考虑流固耦合的拱坝抗滑稳定非概率可靠度分析
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摘要
拱坝抗滑稳定可靠度分析是大坝安全评价的关键组成部分,其结果直接关系到大坝正常运行与安全,具有重要研究意义.已有的研究多采用概率可靠度方法进行分析,然而实际拱坝工程统计信息较少,难以获得各参数变量的精确概率分布;另外,目前缺乏考虑坝基岩体流固耦合作用的拱坝抗滑稳定可靠度研究.针对上述问题,基于凸模型理论,提出了考虑流固耦合作用下的拱坝三维抗滑稳定非概率可靠度分析方法,并通过建立拱坝三维工程地质统一模型,分别采用超载法与强度折减法,对流固耦合作用下拱坝抗滑稳定非概率可靠度进行探究.实际工程应用表明:本研究能够在缺乏足够统计信息的情况下对拱坝抗滑稳定可靠度进行分析,同时,未考虑流固耦合作用将高估拱坝的抗滑稳定可靠度,对工程安全不利.
The anti-sliding stability reliability analysis of arch dam is a crucial part of dam safety evaluation,the results of which are related to the dam operation and safety,hence it has important research significance.The existing study mostly adopted probabilistic reliability method.However,due to insufficient statistical information in practical engineering,it is difficult to obtain the exact probability distributions of parameter variables.Besides,there is short of research on anti-sliding stability reliability considering fluid-solid coupling of dam foundation.To address these limitations,based on convex set theory,a non-probabilistic reliability analysis of three dimensional anti-sliding stability for arch dam considering fluid-solid coupling effect was proposed.First,the three dimensional unified model of engineering geology was established.Next,considering the fluid-solid coupling in dam foundation,the anti-sliding stability non-probabilistic reliability was conducted by using overload and strength reduction methods.The results show that it is feasible to analyze the anti-sliding stability reliability of arch dam with meager statistical information by the proposed approach,and the safety assessment of arch dam is overestimated when the fluid-solid coupling effect is neglected,which is unfavorable to engineering safety.
The anti-sliding stability reliability analysis of arch dam is a crucial part of dam safety evaluation,the results of which are related to the dam operation and safety,hence it has important research significance.The existing study mostly adopted probabilistic reliability method.However,due to insufficient statistical information in practical engineering,it is difficult to obtain the exact probability distributions of parameter variables.Besides,there is short of research on anti-sliding stability reliability considering fluid-solid coupling of dam foundation.To address these limitations,based on convex set theory,a non-probabilistic reliability analysis of three dimensional anti-sliding stability for arch dam considering fluid-solid coupling effect was proposed.First,the three dimensional unified model of engineering geology was established.Next,considering the fluid-solid coupling in dam foundation,the anti-sliding stability non-probabilistic reliability was conducted by using overload and strength reduction methods.The results show that it is feasible to analyze the anti-sliding stability reliability of arch dam with meager statistical information by the proposed approach,and the safety assessment of arch dam is overestimated when the fluid-solid coupling effect is neglected,which is unfavorable to engineering safety.
引文
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[16]吴永康,王翔南,董威信,等.考虑流固耦合作用的高土石坝动力分析[J].岩土工程学报,2015,37(11):2007-2013.Wu Yongkang,Wang Xiangnan,Dong Weixin,et al.Dynamic analysis of a high earth-rockfill dam considering effects of solid-fluid coupling[J].Chinese Journal of Geotechnical Engineering,2015,37(11):2007-2013(in Chinese).
[17]林鹏,刘晓丽,胡昱,等.应力与渗流耦合作用下溪洛渡拱坝变形稳定分析[J].岩石力学与工程学报,2013,32(6):1145-1156.Lin Peng,Liu Xiaoli,Hu Yu,et al.Deformation stability analysis of Xiluodu arch dam under stress-seepage coupling condition[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(6):1145-1156(in Chinese).
