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边坡等岩土工程的复杂性不仅体现在各类岩土参数的变异性,同时还在于其功能函数模式的隐含性、非解析性甚至未确知性,针对这一特性,以边坡极限平衡模式为范例研究出一种易于执行的边坡工程稳定可靠度直接求解算法。首先,调用边坡极限平衡模式获得岩土基本参数及其对应的边坡稳定系数的适量样本;然后,采用地质统计学中的Kriging各向异性关联映射方法,将边坡功能函数值表达为随机过程并通过样本确定该过程的控制变量,再结合蒙特卡洛模拟与主动学习方法,基于搜索规则调整训练样本,通过迭代循环确定随机过程表示的边坡功能函数所在的最可能失效区域;最后,调用随机过程函数在该区域通过简易的直接计算获得边坡失效概率。工程实例分析与计算结果表明该方法精度与蒙特卡洛海量模拟方法相当,但计算过程直接简易,计算代价低,具有较好的实用性。
The complexity of geotechnical engineering such as slope is not only reflected in the variability of all kinds of geotechnical parameters, but also implied, non-analytical or even unascertained of its functional mode. According to this characteristic, Equilibrium model as an example, an easy-to-implement algorithm for solving the stability of slope engineering is proposed. First of all, the basic parameters of rock and soil and the corresponding amount of slope stability coefficient are obtained by calling the limit equilibrium model of the slope. Then, the Kriging anisotropy correlation mapping method in geostatistics is used to express the function value of the slope as random Then the control variables of the process are determined through the sample. Combined with Monte Carlo simulation and active learning methods, the training samples are adjusted based on the search rules and the most probable failure area of the slope function function represented by the random process is determined through iterative loop. Finally, The stochastic process function is called to obtain the probability of slope failure in this area through simple direct calculation. The engineering example analysis and calculation results show that the accuracy of this method is comparable to that of Monte Carlo mass simulation method, but the calculation process is straightforward, the calculation cost is low, and it has good practicability.