基于克里金模型的边坡稳定可靠度分析方法

发布时间：2018-05-06 04:13

本文选题：边坡工程 + 克里金(Krigin)模型　；参考：《岩土力学》2015年S1期

【摘要】：边坡工程的复杂性不仅表现为各岩土参数的变异性和非确定性,而且还在于其极限状态功能函数的非解析性及隐式性。以Janbu法为例,研究了隐式功能函数下易于执行的边坡工程稳定可靠度计算方法。首先,调用边坡极限平衡模式获得岩土基本参数,并利用拉丁超立方试验设计抽取影响边坡稳定性基本参数的适量初始样本。其次,采用地质统计学中的克里金(Kriging)各向异性关联映射方法,将边坡功能函数值表述为随机过程。然后,结合主动学习方法,基于搜索规则调整训练样本,通过反复迭代循环确定满足实际工程精度的随机过程所表示的边坡功能函数。最后,调用随机过程函数通过验算点法(JC法)获得边坡的失效概率。工程算例分析表明,文中方法的求解精度与蒙特卡洛模拟方法相当,但计算过程简明,效率高,更具工程实用性。
[Abstract]:The complexity of slope engineering lies not only in the variability and uncertainty of each geotechnical parameter, but also in the non-analytical and implicit function of its limit state function. Taking the Janbu method as an example, the calculation method of slope engineering stability reliability which is easy to perform under implicit function function is studied. Firstly, the basic parameters of rock and soil are obtained by using the limit equilibrium model of slope, and the appropriate initial samples which affect the basic parameters of slope stability are extracted by using Latin hypercube test design. Secondly, using the method of Kriginganisotropic correlation mapping in geostatistics, the function function of slope is expressed as a stochastic process. Then, combining the active learning method, the training samples are adjusted based on the search rules, and the slope function functions expressed by random processes satisfying the actual engineering accuracy are determined by iterative cycles. Finally, the failure probability of slope is obtained by means of checking point method (JC method) by calling random process function. The analysis of engineering example shows that the accuracy of the method is similar to that of Monte Carlo simulation method, but the calculation process is simple, high efficiency and more practical.
【作者单位】：湘潭大学土木工程与力学学院;湖南大学岩土工程研究所;
【基金】：国家自然科学基金(No.51108397) 湖南省自然科学基金(No.2015JJ2136) 湘潭大学人才引进基金(No.KZ08026)
【分类号】：TU43

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