含优势渗流层边坡降雨入渗下的可靠度分析

肖景红; 王敏; 王川; 冷先伦

doi:10.19509/j.cnki.dzkq.2021.0619

含优势渗流层边坡降雨入渗下的可靠度分析

doi: 10.19509/j.cnki.dzkq.2021.0619

肖景红^1,,
王敏¹,
王川^{2, 3},
冷先伦^{2, 3, ,}

基金项目:

国家重点研发计划 2017YFF0108705

详细信息

作者简介:
肖景红(1980-), 男, 高级工程师, 主要从事隧道及边坡施工安全控制方面的研究。E-mail:22927082@qq.com

通讯作者:
冷先伦(1980-), 男, 副研究员, 主要从事岩土力学与岩土工程稳定方面的研究。E-mail:xlleng@whrsm.ac.cn

中图分类号: X43
计量
- 文章访问数: 466
- PDF下载量: 207
- 被引次数: 0
出版历程
- 收稿日期: 2021-06-25

Reliability analysis of slope with dominant seepage interlayer under rainfall infiltration

Xiao Jinghong^1
,,
Wang Min¹,
Wang Chuan^{2, 3},
Leng Xianlun^{2, 3
, ,}

摘要

摘要: 含优势渗流层边坡在降雨入渗的作用下其渗流场往往具有较高的不确定性，这给边坡的稳定性评价带来困难，通常采用概率的方法解决此类问题。针对含优势渗流层边坡降雨入渗下的可靠度问题，通过将应力分析中的点估计-有限元法引入到边坡渗流-稳定性分析，提出了考虑优势渗流层渗透特性不确定性的渗流概率分析和边坡可靠度分析方法；其次以广西某含碎石夹层土坡为例，分析了降雨入渗下碎石夹层的优势渗流效应及渗流概率，并基于此开展了该边坡降雨入渗下的可靠度分析。结果表明：①含优势渗流层边坡雨水沿优势渗流层渗入坡体内部的深度显著高于沿坡面渗入的深度；优势渗流层渗透特性的不确定性对渗流结果的影响较大，使得边坡稳定性分析具有较强的不确定性；②随着雨水入渗持时的增加，含优势渗流层边坡不同滑动面的失效概率总体呈现增加趋势，最危险滑动面的位置不断向边坡下部演化；依托工程滑动面位置的预测结果与工程实际吻合；③提出的概率分析方法适用于分析含优势渗流层边坡降雨入渗影响下的稳定性问题，而且具有计算量小的优势，可作这类边坡可靠度分析的一种新方法。
- 优势渗流层 /
- 边坡稳定性 /
- 降雨入渗 /
- 渗流概率 /
- 可靠度
Abstract: Slopes with dominant seepage interlayers (DSI)often have relatively high uncertainty in their seepage field under the action of rainfall infiltration, which brings difficulties to the stability evaluation.In this regard, probabilistic methods are usually used to analyze the stability of such slopes.For analyzing the reliability of slopes with DSI under rainfall infiltration, the point estimation-finite element method used in the stress analysis was introduced to the slope seepage-stability analysis, and a method for seepage probability and reliability analysis of slopes was developed considering the uncertainty of permeability of DSI.Then, by taking a soil slope with gravel interlayer acting as DSI in Guangxi Province as the engineering case, the seepage probability of DSI under rainfall infiltration was analyzed, and then the slope reliability analysis was conducted based on the seepage probability.Results show that:① In the slope with DSI, the depth of rainwater infiltration along DSI is significantly higher than that along the slope surface; the uncertainty of the permeability of DSI has a great impact on the seepage field, which results in the strong uncertainty of slope stability; ② With the rainwater infiltration in the slope with DSI, the failure probability of different potential slip surfaces generally increases, and the position of the most dangerous slip surface evolves from the upper part to the lower part of the slope. The prediction of the position of slip surface is consistent with the practice; ③The proposed probability analysis method, with the advantages of small calculation amount, is suitable and can be used as a new method for analyzing the stability of slopes with DSI under the influence of rainfall infiltration.
- dominant seepage interlayer /
- slope stability /
- rainfall infiltration /
- seepage probability /
- reliability

HTML全文

图 1 含优势渗流层边坡概化模型

Figure 1. Generalized model of slope with dominant seepage interlayer

下载: 全尺寸图片幻灯片

图 2 基于优势渗流层渗流概率的边坡可靠度分析流程

Figure 2. Analysis process of slope reliability using seepage probability of dominant permeable layer

