Rock and Soil Mechanics ›› 2021, Vol. 42 ›› Issue (11): 3157-3168.doi: 10.16285/j.rsm.2021.5464

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Reliability analysis of slope and random response of anti-sliding pile considering spatial variability of rock mass properties

ZHANG Wen-gang1, 2, 3, WANG Qi2, CHEN Fu-yong2, CHEN Long-long2, WANG Lu-qi2, WANG Lin2, ZHANG Yan-mei4, WANG Yu-qi5, ZHU Xing6   

  1. 1. Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing University, Chongqing 400045, China 2. School of Civil Engineering, Chongqing University, Chongqing 400045, China 3. National Joint Engineering Research Center of Geohazards Prevention in the Reservoir Areas, Chongqing University, Chongqing 400045, China 4. College of Aerospace Engineering, Chongqing University, Chongqing 400044, China 5. China Railway 19th Bureau Group Sixth Engineering Co. Ltd, Wuxi, Jiangsu 214028, China 6. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu, Sichuan 610059, China
  • Online:2021-11-11 Published:2022-02-23
  • Contact: ZHANG Yan-mei, female, born in 1982, PhD, Associate Professor, research interests: mechanics theory analysis, finite element numerical simulation. E-mail:
  • About author:ZHANG Wen-gang, male, born in 1983, PhD, Professor, doctoral supervisor, research interests: geotechnical engineering reliability and risk control.
  • Supported by:
    the National Key R&D Program of China (2019YFC1509605) and the Program of China Scholarships Council (201906050026) and the National Natural Science Foundation of China (51778092).

Abstract:  In the reliability analysis of slope stability, the deterministic analysis method is usually used to calculate the safety factor to evaluate the stability of slope. However, the inherent spatial variability of rock mass properties cannot be considered and described adequately in traditional deterministic method, resulting in the inaccurate calculation of slope failure probability. Based on Hoek-Brown criterion and random finite difference method (RFDM), the reliability analysis of slope stability and random response of pile are discussed in this paper considering spatial variability of rock mass. The uniaxial compressive strength σci and material constant for the intact rock mi are regarded as random field variables and geological strength index GSI is assumed to be a random variable. The results show that the spatial variability of rock mass parameters has a significant effect on slope failure probability and pile response. Ignoring the spatial variability of rock mass parameters will overestimate slope failure probability and the mean value of the maximum bending moment of anti-slide pile, and underestimate the mean value of displacement at pile head. The results can provide design guidance for slope reinforcement as well as layout optimization of anti-sliding piles.

Key words: reliability assessment of slopes, spatial variability, Hoek-Brown criterion, random finite difference method (RFDM), random response