Reliability Analysis of Layered Soil Slopes Considering Different Spatial Autocorrelation Structures
Reliability Analysis of Layered Soil Slopes Considering Different Spatial Autocorrelation Structures
复制标题
DOI：
10.3390/app10114029
复制
发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
Shaohe Zhang;Yuehua Li;Li Jingze;Leilei Liu
中科院分区：
文献类型：
--
作者：
Shaohe Zhang;Yuehua Li;Li Jingze;Leilei Liu
人们普遍认识到，不同的地质构造在空间上往往有不同的变化。因此，不同层次的土壤特性应采用不同的自相关函数来反映土壤的异质性。然而，在边坡可靠度分析中，为了简便起见，文献中经常对不同土层使用相同的ACF。本文研究了活性炭纤维对层状土质边坡可靠度分析的影响，不同的活性炭纤维考虑了不同土层的土性。本文研究了五种常用的经典ACF和非经典的Whittle-Matérn模型。利用Cholesky分解和Monte Carlo模拟方法分别模拟了土壤性质的空间变异性和边坡的破坏概率。各种参数研究的说明性例子表明，当不同层的土壤性质的特征在于相同的ACF，所研究的斜坡的Pf与使用不同的ACF为不同的土层估计。这表明ACF的类型对边坡可靠性评估的影响很小。然而，Pf可能被低估的单指数ACF和高估的余弦指数ACF。土性波动的大小对边坡可靠度的影响大于自抗剪强度。此外，非经典模型中的光滑度参数对边坡的可靠度有显著影响，Pf随光滑度参数的增大而增大。
It is widely recognized that different geological formations often vary differently in space. Therefore, soil properties from different layers should be modeled by different autocorrelation functions (ACFs) to reflect such soil heterogeneity. However, the same ACFs are frequently used for different soil layers in slope reliability analysis for simplicity purpose in the literature. The present work is a study on the effects of ACFs on the reliability analysis of layered soil slopes, where the soil properties of different layers are considered by different ACFs. Five commonly used classical ACFs and the non-classical Whittle–Matérn model were investigated in this study. Cholesky decomposition and Monte Carlo simulation were used to simulate the spatial variability of the soil properties and estimate the probability of failure (Pf) of slopes, respectively. Illustrative examples with various parametric studies show that when the soil properties from different layers are characterized by the same ACFs, the Pf of the studied slopes is comparable with that estimated using different ACFs for different soil layers. This indicates that the type of ACF has only a small impact on the slope reliability assessment. However, the Pf may be underestimated by the single exponential ACF and overestimated by the cosine exponential ACF. The scale of fluctuation of the soil properties influences the slope reliability more than the ACFs. In addition, the smoothness parameter in the non-classical model has a significant influence on the reliability of the slope, where Pf increases with the increase of the smoothness parameter.