地震诱发工程岩体结构面滑移概率分析
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摘要
基于非平稳随机地震动模型,编制快速合成人工地震动的程序以实现对工程地震动的随机抽样。对工程岩体地震响应进行等效线性数值计算时,定义结构面的水平等效加速度(时程),将结构面水平等效加速度(时程)的最大值超过其屈服加速度(滑移阈值)作为岩体失稳的极限条件;基于地震动随机抽样和等效线性化时程计算,提出一种随机地震动作用下工程岩体沿结构面的滑移概率和稳定可靠度的计算方法。考察某工程岩体在附近3个潜在震源影响下的结构面的滑移概率和稳定可靠性。结果表明,震级相差不大时,远场地震诱发该工程岩体的失效概率小于0.01%;近场地震作用下,工程岩体的失效概率为26.1%。
Based on non-stationary random vibration model,a series of ground motions were synthesized,whose statistical parameters could satisfy the randomness of a potential earthquake.In order to evaluate the stability of engineering rock mass,horizontal equivalent acceleration( HEA) of the rock mass joint plane was defined,while the earthquake response of engineering rock mass was calculated numerically.The maximum horizontal equivalent acceleration( MHEA) was compared with the yield acceleration of the rock mass joint plane.Based on non-linear numerical calculations and ground motion samples of an earthquake,a new approach was proposed to calculate the probability density of the MHEA of rock mass joint plane.The application of this method in seismic reliability analysis of engineering rock mass was demonstrated.The numerical computation results indicate that the probability of rock mass instability under remote earthquake is below 0.01%,while the value is up to 26.1% under near earthquake,given the same magnitude of earthquake.
Based on non-stationary random vibration model,a series of ground motions were synthesized,whose statistical parameters could satisfy the randomness of a potential earthquake.In order to evaluate the stability of engineering rock mass,horizontal equivalent acceleration( HEA) of the rock mass joint plane was defined,while the earthquake response of engineering rock mass was calculated numerically.The maximum horizontal equivalent acceleration( MHEA) was compared with the yield acceleration of the rock mass joint plane.Based on non-linear numerical calculations and ground motion samples of an earthquake,a new approach was proposed to calculate the probability density of the MHEA of rock mass joint plane.The application of this method in seismic reliability analysis of engineering rock mass was demonstrated.The numerical computation results indicate that the probability of rock mass instability under remote earthquake is below 0.01%,while the value is up to 26.1% under near earthquake,given the same magnitude of earthquake.
引文
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[2]刘红帅,薄景山,杨俊波,等.确定岩质边坡地震安全系数的简化方法[J].岩石力学与工程学报,2012,31(6):1107-1114.LIU Hongshuai,BO Jingshan,YANG Junbo,et al.Simplified method for determining seismic safety factor of rock slope[J].Chinese Journal of Rock Mechanic and Engineering,2012,31(6):1107-1114.
[3]徐强,李静,陈建云,等.非平稳地震动过程中混凝土重力坝受拉失效路径可靠度分析[J].工程力学,2011,28(3):123-129.XU Qiang,LI Jing,CHEN Jianyun,et al.Concrete gravity dam reliability analysis on tension failure path under non-stationary ground motion processes[J].Engineering Mechanics,2011,28(3):123-129.
[4]徐建平,胡厚田.摄动随机有限元法在顺层岩质边坡可靠性分析中的应用[J].岩土工程学报,1999,21(1):71-77.XU Jianping,HU Houtian.Application of perturbation stochastic finite element method in the reliability analysis of rock bedding slope[J].Chinese Journal of Rock Mechanic and Engineering,1999,21(1):71-77.
[5]刘佩,姚谦峰,袁泉.动力可靠度计算的概率简单叠加法则法[J].计算力学学报,2011,28(1):49-54.LIU Pei,YAO Qianfeng,YUAN Quan.Method based on simple additive rules of probability for dynamic reliability calculations[J].Chinese Journal of Computational Mechanics,2013,28(1):49-54.
[6]任丽梅,徐伟,肖玉柱,等.基于重要样本法的结构动力学系统的首次穿越[J].力学学报,2012,44(3):648-652.REN Limei,XU Wei,XIAO Yuzhu,et al.First excursion probabilities of dynamical systems by importance sampling[J].Chinese Journal of Theoretical and Applied Mechanics,2012,44(3):648-652.
[7]KIUREGHIAN A D.The geometry of random vibrations and solutions by FORM and SORM[J].Probabilistic Engineering Mechanics,2000,15:81-90.
[8]胡聿贤.地震工程学[M].北京:地震出版社,2006.
[9]REZAEIAN S,KIUREGHIAN A D.Stochastic modeling and simulation of ground motions for performance-based earthquake engineering[R].Peer,2010.
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