邓肯一张模型参数对比奥随机固结的影响

摘要

Deriving the Biot stochastic consolidation finite element equation, and Treating the four geotechnical parameters k, c,φ, and G in Duncan-Chang model which have important effects on consolidation as random field, the effects of their variability with the same auto-correlation distance on consolidation problem are studied using Monte Carlo simulation .The analysis results show mat the effects of variability of the four parameters are minor on the mean value of the consolidation, in contrast on the standard deviation. The random of k、φ has important effect on vertical displacement, while k,φ. G play vital roles on stochastic horizontal displacements. The random of C has little effect on consolidation. The random of G is caused by test.%推导出比奥随机固结有限元方程,将对比奥固结影响显著的邓肯一张模型参数k、C、φ、G模拟为随机场,采用Mont-Carlo法实现随机固结有限元程序,在某一自关距离下研究4个参数的不同变异对比奥随机固结的影响.发现参数的变异对计算结果的均值影响不大;而对计算结果的变异性影响较大:对竖向位移影响显著的是k、φ的随机性,而对侧向位移影响显著的是k、φ、G,参数C的随机性影响较弱.参数G的随机性影响是后天引起的,可以通过提高试验精度,改进分析方法减小随机性.