饱和多孔热弹体界面SV波反射的松弛效应

在Biot波动理论及饱和多孔热弹性波动理论基础上,引入三个松弛因子,建立了广义饱和多孔热弹性波动理论。通过对SV波在界面上的反射问题进行分析,得到了p1、p2、T及S波反射系数表达式,并利用算例对比分析了基于广义饱和多孔热弹性波动理论(G-TE)与L-S、G-L热弹性波动理论的SV波界面上反射系数的差异,讨论了松弛因子对反射系数的影响。结果表明:G-TE理论、L-S理论、G-L理论模型对p1、p2、S波反射幅值计算结果有较大的影响,且影响规律各不相同。松弛因子对p2波的影响较大,对p1波和S波的影响较小。

Relaxation effects of reflection of SV waves at surface of saturated porous thermoelasticity

Based on the Biot's wave theory and thermoelastic theory for saturated porous medium, three relaxation factors are introduced and the generalized thermoelastic theory for saturated porous medium is developed. Reflection of SV waves at the surface of the plane is used to analyze the influence of relaxation effect on the reflection, the expressions of the reflection coefficient for the p1 wave, p2 wave, T-wave and S-wave are derived. Numerical results are obtained and used to discuss the difference of reflection amplitude for four kinds of reflection waves among the generalized thermoelastic theory(G-TE), L-S theory, and G-L theory. The effect of the relaxation time factors is also discussed. It is indicated that there is apparent effect of G-TE), L-S theory, and G-L theory on the results and is different for p1 wave, p2 wave and S-wave. In addition, there is greater effect of relaxation time on p2 wave, and less effect on p1wave, and the effect can be omitted on the S wave.