P_(1)波在饱和土和饱和冻土介质分界面上的透反射问题研究  

Transmission and reflection of P_(1) wave at interface between saturated soil and saturated frozen soil

作　　者：张嘉伦 马强 蒋汇鹏 ZHANG Jia-un;MA Qiang;JIANG Hui-peng(School of Civil Engineering and Water Resources,Qinghai University,Xining,Qinghai 810016,China;Qinghai Provincial Key Laboratory of Energy-saving Building Materials and Engineering Safety,Qinghai University,Xining,Qinghai 810016,China)

机构地区：[1]青海大学土木水利学院,青海西宁810016 [2]青海大学青海省建筑节能材料与工程安全重点实验室,青海西宁810016

出　　处：《岩土力学》2024年第10期3139-3152,共14页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.52168053);中国博士后科学基金(No.2022MD723837)。

摘　　要：基于饱和多孔介质和冻结饱和多孔介质中波的传播理论,研究了P_(1)波在饱和土介质与饱和冻土介质分界面上的透反射问题。采用Helmholtz矢量分解原理,结合饱和土与饱和冻土交界面的边界条件,获得P_(1)波从饱和土层入射至饱和冻土层分界面处的透反射振幅比的解析解。通过数值计算,分析了入射频率、入射角度、饱和土介质中的渗透率以及饱和冻土介质中胶结参数、温度和接触参数等对土层分界面处的透反射振幅比的影响规律。研究结果表明:入射P_1波的传播速度远小于饱和冻土介质中P_(1)波的传播速度,因此当P_(1)波从饱和土介质入射至饱和冻土介质中时将产生临界角,当入射角等于临界角时振幅比将发生突变;饱和土介质中渗透率对波的透反射振幅比影响较小,但其对于反射P_(2)波影响突出;饱和冻土介质中的温度、胶结参数的变化对于波的透反射振幅比的影响显著。Based on the wave propagation theory in saturated porous media and saturated frozen porous media,this study investigates transmission and reflection of P_(1) waves at the interface between saturated soil and saturated frozen soil.Using the Helmholtz vector decomposition principle and considering the boundary conditions at the interface between saturated soil and saturated frozen soil,analytical solutions for the transmission and reflection amplitude ratios of P_(1) waves from the saturated soil layer to the interface with saturated frozen soil layer is obtained.Through numerical calculations,the influences of incident frequency,incident angle,permeability of the saturated soil medium,cementation parameters,temperature,and contact parameters of the saturated frozen soil medium on the transmission and reflection amplitude ratios at the soil interface were analyzed.The research findings indicate that the propagation velocity of the incident P_(1) wave is significantly lower than that in the saturated frozen soil medium.Therefore,a critical angle arises when the P_(1) wave propagates from the saturated soil medium to the saturated frozen soil medium,and the amplitude ratio undergoes a sudden change when the incident angle equals the critical angle.The permeability of saturated soil has a minor impact on the transmission and reflection amplitude ratios of wave but has a prominent effect on the reflected P_(2) wave.Variations in temperature and cementation parameters of the saturated frozen soil medium significantly affect the transmission and reflection amplitude ratios of wave.

关 键 词：饱和土 饱和冻土 波的传播 反射振幅比 透射振幅比 

分 类 号：TU445[建筑科学—岩土工程]