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Erschienen in: Bulletin of Engineering Geology and the Environment 1/2019

08.05.2017 | Original Article

A stability analysis of landslides based on random fields - Part I: Toe circle slope

verfasst von: X. P. Zhou, B. Z. Zhu, Louis N. Y. Wong

Erschienen in: Bulletin of Engineering Geology and the Environment | Ausgabe 1/2019

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Abstract

The stability analysis of toe circle slopes is studied using random field theory from the perspective of probability, and the relationship between the failure probability of toe circle slopes and the correlation length is analyzed. The closed-form solutions of the safety factor and the failure probability of toe circle slopes are derived using the integration method. The accuracy of the safety factor of toe circle slopes is improved when the slice method is replaced by the integration method. The effects of spatial correlation length on the safety factor and failure probability of toe circle slopes are investigated. The results show that the spatial correlation length significantly affects the failure probability, and the vertical integration model is more suitable for the homogeneous toe circle slopes than the horizontal integration model.

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Literatur
Zurück zum Zitat Beacher GB, Ingra TS (1981) Stochastic FEM in settlement predictions. J Geotech Eng Div 107(4):111–129 Beacher GB, Ingra TS (1981) Stochastic FEM in settlement predictions. J Geotech Eng Div 107(4):111–129
Zurück zum Zitat Cai Y (2005) The reliability study of gravity retaining wall. Master’s degree thesis, Chengdu: Southwest Jiaotong University (in Chinese) Cai Y (2005) The reliability study of gravity retaining wall. Master’s degree thesis, Chengdu: Southwest Jiaotong University (in Chinese)
Zurück zum Zitat Chen C, Yang Y, Gong X (2003) Horizontal slice method of slope stability analysis under seismic load based on genetic algorithm. Chin J Rock Mech Eng 22(11):1919–1923 (in Chinese) Chen C, Yang Y, Gong X (2003) Horizontal slice method of slope stability analysis under seismic load based on genetic algorithm. Chin J Rock Mech Eng 22(11):1919–1923 (in Chinese)
Zurück zum Zitat Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng 120(12):2180–2207CrossRef Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng 120(12):2180–2207CrossRef
Zurück zum Zitat Cruden DM (1991) A simple definition of a landslide. Bulletin of Engineering Geology and the Environment 43(1):27–29 Cruden DM (1991) A simple definition of a landslide. Bulletin of Engineering Geology and the Environment 43(1):27–29
Zurück zum Zitat Dai FC, Lee CF, Ngai YY (2002) Landslide risk assessment and management: an overview. Eng Geol 64(1):65–87CrossRef Dai FC, Lee CF, Ngai YY (2002) Landslide risk assessment and management: an overview. Eng Geol 64(1):65–87CrossRef
Zurück zum Zitat Duncan JM (1996) State of the art: limit equilibrium and finite element analysis of slopes. J Geotech Eng 122(7):577–596CrossRef Duncan JM (1996) State of the art: limit equilibrium and finite element analysis of slopes. J Geotech Eng 122(7):577–596CrossRef
Zurück zum Zitat Duncan JM, Buchignani AL (1973) Failure of underwater slope in San Francisco Bay. J Soil Mech Found Div 99(9):687–703 Duncan JM, Buchignani AL (1973) Failure of underwater slope in San Francisco Bay. J Soil Mech Found Div 99(9):687–703
Zurück zum Zitat Duzgun HSB, Yucemen MS, Karpuz C (2002) A probabilistic model for the assessment of uncertainties in the shear strength of rock discontinuities. Int J Rock Mech Min Sci 39(6):743–754CrossRef Duzgun HSB, Yucemen MS, Karpuz C (2002) A probabilistic model for the assessment of uncertainties in the shear strength of rock discontinuities. Int J Rock Mech Min Sci 39(6):743–754CrossRef
Zurück zum Zitat Fan MQ (2000) Probabilistic property of shear strength parameters φ, c of refilled clay. J Nanjing Hydraul Res Inst 19(4):100–104 (in Chinese) Fan MQ (2000) Probabilistic property of shear strength parameters φ, c of refilled clay. J Nanjing Hydraul Res Inst 19(4):100–104 (in Chinese)
Zurück zum Zitat Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, HobokenCrossRef Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, HobokenCrossRef
