Slope reliability analysis is a critical aspect of geotechnical engineering, particularly under conditions of rainfall infiltration, where the spatial variability of soil parameters can significantly affect the reliability of slopes. Traditional methods like Monte Carlo simulation are often computationally intensive, severely challenging the design of cutting slopes considering the spatial variability of multiple soil parameters. To address this challenge, this study proposes a convolutional neural network (CNN)-based surrogate model to efficiently assess the reliability of unsaturated soil slopes. The CNN model is trained to establish an implicit relationship between the random field inputs of soil parameters and the corresponding slope stability outcomes, enabling rapid calculation of the probability of failure (Pf) under varying conditions. The results indicate that as rainfall intensity increases, the Pf rises. For the same slope cutting distance, a greater slope cutting angle leads to a higher Pf. Similarly, for the same slope cutting angle, increasing the slope cutting distance results in a higher Pf; and the impact of slope cutting distance on slope reliability is more significant than that of slope cutting angle. Additionally, for various rainfall conditions and slope cutting scenarios, the CNN-based surrogate model is integrated into the full probability reliability design method, and a design response surface is used to establish the relationship between design variables and reliability responses. It is found that the proposed approach can efficiently evaluate the reliability of all design schemes. A strategy for determining the optimal slope cutting scheme is finally provided as practical guidance to meet the target reliability.
{"title":"Reliability analysis and design of soil slopes considering spatial variability under rainfall infiltration","authors":"Wen-Qing Zhu, Shuang-Lin Zhao, Han Han, Lei-Lei Liu, Wen-Gang Zhang, Shao-He Zhang, Yung-Ming Cheng","doi":"10.1002/esp.6057","DOIUrl":"https://doi.org/10.1002/esp.6057","url":null,"abstract":"<p>Slope reliability analysis is a critical aspect of geotechnical engineering, particularly under conditions of rainfall infiltration, where the spatial variability of soil parameters can significantly affect the reliability of slopes. Traditional methods like Monte Carlo simulation are often computationally intensive, severely challenging the design of cutting slopes considering the spatial variability of multiple soil parameters. To address this challenge, this study proposes a convolutional neural network (CNN)-based surrogate model to efficiently assess the reliability of unsaturated soil slopes. The CNN model is trained to establish an implicit relationship between the random field inputs of soil parameters and the corresponding slope stability outcomes, enabling rapid calculation of the probability of failure (<i>P</i><sub><i>f</i></sub>) under varying conditions. The results indicate that as rainfall intensity increases, the <i>P</i><sub><i>f</i></sub> rises. For the same slope cutting distance, a greater slope cutting angle leads to a higher <i>P</i><sub><i>f</i></sub>. Similarly, for the same slope cutting angle, increasing the slope cutting distance results in a higher <i>P</i><sub><i>f</i></sub>; and the impact of slope cutting distance on slope reliability is more significant than that of slope cutting angle. Additionally, for various rainfall conditions and slope cutting scenarios, the CNN-based surrogate model is integrated into the full probability reliability design method, and a design response surface is used to establish the relationship between design variables and reliability responses. It is found that the proposed approach can efficiently evaluate the reliability of all design schemes. A strategy for determining the optimal slope cutting scheme is finally provided as practical guidance to meet the target reliability.</p>","PeriodicalId":11408,"journal":{"name":"Earth Surface Processes and Landforms","volume":"50 1","pages":""},"PeriodicalIF":2.8,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143121048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The interactions of supercritical flows with sand or gravel beds in river channels or tidal inlets lead to the formation of antidunes. These bedforms are generally identified as nearly periodic sedimentary patterns of symmetrical shape that are in phase with the surface waves in the flow and have important effects on flow resistance and bedload transport. In addition, they play a fundamental role on morphodynamical processes in estuarine systems, on the scour around hydraulic infrastructure, and their bed signature can help to interpret paleofloods from sedimentary records. Despite the importance and ubiquity of antidunes in environmental flows, very few numerical simulations have captured their dynamics. In this work, we develop a model that couples the shallow-water and Exner equations in two-dimensions (2D) and demonstrate that a higher-level theory can reproduce the experimental antidune results of Pascal et al. (2021), independent of interactions at the particle scale. The flows are characterised by Froude numbers between 1.31 and 1.45, sediment diameters of