非饱和地基中Love波的传播特性

陈炜昀;夏唐代;王志凯;孙苗苗

振动与冲击 ›› 2012, Vol. 31 ›› Issue (17) : 22-25.

PDF(1488 KB)
PDF(1488 KB)
振动与冲击 ›› 2012, Vol. 31 ›› Issue (17) : 22-25.
论文

非饱和地基中Love波的传播特性

  • 陈炜昀, 夏唐代, 王志凯, 孙苗苗
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Propagation characteristics of Love waves in unsaturated soil

  • CHEN Wei-yun, XIA Tang-dai, WANG Zhi-kai, SUN Miao-miao
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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,本文讨论了饱和度对Love波水平位移幅值的影响。

Abstract

Based on the wave equations of unsaturated porous medium, the dispersion equation for the Love waves in the unsaturated soil layer overlying an elastic half-space is derived with the viscous coupling between the water (gas) and the solid skeleton considered. The influence of saturation degree and frequency on the wave velocity of shear waves in unsaturated porous media is analyzed firstly. Then, the dispersion curves and displacement distributions for the various Love wave modes at different degrees of saturation are obtained and given in graphic form by use of numerical method. The numerical results show that the wave velocity and attention coefficient of the Love waves in the upper unsaturated soil layer are not only frequency-dependent, but also related to the saturation degree of the soil. The high modes Love waves (n≥2) at different saturation conditions always have different cut-off frequencies. Also, this paper discusses the influence of the saturation on the amplitude of horizontal displacement of the Love waves.

关键词

非饱和土 / Love波 / 弥散性 / 波衰减

Key words

unsaturated soil / Love waves / Dispersion characteristics / wave attenuation

引用本文

导出引用
陈炜昀;夏唐代;王志凯;孙苗苗. 非饱和地基中Love波的传播特性[J]. 振动与冲击, 2012, 31(17): 22-25
CHEN Wei-yun;XIA Tang-dai;WANG Zhi-kai;SUN Miao-miao. Propagation characteristics of Love waves in unsaturated soil[J]. Journal of Vibration and Shock, 2012, 31(17): 22-25

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