基于随机-关联空间插值法的工程岩体力学参数确定
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摘要
岩体力学参数在空间上存在的结构关联性和随机不确定性是影响工程岩体力学参数设计取值的客观因素之一。基于地质统计学理论,提出随机-关联空间插值法,在工程岩体力学参数概率分布未知的情况下,利用样本矩替换母体矩,描述工程岩体力学参数的随机性,利用变差函数描述样本点之间、样本点和插值点之间的工程岩体力学参数关联性,建立岩体力学参数的空间分布模型,并通过克里格法对场地中的工程岩体力学参数进行空间插值。结合工程实例,在力学参数概率分布未知的情况下建立其概率分布模型;选择不同数量的有效样本对比分析该方法本身对样本数量的依赖性问题;探讨该方法的应用范围以及针对其他情况提出的相应措施,为后续研究打下基础。与试验结果对比,工程实际中3种不同样本的岩体力学参数指标相对误差分别为4.2,4.4,5.3,估值结果可作为工程设计取值的参考依据。
The stochastic and associative feature of mechanical parameters of rock mass is an objective factor that affect the determination of mechanical parameters of engineering rock mass. In line with geological statistic theory, a stochastic-associative spatial interpolation method is proposed for the mechanical parameters of engineering rock mass.The stochasticity of mechanical parameters is described by replacing the parent moment with the sample moment in the condition that the probability distribution is unknown; and the associativity between sample points, sample points and interpolation point is quantified by the variation function. Kriging's method is used to interpolate the mechanical parameters of engineering rock mass on site.The spatial distribution model of mechanical parameters of engineering rock mass with unknown probability distribution is established and verified through an engineering case.Moreover, the dependency of this method on sample number is expounded through comparative study with different effective sample numbers. With the increase of effective sample number, the relative error between model estimation and test result reduces. In the engineering case study, the relative errors between model estimations and test results of mechanical parameters of three samples are 4.2, 4.4, and 5.3, respectively. In addition, the application scope of the present method and corresponding measures for other situations are also discussed for further research.
The stochastic and associative feature of mechanical parameters of rock mass is an objective factor that affect the determination of mechanical parameters of engineering rock mass. In line with geological statistic theory, a stochastic-associative spatial interpolation method is proposed for the mechanical parameters of engineering rock mass.The stochasticity of mechanical parameters is described by replacing the parent moment with the sample moment in the condition that the probability distribution is unknown; and the associativity between sample points, sample points and interpolation point is quantified by the variation function. Kriging's method is used to interpolate the mechanical parameters of engineering rock mass on site.The spatial distribution model of mechanical parameters of engineering rock mass with unknown probability distribution is established and verified through an engineering case.Moreover, the dependency of this method on sample number is expounded through comparative study with different effective sample numbers. With the increase of effective sample number, the relative error between model estimation and test result reduces. In the engineering case study, the relative errors between model estimations and test results of mechanical parameters of three samples are 4.2, 4.4, and 5.3, respectively. In addition, the application scope of the present method and corresponding measures for other situations are also discussed for further research.
引文
[1] LIN D,WANG K,LI K,et al.Modification of Rock Mass Strength Assessment Methods and Their Application in Geotechnical Engineering[J].Bulletin of Engineering Geology and the Environment,2017,76(4):1471-1480.
[2] 何满潮,薛廷河,彭延飞.工程岩体力学参数确定方法的研究[J].岩石力学与工程学报,2001,20(2):225-225.
[3] JING L.A Review of Techniques,Advances and Outstanding Issues in Numerical Modelling for Rock Mechanics and Rock Engineering[J].International Journal of Rock Mechanics and Mining Sciences,2003,40(3):283-353.
[4] 徐高巍.岩石力学参数取值研究及数据库系统的完善[D].武汉:中国科学院武汉岩土力学研究所,2006.
[5] 徐慧宁,周钟,徐进,等.锦屏一级水电站软弱岩体高水头弱化效应的试验研究[J].岩石力学与工程学报,2013,32(增刊2):4207-4214.
[6] 张永兴,卢黎,张四平,等.差异风化型危岩形成和破坏机理[J].土木建筑与环境工程,2010,32(2):1-6.
[7] LIANG Y,LI Q,GU Y,et al.Mechanical and Acoustic Emission Characteristics of Rock:Effect of Loading and Unloading Confining Pressure at the Postpeak Stage[J].Journal of Natural Gas Science and Engineering,2017,44:54-64.
[8] 谷德振.岩体工程地质力学基础[M].北京:科学出版社,1979.
[9] 孙广忠.岩体结构力学[M].北京:科学出版社,1988.
[10] PEPE G,CEVASCO A,GAGGERO L,et al.Variability of Intact Rock Mechanical Properties for Some Metamorphic Rock Types and Its Implications on the Number of Test Specimens[J].Bulletin of Engineering Geology and the Environment,2017,76(2):629-644.
[11] 闫春岭,丁德馨,唐益群,等.围岩强度和变形参数的分布特征及可靠性分析[J].岩土力学,2010,31(增刊2):349-353,365.