[18]王瑞,沈振中,陈孝冰.基于COMSOL Multiphysics的高拱坝渗流-应力全耦合分析[J].岩石力学与工程学报,2013,32(增2):3197-3204.Wang Rui,Shen Zhenzhong,Chen Xiaobing.Full coupled analysis of seepage-stress fields for high arch dam based on COMSOL Multiphysics[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(Suppl 2):3197-3204(in Chinese).
[19]薛娈鸾.小湾拱坝坝基含排水孔岩体渗流与应力耦合分析[J].武汉大学学报:工学版,2013,46(3):290-294.Xue Luanluan.Analysis of coupled seepage and stress in Xiaowan arch dam foundation with drainage holes[J].Engineering Journal of Wuhan University,2013,46(3):290-294(in Chinese).
[20]苏国韶,郝俊猛.复杂工程结构非概率可靠度分析的高斯过程动态响应面法[J].应用基础与工程科学学报,2015,23(4):750-762.Su Guoshao,Hao Junmeng.Gaussian process based dynamic response surface method of non-probabilistic reliability analysis for complicated engineering structure[J].Journal of Basic Science and Engineering,2015,23(4):750-762(in Chinese).
[21]郭书祥,吕震宙,冯元生.基于区间分析的结构非概率可靠性模型[J].计算力学学报,2001,18(1):56-60.Guo Shuxiang,LüZhenzhou,Feng Yuansheng.A nonprobabilistic model of structural reliability based on interval analysis[J].Chinese Journal of Computational Mechanics,2001,18(1):56-60(in Chinese).
[22]马超,吕震宙.隐式极限状态方程的非概率可靠性分析[J].机械强度,2009,31(1):45-50.Ma Chao,LüZhenzhou.Research on non-probabilistic reliability analysis method for implicit limit state function[J].Journal of Mechanical Strength,2009,31(1):45-50(in Chinese).
[23]Zhong Denghua,Li Mingchao,Liu Jie.3D integrated modeling approach to geo-engineering objects of hydraulic and hydroelectric projects[J].Science in China Series E:Technological Science,2007,50(3):329-342.
[24]钟登华,鲁文妍,刘杰,等.复杂地质条件下地下洞室曲面块体地震响应分析[J].天津大学学报:自然科学与工程技术版,2014,47(6):471-478.Zhong Denghua,Lu Wenyan,Liu Jie,et al.Surface-block identification and seismic response analysis of underground structures under complicated geological conditions[J].Journal of Tianjin University:Science and Technology,2014,47(6):471-478(in Chinese).
[25]夏雨,张仲卿,赵小莲,等.基于非概率可靠度理论的拱坝安全度评价[J].水利水运工程学报,2010(3):79-83.Xia Yu,Zhang Zhongqing,Zhao Xiaolian,et al.Safety analysis of arch dam based on non-probability theory[J].Hydro-Science and Engineering,2010(3):79-83(in Chinese).
[26]裴利剑,屈本宁,钱闪光.有限元强度折减法边坡失稳判据的统一性[J].岩土力学,2010,31(10):3337-3341.Pei Lijian,Qu Benning,Qian Shanguang.Uniformity of slope instability criteria of strength reduction with FEM[J].Rock and Soil Mechanics,2010,31(10):3337-3341(in Chinese).
[27]蒋水华,李典庆,黎学优,等.锦屏一级水电站左岸坝肩边坡施工期高效三维可靠度分析[J].岩石力学与工程学报,2015,34(2):349-361.Jiang Shuihua,Li Dianqing,Li Xueyou,et al.Efficient three-dimensional reliability analysis of an abutment slope at the left bank of JinpingⅠhydropower station during construction[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(2):349-361(in Chinese).
[2]任青文.高拱坝安全性研究现状及存在问题分析[J].水利学报,2007,38(9):1023-1031.Ren Qingwen.Status quo and problems on safety analysis of high arch dam[J].Journal of Hydraulic Engineering,2007,38(9):1023-1031(in Chinese).
[3]沈辉,罗先启,李野,等.乌东德拱坝坝肩三维抗滑稳定分析[J].岩石力学与工程学报,2012,31(5):1026-1033.Shen Hui,Luo Xianqi,Li Ye,et al.Three-dimensional stability analysis of dam abutment of Wudongde arch dam[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(5):1026-1033(in Chinese).
