论文部分内容阅读
针对横观各向同性饱和两相介质的弹性波动问题,分别应用空间解耦技术和时域显式逐步积分计算格式完成对该问题的有限元空间离散和时间离散,建立了横观各向同性饱和两相介质波动问题计算分析的时域显式有限元方法。应用该方法进行了输入地震波作用下横观各向同性饱和两相介质动力反应的计算分析,并将计算结果与完全各向同性饱和两相介质的计算结果进行对比研究,并对各向异性系数取值对于横观各向同性饱和两相介质动力反应计算结果的影响进行了研究和讨论。计算结果表明,横观各向同性饱和两相介质与完全各向同性饱和两相介质的动力反应特性具有较为显著的差异,各向异性系数取值对于横观各向同性饱和两相介质动力反应计算结果具有较为重要的影响。本文的数值计算工作同时表明,本文建立的时域显式有限元方法是进行横观各向同性饱和两相介质动力反应计算分析的一种有效方法。
In order to solve the problem of elastic wave propagation in transversely isotropic saturated two-phase media, the finite element space discretization and time discretization of the problem are completed by using the space decoupling technique and the explicit explicit formula of time-domain explicit step-by- Time Explicit Finite Element Method for Computational Analysis of Fluctuation of Saturated Two - Phase Medium. The method is applied to calculate and analyze the dynamic response of a transversely isotropic saturated two-phase medium under the action of input seismic waves. The calculated results are compared with those of the completely isotropic saturated two-phase medium. The anisotropic coefficient The influence of the value on the calculation of the dynamic response of a transversely isotropic saturated two-phase medium is studied and discussed. The calculated results show that the dynamic response characteristics of two-phase media with transversely isotropic saturated and completely isotropic saturated media have significant differences. The anisotropic coefficient has a significant effect on the dynamic response of two-phase media with transversely isotropic saturation The calculation result has a more important influence. The numerical calculation in this paper also shows that the explicit finite element method in time domain established in this paper is an effective method to calculate and analyze the dynamic response of two-phase transversely isotropic saturated media.