With the Stochastic Finite Element Method (SFEM), the spatial variability of soil properties can be incorporated into the analysis of geotechnical structures. Although this method is significantly superior in principle to the homogeneous analysis of soil parameters, generalizing the method in engineering practice is difficult due to its computational inefficiency. In this paper, we propose a new method for the fast calculation of convergence results. The proposed method introduces a distance space to the Monte Carlo Method (MCM) random field instances and, considering the importance of a safety margin in structures, uses selected spatial interpolation to predict the MCM instances to be solved. Two case study simulations are presented. The results show that compared to the full Monte Carlo Simulation, the fast calculation method proposed in this paper can achieve very accurate convergence results while substantially reducing the computational cost, and the simulation errors for the structure are on the safer side.

中文翻译：

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基于蒙特卡罗模拟的考虑土壤参数空间变异性的土壤介质有限元分析预测方法

使用随机有限元方法（SFEM），可以将土壤特性的空间变异性纳入岩土结构的分析中。尽管该方法在原理上明显优于对土壤参数的均质分析，但由于其计算效率低，因此很难在工程实践中将其推广。在本文中，我们提出了一种快速计算收敛结果的新方法。所提出的方法将距离空间引入了蒙特卡洛方法（MCM）随机字段实例，并且考虑到结构中安全裕度的重要性，使用选定的空间插值来预测要求解的MCM实例。提出了两个案例研究模拟。结果表明，与完整的蒙特卡洛模拟相比，