[4]井向阳,常晓林,周伟,等.高拱坝施工期温控防裂时空动态控制措施及工程应用[J].天津大学学报:自然科学与工程技术版,2013,46(8):705-712.Jing Xiangyang,Chang Xiaolin,Zhou Wei,et al.Spatial-temporal dynamic control framework of temperature control and crack prevention in construction of concrete arch dams and its engineering application[J].Journal of Tianjin University:Science and Technology,2013,46(8):705-712(in Chinese).
[5]Ding Zelin,Wang Qianqian,Wang Jing.Analysis on stability of an Arch Dam with interlayer shear zones[J].KSCE Journal of Civil Engineering,2016,20(6):2262-2269.
[6]Su Huanzhi,Li Jinyou,Wen Zhiping,et al.Dynamic non-probabilistic reliability evaluation and service life prediction for arch dams considering time-varying effects[J].Applied Mathematical Modelling,2016,40(15/16):6908-6923.
[7]陈在铁,任青文.高拱坝安全分析中的不确定性因素研究[J].南京理工大学学报,2006,30(6):718-722.Chen Zaitie,Ren Qingwen.Uncertainty factors in high arch dam safety analysis[J].Journal of Nanjing University of Science and Technology,2006,30(6):718-722(in Chinese).
[8]Ben-Haim Y.Convex models of uncertainty in radial pulse buckling of shells[J].Journal of Applied Mechanics,1993,60(3):683-688.
[9]Elishakoff I,Elisseeff P,Glegg S A L.Non-probabilistic,convex-theoretic modeling of scatter in material properties[J].AIAA Journal,2012,32(4):843-849.
[10]邱志平.非概率集合理论凸方法及其应用[M].北京:国防工业出版社,2005.Qiu Zhiping.Convex Method based on Non-Probabilistic Set-Theory and Its Application[M].Beijing:National Defense Industry Press,2005(in Chinese).
[11]曹文贵,翟友成,王江营,等.区间非概率可靠性方法在岩溶区稳定性分析中的适用性研究[J].岩土力学,2015,36(10):2955-2962.Cao Wengui,Zhai Youcheng,Wang Jiangying,et al.Applicability of interval non-probabilistic reliability method in analyzing the stability of karst area[J].Rock and Soil Mechanics,2015,36(10):2955-2962(in Chinese).
[12]Zhu Xiaobin,Wang Xiaoling,Liu Minghui,et al.Channel stability analysis by one-way fluid structure interaction:A case study in China[J].Transactions of Tianjin University,2017,23(5):451-460.
[13]秦红军,陈松.软黏土地基流固耦合非线性力学行为的有限元数值分析[J].岩土工程学报,2017,39(增1):256-260.Qin Hongjun,Chen Song.FEM analysis of nonlinear mechanical behavior of fluid-solid coupling for soft clay foundation[J].Chinese Journal of Geotechnical Engineering,2017,39(Suppl1):256-260(in Chinese).
[14]Zhu Xiaobin,Wang Xiaoling,Li Xiao,et al.A new dam reliability analysis considering fluid structure interaction[J].Rock Mechanics and Rock Engineering,2017(2):1-12.
[15]王晓玲,刘长欣,李瑞金,等.大坝基岩单裂隙灌浆流固耦合模拟研究[J].天津大学学报:自然科学与工程技术版,2017,50(10):1037-1046.Wang Xiaoling,Liu Changxin,Li Ruijin,et al.Fluidsolid coupling simulation of single fracture grouting in dam bedrock[J].Journal of Tianjin University:Science and Technology,2017,50(10):1037-1046(in Chinese).
[16]吴永康,王翔南,董威信,等.考虑流固耦合作用的高土石坝动力分析[J].岩土工程学报,2015,37(11):2007-2013.Wu Yongkang,Wang Xiangnan,Dong Weixin,et al.Dynamic analysis of a high earth-rockfill dam considering effects of solid-fluid coupling[J].Chinese Journal of Geotechnical Engineering,2015,37(11):2007-2013(in Chinese).
