Citation: | BIAN Hongguang, WANG Shun, MA Haishan, XIN Peng. Stability of soil-rock mixture slopes based on random field theory[J]. Bulletin of Geological Science and Technology, 2024, 43(6): 162-170. doi: 10.19509/j.cnki.dzkq.tb20240183 |
The extensive distribution and complex material composition of soil-rock mixture slopes in China have attracted significant attention from scholars.
This study aims to scientifically and rationally assess the impact of the spatial variability of soil parameters on the stability of soil-rock mixture slopes.
Based on the random field theory, the effective shear strength parameters cohesion
The results reveal that the stability safety factor of soil-rock mixture slopes follows a normal distribution. As the block stone content increases, the mean value of the stability safety factor rises from 1.005 to 1.095, reflecting a transition from shallow to deep failure. For block stone content of 35%, the stability safety factor reaches 1.334 for larger block stones and 1.064 for smaller ones. Compared to deterministic calculation results, incorporating the spatial variability of the soil parameters yields higher stability safety factor.
Therefore, in soil-rock mixture slope stability analyses, the spatial variability of effective shear strength parameters must be fully considered to prevent overly conservative designs.
[1] |
徐文杰, 胡瑞林. 土石混合体概念、分类及意义[J]. 水文地质工程地质, 2009, 36(4): 50-56.
XU W J, HU R L. Conception, classification and significations of soil-rock mixture[J]. Hydrogeology & Engineering Geology, 2009, 36(4): 50-56. (in Chinese with English abstract)
|
[2] |
WANG S, WU W, CUI D S. On mechanical behaviour of clastic soils: Numerical simulations and constitutive modelling[J]. Géotechnique, 2022, 72(8): 706-721. doi: 10.1680/jgeot.20.P.184
|
[3] |
林成远, 唐辉明, 汪丁建, 等. 块石定向性特征对土-石混合体强度影响的数值模拟[J]. 地质科技通报, 2020, 39(5): 38-46. doi: 10.19509/j.cnki.dzkq.2020.0519
LIN C Y, TANG H M, WANG D J, et al. Influence on the strength of soil-rock mixture made by the rock block orientation features based on numerical experiment[J]. Bulletin of Geological Science and Technology, 2020, 39(5): 38-46. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2020.0519
|
[4] |
LI C Z, CHEN G Q, GUO L X, et al. Slope stability and post-failure analysis of soil-rock-mixture using the modified 2D DDA-SPH method[J]. International Journal of Rock Mechanics and Mining Sciences, 2022, 157: 105170. doi: 10.1016/j.ijrmms.2022.105170
|
[5] |
LIU S Q, CHENG Z C, QU X. A novel method incorporating digital image processing and A-star algorithm for soil-rock mixture (SRM)slope stability[J]. Environmental Earth Sciences, 2023, 82(7): 163. doi: 10.1007/s12665-023-10866-7
|
[6] |
唐军峰, 唐雪梅, 肖鹏, 等. 库水位升降与降雨作用下大型滑坡体渗流稳定性分析[J]. 地质科技通报, 2021, 40(4): 153-161. doi: 10.19509/j.cnki.dzkq.2021.0409
TANG J F, TANG X M, XIAO P, et al. Analysis of seepage stability of large-scale landslide under water-level fluctuation and rainfall[J]. Bulletin of Geological Science and Technology, 2021, 40(4): 153-161. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2021.0409
|
[7] |
邵帅, 季顺迎. 块石空间分布对土石混合体边坡稳定性的影响[J]. 工程力学, 2014, 31(2): 177-183.
SHAO S, JI S Y. Effects of rock spatial distributions on stability of rock-soil-mixture slope[J]. Engineering Mechanics, 2014, 31(2): 177-183. (in Chinese with English abstract)
|
[8] |
GAO W W, YANG H R, TENG J B, et al. Numerical study of the influence of the spatial distribution of oversized rock blocks on the stability of soil-rock mixture slopes[J]. Advances in Civil Engineering, 2023, 2023: 4575118.
|
[9] |
蒋水华, 李典庆, 周创兵, 等. 考虑自相关函数影响的边坡可靠度分析[J]. 岩土工程学报, 2014, 36(3): 508-518.
JIANG S H, LI D Q, ZHOU C B, et al. Slope reliability analysis considering effect of autocorrelation functions[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(3): 508-518. (in Chinese with English abstract)
|
[10] |
李典庆, 祁小辉, 周创兵, 等. 考虑参数空间变异性的无限长边坡可靠度分析[J]. 岩土工程学报, 2013, 35(10): 1799-1806.
LI D Q, QI X H, ZHOU C B, et al. Reliability analysis of infinite soil slopes considering spatial variability of soil parameters[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1799-1806. (in Chinese with English abstract)
|
[11] |
WANG M X, TANG X S, LI D Q, et al. Subset simulation for efficient slope reliability analysis involving copula-based cross-correlated random fields[J]. Computers and Geotechnics, 2020, 118: 103326. doi: 10.1016/j.compgeo.2019.103326
|
[12] |
VANMARCKE E H. Probabilistic modeling of soil profiles[J]. Journal of the Geotechnical Engineering Division, 1977, 103(11): 1227-1246. doi: 10.1061/AJGEB6.0000517
|
[13] |
薛亚东, 方超, 葛嘉诚. 各向异性随机场下的边坡可靠度分析[J]. 岩土工程学报, 2013, 35(增刊2): 77-82.
