Comparison of selecting methods on rock sample mechanical parameters of rock bank slope
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摘要: 针对安川公路典型岸坡岩石试样, 分别在天然状态和饱水状态下对其进行轴压试验, 采用随机模糊法、最小二乘法和蒙特卡罗法对岩石变形参数和抗剪强度参数进行抽样取值, 并计算了相应的边坡稳定性系数。计算结果表明: 采用蒙特卡罗法抽样得到的变形参数均值、均方差与变异系数与最小二乘法基本接近, 其中均值相差仅为0.77%;采用随机模糊法抽样得到的变形参数均值、均方差与变异系数最小, 其均值较最小二乘法降低了8.60%;在抗剪强度参数抽样取值时, 利用随机模糊法得到的抗剪强度参数均值、变异系数与对应的边坡安全系数最小, 蒙特卡罗法次之, 最小二乘法最大, 其中采用随机模糊法抽样取值时边坡安全系数均值为1.243, 蒙特卡罗法取值时为1.521。相比于蒙特卡罗法, 采用随机模糊法确定的隶属度函数考虑了样本参数权重因素的影响, 反映了岸坡岩石抗剪强度参数的不确定性, 计算的岩质边坡安全系数更具有工程指导意义。Abstract: The axial compression tests of rock samples of typical bank slope in Anchuan Highway were carried out under natural state and water-saturated state, their deformation parameter and shear strength parameters were sampled and selected by the random-fuzzy method, the least square method and the Monte Carlo method, and the stability coefficient of typical bank slope was computed.Calculation result shows that the mean, standard deviation and variation coefficient of deformation parameter obtained by the Monte Carlo method are basically similar to the values obtained by the least square method, and the mean difference is only 0.77%.Relatively, the mean, standard deviation and variation coefficient of deformation parameter obtained by the random-fuzzy method are minimal, and the mean value is 8.60%lower than the value obtained by the least square method.In sampling and valuing of shear strength parameters, the means and variation coefficients of shear strength parameters and the corresponding safety factors of slope from small to large are obtained in turn by the random-fuzzy method, the Monte Carlo method and the least square method, and slope safety factors are 1.243 and 1.521 when the parametersare computed by the random-fuzzy method and the Monte Carlo method respectively.Compared with the Monte Carlo method, the membership function confirmed by the random-fuzzy method considers the weight effect of sample parameter, which can reflect the uncertainty of rock shear strength parameter.The safety factors of rock slope calculated by the random-fuzzy method have more engineering guiding significance.
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图 11 饱水状态下试样B1三轴试验结果
Figure 11. Triaxial test result of sample B1 under water-saturated state
图 12 饱水状态下试样B3三轴试验结果
Figure 12. Triaxial test result of sample B3 under water-saturated state
图 13 饱水状态下试样B5三轴试验结果
Figure 13. Triaxial test result of sample B5 under water-saturated state
图 14 自然状态下试样黏聚力正态分布
Figure 14. Normal distribution of cohesive strengths for samples under natural state
图 15 饱水状态试样黏聚力正态分布
Figure 15. Normal distribution of cohesive strengths for samples under water-statured state
图 16 自然状态试样内摩擦角正态分布
Figure 16. Normal distribution of internal friction angles for samples under natural state
图 17 饱水状态试样内摩擦角正态分布
Figure 17. Normal distribution of internal friction angles for samples under water-statured state
表 1 试样弹性模量
Table 1. Elastic moduli of samples
表 2 弹性模量取值结果
Table 2. Computational result of elastic modulus
表 3 抗剪强度参数取值结果
Table 3. Computational result of shear strength parameters
表 4 稳定性计算结果
Table 4. Computational result of stability
