平面S波在弹性介质与饱和冻土介质分界面上的能量传输特性

doi:10.13722/j.cnki.jrme.2022.0473

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摘要基于冻结饱和多孔介质与单相弹性介质中弹性波的传播理论，研究平面S波入射在弹性介质与饱和冻土介质分界面上的能量传输问题。根据分界面上的边界条件和利用Helmholtz矢量分解定理，推导获得透反射振幅比和能量率的解析表达式。通过数值分析研究S波入射在弹性介质与饱和冻土介质分界面上的能量率与入射角度、入射频率、胶结参数、孔隙率、饱和度以及接触参数的关系。研究结果表明：随入射角度的增加将引起透射P1，P2，P3，S1和S2波的能量率增大，当达到临界角时反射P波消失以及透射P1，S1波出现明显的脉冲。透射波间的能量相互作用率仅随饱和度的增加而减小，受其余参数的增加而增大。透射S1波的能量率占各透反射波能量率之和的90%以上，各类参数的增大均引起透射S1波能量率的增大。此外入射频率、胶结参数、孔隙率和接触参数的变化对能量比例系数均有显著影响。

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	蒋汇鹏1
	马强1
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	邵生俊2
	邵帅2

关键词 ：土力学, 饱和冻土, 波的传播, 透反射振幅比, 透反射能量率

Abstract：Based on the propagation theory of elastic waves in frozen saturated porous and single-phase elastic media，the energy transfer problem of plane-S-wave incidence at the interface between elastic and saturated frozen soil media is studied. According to the boundary conditions at the interface and using the Helmholtz vector decomposition，the theoretical expressions for the transmission and reflection amplitude ratio and energy rates are derived. The energy rate of S-wave incidence at the interface between elastic and saturated frozen soil media is investigated numerically in relation to the incident angle，incident frequency，cementation parameters，porosity，saturation and contact parameters. The results show that the energy rate of the transmitted P1，P2，P3，S1 and S2 waves increased with the incident angle increased，and the reflected P waves disappear and the transmitted P1 and S1 waves show a significant pulse under the critical angle. The energy interaction rate between transmitted waves only decreased with saturation increased and increases with the remaining parameters. The energy rate of the transmitted S1 wave accounts for more than 90% of the total energy rates of the transmitted and reflected waves，and the energy rate of transmitted S1 waves will be increased with the various parameters increased. In addition，the incident frequency，cementation parameters，porosity and contact parameters have a significant effect on the energy ratios coefficient.

引用本文:

蒋汇鹏1，马强1，2，邵生俊2，邵帅2. 平面S波在弹性介质与饱和冻土介质分界面上的能量传输特性[J]. 岩石力学与工程学报, 2023, 42(4): 976-992.
JIANG Huipeng1，MA Qiang1，2，SHAO Shengjun2，SHAO Shuai2. Characteristic of energy transmission of plane-S-wave at interface between elastic medium and saturated frozen soil medium. , 2023, 42(4): 976-992.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.0473 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I4/976

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