[12] 严春风,宋建波.岩体结构面倾向参数概率分布函数改进的 Bayes 推断方法[J].工程地质学报,1999,7(4):349-354.
[13] CHO S E.Effects of Spatial Variability of Soil Properties on Slope Stability[J].Engineering Geology,2007,92(3):97-109.
[14] AHAMMED M,MELCHERS R E.Gradient and Parameter Sensitivity Estimation for Systems Evaluated Using Monte-Carlo Analysis[J].Reliability Engineering & System Safety,2006,91(5):594-601.
[15] 郭亮,李晓昭,周扬一,等.随机与确定耦合的裂隙岩体结构面三维网络模拟[J].岩土力学,2016,37(9):2636-2644,2653.
[16] 吴振君,葛修润,王水林.考虑地质成因的土坡可靠度分析[J].岩石力学与工程学报,2011,30(9):1904-1911.
[17] ZHU W Q,REN Y J,WU W Q.Stochastic FEM Based on Local Averages of Random Vector Fields[J].Journal of Engineering Mechanics,1992,118(3):496-511.
[18] DER KIUREGHIAN A,KE J B.The Stochastic Finite Element Method in Structural Reliability[M]//Stochastic Structural Mechanics.Heidelberg:Springer,1987:84-109.
[19] 孙洪泉.地质统计学及其应用[M].北京:中国矿业大学出版社,1990.
[20] 张仁铎.空间变异理论及应用[M].北京:科学出版社,2005.
[21] 仇圣华,杨林德,陈岗.地质统计学理论在岩体参数求解中的应用[J].岩石力学与工程学报,2005,24(9):1545-154.
[2] 何满潮,薛廷河,彭延飞.工程岩体力学参数确定方法的研究[J].岩石力学与工程学报,2001,20(2):225-225.
[3] JING L.A Review of Techniques,Advances and Outstanding Issues in Numerical Modelling for Rock Mechanics and Rock Engineering[J].International Journal of Rock Mechanics and Mining Sciences,2003,40(3):283-353.
[4] 徐高巍.岩石力学参数取值研究及数据库系统的完善[D].武汉:中国科学院武汉岩土力学研究所,2006.
[5] 徐慧宁,周钟,徐进,等.锦屏一级水电站软弱岩体高水头弱化效应的试验研究[J].岩石力学与工程学报,2013,32(增刊2):4207-4214.
[6] 张永兴,卢黎,张四平,等.差异风化型危岩形成和破坏机理[J].土木建筑与环境工程,2010,32(2):1-6.
[7] LIANG Y,LI Q,GU Y,et al.Mechanical and Acoustic Emission Characteristics of Rock:Effect of Loading and Unloading Confining Pressure at the Postpeak Stage[J].Journal of Natural Gas Science and Engineering,2017,44:54-64.
[8] 谷德振.岩体工程地质力学基础[M].北京:科学出版社,1979.
[9] 孙广忠.岩体结构力学[M].北京:科学出版社,1988.
[10] PEPE G,CEVASCO A,GAGGERO L,et al.Variability of Intact Rock Mechanical Properties for Some Metamorphic Rock Types and Its Implications on the Number of Test Specimens[J].Bulletin of Engineering Geology and the Environment,2017,76(2):629-644.
[11] 闫春岭,丁德馨,唐益群,等.围岩强度和变形参数的分布特征及可靠性分析[J].岩土力学,2010,31(增刊2):349-353,365.
[12] 严春风,宋建波.岩体结构面倾向参数概率分布函数改进的 Bayes 推断方法[J].工程地质学报,1999,7(4):349-354.
[13] CHO S E.Effects of Spatial Variability of Soil Properties on Slope Stability[J].Engineering Geology,2007,92(3):97-109.
[14] AHAMMED M,MELCHERS R E.Gradient and Parameter Sensitivity Estimation for Systems Evaluated Using Monte-Carlo Analysis[J].Reliability Engineering & System Safety,2006,91(5):594-601.
[15] 郭亮,李晓昭,周扬一,等.随机与确定耦合的裂隙岩体结构面三维网络模拟[J].岩土力学,2016,37(9):2636-2644,2653.
[16] 吴振君,葛修润,王水林.考虑地质成因的土坡可靠度分析[J].岩石力学与工程学报,2011,30(9):1904-1911.
[17] ZHU W Q,REN Y J,WU W Q.Stochastic FEM Based on Local Averages of Random Vector Fields[J].Journal of Engineering Mechanics,1992,118(3):496-511.
[18] DER KIUREGHIAN A,KE J B.The Stochastic Finite Element Method in Structural Reliability[M]//Stochastic Structural Mechanics.Heidelberg:Springer,1987:84-109.
[19] 孙洪泉.地质统计学及其应用[M].北京:中国矿业大学出版社,1990.
[20] 张仁铎.空间变异理论及应用[M].北京:科学出版社,2005.
[21] 仇圣华,杨林德,陈岗.地质统计学理论在岩体参数求解中的应用[J].岩石力学与工程学报,2005,24(9):1545-154.
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