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从单相介质到双相及三相多孔介质,通过研究Rayleigh波波速与体波波速之间的关系,得到了3种介质下半空间表面Rayleigh波存在所需满足的条件,以及分析了其理论求解过程之间的联系与差异。对由两种不同定义式得到的平面弹性波传播速度进行了理论分析,并以双相多孔介质为例,通过数值计算直观地对两者进行了比较,结果表明:(1)对于快纵波(P1)和剪切波(S),两种传播速度随频率的变化曲线(即弥散曲线)重叠;(2)对于慢纵波(P2)和Rayleigh波,两条弥散曲线分离,两种传播速度在数值上存在一定差异;(3)两者随频率的变化趋势基本一致。弹性波波数虚部与实部的比值的数值计算结果验证了上述结论。
From single-phase media to biphasic and three-phase porous media, the Rayleigh wave velocity and bulk wave velocity are studied. The conditions for the existence of Rayleigh wave in the half-space surface under three kinds of media are obtained, and their theories Solve the connection between the process and differences. The propagation velocity of plane elastic wave obtained from two different definitional equations is theoretically analyzed. Taking the biphasic porous medium as an example, the two are compared intuitively by numerical calculation. The results show that: (1) P1) and shear wave (S), the two propagation velocities overlap with the frequency curve (ie dispersion curve); (2) For the slow longitudinal wave (P2) and the Rayleigh wave, the two dispersion curves are separated, There is a certain difference in the value; (3) both with the frequency of the trend is basically the same. The numerical results of the ratio of the imaginary part to the real part of the elastic wave number validate the above conclusion.