中文摘要：

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。

英文摘要：

In order to study the effect of the random field on Biot consolidation, the local average theory is used. The analytic results show the significant effect of k among all the parameters of Duncan - Chang model for consolidatation settlement of the random field of geotechnical engineering parameters. The mean, standard deviation, and auto-correlation distance are used to describe their random features. The calculated results of the random field are compared with those of the traditional methods. The results show that the effect of the variability and auto-correlation distance of the parameter k is minor on the mean of the consolidation settlement, in contrast on the standard deviation. Inaddition, the standard deviation of the consolidation settlement will increase as the variability and auto-correlation distance of the parameter k increase, and the standard deviation of the consolidation settlement will be the ultimate when the auto-correlation distance tends infinity.