相关随机变量拉丁超立方抽样及隧道掌子面稳定性概率分析

doi:10.3969/j.issn.1674-0696.2023.03.07

重庆交通大学学报（自然科学版） ›› 2023, Vol. 42 ›› Issue (3): 52-58.DOI: 10.3969/j.issn.1674-0696.2023.03.07

• 交通+大数据人工智能 • 上一篇

Latin Hypercube Sampling for Relevant Ramdom Variables and Probabilistic Analysis of Tunnel Face Stability

ZHANG Congxu1, LAN Yuansheng2, LI Bin2

(1. Road & Bridge International Co., Ltd., Beijing 100027, China; 2. School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, Hubei, China)

Received:2021-09-19 Revised:2023-02-12 Published:2023-05-11

摘要/Abstract

摘要： 总结了4种不同类型的相关随机变量拉丁超立方抽样原理，通过Python语言实现各种情况的相关随机变量拉丁超立方抽样；基于拉丁超立方抽样的样本，采用FLAC3D软件，对隧道掌子面稳定性进行确定性分析，统计了失效概率。结果表明：采用拉丁超立方抽样可以在满足计算精度、提高计算效率的同时，大大减少不确定性分析所需的样本数量。

关键词: 隧道工程；岩土工程；相关随机变量；标准正态分布

Abstract: The Latin hypercube sampling principles of four different types of relevant random variables were summarized and Latin hypercube sampling of relevant variables in various situations was realized through Python language. FLAC3D was utilized to perform deterministic analysis of tunnel face stability and calculate the failure probability based on the obtained samples generated by Latin hypercube sampling. The results show that Latin hypercube sampling can greatly reduce the number of samples required for uncertainty analysis while meeting the required computational accuracy and improving computational efficiency.

Key words: tunnel engineering; geotechnical engineering; relevant random variables; standard normal distribution

中图分类号:

U452
TU432

章从旭1，蓝元盛2，李斌2. 相关随机变量拉丁超立方抽样及隧道掌子面稳定性概率分析[J]. 重庆交通大学学报（自然科学版）, 2023, 42(3): 52-58.

ZHANG Congxu1, LAN Yuansheng2, LI Bin2. Latin Hypercube Sampling for Relevant Ramdom Variables and Probabilistic Analysis of Tunnel Face Stability[J]. Journal of Chongqing Jiaotong University(Natural Science), 2023, 42(3): 52-58.

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