A stability analysis of a layered-soil slope based on random field

Xiao-Ping Zhou1, Bin-Zhan Zhu2, Charng-Hsein Juang3, Louis Ngai Yuen Wong4
1School of Civil Engineering, Chongqing University, Chongqing, People’s Republic of China
2China Nuclear Power Engineering Co. Ltd., Shenzhen, People’s Republic of China
3Department of Civil Engineering, Clemson University, Clemson, USA.
4Department of Earth Sciences, the University of Hong Kong, Hong Kong, People’s Republic of China

Tóm tắt

This paper details a method for investigating the stability of a layered slope that combines random field theory with horizontal integration. Both the cohesion and friction coefficient are treated as a Gaussian random field. The closed-form solution of the factor of safety and the probability of failure of the layered slope are derived, in which the effects of spatial correlation lengths and spatial correlation parameters on the stability of the layered slope are considered. The derived probability of failure is greatly affected by the input spatial correlation length of the soil parameters. The effectiveness of this proposed method is validated with the results of the Monte Carlo simulation.

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Tài liệu tham khảo

Bird JF, Bommer JJ (2004) Earthquake losses due to ground failure. Eng Geol 75(2):147–179 Chen C, Yang Y, Gong X (2003) Horizontal slice method of slope stability analysis under seismic load based on genetic algorithm. Chinese J Rock Mech Eng 22(11):1919–1923 (in Chinese) Cho SE (2013) First-order reliability analysis of slope considering multiple failure modes. Eng Geol 154(3):98–105 Dai FC, Lee CF, Ngai YY (2002) Landslide risk assessment and management: an overview. Eng Geol 64(1):65–87 Day RW, Axten GW (1989) Surficial stability of compacted clay slope. J Geotech Eng 115(4):577–580 Duncan JM, Buchignani AL (1973) Failure of underwater slope in San Francisco Bay. J Soil Mech Foundations Division 99(9):687–703 Elramly H, Morgenstern NR, Cruden DM (2002) Probabilistic slope stability analysis for practice. Can Geotech J 39(3):665–683 Fan MQ (2000) Probabilistic property of shear strength parameters φ, c of refilled clay. J Nanjing Hydraulic Res Inst 19(4):100–104 (in Chinese) Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. John Wiley and Sons 90(226):78–101 Gravanis E, Pantelidis L, Griffiths DV (2014) An analytical solution in probabilistic rock slope stability assessment based on random fields. Int J Rock Mech Min Sci 71(1):19–24 Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron Eng ASCE 130(5):507–518 Griffiths DV, Fenton GA (2007) Probabilistic methods in geotechnical engineering. Springer, New York Griffiths DV, Huang JS, Fenton GA (2009) Influence of spatial variability on slope reliability using 2-D random field. J Geotech Geoenviron 135(10):1367–1378 Griffiths DV, Huang J, Dewolfe GF (2011) Numerical and analytical observations on long and infinite slopes. Int J for Numer Anal Met 35(5):569–585 Huang RQ (2009) Some catastrophic landslides since the twentieth century in the southwest of China. Landslides 6(1):69–81 Huang XC, Zhou XP, Ma W, Niu YW, Wang YT (2017) Two-dimensional stability assessment of rock slope based on random field. Int J Geomech 17(7):04016155 Jha SK, Ching J (2013) Simplified reliability method for spatially variable undrained engineered slope. Soils Found 53(5):708–719 Juang CH, Jhi YY, Lee DH (1998) Stability analysis of existing slope considering uncertainty. Eng Geol 49(2):111–122 Legros F (2002) The mobility of long-runout landslides. Eng Geol 63(3–4):301–331 Li DQ, Zhou CB, Lu WB, Jiang QH (2009) A system reliability approach for evaluating stability of rock wedges with correlated failure modes. Comput Geotech 36(8):1298–1307 Li D, Chen Y, Lu W, Zhou C (2011) Stochastic response surface method for reliability analysis of rock slope involving correlated non-normal variables. Comput Geotech 38(1):58–68 Li L, Wang Y, Cao Z, Chu X (2013) Risk de-aggregation and system reliability analysis of slope stability using representative slip surfaces. Comput Geotech 53(3):95–105 Li DQ, Zhang L, Tang XS, Zhou W, Li JH, Zhou CB, Phoon KK (2015) Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability. Comput Geotech 68(1):184–195 Liu C, Bai SW, Zhao HB (2003) Statistical regularity research of physical and mechanical indexes of clay. Rock Soil Mech 24(S10):180–184 (in Chinese) Low BK (2007) Reliability analysis of rock slope involving correlated nonnormals. Int J Rock Mech Min Sci 44(6):922–935 Pang XC, Zhou XW (2002) The simulation of random field and its application in dam reliability analysis. Yangtze River Sci Res Inst 19(4):27–29 Rackwitz R (2000) Reviewing probabilistic soils modelling. Comput Geotech 26(3/4):199–223 Tang XS, Li DQ, Rong G, Phoon KK, Zhou CB (2013) Impact of copula selection on geotechnical reliability under incomplete probability information. Comput Geotech 49(4):264–278 Titi H, Helwany S (2007) Investigation of vertical members to resist surficial slope instabilities, (WHRP 07–03). Wisconsin Department of Transportation, Madison, WI Vasu NN, Lee SR, Pradhan AMS, Kim YT, Kang SH, Lee DH (2016) A new approach to temporal modelling for landslide hazard assessment using an extreme rainfall induced-landslide index. Eng Geol 215:36–49 Westen CJV, Asch TWJV, Soeter R (2006) Landslide hazard and risk zonation—why is it still so difficult? Bull Eng Geol Environ 65(2):167–184 Ye WT, Pedroso DM, Scheuermann A, Williams DJ (2016) Probabilistic reliability analysis of multiple slope with genetic algorithms. Comput Geotech 77:68–76 Zeng P, Jimenez R, Jurado-Piña R (2015) System reliability analysis of layered soil slope using fully specified slip surfaces and genetic algorithms. Eng Geol 193:106–117 Zhang J, Huang HW, Juang CH, Li DQ (2013) Extension of Hassan and Wolff method for system reliability analysis of soil slope. Eng Geol 160(12):81–88 Zhang X, Zhang Z, Zhang Y, Zhao Z (2014) Integration form and the general mathematical model of Sweden circle method. Chinese J Appl Mech 31(1):162–168 (in Chinese) Zhou CH, Lee CF, Li J, Xu ZW (2002) On the spatial relationship between landslides and causative factors on Lantau Island, Hong Kong. Geomorphology 43(3–4):197–207 Zhou XP, Qian QH, Cheng H, Zhang HP (2015) Stability analysis of two-dimensional landslides subjected to seismic loads. Acta Mechanica Solida Sinica 28(3):262–276 Zhou,X.P. & Cheng, H.( 2013). Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method. Eng Geol 160:21–33 Zhou XP, Zhu BZ, Wong LNY (2017a) A stability analysis of landslides based on random fields - part I: toe circle slope. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-017-1054-z Zhou XP, Zhu BZ, Wong LNY (2017b) A stability analysis of landslides based on random fields, part II: base circle slope. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-017-1051-2