SH1波在饱和冻土地基表面的反射特性

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (24) : 277-286.

论文

SH1波在饱和冻土地基表面的反射特性

石天宇1，马强1,2，李强3

作者信息 +

Reflection characteristics of SH1 wave on the surface of a saturated frozen soil foundation

SHI Tianyu1, MA Qiang1,2, LI Qiang3

Author information +

文章历史 +

摘要

基于饱和冻土介质波动理论，探讨了在饱和冻土地基自由表面上，传播速度较快的SH1的反射及能量传输问题。本文建立了饱和冻土的自由场地分析模型，通过Helmholtz矢量分解和边界条件，推导出两种反射SH波的振幅比及能量率的理论表达式。研究了入射频率、温度(含冰量)、孔隙率、胶结参数及接触参数对两种反射弹性波振幅和能量分配比的影响规律。研究结果表明：随着频率增加，反射S1波的振幅比和能量率逐渐减小，反射S2波增加。当入射角为90°时，仅有反射S1波存在。未冻土(T=0.1 ℃)时，反射S2波消失，S1波振幅比随温度的升高而增大，低温高含冰量时，反射S2波振幅比最高。此外，胶结参数、孔隙率和接触参数的变化会显著影响两种反射弹性波的振幅和能量分配比。

Abstract

Based on the wave theory of saturated frozen soil medium, the reflection and energy transfer of SH1 with fast propagation speed on the free surface of saturated frozen soil foundation are discussed. In this paper, the free field analysis model of saturated frozen soil is established. Through the Helmholtz vector decomposition theorem and boundary conditions, the theoretical expressions of the amplitude ratio and energy rate of two reflected SH waves are derived. The effects of incident frequency, temperature (ice content), porosity, cementation parameters and contact parameters on the amplitude and energy distribution ratio of the two reflected elastic waves were studied. The results show that as the frequency increases, the amplitude ratio and energy rate of the reflected S1 wave gradually decrease, and the reflected S2 wave increases. When the incident angle is 90°, only the reflected S1 wave exists. When there is no frozen soil (T=0.1 °C), the reflected S2 wave disappears, and the amplitude ratio of S1 wave increases with the increase of temperature. When the temperature is low and the ice content is high, the amplitude ratio of reflected S2 wave is the highest. In addition, the variation of cementation parameters, porosity and contact parameters will significantly affect the amplitude and energy distribution ratio of the two reflected elastic waves.

导出引用

石天宇1, 马强1, 2, 李强3. SH1波在饱和冻土地基表面的反射特性[J]. 振动与冲击, 2024, 43(24): 277-286

SHI Tianyu1, MA Qiang1, 2, LI Qiang3. Reflection characteristics of SH1 wave on the surface of a saturated frozen soil foundation[J]. Journal of Vibration and Shock, 2024, 43(24): 277-286

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