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[1] BARTON N. Review of a new shear strength criterion for rock joints[J]. Engineering Geology, 1973, 7(4): 287-322. doi: 10.1016/0013-7952(73)90013-6 [2] 钟权, 陈明, 朱洋洋, 等. 基于声波速度及岩块强度的开挖扰动区岩体力学参数预测[J]. 武汉大学学报: 工学版, 2013, 46(2): 170-211.ZHONG Quan, CHEN Ming, ZHU Yang-yang, et al. Prediction of rock mass mechanical parameters excavation disturbed zone by acoustic velocity and rock strength[J]. Engineering Journal of Wuhan University, 2013, 46(2): 170-211. (in Chinese). [3] AHN S H, LEE C I. Removability analysis of rock blocks by block theory and a probabilistic approach[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(S1): 378-383. [4] MITO Y, KIKUCHI K, HIRANO I, et al. Stochastic block theory for initial support decision of large slope[J]. International Journal of Rock Mechanics and Mining Sciences, 1997, 34(3/4): 511-517. [5] DODAGOUDAR G R, VENKATACHALAM G. Reliability analysis of slopes using fuzzy sets theory[J]. Computers and Geotechnics, 2000, 27(2): 101-115. doi: 10.1016/S0266-352X(00)00009-4 [6] GIASI C I, MASI P, CHERUBINI C. Probabilistic and fuzzy reliability analysis of a sample slope near Aliano[J]. Engineering Geology, 2003, 67(3/4): 391-402. [7] 倪先杰, 袁媛. 基于最小二乘法的岩石点荷载与强度的拟合线性关系[J]. 煤炭技术, 2014, 33(9): 97-98.NI Xian-jie, YUAN Yuan. Quasi-linear relationship of rock point and load strength based on least squares method[J]. Coal Technology, 2014, 33(9): 97-98. (in Chinese). [8] KARAKUS M, TUTMEZ B. Fuzzy and multiple regression modelling for evaluation of intact rock strength based on point load, schmidt hammer and sonic velocity[J]. Rock Mechanics and Rock Engineering, 2006, 39(1): 45-57. doi: 10.1007/s00603-005-0050-y [9] 吴振君, 汤华, 王水林, 等. 岩土样本数目对边坡可靠度分析的影响研究[J]. 岩石力学与工程学报, 2013, 32(増1): 2846-2854. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2013S1034.htmWU Zhen-jun, TANG Hua, WANG Shui-lin, et al. Influence of number of geotechnical samples on slope reliability analysis[J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(S1): 2846-2854. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2013S1034.htm [10] 杨坤, 周创兵, 张昕, 等. 边坡块状结构岩体模糊随机可靠性分析[J]. 岩石力学与工程学报, 2006, 25(2): 407-413. doi: 10.3321/j.issn:1000-6915.2006.02.030YANG Kun, ZHOU Chuang-bing, ZHANG Xin, et al. Fuzzy-random reliability analysis of blocky rock mass in slopes[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(2): 407-413. (in Chinese). doi: 10.3321/j.issn:1000-6915.2006.02.030 [11] 徐建平, 胡厚田, 张安松, 等. 边坡岩体物理力学参数的统计特征研究[J]. 岩石力学与工程学报, 1999, 18(4): 382-386. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX904.004.htmXU Jian-ping, HU Hou-tian, ZHANG An-song, et al. On statistical characteristic of physical and mechanical parameters in slope rock mass[J]. Chinese Journal of Rock Mechanics and Engineering, 1999, 18(4): 382-386. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX904.004.htm [12] 刘东升, 张浪, 宋强辉, 等. 岩体结构面强度的可靠度分析[J]. 岩土力学, 2009, 30(2): 328-332. doi: 10.3969/j.issn.1000-7598.2009.02.007LIU Dong-sheng, ZHANG Lang, SONG Qiang-hui, et al. Reliability analysis of strength for joint in rock mass[J]. Rock and Soil Mechanics, 2009, 30(2): 328-332. (in Chinese). doi: 10.3969/j.issn.1000-7598.2009.02.007 [13] 罗丽娟, 赵法锁, 蔡志勇. 基于剩余推力法和复形优化的边坡稳定性分析[J]. 长安大学学报: 自然科学版, 2009, 29(5): 47-53. doi: 10.3969/j.issn.1671-8879.2009.05.010LUO Li-juan, ZHAO Fa-suo, CAI Zhi-yong. Slope stability analysis based on residual thrust method and complex optimization[J]. Journal of Chang'an University: Natural Science Edition, 2009, 29(5): 47-53. (in Chinese). doi: 10.3969/j.issn.1671-8879.2009.05.010 [14] 李育超, 凌道盛, 陈云敏, 等. 蒙特卡罗法与有限元相结合分析边坡稳定性[J]. 