下载: 全尺寸图片幻灯片

图 3 边坡几何模型

Figure 3. Model of slope geometry

下载: 全尺寸图片幻灯片

图 4 边坡优势渗流层渗流参数的随机数取值及统计分布

Figure 4. Random number values and statistical distribution of seepage parameters of dominant seepage interlayer of the slope

下载: 全尺寸图片幻灯片

图 5 湿润锋深度的统计规律及对比分析

Figure 5. Statistical and comparative analysis of the wet fronts depth

下载: 全尺寸图片幻灯片

图 6 边坡安全系数的统计规律及对比分析

Figure 6. Statistical and comparative analysis of safety factors of the slope

下载: 全尺寸图片幻灯片

图 7 依托工程边坡地质剖面

Figure 7. Geological section of the slope of the engineering case

下载: 全尺寸图片幻灯片

图 8 依托工程滑坡概况

Figure 8. Overview of the landslide of the engineering case

下载: 全尺寸图片幻灯片

图 9 边坡渗流分析的材料参数

Figure 9. Material parameters for slope seepage analysis

下载: 全尺寸图片幻灯片

图 10 边坡潜在滑动面的设置

Figure 10. Setting of potential sliding surfaces of the slope

下载: 全尺寸图片幻灯片

图 11 降雨入渗下边坡含水量分布图

Figure 11. Water content distribution of the slope under rainfall infiltration

下载: 全尺寸图片幻灯片

图 12 优势渗流层含水量的概率分布示意图

Figure 12. Probability distribution of water content of the dominant seepage interlayer of the slope

下载: 全尺寸图片幻灯片

图 13 不同滑动面安全系数随降雨持时的概率分布规律

Figure 13. Probability distribution of safety factors of different sliding surfaces with rainfall duration

下载: 全尺寸图片幻灯片

图 14 边坡稳定性可靠度随降雨持时的变化规律

Figure 14. Variation of reliability of slope stability with rainfall duration

下载: 全尺寸图片幻灯片

表 1 边坡地层的水力和力学参数

Table 1. Hydraulic and mechanical parameters of slope formation

地层类型	渗流计算的参数						稳定性计算的参数
地层类型	残余体积含水量/(m³·m^-3)	饱和体积含水量/(m³·m^-3)	饱和渗透系数/(m·d^-1)	a	m	n	干密度/(g·cm^-3)	黏聚力/kPa	内摩擦角/(°)
常规地层	0.10	0.45	0.05	15	1.8	0.7	1.3	45	35
优势渗流层	0.08±0.02(x±σ_x)	0.5±0.1 (x±σ_x)	1.0±0.3 (x±σ_x)	25	1.0	1.3	1.5	35	45
注：a、n、m为控制体积水含量函数形状的曲线拟合参数

下载: 导出CSV

表 2 坡体岩土力学参数

Table 2. Geotechnical mechanics parameters of the slope

地层类型	密度/(g·cm^-3)		黏聚力/kPa		内摩擦角/(°)		体积含水量/(m³·m^-3)
地层类型	天然	饱和	天然	饱和	天然	饱和	天然	残余	饱和
碎石夹层	1.7	1.9	36	25	44	35	0.12	0.08	0.54
粉质黏土	1.4	1.6	45	33	37	26	0.15	0.10	0.46

下载: 导出CSV

表 3 边坡渗流拟合的输入参数

Table 3. Input parameters for slope seepage fitting

土体类型	残余体积含水量/(m³·m^-3)	饱和体积含水量/(m³·m^-3)	饱和渗透系数/(m·d^-1)	a	m	n
粉质黏土	0.10	0.45	0.05	15	1.8	0.7
碎石夹层	0.08±0.01(x±σ_x)	0.54±0.07(x±σ_x)	1.0±0.3(x±σ_x)	25	1.0	1.3

下载: 导出CSV

参考文献(42)

