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应用混合物连续介质理论,考虑了土颗粒骨架、冰、水三相介质,选取土颗粒位移、孔隙水位移、孔隙水压和孔隙冰压为基本变量,采用Bishop有效应力原理,建立了饱和冻土多孔介质的弹性波弥散方程。经理论推导,给出了饱和冻土中弹性波的传播速度及衰减的解析表达式。通过数值算例,探讨了饱和冻土中两种压缩波(Pl波和P2波)及剪切波(S波)的波速和衰减与频率和孔隙率、含冰量等土参数的关系。通过参数分析研究了饱和冻土中3种体波的传播特性。
Based on the continuum theory of mixture, three-phase media of soil particles, ice and water were considered. The displacement of soil particles, the displacement of pore water, the pore water pressure and the ice pressure of pore were taken as the basic variables. By using the effective stress principle of Bishop, Elastic wave dispersion equation of porous media. Derived from theory, the analytical expression of the propagation velocity and attenuation of elastic wave in saturated frozen soil is given. Numerical examples are given to investigate the relationship between wave velocity and attenuation of two kinds of compressional waves (Pl wave and P2 wave) and shear wave (S wave) in saturated frozen soil and soil parameters such as frequency, porosity and ice content. The propagation characteristics of three kinds of body waves in saturated frozen soil are studied by parameter analysis.