岩土力学 ›› 2021, Vol. 42 ›› Issue (9): 2589-2599.doi: 10.16285/j.rsm.2020.1792

• 岩土工程研究 • 上一篇    下一篇

基于结构面参数概率分布更新的 节理岩质边坡可靠性分析

蒋水华1, 2,欧阳苏1,冯泽文1,康青1,黄劲松1,杨志刚1   

  1. 1. 南昌大学 建筑工程学院,江西 南昌 330031;2. 中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,湖北 武汉 430071
  • 收稿日期:2020-11-30 修回日期:2021-05-08 出版日期:2021-09-10 发布日期:2021-08-31
  • 通讯作者: 杨志刚,男,1972年生,博士,副教授,主要从事水工结构可靠度分析方面的研究工作。E-mail: yzgchm@163.com E-mail:sjiangaa@ncu.edu.cn
  • 作者简介:蒋水华,男,1987年生,博士,副教授,主要从事岩土工程可靠度与风险分析方面的研究工作。
  • 基金资助:
    国家自然科学基金项目(No.41867036,No.41972280,No.52179103,No.U1765207);岩土力学与工程国家重点实验室资助课题(No.Z019019);江西省自然科学基金项目(No.20192BBG70078)

Reliability analysis of jointed rock slopes using updated probability distributions of structural plane parameters

JIANG Shui-hua1, 2, OUYANG Su1, FENG Ze-wen1, KANG Qing1, HUANG Jin-song1, YANG Zhi-gang1   

  1. 1. School of Civil Engineering and Architecture, Nanchang University, Nanchang, Jiangxi 330031, China; 2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, Hubei 430071, China
  • Received:2020-11-30 Revised:2021-05-08 Online:2021-09-10 Published:2021-08-31
  • Supported by:
    This work was supported by the National Natural Science Foundation of China(41867036, 41972280, 52179103, U1765207), the Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering(Z019019) and Jiangxi Provincial Natural Science Foundation(20192BBG70078).

摘要: 岩质边坡节理裂隙通常十分复杂且其分布具有较大的随机性,准确地模拟岩体随机裂隙网络对边坡稳定性分析至关重要,然而目前的模拟方法不能较好融合结构面露头实测数据。提出基于贝叶斯更新方法优化结构面几何和抗剪强度参数概率分布,修正边坡岩体随机裂隙网络模型,其中将融合的结构面现场实测数据表征为样本分布。在此基础上,同时考虑结构面几何参数(倾角、迹长)和抗剪强度参数(内摩擦角、黏聚力)的不确定性,采用非侵入式随机有限元法进行节理岩质边坡可靠度分析。以小湾水电站左岸4号山梁边坡模型为例说明提出方法的有效性。结果表明:贝叶斯更新方法和解析解获得的结构面参数后验概率分布几乎一致,前者能够有效地融合现场实测数据降低对结构面参数不确定性的估计和优化参数概率分布,进而生成更贴近工程实际的边坡岩体裂隙网络模型和获得更客观的边坡可靠性分析结果。采用结构面参数后验信息生成边坡岩体裂隙网络模型和进行边坡可靠性分析,获得的后验失效概率显著低于边坡先验失效概率。

关键词: 节理岩质边坡, 结构面, 几何参数, 随机裂隙网络, 贝叶斯更新, 可靠性分析

Abstract: Due to the complexity and obvious random distribution features of joints and fractures in the rock slope, accurately simulating the random fracture network is crucial for slope stability evaluation. However, the current methods cannot effectively make full use of the measured data of structural outcrops. This paper adopts a Bayesian updating approach to optimize the probability distributions of geometric and shear strength parameters of structural planes and correct the random fracture network of rock mass by using field measured data. The field measured data of structural planes are characterized as sample distributions. Based on these, a non-intrusive stochastic finite element method is employed to conduct reliability analysis of jointed rock slopes considering the uncertainties of geometric parameters (e.g., dip and trace length) and shear strength parameters (e.g., friction angle and cohesion) of structural planes at the same time. Finally, a simplified slope model selected from the left bank of Xiaowan hydropower station is adopted to validate the effectiveness of the proposed method. The results indicate that the probability distributions of structural plane parameters inferred from the Bayesian updating approach agree well with the corresponding analytical solutions. The Bayesian updating approach can effectively reduce the estimation of uncertainties and optimize the probability distributions of the structural plane parameters by incorporating the field measured data. Furthermore, more realistic fracture network models and reliability analysis results of the slope can be obtained. When the posterior information of structural plane parameters is used to generate a fracture network model and conduct slope reliability analysis, the estimated posterior probability of slope failure will be greatly smaller than the prior probability of slope failure.

Key words: jointed rock slope, structural plane, geometric parameter, random fracture network, Bayesian updating, reliability analysis

中图分类号: TU452
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