Sciences in Cold and Arid Regions ›› 2015, Vol. 7 ›› Issue (4): 354364.doi: 10.3724/SP.J.1226.2015.00354
• ARTICLES • 上一篇
Probabilistic analysis of embankment slope stability in frozen ground regions based on random finite element method
Xi Chen1,2, JianKun Liu1, Nan Xie1, HuiJing Sun1
- 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
2. Qinghai Research and Observation Base, Key Laboratory of Highway Construction & Maintenance Technology in Permafrost Regions, Ministry of Transport, Xining, Qinghai 810001, China
Probabilistic analysis of embankment slope stability in frozen ground regions based on random finite element method
Xi Chen1,2, JianKun Liu1, Nan Xie1, HuiJing Sun1
- 1. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
2. Qinghai Research and Observation Base, Key Laboratory of Highway Construction & Maintenance Technology in Permafrost Regions, Ministry of Transport, Xining, Qinghai 810001, China
摘要: Prediction on the coupled thermal-hydraulic fields of embankment and cutting slopes is essential to the assessment on evolution of melting zone and natural permafrost table, which is usually a key factor for permafrost embankment designin frozen ground regions. The prediction may be further complicated due to the inherent uncertainties of materialproperties. Hence, stochastic analyses should be conducted. Firstly, Karhunen-Loeve expansion is applied to attain the random fields for hydraulic and thermal conductions. Next, the mixed-form modified Richards equation for mass transfer (i.e., mass equation) and the heat transport equation for heat transient flow in a variably saturated frozen soil are combined into one equation with temperature unknown. Furthermore, the finite element formulation for the coupled thermal-hydraulic fields is derived. Based on the random fields, the stochastic finite element analyses on stability of embankment are carried out. Numerical results show that stochastic analyses of embankment stability may provide a more rational picture for the distribution of factors of safety (FOS), which is definitely useful forembankment design in frozen ground regions.
Anisimov OA, Shiklomanov NI, Nelson FE, 2002. Variability of seasonal thaw depth in permafrost regions: a stochastic modeling approach. Ecological Modelling, 153(3): 217-227. DOI:10.1016/S0304-3800(02)00016-9. Chen X, TohKC,Phoon KK, 2006. A modified SSOR preconditioner for sparse symmetric indefinite linear systems of equations. International Journal for Numerical Methods in Engineering, 65(6): 785-807.DOI: 10.1002/nme.1461. Chen X, Yu Y, Cheng Y, 2012. Under-relaxation methods for numerical solution of Richards equation of variably saturated flow. Rock and Soil Mechanics, 33(Suppl.1): 238-243. Chen X, Liu JK, Feng Y, et al., 2013.A pseudo-coupled numerical approach for stability analysis of frozen soil slopes based on finite element limit analysis method. Sciences in Cold and Arid Regions, 5(4): 478-487.DOI: 10.3724/SP.J.1226.2013.00478. Chen X, Wu Y, Yu Y, et al.,2014a.A two-grid search scheme for large-scale 3-D finite element analyses of slope stability. Computers and Geotechnics, 62: 203-215. DOI:10.1016/j.compgeo.2014.07.010. Chen X, Jie Y, Liu J, 2014b. Robust partitioned block preconditioners for large-scale geotechnical applications with soil-structure interactions. International Journal for Numerical and Analytical Methods in Geomechanics, 38(1): 72-91.DOI: 10.1002/nag.2199. Cipra BA, 2000. The best of the 20th century: editors name top 10 algorithms. SIAM News, 33(4): 1-2. Dankers R, Anisimov O, Falloon P, et al., 2010.Uncertainties in the simulation of permafrost response to global warming. In: EGU General Assembly Conference Abstracts, 12: 12966. Fenton GA, Griffiths DV, 2008. Risk Assessment in Geotechnical Engineering. John Wiley & Sons Inc.. Griffiths DV, Fenton GA, 2004.Probabilistic slope stability analysis by finite elements. Journal of Geotechnical and Geoenvironmental Engineering, 130(5): 507-518.DOI: 10.1061/(ASCE)1090-0241(2004)130:5(507). Krahn J, 2004. Stability modeling with Slope/W.An Engineering Methodology. Calgary, Canada, Geo-Slope/W international Ltd.. Lai Y, Li S, Qi J, et al., 2008. Strength distributions of warm frozen clay and its stochastic damage constitutive model. Cold Regions Science and Technology, 53(2): 200-215.DOI: 10.1016/j.coldregions.2007.11.001. Phoon KK, Kulhawy FH, 1999. Characterization of geotechnical variability. Canadian Geotechnical Journal, 36(4): 612-624.DOI: 10.1139/t99-038. Phoon KK, Ching J, 2015. Risk and Reliability in Geotechnical Engineering.CRC Press. Pustovoit GP, 1997. Limiting-state design of permafrost beds for global warming. Soil Mechanics and Foundation Engineering, 34(5): 163-166.DOI: 10.1007/bf02465953. Qi C, Wu Q, Shi B, et al., 2005. Stochastic finite element analysis for the temperature field of frozen soil roadbed of Qinghai-Tibet Railway. Journal of Engineering Geology, 13(3): 330-335.DOI: 10.3969/j.issn.1004-9665.2005.03.009. Santoso AM, 2011.Role of uncertainity in soil hydraulic properties in rainfall-induced landslides.Ph.D. Thesis of National University of Singapore. Shinozuka M, Astill CJ, 1972. Random eigenvalue