[1]	Li L, Ju N.Effect of the inclined weak interlayers on the rainfall response of a bedded rock slope[J]. Journal of Mountain Science, 2016, 13(9):1663-1674. doi: 10.1007/s11629-015-3594-7
[2]	Huang M, Fan X, Wang H.Three-dimensional upper bound stability analysis of slopes with weak interlayer based on rotational-translational mechanisms[J]. Engineering Geology, 2017,223:82-91. doi: 10.1016/j.enggeo.2017.04.017
[3]	Liu J, Chen L, Liu J.Failure modes and stability of rock mass slope containing multi-weak interlayer[J]. Journal of Applied Sciences, 2013, 13(21):4371-4378. doi: 10.3923/jas.2013.4371.4378
[4]	Yang Y, Xing H, Yang X, et al.Experimental study on the dynamic response and stability of bedding rock slopes with weak interlayers under heavy rainfall[J]. Environmental Earth Sciences, 2018, 77(12):1-16. http://www.onacademic.com/detail/journal_1000040400034710_2ebb.html
[5]	Yu S, Zhang J, Ren X.Numerical analysis of the seepage characteristics of slopes with weak interlayers under different rainfall levels[J]. Applied Ecology and Environmental Research, 2019, 17(5):12465-12478. http://www.researchgate.net/publication/337190381_NUMERICAL_ANALYSIS_OF_THE_SEEPAGE_CHARACTERISTICS_OF_SLOPES_WITH_WEAK_INTERLAYERS_UNDER_DIFFERENT_RAINFALL_LEVELS
[6]	Kulasingam R, Malvick E J, Boulanger R W, et al.Strength loss and localization at silt interlayers in slopes of liquefied sand[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004,130(11):1192-1202. doi: 10.1061/(ASCE)1090-0241(2004)130:11(1192)
[7]	Trandafir A C, Sidle R C, Gomi T, et al.Monitored and simulated variations in matric suction during rainfall in a residual soil slope[J]. Environmental Geology, 2008, 55(5):951-961. doi: 10.1007/s00254-007-1045-7
[8]	Tsirel S V, Pavlovich A A, Mel'nikov N Y, et al.Physical modeling of deformation processes in pit slope with steep dip bedding[J]. Journal of Mining Science, 2019, 3:22-30. doi: 10.1134/S1062739119035672
[9]	曾江波, 付智勇, 肖林超, 等.基于降雨作用下滑面抗剪强度动态变化的层状边坡稳定性评价[J].地质科技情报, 2018, 37(4):225-231. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201804031.htm Zeng J B, Fu Z Y, Xiao L C, et al.Slope stability evaluation considering variation of shear strength slip surface in layered slope under rainfall[J]. Geological Science and Technology Information, 2018, 37(4):225-231 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201804031.htm
[10]	段钊, 张弘, 唐皓, 等.泾河下游黄土台塬区侵蚀诱发滑坡机理[J].地质科技情报, 2019, 38(6):10-16. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201906003.htm Duan Z, Zhang H, Tang H, et al.Mechanism of erosion induced landslide in loess plateau area at the lower reaches of the Jing River[J]. Geological Science and Technology Information, 2019, 38(6):10-16 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201906003.htm
[11]	吴凯峰, 郑志勇, 余海兵.基于应变软化特征的含软弱层公路边坡稳定性研究[J].地质科技情报, 2019, 38(6):150-156. https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201906018.htm Wu K F, Zheng Z Y, Yu H B.Stability evaluation of highway slope soft layer based on strain softening characteristics[J]. Geological Science and Technology Information, 2019, 38(6):150-156 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-DZKQ201906018.htm
[12]	Tsirel S V, Pavlovich A A, Mel'nikov N Y, et al.Physical modeling of deformation processes in pit slope with steep dip bedding[J]. Journal of Mining Science, 2019, 3:22-30. doi: 10.1134/S1062739119035672
[13]	肖景红, 王敏, 王川, 等.降雨诱发含碎石夹层土坡破坏演化规律研究[J].公路工程, 2021, 46(3):194-201. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL202103029.htm Xiao J H, Wang M, Wang C, et al.Study on the failure evolution mechanism of soil slope with gravel interlayer under rainfall infiltration[J]. Highway Engineering, 2021, 46(3):194-201 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGL202103029.htm
