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尤红兵, 梁建文, 赵凤新. 饱和层状场地中任意凹陷地形对入射P波的散射[J]. 岩土工程学报, 2008, 30(6): 840-849.
引用本文: 尤红兵, 梁建文, 赵凤新. 饱和层状场地中任意凹陷地形对入射P波的散射[J]. 岩土工程学报, 2008, 30(6): 840-849.
YOU Hongbing, LIANG Jianwen, ZHAO Fengxin. Scattering of P waves by canyons of arbitrary shape in fluid-saturated poroelastic layered half-space[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(6): 840-849.
Citation: YOU Hongbing, LIANG Jianwen, ZHAO Fengxin. Scattering of P waves by canyons of arbitrary shape in fluid-saturated poroelastic layered half-space[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(6): 840-849.

饱和层状场地中任意凹陷地形对入射P波的散射

Scattering of P waves by canyons of arbitrary shape in fluid-saturated poroelastic layered half-space

  • 摘要: 采用Biot理论的基本模型,利用间接边界元方法在频域内求解了层状饱和场地中任意凹陷地形对入射P波的散射。利用精确的土层动力刚度矩阵进行自由场反应分析,求得假想边界上各点的位移和各单元的应力响应;同样计算虚拟分布荷载的格林影响函数,求得位移和应力响应;根据边界条件确定虚拟分布荷载,最终得到问题的解答。结果可退化为干土结果并进行了对比。通过算例,研究了饱和层状场地中凹陷地形入射P波的散射,并与相应干土结果进行了对比。研究表明:入射角度、入射频率和参数b对层状饱和场地的地表位移均有重要影响,与相应干土场地结果差别显著。说明了层状模型的合理性,以及利用层状模型分析的必要性。

     

    Abstract: The scattering of P waves by a canyon of arbitrary shape in a fluid-saturated,poroelastic layered half-space was modeled using the indirect boundary element method in the frequency domain.The free-field responses were calculated to determine the displacements and stresses at the surface of the canyon,and fictitious distributed loads were then applied at the surface of the canyon in the free field to calculate the Green’s functions for displacements and stresses.The amplitudes of the fictitious distributed loads were determined from the boundary conditions,and the displacements arising from the waves in the free field and from the fictitious distributed loads were summed to obtain the solution.Numerical results for displacements of saturated layered systems were presented.The results were compared with those of the dry layered site.It was shown that the incident angle,the incident frequency and the parameters of b had great influence on displacements of saturated layered systems.The results of saturated sites were quite different from those of the dry layered site.The rationality and necessity of using the layered model were discussed.

     

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