水利学报Issue(7)：850-857,8.DOI:10.13243/j.cnki.slxb.2014.07.012
单相与多相介质中弹性波波速相关问题对比研究
Comparative study on wave velocity related problems of elastic waves in mono-phase and multi-phase media
摘要
Abstract
From mono-phase media to two-phase and three-phase porous media, through studying the rela-tion between Rayleigh wave velocity and Body waves velocities,the conditions for the existence of the Ray-leigh waves at the half-space surface of those three kinds of media are obtained. Moreover, the connection and difference among their theoretical solving processes are analyzed. The two kinds of elastic wave propaga-tion velocities achieved by different definition formulas are compared theoretically. Taking two-phase porous medium as an example,numerical calculations are conducted in order to intuitively compare those two prop-agation velocities. The numerical results show that:(1) for the fast compressional wave (P1) and shear wave (S), the variation curves of the two propagation velocities with frequency, known as dispersion curves,overlap each other;(2) For the slow compressional wave (P2) and Rayleigh waves,the two disper-sion curves separate from each other, which means that discrepancy exists between the values of the two propagation velocities;(3) The variation trends of the two propagation velocities with frequency are basical-ly coincident. Finally, the numerical results of the ratio between the imaginary part and the real part of wave number verify those findings.关键词
半空间/Rayleigh波/体波/波速/传播速度/波数Key words
half-space/Rayleigh wave/body waves/wave velocity/propagation velocity/wave number分类
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刘志军,夏唐代,陈炜昀..单相与多相介质中弹性波波速相关问题对比研究[J].水利学报,2014,(7):850-857,8.基金项目
国家自然科学基金高铁联合基金重点支持项目(U1234204),国家自然科学基金资助项目(51378463) （U1234204）