Zurück zum Zitat Goh ATC (2017) Deterministic and reliability assessment of basal heave stability for braced excavations with jet grout base slab. Eng Geol 218:63–69 Goh ATC (2017) Deterministic and reliability assessment of basal heave stability for braced excavations with jet grout base slab. Eng Geol 218:63–69
Zurück zum Zitat 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 71:19–24CrossRef 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 71:19–24CrossRef
Zurück zum Zitat Green DKE, Douglas K, Mostyn G (2015) The simulation and discretization of random fields for probabilistic finite element analysis of soils using meshes of arbitrary triangular elements. Comput Geotech 68:91–108CrossRef Green DKE, Douglas K, Mostyn G (2015) The simulation and discretization of random fields for probabilistic finite element analysis of soils using meshes of arbitrary triangular elements. Comput Geotech 68:91–108CrossRef
Zurück zum Zitat Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron 130(5):507–518CrossRef Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron 130(5):507–518CrossRef
Zurück zum Zitat Hong CH, Gong XN, Zhao LR (2000) The statistical simulation of the spatial variability of soil properties. Zhejiang Univ Eng Sci 34(5):527–530 (in Chinese) Hong CH, Gong XN, Zhao LR (2000) The statistical simulation of the spatial variability of soil properties. Zhejiang Univ Eng Sci 34(5):527–530 (in Chinese)
Zurück zum Zitat Huang RQ (2009) Some catastrophic landslides since the twentieth century in the southwest of China. Landslides 6(1):69–81CrossRef Huang RQ (2009) Some catastrophic landslides since the twentieth century in the southwest of China. Landslides 6(1):69–81CrossRef
Zurück zum Zitat Hungr O (2015) An extension of Bishop’s simplified method of slope stability analysis to three dimension. Geotechnique 38(1):155–156CrossRef Hungr O (2015) An extension of Bishop’s simplified method of slope stability analysis to three dimension. Geotechnique 38(1):155–156CrossRef
Zurück zum Zitat Ji J, Liao HJ, Low BK (2012) Modeling 2-D spatial variation in slope reliability analysis using interpolated autocorrelations. Comput Geotech 40(3):135–146CrossRef Ji J, Liao HJ, Low BK (2012) Modeling 2-D spatial variation in slope reliability analysis using interpolated autocorrelations. Comput Geotech 40(3):135–146CrossRef
Zurück zum Zitat Jiang SH, Li DQ, Zhang LM, Zhou CB (2013) Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method. Eng Geol 168(1):120–128 Jiang SH, Li DQ, Zhang LM, Zhou CB (2013) Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method. Eng Geol 168(1):120–128
Zurück zum Zitat Lam L (2011) A general limit equilibrium model for three-dimensional slope stability analysis. Can Geotech J 31(31):795–796 Lam L (2011) A general limit equilibrium model for three-dimensional slope stability analysis. Can Geotech J 31(31):795–796
Zurück zum Zitat Li DQ, Zheng D, Cao ZJ, Tang XS, Phoon K-K (2016) Response surface methods for slope reliability analysis: review and comparison. Eng Geol 203:3–14CrossRef Li DQ, Zheng D, Cao ZJ, Tang XS, Phoon K-K (2016) Response surface methods for slope reliability analysis: review and comparison. Eng Geol 203:3–14CrossRef
Zurück zum Zitat Liu YH (1997) The theoretical analysis of slope stability of homogeneous clay. J Shaanxi Inst Technol 13(3):70–72 (in Chinese) Liu YH (1997) The theoretical analysis of slope stability of homogeneous clay. J Shaanxi Inst Technol 13(3):70–72 (in Chinese)
Zurück zum Zitat Liu N (2001) Reliability stochastic finite element method and its engineering application. China Water Power Press, Beijing (in Chinese) Liu N (2001) Reliability stochastic finite element method and its engineering application. China Water Power Press, Beijing (in Chinese)
Zurück zum Zitat Liu C, Bai SW, Zhao HB (2003) Statistical regularity research of physical and mechanical indexes of clay. Rock Soil Mech 24(S10):43–48 (in Chinese) Liu C, Bai SW, Zhao HB (2003) Statistical regularity research of physical and mechanical indexes of clay. Rock Soil Mech 24(S10):43–48 (in Chinese)
Zurück zum Zitat Pang X, Zhou X, Wen Q, Jie Y (2002) Random fields simulation and its application in calculation of reliability of embankment. Journal of Yangtze River Scientific Research Institute 56(4):2250-2255 Pang X, Zhou X, Wen Q, Jie Y (2002) Random fields simulation and its application in calculation of reliability of embankment. Journal of Yangtze River Scientific Research Institute 56(4):2250-2255
