Skip to main content
Log in

Three-dimensional stability of landslides based on local safety factor

  • Published:
Journal of Mountain Science Aims and scope Submit manuscript

Abstract

Unlike the limit equilibrium method (LEM), with which only the global safety factor of the landslide can be calculated, a local safety factor (LSF) method is proposed to evaluate the stability of different sections of a landslide in this paper. Based on three-dimensional (3D) numerical simulation results, the local safety factor is defined as the ratio of the shear strength of the soil at an element on the slip zone to the shear stress parallel to the sliding direction at that element. The global safety factor of the landslide is defined as the weighted average of all local safety factors based on the area of the slip surface. Some example analyses show that the results computed by the LSF method agree well with those calculated by the General Limit Equilibrium (GLE) method in two-dimensional (2D) models and the distribution of the LSF in the 3D slip zone is consistent with that indicated by the observed deformation pattern of an actual landslide in China.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Alemdag S, Akgun A, Kaya A, et al. (2014) A large and rapid planar failure: causes, mechanism, and consequences (Mordut, Gumushane, Turkey). Arabian Journal of Geosciences 7: 1205–21. DOI: 10.1007/s12517-012-0821-1

    Article  Google Scholar 

  • Alemdag S, Ayberk K, Mustafa K, et al. (2015) Utilization of the limit equilibrium and finite element methods for the stability analysis of the slope debris: An example of the Kalebasi District (NE Turkey). Journal of African Earth Sciences 106: 134–146. DOI: 10.1016/j.jafrearsci.2015.03.010

    Article  Google Scholar 

  • Anagnosti P (1969) Three-dimensional stability of fill dams. In: Proceedings 7th international conference on soil mechanics and Foundation Engineering, Mexico City, 1969, vol. 2, pp 275–280.

    Google Scholar 

  • Baker R (1980) Determination of the critical slip surface in slope stability computations. International Journal for Numerical and Analytical Methods in Geomechanics 4(4): 333–359.

    Article  Google Scholar 

  • Baligh MM, Azzouz AS (1982) End effects on stability of cohesive slopes. Journal of Geotechnical Engineering Division (ASCE) 101(11): 1105–1117.

    Google Scholar 

  • Chen RH, Chameau JL (1982) Three-dimensional limit equilibrium analysis of slopes. Geotechnique 33(1): 31–40.

    Article  Google Scholar 

  • Duncan JM (1996) Limit equilibrium and finite element analysis of slopes. Journal of geotechnical engineering 17(122): 577–596. DOI: 10.1061/(ASCE)0733-9410(1996)122: 7(577)

    Article  Google Scholar 

  • Fairhurst C (1964) On the validity of the brazilian test for brittle materials. International Journal of Rock Mechanics and Mining Science 1(1): 535–546.

    Article  Google Scholar 

  • FLAC-3D (2005) User’s Guide: fast Lagrangian analysis of continua in 3 dimensions-version 3.0. Itasca Consulting Group Inc, Minnesota, USA.

    Google Scholar 

  • Hoek E, Bray J (1981) Rock slope engineering. Institute of Mineral and Metallurgy, London, UK.

    Google Scholar 

  • Huang CC, Tsai CC, Chen YH (2002) Generalized method for three-dimensional slope stability analysis. Journal of Geotechnical and Geoenvironmental Engineering 128(10): 836–848. DOI: 10.1061/(ASCE)1090-0241(2002)128:10(836)

    Article  Google Scholar 

  • Hutchinson JN (1982) Methods of locating slip surface in landslides. British Geomorphological Research Group, London, UK.

    Google Scholar 

  • Jaeger C (1965) The Vajont rock slide. Water Power 4(17): 142–144.

    Google Scholar 

  • Jaiswal P, Cees JW, Victor J (2011) Quantitative assessment of landslide hazard along transportation lines using historical records. Landslides 8: 279–91. DOI: 10.1007/s10346-011-0252-1

    Article  Google Scholar 

  • Kahatadeniya KS, Pruettha N, Krishna MN (2009) Determination of the critical failure surface for slope stability analysis using ant colony optimization. Engineering Geology 108: 133–41. DOI: 10.1016/j.enggeo.2009.06.010

    Article  Google Scholar 

  • Krahn J (2003) The limits of limit equilibrium analyses. Canadian geotechnical journal 40: 643–660. DOI: 10.1139/T03-024

    Article  Google Scholar 

  • Kaya A, Alemdag S, Dag S et al. (2016) Stability assessment of high-steep cut slope debris on a landslide (Gumushane, NE Turkey). Bulletin of Engineering Geology and the Environment 75: 89–99. DOI: 10.1007/s10064-015-0753-6

    Article  Google Scholar 

  • Leshchinsky D, Huang CC (1992) Generalized three-dimensional slope-stability analysis. Journal of Geotechnical Engineering (ASCE) 118(11): 1748–1764.