[14]	杨煜, 何忠明, 王保林, 等.不同降雨条件下含软弱夹层土坡渗流特性数值分析[J].矿冶工程, 2018, 38(3):15-19. doi: 10.3969/j.issn.0253-6099.2018.03.004 Yang Y, He Z M, Wang B L, et al.Numerical analysis for seepage characteristics of soil slope with weak intercalations under different rainfall conditions[J]. Mining and Metallurgical Engineering, 2018, 38(3):15-19 (in Chinese with English abstract). doi: 10.3969/j.issn.0253-6099.2018.03.004
[15]	张硕, 裴向军, 黄润秋, 等.降雨诱发黄土高填方支挡边坡失稳机理研究[J].工程地质学报, 2017, 25(4):1094-1104. https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ201704024.htm Zhang S, Pei X J, Huang R Q, et al.Rainfall induced instability mechanism of high embankment retaining loess slope[J]. Journal of Engineering Geology, 2017, 25(4):1094-1104 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-GCDZ201704024.htm
[16]	Zhang G, Wang R, Qian J, et al.Effect study of cracks on behavior of soil slope under rainfall conditions[J]. Soils and Foundations, 2012, 52(4):634-643. doi: 10.1016/j.sandf.2012.07.005
[17]	Wang R, Zhang G, Zhang J.Centrifuge modelling of clay slope with montmorillonite weak layer under rainfall conditions[J]. Applied Clay Science, 2010, 50(3):386-394. doi: 10.1016/j.clay.2010.09.002
[18]	Fan P, Liu Q, Li J, et al.Numerical analysis of rainfall infiltration in the slope with a fracture[J]. Science in China Series E-Engineering & Materials Science, 2005, 48:107-120. http://www.researchgate.net/profile/Q_Liu/publication/225760587_Numerical_analysis_of_rainfall_in_filtration_in_the_slope_with_a_fracture/links/5580be3e08aea3d7096e4dc0.pdf
[19]	周峙, 张家铭, 宁伏龙, 等.降雨入渗下裂土边坡水分运移时空特征与失稳机理[J].交通运输工程学报, 2020, 20(4):107-119. https://www.cnki.com.cn/Article/CJFDTOTAL-JYGC202004012.htm Zhou Z, Zhang J M, Ning F L, et al.Temporal and spatial characteristics of moisture migration and instability mechanism of cracked soil slope under rainfall infiltration[J]. Journal of Traffic and Transportation Engineering, 2020, 20(4):107-119 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-JYGC202004012.htm
[20]	湛文涛, 肖杰, 陈冠一, 等.膨胀土边坡渗流数值模拟及稳定性分析[J].工业建筑, 2018, 48(9):133-139. https://www.cnki.com.cn/Article/CJFDTOTAL-GYJZ201809022.htm Zhan W T, Xiao J, Chen G Y, et al.Numerical simulation of seepage and stability analysis of expansive soil slope[J]. Industrial Construction, 2018, 48(9):133-139 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-GYJZ201809022.htm
[21]	Huang M, Jia C.Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage[J]. Computers and Geotechnics, 2009, 36(1/2):93-101. http://www.onacademic.com/detail/journal_1000034064398110_e999.html
[22]	Valley B, Kaiser P K, Duff D.Consideration of uncertainty in modelling the behaviour of underground excavations[C]//Crawley: 5th international seminar on deep and high stress mining, 2010.
[23]	李海轮, 王川, 冷先伦, 等.基于点估计-有限元法的地下厂房开挖变形与扰动的概率分析[J].水电能源科学, 2021, 39(1):119-123. https://www.cnki.com.cn/Article/CJFDTOTAL-SDNY202101030.htm Li H L, Wang C, Leng X L, et al.Probability research on deformation and disturbance of underground excavation based on PEM-FEM Method[J]. Hydropower and Energy Science, 2021, 39(1):119-123 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-SDNY202101030.htm
[24]	王川, 冷先伦, 李海轮, 等.节理分布空间变异的地下洞室稳定性概率分析[J].岩土力学, 2021, 42(1):224-232,244. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202101025.htm Wang C, Leng X L, Li H L, et al.Probabilistic stability analysis of underground caverns considering spatial variation of joint distribution[J]. Rock and Soil Mechanics, 2021, 42(1):224-232,244 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX202101025.htm
[25]	Liu L, Cheng Y, Wang X, et al.System reliability analysis and risk assessment of a layered slope in spatially variable soils considering stratigraphic boundary uncertainty[J]. Computers and Geotechnics, 2017, 89:213-225. doi: 10.1016/j.compgeo.2017.05.014
[26]	Zhou X, Zhu B, Juang C, et al.A stability analysis of a layered-soil slope based on random field[J]. Bulletin of Engineering Geology and the Environment, 2019, 78(4):2611-2625. doi: 10.1007/s10064-018-1266-x