problems in structural analysis. AIAA Journal, 10(4): 456-462. Sudret B, Der Kiureghian A, 2000. Stochastic finite element methods and reliability: a state-of-the-art report. Department of Civil and Environmental Engineering, University of California. Wang P, Wang L, Zhu H, et al., 2012. Primary analysis on change characteristics of soil temperature in recent 49 years and relationship between soil temperature and air temperature in Heilongjiang province. Heilongjiang Agricultural Sciences, (7): 25-27. DOI: 10.3969/j.issn.1002-2767.2012.07.007. Wang T, Zhou G, 2013. Neumann stochastic finite element method for calculating temperature field of frozen soil based on random field theory. Sciences in Cold and Arid Regions, 5(4): 488-497.DOI: 10.3724/sp.j.1226.2013.00488. Wang T, Zhou G, Wang J, et al., 2015.Stochastic analysis model of uncertain temperature characteristics for embankment in warm permafrost regions. Cold Regions Science and Technology, 109: 43-52.DOI: 10.1016/j.coldregions.2014.09.013. Wen Z, Sheng Y, Ma W, et al., 2010.Probabilistic analysis of the replacement thickness of the in-cuts roadbed in permafrost regions. Cold Regions Science and Technology, 64(1): 57-67.DOI: 10.1016/j.coldregions.2010.07.002. Yang CS, Cheng GD, 2011a. Probabilistic prediction of the impacts of climate change on permafrost stability along the Qinghai-Tibet Railway (I): Active layer thickness and ground temperature. Journal of Glaciology and Geocryology, 33(3):461-468. Yang CS, Cheng GD, 2011b. Probabilistic prediction of the impacts of climate change on permafrost stability along the Qinghai-Tibet Railway (II): Active layer thickness and settlement deformation. Journal of Glaciology and Geocryology, 33(3): 469-478. Yang Y, Luo Q, Chen Z, 2010.Experimental study on shear strength of graded gravel for passenger dedicated line. Subgrade Engineering, (4): 75-78. |
[1] | Stuart A. Harris, HuiJun Jin, RuiXia He, SiZhong Yang. Tessellons, topography, and glaciations on the Qinghai-Tibet Plateau[J]. Sciences in Cold and Arid Regions, 2018, 10(3): 187-206. |
[2] | Yan Lu, Xin Yi, WenBing Yu, WeiBo Liu. Numerical analysis on the thermal regimes of thermosyphon embankment in snowy permafrost area[J]. Sciences in Cold and Arid Regions, 2017, 9(6): 580-586. |
[3] | ZuHan Liu, JianHua Xu, WeiHong Li. Complex network analysis of climate change in the Tarim River Basin, Northwest China[J]. Sciences in Cold and Arid Regions, 2017, 9(5): 476-487. |
[4] | ZhiZhong Sun, HongLei Wang, WenJie Feng, YongZhi Liu, ShuJuan Zhang. Characteristics of thawed interlayer and its effect on settlement beneath embankment in permafrost regions—A case study for the Qinghai-Tibet Highway[J]. Sciences in Cold and Arid Regions, 2017, 9(5): 447-454. |
[5] | YuChi Liu, ZhiGang Song. Study on the adaptability of block-rock embankment in permafrost regions[J]. Sciences in Cold and Arid Regions, 2017, 9(4): 412-419. |
[6] | Evgeny S. Ashpiz, Tatyana S. Vavrinyuk. Strengthening long-term embankments maintained on permafrost soils[J]. Sciences in Cold and Arid Regions, 2017, 9(3): 317-320. |
[7] | Sanjaya Gurung, Bikas C. Bhattarai, Rijan B. Kayastha, Dorothea Stumm, Sharad P. Joshi, Pradeep K. Mool. Study of annual mass balance (2011-2013) of Rikha Samba Glacier, Hidden Valley, Mustang,Nepal[J]. Sciences in Cold and Arid Regions, 2016, 8(4): 311-318. |
[8] | Wei Liu, ZongXing Li, Meng Zhu, XiaoYan Guo, LiJuan Chen. Temperature and precipitation changes in Extensive Hexi Region, China, 1960-2011[J]. Sciences in Cold and Arid Regions, 2016, 8(3): 212-226. |
[9] | Jie Xue, JiaQiang Lei, DongWei Gui, JianPing Zhao, DongLei Mao, Jie Zhou. Synchronism of runoff response to climate change in Kaidu River Basin in Xinjiang, Northwest China[J]. Sciences in Cold and Arid Regions, 2016, 8(1): 82-94. |
[10] | Alexey Y. Burukin, Svyatoslav Ya. Lutskiy, Konstantin N. Khripkov. In-depth improvement of soil at the base of roads on taliks[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 475-481. |
[11] | QingZhi Wang, BoWen Tai, ZhenYa Liu, JianKun Liu. Study on the sunny-shady slope effect on the subgrade of a high-speed railway in a seasonal frozen region[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 513-519. |
[12] | ZhiWen Xiong, YongPeng Yang, ZhaoRong Zhu, XiangQing Zhao, HanCheng Cai. Effect of climate change and railway embankment on the degradation of underlain permafrost[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 554-559. |
[13] | YongPeng Yang, YaoHui Qu, HanCheng Cai, Jia Cheng, CaiMei Tang. A system for automated monitoring of embankment deformation along the Qinghai-Tibet Railway in permafrost regions[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 560-567. |
[14] | Qiang Luo, WenQiang Lv, QingZhi Ye, RuiGuo Zhang. Structural analysis and design of frost resistance function for subgrade of high-speed railway ballasted track in cold regions[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 594-604. |
[15] | DeGou Cai, JianPing Yao, HongYe Yan, QianLi Zhang, AiJun Cheng, Jie Liu. Investigation of frost heave prevention using permeable subgrade structure[J]. Sciences in Cold and Arid Regions, 2015, 7(5): 611-618. |
|