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岩质边坡随机楔体稳定性分析的Monte-Carlo模拟 被引量:7

Random Wedge Block Stability Analysis with Monte Carlo Simulation for Rock Slope
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摘要 结构面组合形成的楔体滑动是岩质边坡的一个主要失稳模式。本文依据统计学理论和概率理论,将Monte-Carlo模拟引入到岩质边坡随机楔体的稳定性分析中,通过设定随机过程,计算参数估计量和统计量,研究了节理的随机分布特征,同时建立了随机楔体模型,采用极限平衡理论计算了楔体的破坏概率,并针对实际工程中经常遇到的小楔体失稳概率较大的现象,为避免小概率蒙特卡罗采样造成计算机资源和时间的浪费,对模拟次数和计算误差进行了探讨,结果表明:基于Monte-Carlo模拟的随机楔体可靠性分析为岩质边坡随机楔体稳定性分析提供了一条新的思路,可为边坡加固提供理论依据。 Wedge body slide formed by the structure surface combination is the major instability mode for rock slope. In combination with statistics theory and probability theory, this paper introduces Monte-Carlo simulation into the stability analysis of random wedge body. The paper studies the random distribution characteristics of joints through setting up the stochastic process and calculating estimated and statistical parameters, establishes the random wedge body model with the limit equilibrium theory to calculate the failure probability of wedge body, and, in view of the big instability probability for small wedge body frequently encountered in actual engineering, discusses the simulation times and calculation errors to avoid the waste of time and computer resources due to small-probability Monte-Carlo sampling. The results show that the random wedge body reliability analysis based on Monte-Carlo simulation for random wedge body offers a new thought for the for rocky slope stability and therefore can provide the theoretical basis for slope reinforcement.
出处 《安全与环境工程》 CAS 北大核心 2012年第1期112-116,共5页 Safety and Environmental Engineering
关键词 岩质边坡 随机楔体 MONTE-CARLO模拟 可靠性分析 破坏概率 稳定性分析 rock slope random wedge block Monte-Carlo simulation reliability analysis failure probability stability analysis
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  • 1张永兴,朱凡,姜广荣.考虑滑面变形的楔形体稳定分析方法研究[J].重庆交通学院学报,1995,14(3):35-41. 被引量:4
  • 2姜广荣.楔形体稳定性分析的合理方法及结构面的力学性能研究[D].重庆:重庆大学,1991.
  • 3EVERT HOEK, JOHN BRAY. Rock Slope Engineering, The Institution of Mining and Metallurgy [ M ]. London: The Gresham Press, 1974.
  • 4OMER AYDAN, HALIL KUMSAR, SHIGEMI SAKODA.Model Wedge Test and Re - assessment of Limiting Equilibrium Methods for Wedge Sliding, Proceedings of Rock Mechanics and Environmental Geotechnology [M]. Chogqing:Chongqing University Press, 1997.
  • 5哈秋聆 张永兴.岩石边坡工程[M].重庆:重庆大学出版社,1995.6.

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