XUE Y D, FANG C, GE J C. Slope reliability in anisotropic random fields[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(S2): 77-82. (in Chinese with English abstract)
|
[14] |
LIU Y, XIAO H W, YAO K, et al. Rock-soil slope stability analysis by two-phase random media and finite elements[J]. Geoscience Frontiers, 2018, 9(6): 1649-1655. doi: 10.1016/j.gsf.2017.10.007
|
[15] |
KASAMA K, WHITTLE A J. Effect of spatial variability on the slope stability using Random Field Numerical Limit Analyses[J]. Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards, 2016, 10(1): 42-54. doi: 10.1080/17499518.2015.1077973
|
[16] |
何成, 唐辉明, 申培武, 等. 应变软化边坡渐进破坏模式及稳定性可靠度[J]. 地球科学, 2021, 46(2): 697-707.
HE C, TANG H M, SHEN P W, et al. Progressive failure mode and stability reliability of strain-softening slope[J]. Earth Science, 2021, 46(2): 697-707. (in Chinese with English abstract)
|
[17] |
杨杰, 陈佳莹, 尹振宇. 砂土初始孔隙比空间变异性对其力学特性及破坏模式的影响分析[J]. 计算力学学报, 2021, 38(6): 754-762.
YANG J, CHEN J Y, YIN Z Y. Influence of spatial variability of initial void ratio on the mechanical response and failure mode of sand[J]. Chinese Journal of Computational Mechanics, 2021, 38(6): 754-762. (in Chinese with English abstract)
|
[18] |
LI K S, LUMB P. Probabilistic design of slopes[J]. Canadian Geotechnical Journal, 1987, 24(4): 520-535.
|
[19] |
郑颖人, 赵尚毅, 张鲁渝. 用有限元强度折减法进行边坡稳定分析[J]. 中国工程科学, 2002, 4(10): 57-61.
ZHENG Y R, ZHAO S Y, ZHANG L Y. Slope stability analysis by strength reduction FEM[J]. Engineering Science, 2002, 4(10): 57-61. (in Chinese with English abstract)
|
[20] |
咸玉建, 陈学军, 汪志刚, 等. 基于有限元强度折减系数法岩土边坡稳定性分析与抗滑桩设计[J]. 地质科技情报, 2015, 34(4): 176-182.
XIAN Y J, CHEN X J, WANG Z G, et al. Geotechnical slope stability analysis and the design of anti-slide pile based on strength reduction FEM[J]. Geological Science and Technology Information, 2015, 34(4): 176-182. (in Chinese with English abstract)
|
[21] |
ZHAO T, SUN J Z, ZHANG B, et al. Analysis of slope stability with dynamic overloading from earthquake[J]. Journal of Earth Science, 2012, 23(3): 285-296.
|
[22] |
蒋先平, 张鹏, 卢艺伟, 等. 物质点强度折减法边坡失稳判据选择方法[J]. 地质科技通报, 2022, 41(2): 113-122. doi: 10.19509/j.cnki.dzkq.2021.0075
JIANG X P, ZHANG P, LU Y W, et al. Slope failure criterion for the strength reduction material point method[J]. Bulletin of Geological Science and Technology, 2022, 41(2): 113-122. (in Chinese with English abstract) doi: 10.19509/j.cnki.dzkq.2021.0075
|
[23] |
LI X, LIAO Q L, HE J M. In situ tests and a stochastic structural model of rock and soil aggregate in the Three Gorges Reservoir area, China[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(3): 702-707.
|
[24] |
徐文杰, 胡瑞林, 岳中琦, 等. 土石混合体细观结构及力学特性数值模拟研究[J]. 岩石力学与工程学报, 2007, 26(2): 300-311.
XU W J, HU R L, YUE Z Q, et al. Mesostructural character and numerical simulation of mechanical properties of soil-rock mixtures[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(2): 300-311. (in Chinese with English abstract)
|
[25] |
赵鑫曜, 陈建功, 张海权, 等. 空间与颗粒参数对块石土边坡稳定性影响数值模拟研究[J]. 工程科学与技术, 2020, 52(4): 166-175.
ZHAO X Y, CHEN J G, ZHANG H Q, et al. Analysis of space and particle parameter influence to stability of soil-rock mixture slope[J]. Advanced Engineering Sciences, 2020, 52(4): 166-175. (in Chinese with English abstract)
|
[26] |
李亮, 李彦军, 赵炼恒, 等. 土石混合边坡块石随机生成方法与稳定性分析[J]. 湖南大学学报(自然科学版), 2017, 44(7): 170-178.
LI L, LI Y J, ZHAO L H, et al. Method for generating random soil-rock mixed slope and stability analysis[J]. Journal of Hunan University(Natural Sciences), 2017, 44(7): 170-178. (in Chinese with English abstract)
|
[27] |
LIU S Q, HUANG X W, ZHOU A Z, et al. Soil-rock slope stability analysis by considering the nonuniformity of rocks[J]. Mathematical Problems in Engineering, 2018, 2018(1): 3121604.
|
[28] |
NAPOLI M L, BARBERO M, RAVERA E, et al. A stochastic approach to slope stability analysis in bimrocks[J]. International Journal of Rock Mechanics and Mining Sciences, 2018, 101: 41-49.
|
[29] |
胡新丽, 唐辉明, 陈建平. 高速公路顺层路堑边坡优化设计方法[J]. 地球科学(中国地质大学学报), 2001, 26(4): 373-376.
HU X L, TANG H M, CHEN J P. Optimum design method for bedding slope of expressway[J]. Earth Science(Journal of China University of Geosciences), 2001, 26(4): 373-376. (in Chinese with English abstract)
|