    Article  Google Scholar 

  • Mankelow JM, Murphy W (1998) Using GIS in the probabilistic assessment of earthquake triggered landslide hazards. Journal of Earthquake Engineering 2(4): 593–623.

    Google Scholar 

  • Colomer MFJ, Gisbert AF, Izquierdo AG, et al. (2009) Safety factor nomograms for homogeneous earth dams less than ten meters high. Engineering Geology 105: 231–38. DOI: 10.1016/j.enggeo.2009.01.001

    Article  Google Scholar 

  • Morgenstern NR, Price VE (1965) The analysis of the stability of general slip surfaces. Geotechnique 1(15): 79–93.

    Article  Google Scholar 

  • Morgenstern NR, Price VE (1967) A numerical method for solving the equations of stability of general slip surfaces. The Computer Journal 9: 388–93.

    Article  Google Scholar 

  • Nguyen V (1985) Determination of critical slope failure surfaces. Journal of Geotechnical Engineering 111(2): 238–250.

    Article  Google Scholar 

  • Okubo S, Fukui K, Nishimatsu Y (1997) Local safety factor applicable to wide range of failure criteria. Rock Mechanics and Rock Engineering 30(4): 223–227. DOI: 10.1007/BF01045718

    Article  Google Scholar 

  • Ono K (1962) On the load of materials. Transactions of Society of Materials Engineering 16(29): 37–48.

    Google Scholar 

  • Ozbay A, Cabalar AF (2015) FEM and LEM stability analyses of the fatal landslides at Collolar open-cast lignite mine in Elbistan, Turkey. Landslides 12: 155–163. DOI: 10.1007/s10346-014-0537-2

    Article  Google Scholar 

  • Irons BM (1971) Quadrature rules for brick based finite elements. International Journal for numerical methods in Engineering, 3: 293–294.

    Article  Google Scholar 

  • Srbulov M (1987) Limit equilibrium method with local factors of safety for slope stability. Canadian Geotechnical Journal 24(4): 652–656.

    Article  Google Scholar 

  • Van Westen CJ (1994) GIS in landslide hazard zonation: a review, with examples from the Andes of Colombia. In: Price MF, Heywood DI (Eds.), Mountain Environments & Geographic Information Systems, Chapter: GIS in Landslide Hazard Zonation: A Review, with Examples from the Andes of Colombia. Publisher: Taylor and Francis, pp.135-166.

    Google Scholar 

  • Wang LT, Zhou WH (1982) Stability analysis of rockmass at the Arc Dam Abutment. Guizhou People Press, Guiyang, China.

    Google Scholar 

  • Werner ED, Friedman HP (2009) Landslides: Causes, Types and Effects. Nova Science Publishers, New York, USA.

    Google Scholar 

  • Xu JC (2011) Debris slope stability analysis using three-dimensional finite element method based on maximum shear stress theory. Environmental Earth Sciences 64: 2215–22. DOI: 10.1007/s12665-011-1049-1

    Article  Google Scholar 

  • Yao BK, Sun YK, Liu ZH (1984) Stability analysis of slip mass in slopes under the geotechnical stress. Metal mine 4: 16–20.

    Google Scholar 

  • Zheng H (2012) A three-dimensional rigorous method for stability analysis of landslides. Engineering Geology 145-146: 30–40. DOI: 10.1016/j.enggeo.2012.06.010

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bing Yang.

Additional information

http://orcid.org/0000-0001-5072-7089

http://orcid.org/0000-0003-1011-0409

http://orcid.org/0000-0002-4098-1419

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, T., Yeung, Mc.R., Yang, B. et al. Three-dimensional stability of landslides based on local safety factor. J. Mt. Sci. 13, 1515–1526 (2016). https://doi.org/10.1007/s11629-016-3918-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11629-016-3918-2

Keywords

Navigation