巴振宁, 梁建文, 梅雄一. 层状饱和半空间中沉积谷地对斜入射平面P1波的三维散射[J]. 工程力学, 2013, 30(9): 47-55,62. DOI: 10.6052/j.issn.1000-4750.2012.04.0265
引用本文: 巴振宁, 梁建文, 梅雄一. 层状饱和半空间中沉积谷地对斜入射平面P1波的三维散射[J]. 工程力学, 2013, 30(9): 47-55,62. DOI: 10.6052/j.issn.1000-4750.2012.04.0265
BA Zhen-ning, LIANG Jian-wen, MEI Xiong-yi. 3D Scattering by an alluvial valley embedded in a fluid-saturated, layered half-space for obliquely incident plane P1 waves[J]. Engineering Mechanics, 2013, 30(9): 47-55,62. DOI: 10.6052/j.issn.1000-4750.2012.04.0265
Citation: BA Zhen-ning, LIANG Jian-wen, MEI Xiong-yi. 3D Scattering by an alluvial valley embedded in a fluid-saturated, layered half-space for obliquely incident plane P1 waves[J]. Engineering Mechanics, 2013, 30(9): 47-55,62. DOI: 10.6052/j.issn.1000-4750.2012.04.0265

层状饱和半空间中沉积谷地对斜入射平面P1波的三维散射

3D Scattering by an alluvial valley embedded in a fluid-saturated, layered half-space for obliquely incident plane P1 waves

  • 摘要: 在作者给出层状饱和场地三维精确动力刚度矩阵和层状饱和半空间中移动荷载动力格林函数基础上,采用间接边界元方法在频域内求解了层状流体饱和场地中沉积谷地对斜入射平面P1波的三维散射问题。该方法的特点在于虚拟移动均布荷载和斜线孔隙水压可以直接施加在沉积与层状饱和半空间交界面而不存在奇异性。该文通过与已有结果的比较验证了方法的正确性,并以均匀饱和半空间和弹性基岩上单一饱和土层中沉积谷地为例进行了数值计算分析。研究表明,沉积谷地对平面P1波的三维散射与二维散射之间存在本质差别,入射角度、孔隙率、饱和土层刚度和饱和土层厚度等参数对沉积谷地附近动力响应有着显著影响。

     

    Abstract: The indirect boundary element method is used to study the 3D wave scattering problem of obliquely incident plane P1 waves by an alluvial valley embedded in a fluid-saturated,layered half-space in frequency domain,based on the given 3D exact dynamic stiffness matrix and Green’s functions of moving distributed loads in a fluid-saturated,layered half-space. The method has the advantage that fictitious moving distributed loads and pore pressure can be acted directly on the interface of the valley and the layered half space without singularity. The rationality of the method is validated by comparing with known results,and the numerical analyses are performed by examples of a valley embedded in a fluid-saturated half space and in a single fluid saturated soil layer over elastic bedrock. It is shown that the 3D scattering is essentially different from the 2D case and the parameters such as incident angle,porosity,layer stiffness and layer thickness,etc. have significant effect on the dynamic responses near the valley.

     

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