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Efficient reliability analysis of slopes integrating the random field method and a Gaussian process regression‐based surrogate model
International Journal for Numerical and Analytical Methods in Geomechanics ( IF 4 ) Pub Date : 2020-11-21 , DOI: 10.1002/nag.3169
Bin Zhu 1, 2 , Tetsuya Hiraishi 2 , Huafu Pei 1 , Qing Yang 1
Affiliation  

Efficient evaluation of slope stability is a frontier in geo‐disaster prevention fields. While many slope stability evaluation methods, ranging from deterministic to probabilistic, have been proposed, reliability methods are particularly advantageous as they can account for uncertainties during slope stability evaluation. To address the problem of the low efficiency of direct Monte Carlo simulations and overcome the defects of the traditional response surface method, in this work, a novel probabilistic procedure that integrates a Gaussian process regression‐based surrogate model and the random limit equilibrium method for slope stability evaluation while accounting for the spatial variability of soil strength is proposed. The novel Gaussian process regression‐based surrogate model is efficiently used in the Monte Carlo simulation to reduce the number of calls for direct stability analysis of a slope with spatially varied soil strength. To verify the accuracy and efficiency of the proposed procedure, it was applied to three case studies: the first one is a slope in saturated clay under undrained conditions; the second one is a slope for which the friction angle and cohesion values are cross‐correlated; and the third one is a real slope with multiple soil layers. The results obtained from the comparisons with other methods confirmed the precision and feasibility of the proposed procedure.

中文翻译:

结合随机场方法和基于高斯过程回归的替代模型对边坡进行有效的可靠性分析

有效的边坡稳定性评估是预防地质灾害领域的前沿领域。虽然已经提出了从确定性到概率性的许多边坡稳定性评估方法,但是可靠性方法是特别有利的,因为它们可以解决边坡稳定性评估期间的不确定性。为了解决直接蒙特卡罗模拟效率低的问题,并克服了传统响应面方法的缺陷,在这项工作中,提出了一种新的概率方法,该方法将基于高斯过程回归的替代模型和随机极限平衡法相结合在考虑土壤强度的空间变异性的基础上提出了稳定性评价方法。新颖的基于高斯过程回归的替代模型在蒙特卡洛模拟中得到了有效使用,从而减少了对具有不同土壤强度的边坡进行直接稳定性分析的要求。为了验证所提方法的准确性和效率,将其应用于三个案例研究:第一个案例是在不排水条件下饱和粘土中的斜坡;第二个是坡度,摩擦角和内聚力值互相关。第三个是具有多个土壤层的真实斜坡。通过与其他方法的比较获得的结果证实了所提出程序的准确性和可行性。它被用于三个案例研究:第一个是在不排水条件下饱和粘土中的斜坡。第二个是坡度,其摩擦角和内聚力值相互关联;第三个是具有多个土壤层的真实斜坡。通过与其他方法的比较获得的结果证实了所提出程序的准确性和可行性。它被用于三个案例研究:第一个是在不排水条件下饱和粘土中的斜坡。第二个是坡度,其摩擦角和内聚力值相互关联;第三个是具有多个土壤层的真实斜坡。通过与其他方法的比较获得的结果证实了所提出程序的准确性和可行性。
更新日期:2020-11-21
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