| 圆弧形凹陷饱和土场地对平面P波散射问题的解析解 |
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| 引用本文： | 李伟华,赵成刚.圆弧形凹陷饱和土场地对平面P波散射问题的解析解[J].地球物理学报,2003,46(4):539-546. |
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| 作者姓名： | 李伟华 赵成刚 |
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| 作者单位： | 北方交通大学土建学院，北京 100044 |
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| 基金项目： | 国家自然科学基金项目 ( 5 0 1780 0 5 ) . |
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| 摘 要： | 以Biot 饱和多孔介质动力学理论为基础，利用Fourier Bessel级数展开法, 得到饱和多孔介质半空间中圆弧形凹陷地形对平面P波的散射问题的解析解. 数值计算给出地表位移幅值，分析了入射波波长、入射角、圆弧高宽比对地表位移幅值的影响，并与现存的在单相介质情况下得到的结论进行对比.
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| 关 键 词： | 饱和多孔介质 平面P波 圆弧形凹陷地形 |
| 文章编号： | 0001-5733(2003)04-0539-08 |
| 收稿时间： | 2002-6-3 |
| 修稿时间： | 2003-3-24 |
AN ANALYTICAL SOLUTION FOR THE DIFFRACTION OF PLANE P-WAVES BY CIRCULAR CYLINDRICAL CANYONS IN A FLUID-SATURATED POROUS MEDIA HALF SPACE |
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| LI WEIHUA.AN ANALYTICAL SOLUTION FOR THE DIFFRACTION OF PLANE P-WAVES BY CIRCULAR CYLINDRICAL CANYONS IN A FLUID-SATURATED POROUS MEDIA HALF SPACE[J].Chinese Journal of Geophysics,2003,46(4):539-546. |
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| Authors: | LI WEIHUA |
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| Institution: | School of Civil Engineering and Architecture, Northern Jiao tong University, Beijing 100044, China |
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| Abstract: | On the basis of the Biot dynamic theory, an analytic solution of two-dimensional scattering and diffraction of plane P waves by circular cylindrical canyons in a fluid-saturated porous media half space is presented by the Fourier-Bessel series expansion technique for the first time. The surface displacement amplitudes are presented, and the effects of frequency and angle of incident waves, and the ratio of canyon depth to its width on the surface displacement amplitudes are discussed. These results are compared with those from the half space regarded as ordinary elastic one-phase solid. |
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| Keywords: | Fluid-saturated porous media Plane P waves Circular cylindrical canyons |
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