土介质中弹性波传播规律的数值研究
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摘要
通过Biot两相介质波动理论得到饱和土中的弹性波弥散方程,再以两组数值算例分析不同频率和土体渗透性情况下的压缩波速和剪切波速变化情况,研究饱和土中波的弥散特性。结果表明,饱和土两相介质中的流体与土骨架的耦合作用会对弹性波传播产生影响,而气体与土骨架的耦合作用要比水与土骨架之间的耦合作用弱很多,水饱和土中的压缩波速会大于纯水中的压缩波速,与试验结果一致。
Based on the saturated soil elastic wave dispersion solution obtained by Biot's two-phase medium wave theory, the numerical examples are used to analyze the variation of compression wave velocity and shear wave velocity under different frequencies and soil permeability, and the dispersion characteristics of the wave in saturated soil are studied. The results show that the interaction between fluid and soil skeleton in saturated soil two-phase medium will affect the elastic wave propagation, and the interaction between gas and soil skeleton is much weaker than the interaction between water and soil skeleton. The compression wave velocity in the saturated soil will be greater than the compression wave velocity in pure water, which is consistent with the test results.
Based on the saturated soil elastic wave dispersion solution obtained by Biot's two-phase medium wave theory, the numerical examples are used to analyze the variation of compression wave velocity and shear wave velocity under different frequencies and soil permeability, and the dispersion characteristics of the wave in saturated soil are studied. The results show that the interaction between fluid and soil skeleton in saturated soil two-phase medium will affect the elastic wave propagation, and the interaction between gas and soil skeleton is much weaker than the interaction between water and soil skeleton. The compression wave velocity in the saturated soil will be greater than the compression wave velocity in pure water, which is consistent with the test results.
引文
[1]BIOT M A.Theory of propagation of elastic w aves in a fluid-saturated porous solid[J].Journal of the acoustical society of america,1956,28:168-191.
[2]BIOT M A.Generalized theory of acoustic propagation in porous dissipative media[J].Journal of the acoustical society of america,1962,34:1254-1264.
[3]黄茂松,李进军.饱和多孔介质土动力学理论与数值解法[J].同济大学学报(自然科学版),2004,32(7):851-856.
[4]杨峻,吴世明,蔡袁强.饱和土中弹性波的传播特性[J].振动工程学报,1996,9(2):128-137.
[5]夏唐代,周新民.气饱和土中弹性波的传播特性[J].江南大学学报(自然科学版),2006,5(6):711-714.
[2]BIOT M A.Generalized theory of acoustic propagation in porous dissipative media[J].Journal of the acoustical society of america,1962,34:1254-1264.
[3]黄茂松,李进军.饱和多孔介质土动力学理论与数值解法[J].同济大学学报(自然科学版),2004,32(7):851-856.
[4]杨峻,吴世明,蔡袁强.饱和土中弹性波的传播特性[J].振动工程学报,1996,9(2):128-137.
[5]夏唐代,周新民.气饱和土中弹性波的传播特性[J].江南大学学报(自然科学版),2006,5(6):711-714.