摘要
基于非饱和多孔介质的波动方程,考虑了土中水,气体与土骨架之间的粘性耦合作用,建立了弹性半空间上非饱和土层中Love波的弥散方程。首先分析了饱和度与频率对非饱和孔隙介质中剪切波速的影响。然后运用数值方法得到了不同饱和度下土层中多种Love模态波的弥散特性和位移分布情况,并用图表的形式给出。数值计算结果表明,上覆非饱和土层中Love波的传播速度和衰减系数不仅具有频散性,而且与土层的饱和度有关。在不同饱和度时的高模态(n≥2)的Love波的截止频率值不同。此外,讨论了饱和度对Love波水平位移幅值的影响。
Based on wave unsaturated soil layer overlying an equations of unsaturated porous media, the dispersion equation for Love waves in elastic half-space was derived considering viscous coupling among soil, water gas and the solid skeleton. The influences of saturation level and frequency on the wave velocity of shear waves in unsaturated porous media were analyzed firstly. Then, the dispersion curves and displacement distributions for various Love wave modes at different levels of saturation were obtained in graphic forms by use of a numerical method. The numerical results showed that the wave velocity and attenuation coefficient of Love waves in the upper unsaturated soil layer are not only frequency-dependent, but also related to the saturation level of the soil; the higher modes of Love waves (n ≥ 2 ) at different saturation conditions always have different cut-off frequencies. Also, the influence of saturation level on the amplitude of horizontal displacement of Love waves was discussed.
出处
《振动与冲击》
EI
CSCD
北大核心
2012年第17期22-25,32,共5页
Journal of Vibration and Shock
基金
浙江省重点科技创新团队支持计划资助(2009R50050)
关键词
非饱和土
LOVE波
弥散性
波衰减
unsaturated soil
Love waves
dispersion characteristics
wave attenuation