饱和土沉积谷场地对平面Rayleigh波的散射
Scattering of plane Rayleigh waves in alluvial valleys with saturated soil deposits
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摘要: 把沉积谷软土场地用饱和多孔介质的Biot动力学理论模拟,周围的场地用单相介质弹性动力学理论模拟,利用波函数展开法,给出具有饱和土沉积层的沉积谷对Rayleigh波散射问题的解析解。通过数值计算,分析了入射波波长、沉积谷的高宽比、沉积层的软硬(利用波速描述其软硬)对地面运动的影响。Abstract: The scattering and diffraction of plane Rayleigh waves in circular alluvial valleys with soft soil deposits was studied with the deposits simulated by saturated porous medium of Biot dynamic theory,and the half space assumed to be elastic single-phase mediam.The expansion technique of Fourier-Bessel series was used to solve this problem.The results of amplitudes of surface displacement were presented,and the effects of frequency and the stiffness of the valley were discussed for soft and harden alluvial valleys.