[27]	Liu L, Cheng Y, Pan Q, et al.Incorporating stratigraphic boundary uncertainty into reliability analysis of slopes in spatially variable soils using one-dimensional conditional Markov chain model[J]. Computers and Geotechnics, 2020,118:1-13. http://www.sciencedirect.com/science/article/pii/S0266352X19303854
[28]	Yuan J, Papaioannou I, Straub D.Probabilistic failure analysis of infinite slopes under random rainfall processes and spatially variable soil[J]. Georisk-Assessment and Management of Risk for Engineered Systems and Geohazards, 2019, 13(1):20-33. doi: 10.1080/17499518.2018.1489059
[29]	Cho E S.Probabilistic stability analysis of rainfall-induced landslides considering spatial variability of permeability[J]. Engineering Geology, 2014,171:11-20. doi: 10.1016/j.enggeo.2013.12.015
[30]	Dou H, Han T, Gong X, et al.Effects of the spatial variability of permeability on rainfall-induced landslides[J]. Engineering Geology, 2015,192:92-100. doi: 10.1016/j.enggeo.2015.03.014
[31]	张顷顷, 王来贵, 张华宾, 等.弱层台阶边坡可靠度非侵入式随机分析[J].中国安全生产科学技术, 2020, 16(11):35-41. https://www.cnki.com.cn/Article/CJFDTOTAL-LDBK202011008.htm Zhang Q Q, Wang L G, Zhang H B, et al.Non-intrusive random analysis on reliability of weak layers bench slope[J]. China Work Safety Science and Technology, 2020, 16(11):35-41 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-LDBK202011008.htm
[32]	陈朝晖, 黄凯华.土质边坡可靠性分析的分层非平稳随机场模型[J].岩土工程学报, 2020, 42(7):1247-1256. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202007012.htm Chen Z H, Huang K H.Layered non-stationary random field model for reliability analysis of soil slopes[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(7):1247-1256 (in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202007012.htm
[33]	Zhang W, Meng F, Chen F, et al.Effects of spatial variability of weak layer and seismic randomness on rock slope stability and reliability analysis[J]. Soil Dynamics and Earthquake Engineering, 2021,146:1-9. http://www.sciencedirect.com/science/article/pii/S0267726121001573
[34]	Li X, Zhang L, Zhu H, et al.Modeling geologic profiles incorporating interlayer and intralayer variabilities[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2018,144(8):1-9 http://smartsearch.nstl.gov.cn/paper_detail.html?id=25533d1ed8b2fed873c9414bf3ab7010
[35]	Fredlund D G, Xing A Q, Fredlund M D, et al.The relationship of the unsaturated soil shear strength to the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1996, 33(3):440-448. doi: 10.1139/t96-065
[36]	李育超, 凌道盛, 陈云敏, 等.蒙特卡洛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:1000-6915.2005.11.019 Li Y C, Ling D S, Chen Y M, 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 with English abstract). doi: 10.3321/j.issn:1000-6915.2005.11.019
[37]	Zhu D, Griffiths D V, Fenton G A.Probabilistic stability analyses of layered excavated slopes[J]. Geotechnique Letters, 2019, 9(3):161-164. doi: 10.1680/jgele.18.00252
[38]	Rosenblueth E.Point estimates for probability moments[J]. Proceedings of the National Academy of Sciences of the United States of America, 1975, 72(10):3812-3814. doi: 10.1073/pnas.72.10.3812
[39]	Fredlund D G, Xing A Q.Equations for the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4):521-532. doi: 10.1139/t94-061
[40]	Fredlund D G, Xing A Q, Huang S Y.Predicting the permeability function for unsaturated soils using the soil-water characteristic curve[J]. Canadian Geotechnical Journal, 1994, 31(4):533-546. doi: 10.1139/t94-062
[41]	Zolfaghari A R, Heath A C, Mccombie P F.Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis[J]. Computers and Geotechnics, 2005, 32(3):139-52. doi: 10.1016/j.compgeo.2005.02.001
[42]	蒋鑫, 高小峰, 邱延峻.斜坡软弱地基路堤复式滑面的极限平衡法判识[J].铁道学报, 2014, 36(8):91-97. doi: 10.3969/j.issn.1001-8360.2014.08.015 Jiang X, Gao X F, Qiu Y J.Identification of compound slip surface of embankment on slope with weak foundation by limit equilibrium method[J]. Journal of the China Railway Society, 2014, 36(8):91-97 (in Chinese with English abstract). doi: 10.3969/j.issn.1001-8360.2014.08.015