Zurück zum Zitat Phoon KK, Quek ST, Chow YK, Lee SL (1990) Reliability analysis of pile settlement. J Geotech Eng 116(11):l717–1734CrossRef Phoon KK, Quek ST, Chow YK, Lee SL (1990) Reliability analysis of pile settlement. J Geotech Eng 116(11):l717–1734CrossRef
Zurück zum Zitat Wang J, Ning K (2000) The reliability research on the working slope of north surface Coal mine of Yima Coal administration. Chin J Geotech Eng 22(1):108–111 (in Chinese) Wang J, Ning K (2000) The reliability research on the working slope of north surface Coal mine of Yima Coal administration. Chin J Geotech Eng 22(1):108–111 (in Chinese)
Zurück zum Zitat Westen CJV, Asch TWJV, Soeters R (2006) Landslide hazard and risk zonation—why is it still so difficult? Bull Eng Geol Environ 65(2):167–184CrossRef Westen CJV, Asch TWJV, Soeters R (2006) Landslide hazard and risk zonation—why is it still so difficult? Bull Eng Geol Environ 65(2):167–184CrossRef
Zurück zum Zitat Wong FS (1985) Slope reliability and response surface method. J Geotech Eng 111(1):32–53CrossRef Wong FS (1985) Slope reliability and response surface method. J Geotech Eng 111(1):32–53CrossRef
Zurück zum Zitat Zhang W, Goh ATC (2012) Reliability assessment on ultimate and serviceability limit states and determination of critical factor of safety for underground rock caverns. Tunneling Undergr Space Technol 32(11):221–230CrossRef Zhang W, Goh ATC (2012) Reliability assessment on ultimate and serviceability limit states and determination of critical factor of safety for underground rock caverns. Tunneling Undergr Space Technol 32(11):221–230CrossRef
Zurück zum Zitat Zhang JF, Wang SY, Qi T (2005) Three-dimensional Spencer method for slope stability analysis. Chin J Rock Mech Eng 24(19):3434–3439 (in Chinese) Zhang JF, Wang SY, Qi T (2005) Three-dimensional Spencer method for slope stability analysis. Chin J Rock Mech Eng 24(19):3434–3439 (in Chinese)
Zurück zum Zitat Zhang XD, Zhang Y, Zhang B, Zhao PT (2013a) Optimization and improvement of Sweden slice method considering the pore water pressure. Chin Q Mech 34(4):643–649 (in Chinese) Zhang XD, Zhang Y, Zhang B, Zhao PT (2013a) Optimization and improvement of Sweden slice method considering the pore water pressure. Chin Q Mech 34(4):643–649 (in Chinese)
Zurück zum Zitat Zhang J, Huang HW, Juang CH, Li DQ (2013b) Extension of Hassan and Wolff method for system reliability analysis of soil slopes. Eng Geol 160(12):81–88CrossRef Zhang J, Huang HW, Juang CH, Li DQ (2013b) Extension of Hassan and Wolff method for system reliability analysis of soil slopes. Eng Geol 160(12):81–88CrossRef
Zurück zum Zitat Zhang X, Zhang Z, Zhang Y, Zhao Z (2014a) Integration form and the general mathematical model of Sweden circle method. Chin J Appl Mech 31(1):162–168 (in Chinese)CrossRef Zhang X, Zhang Z, Zhang Y, Zhao Z (2014a) Integration form and the general mathematical model of Sweden circle method. Chin J Appl Mech 31(1):162–168 (in Chinese)CrossRef
Zurück zum Zitat Zhang J, Huang HW, Juang CH, Su WW (2014b) Geotechnical reliability analysis with limited data: consideration of model selection uncertainty. Eng Geol 181:27–37CrossRef Zhang J, Huang HW, Juang CH, Su WW (2014b) Geotechnical reliability analysis with limited data: consideration of model selection uncertainty. Eng Geol 181:27–37CrossRef
Zurück zum Zitat Zhao H, Ru Z, Chang X, Yin S, Li S (2014) Reliability analysis of tunnel using least square support vector machine. Tunneling Undergr Space Technol 41:14–23CrossRef Zhao H, Ru Z, Chang X, Yin S, Li S (2014) Reliability analysis of tunnel using least square support vector machine. Tunneling Undergr Space Technol 41:14–23CrossRef
Zurück zum Zitat Zhou XP, Cheng H (2013) Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method. Eng Geol 160(12):21–33CrossRef Zhou XP, Cheng H (2013) Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method. Eng Geol 160(12):21–33CrossRef
Zurück zum Zitat 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):197–207CrossRef 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):197–207CrossRef
Metadaten
Titel
A stability analysis of landslides based on random fields - Part I: Toe circle slope
verfasst von
X. P. Zhou
B. Z. Zhu
Louis N. Y. Wong
Publikationsdatum
08.05.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Bulletin of Engineering Geology and the Environment / Ausgabe 1/2019
Print ISSN: 1435-9529
Elektronische ISSN: 1435-9537
DOI
https://doi.org/10.1007/s10064-017-1054-z

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