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采用随机场的局部平均理论分析邓肯–张本构模型中对比奥固结沉降影响最显著的参数k,探讨岩土参数随机场对固结沉降的影响规律。用均值、标准差和自相关距离描述参数的随机特性,将随机计算结果进行统计分析并与传统的有限元解对比分析。发现参数的变异性和相关距离对固结沉降的均值影响不大,而对标准差的影响较大,随着变异性和自相关距离的增大,固结沉降的标准差增大,当自相关距离趋于无穷大即为随机变量时所引起的固结沉降标准差最大。
The local average theory of random field is used to analyze the parameter k which has the most significant influence on the settlement of the Bauxite consolidation in the Duncan-Chang constitutive model. The influence of the random field on consolidation settlement is discussed. The random characteristics of the parameters are described by mean value, standard deviation and autocorrelation distance. The results of random calculation are statistically analyzed and compared with the traditional finite element solutions. It is found that the variability of the parameters and the relative distance have little effect on the mean value of consolidation settlement but have a greater impact on the standard deviation. As the variability and the autocorrelation distance increase, the standard deviation of consolidation settlement increases. The correlation distance tends to infinity, which is the largest standard deviation of consolidation settlement caused by random variables.