基于显式有限元方法的两相多孔介质地震反应研究

Seismic Response Analysis to Fluid-saturated Porous Media Based on Explicit Finite Element Method

基于流体饱和两相多孔介质的弹性波动方程组,运用显式逐步积分格式与局部透射人工边界相结合的时域显式有限元方法对该波动方程组进行求解,对两相多孔介质在输入地震波作用下的弹性动力反应进行了计算和分析,以揭示两相多孔介质弹性地震反应的规律和性质。计算结果表明:两相介质弹性地震反应时程的波形与入射地震波的波形相同,且弹性地震反应的峰值出现的时刻对应于入射地震波的峰值出现的时刻。本文的数值计算同时表明了时域显式有限元方法在进行两相多孔介质地震反应计算分析时的有效性。

The elastic wave equations of fluid-saturated porous media are solved by the time-domain explicit finite element method consisting of explicit step-by-step integral format and local transmitting artifical boundary, and the elastic dynamic response excited by input earthquake wave is evaluated and analyzed to find out the law and property of elastic seismic response of fluid-saturated porous media. The simulated results show that the figures of elastic seismic response time history of porous media are the same as the figures of input earthquake wave, and the time appearing the peak elastic seismic response corresponds to the time of the peak input earthquake wave.