan 430063, China |
| |
| Abstract: | In this paper,an analytic solution for the three-dimensional scattering and diffraction of plane SV-waves by a hemispherical canyon in fluid saturated porous media half space is derived by using the Biot dynamic theory.The Fourier-Bessel series expansion technique is used to get the analytic solution for the first time.The results of surface displacement amplitudes are presented,the effects of frequency and angles of incident waves on the surface displacement amplitudes are discussed.These results are compared with those from the same situation but with an elastic one-phase medium.Based on numerical results,we conclude:(1)there is a significant difference between the previous single-phase model and the present two-phase model;(2)the normalized displacements on the free surface of alluvial valley are mainly dependent on the incident wave angles,the dimensionless frequency of the incident SV-waves;(3)with the increases of the incident angle,frequency,the displacements become more complicated;and the amplification of the displacement on the free surface of alluvial valley is more prominent than that modeled by single-phase. |
| |
| Keywords: | Fluid-saturated porous media Hemispherical canyon Analytic solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《地球物理学报》浏览原始摘要信息 |
| 点击此处可从《地球物理学报》下载免费的PDF全文 |