岩石力学与工程学报, 2005, 24(11): 1933-1941. doi: 10.3321/j.issn:1000-6915.2005.11.019LI Yu-chao, LING Dao-sheng, CHEN Yun-min, et al. Slope stability analysis using Monte Carlo technique with FEM[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(11): 1933-1941. (in Chinese). doi: 10.3321/j.issn:1000-6915.2005.11.019 [15] 熊文林, 李胡生. 岩石样本力学参数值的随机-模糊处理方法[J]. 岩土工程学报, 1992, 14(6): 101-108. doi: 10.3321/j.issn:1000-4548.1992.06.013XIONG Wen-lin, LI Hu-sheng. A random-fuzzy method for treating the experimental data of mechanical parameters rock sample[J]. Chinese Journal of Geotechnical Engineering, 1992, 14(6): 101-108. (in Chinese). doi: 10.3321/j.issn:1000-4548.1992.06.013 [16] 徐卫亚, 谈小龙, 蒋中明. 节理岩体边坡模糊稳定性分析方法研究[J]. 岩石力学与工程学报, 2007, 26(6): 1232-1236. doi: 10.3321/j.issn:1000-6915.2007.06.019XU Wei-ya, TAN Xiao-long, JIANG Zhong-ming. Research on fuzzy analytic approach for stability analysis of jointed rock slope[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(6): 1232-1236. (in Chinese). doi: 10.3321/j.issn:1000-6915.2007.06.019 [17] 张永杰, 曹文贵, 赵明华. 岩土抗剪强度参数确定的模糊拟合方法[J]. 湖南大学学报: 自然科学版, 2008, 35(6): 6-10.ZHANG Yong-jie, CAO Wen-gui, ZHAO Ming-hua. Fuzzy fitting method to determine the shear strength parameters of geomaterial[J]. Journal of Hunan University: Natural Science, 2008, 35(6): 6-10. (in Chinese). [18] 康海贵, 李炜. 基于安全系数解析式的边坡稳定评价体系研究[J]. 中国公路学报, 2008, 21(3): 1-5. doi: 10.3321/j.issn:1001-7372.2008.03.001KANG Hai-gui, LI Wei. Research on evaluated system for slope reliability based on calculation formulae of safety factor[J]. China Journal of Highway and Transport, 2008, 21(3): 1-5. (in Chinese). doi: 10.3321/j.issn:1001-7372.2008.03.001 [19] 陈鹏, 徐博侯. 基于因素敏感性的边坡稳定可靠度分析[J]. 中国公路学报, 2012, 25(4): 42-48. doi: 10.3969/j.issn.1001-7372.2012.04.008CHEN Peng, XU Bo-hou. Reliability analysis of slope stability based on factors sensitivity[J]. China Journal of Highway and Transport, 2012, 25(4): 42-48. (in Chinese). doi: 10.3969/j.issn.1001-7372.2012.04.008 [20] PHOON K K, KULHAWY F H. Characterization of geotechnical variability[J]. Canadian Geotechnical Journal, 1999, 36(4): 612-624. doi: 10.1139/t99-038 [21] BABU G L S, MUKESH M D. Risk analysis of landslides—a case study[J]. Geotechnical and Geological Engineering, 2003, 21(2): 113-127. doi: 10.1023/A:1023525002893 [22] LI K S, LUMB P. Probabilistic design of slopes[J]. Canadian Geotechnical Journal, 1987, 24(4): 520-535. doi: 10.1139/t87-068 [23] 赵志明, 吴光, 李东亮, 等. 杭长铁路红砂岩岩体结构面强度参数取值研究[J]. 水文地质工程地质, 2013, 40(6): 68-73. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201306013.htmZHAO Zhi-ming, WU Guang, LI Dong-liang, et al. Discontinuity planes strength parameters of the red sandstone along the Hangzhou to Changsha Railway[J]. Hydrogeology and Engineering Geology, 2013, 40(6): 68-73. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201306013.htm [24] 刘兴旺, 别小平, 王家成, 等. 库岸稳定性分析与塌岸预测[J]. 黑龙江水专学报, 2010, 37(3): 23-26.LIU Xing-wang, BIE Xiao-ping, WANG Jia-cheng, et al. Stability analysis and bank collapse forecast of reservoir bank[J]. Journal of Heilongjiang Hydraulic Engineering, 2010, 37(3): 23-26. (in Chinese). [25] 杨更社, 奚家米, 李慧军, 等. 三向受力条件下冻结岩石力学特性试验研究[J]. 岩石力学与工程学报, 2010, 29(3): 459-464. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201003005.htmYANG Geng-she, XI Jia-mi, LI Hui-jun, et al. Experimental study of rock mechanical properties under triaxial compressive and frozen conditions[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(3): 459-464. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201003005.htm -
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