[17]林鹏,刘晓丽,胡昱,等.应力与渗流耦合作用下溪洛渡拱坝变形稳定分析[J].岩石力学与工程学报,2013,32(6):1145-1156.Lin Peng,Liu Xiaoli,Hu Yu,et al.Deformation stability analysis of Xiluodu arch dam under stress-seepage coupling condition[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(6):1145-1156(in Chinese).
[18]王瑞,沈振中,陈孝冰.基于COMSOL Multiphysics的高拱坝渗流-应力全耦合分析[J].岩石力学与工程学报,2013,32(增2):3197-3204.Wang Rui,Shen Zhenzhong,Chen Xiaobing.Full coupled analysis of seepage-stress fields for high arch dam based on COMSOL Multiphysics[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(Suppl 2):3197-3204(in Chinese).
[19]薛娈鸾.小湾拱坝坝基含排水孔岩体渗流与应力耦合分析[J].武汉大学学报:工学版,2013,46(3):290-294.Xue Luanluan.Analysis of coupled seepage and stress in Xiaowan arch dam foundation with drainage holes[J].Engineering Journal of Wuhan University,2013,46(3):290-294(in Chinese).
[20]苏国韶,郝俊猛.复杂工程结构非概率可靠度分析的高斯过程动态响应面法[J].应用基础与工程科学学报,2015,23(4):750-762.Su Guoshao,Hao Junmeng.Gaussian process based dynamic response surface method of non-probabilistic reliability analysis for complicated engineering structure[J].Journal of Basic Science and Engineering,2015,23(4):750-762(in Chinese).
[21]郭书祥,吕震宙,冯元生.基于区间分析的结构非概率可靠性模型[J].计算力学学报,2001,18(1):56-60.Guo Shuxiang,LüZhenzhou,Feng Yuansheng.A nonprobabilistic model of structural reliability based on interval analysis[J].Chinese Journal of Computational Mechanics,2001,18(1):56-60(in Chinese).
[22]马超,吕震宙.隐式极限状态方程的非概率可靠性分析[J].机械强度,2009,31(1):45-50.Ma Chao,LüZhenzhou.Research on non-probabilistic reliability analysis method for implicit limit state function[J].Journal of Mechanical Strength,2009,31(1):45-50(in Chinese).
[23]Zhong Denghua,Li Mingchao,Liu Jie.3D integrated modeling approach to geo-engineering objects of hydraulic and hydroelectric projects[J].Science in China Series E:Technological Science,2007,50(3):329-342.
[24]钟登华,鲁文妍,刘杰,等.复杂地质条件下地下洞室曲面块体地震响应分析[J].天津大学学报:自然科学与工程技术版,2014,47(6):471-478.Zhong Denghua,Lu Wenyan,Liu Jie,et al.Surface-block identification and seismic response analysis of underground structures under complicated geological conditions[J].Journal of Tianjin University:Science and Technology,2014,47(6):471-478(in Chinese).
[25]夏雨,张仲卿,赵小莲,等.基于非概率可靠度理论的拱坝安全度评价[J].水利水运工程学报,2010(3):79-83.Xia Yu,Zhang Zhongqing,Zhao Xiaolian,et al.Safety analysis of arch dam based on non-probability theory[J].Hydro-Science and Engineering,2010(3):79-83(in Chinese).
[26]裴利剑,屈本宁,钱闪光.有限元强度折减法边坡失稳判据的统一性[J].岩土力学,2010,31(10):3337-3341.Pei Lijian,Qu Benning,Qian Shanguang.Uniformity of slope instability criteria of strength reduction with FEM[J].Rock and Soil Mechanics,2010,31(10):3337-3341(in Chinese).
[27]蒋水华,李典庆,黎学优,等.锦屏一级水电站左岸坝肩边坡施工期高效三维可靠度分析[J].岩石力学与工程学报,2015,34(2):349-361.Jiang Shuihua,Li Dianqing,Li Xueyou,et al.Efficient three-dimensional reliability analysis of an abutment slope at the left bank of JinpingⅠhydropower station during construction[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(2):349-361(in Chinese).