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赵成刚 王磊 高福平. 圆弧形沉积场地对平面瑞利波散射的解析分析[J]. 力学学报, 2007, 23(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145
引用本文: 赵成刚 王磊 高福平. 圆弧形沉积场地对平面瑞利波散射的解析分析[J]. 力学学报, 2007, 23(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145
Chenggang Zhao, Lei Wang, Fuping Gao. Scattering of plane rayleigh waves by a circular-arc alluvial valley: an analytical solution[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145
Citation: Chenggang Zhao, Lei Wang, Fuping Gao. Scattering of plane rayleigh waves by a circular-arc alluvial valley: an analytical solution[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(3): 365-373. DOI: 10.6052/0459-1879-2007-3-2006-145

圆弧形沉积场地对平面瑞利波散射的解析分析

Scattering of plane rayleigh waves by a circular-arc alluvial valley: an analytical solution

  • 摘要: 分别采用Biot饱和多孔介质动力学理论和单相介质弹性动力学理论模拟层状沉积谷场地和周围场地,利用波函数展开法,得出了层状饱和沉积场地对Rayleigh波散射的解析解.进行参量分析,研究了无量纲入射波频率、层状沉积层排列顺序及相对刚度和厚度等因素对Rayleigh波散射效应的影响.

     

    Abstract: The scattering and diffraction of plane Rayleigh waves in acircular-arc layered alluvial valley with soft-soil deposits is studiedanalytically in this paper. The soft sediments in the circular-arc valleyare simulated by applying Biot's dynamic theory to a saturated porous medium, andthe half-space is assumed as an elastic single-phase medium. In this analysis,Fourier-Bessel series expansion technique is employed to obtain theanalytical solutions. Based on the analytical solutions, the effects ofdimensionless frequency, the layered sediments sequence and the relativerigidity and thickness on the scattering and diffraction are investigated.

     

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