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Toward Standardizing the Search for Critical Slip Surface in Slope Stability Analysis

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Geotechnics for Sustainable Infrastructure Development

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 62))

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Abstract

Slope failures are among the natural disasters that cause casualties and serious damage worldwide. Limit equilibrium method is often used to calculate the factor of safety of a given slope, where a feasible and practical slip surface is assumed to define the mechanism of failure. Researchers apply different optimization techniques to determine the most unstable slip surface, but the importance of establishing an appropriate standard for the search parameters has been rarely investigated. This paper reviews the most respected research in this field, perceives their assumptions and limitations, and elaborates on the structure and geometry of their search parameters. Built on a comprehensive literature review, a standard guideline is proposed for the search parameters. The required steps to construct different slip surfaces are discussed and a standard reporting format is introduced. The proposed guideline is expected to contribute to improvement of the reliability of the slope stability analyzes and provide a base for fair comparison between the results of different studies.

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References

  • Ahangar-Asr, A., Toufigh, M. M., & Salajegheh, A. (2012). Determination of the most probable slip surface in 3D slopes considering the effect of earthquake force direction. Computers & Geosciences, 45, 119–130.

    Google Scholar 

  • Ahmed, A., Ugai, K., & Yang, Q. Q. (2011). Assessment of 3D slope stability analysis methods based on 3D simplified Janbu and Hovland methods. International Journal of Geomechanics, 12(2), 81–89.

    Google Scholar 

  • Anagnosti, P. (1969). Three-dimensional stability of fill dams. Proceeding of 7th International Conference on Soil Mechanics and Foundation Engineering, Mexico, 275–280.

    Google Scholar 

  • Azzouz, A. and M. Baligh (1978). Three-dimensional Stability of Slopes, Alexandria, VA, USA.

    Google Scholar 

  • Azzouz, A. and M. Baligh (1983). Loaded Areas on Cohesive Slopes. Journal of Geotechal Engineering Division, 109(5), 724–729.

    Google Scholar 

  • Baker, R. and D. Leshchinsky (1987). Stability Analysis of Conical Heaps. Soils and Foundations, 27(4), 99–110.

    Google Scholar 

  • Baligh, M. and A. Azzouz (1975). End Effects on Stability of Cohesive Slopes. Journal of Geotechnical Engineering Division, 101(11), 1105–1117.

    Google Scholar 

  • Bishop, A. W. (1955). The Use of the Slip Circle in the Stability Analysis of Earth Slope. Geotechnique, 5(1), 7–17.

    Google Scholar 

  • Cavounidis, S. (1987). On the Ratio of Factor of Safety in Slope Stability Analyses. Geotechnique, 37(2), 207–210.

    Google Scholar 

  • Cavounidis, S. and H. Kalogeropoulos (1992). End Effects on the Stability of Cuts in Normally Consolidated Clays. Rivista Italiana Gi Geotechnica, 2, 85–93.

    Google Scholar 

  • Chen, R. and J. Chameau (1983). Discussion Threedimensional Limit Equilibrium Analysis of Slopes. Geotechnique, 33(1), 215–216.

    Google Scholar 

  • Chen, Z., Mi, H., Zhang, F. and X. Wang (2003). A Simplified Method for 3D Slope Stability Analysis. Canadian Geotechnical Journal, 40, 675–683.

    Google Scholar 

  • Cheng, Y. M. (2003). Location of critical failure surface and some further studies on slope stability analysis. Computers and Geotechnics, 30: 255–267.

    Google Scholar 

  • Cheng, Y., Liu, H., Wei, W. and S. Au (2005). Location of Critical Three-Dimensional Non-Spherical Failure Surface by NURBS Function and Elliupsoid with Application to Highway Slopes. Computers and Geotechnics, 32, 387–399.

    Google Scholar 

  • Cheng, Y. M., & Yip, C. J. (2007). Three-Dimensional asymmetrical slope stability analysis extension of Bishop’s, Janbu’s, and Morgenstern–Price’s techniques. Journal of geotechnical and geoenvironmental engineering, 133(12), 1544–1555.

    Google Scholar 

  • Dennhardt, M. and W. Forster (1985). Problems of Three-Dimensional Slope Stability. Proceeding of the 11th International Conference in Soil Mechanics and Foundation Engineering, Part 2, San Francisco, 427–431.

    Google Scholar 

  • Dong-ping, D., Liang, L., & Lian-Heng, Z. (2017a). LEM for Stability Analysis of 3D Slopes with General-Shaped Slip Surfaces. International Journal of Geomechanics, 17(10), 06017017.

    Google Scholar 

  • Dong-Ping, D., Liang, L., & Lian-Heng, Z. (2017b). Method of Generation and Model of Calculation of Arbitrary Curved Slip Surfaces for Three-Dimensional Convex and Concave Slopes. International Journal of Geomechanics, 17(11), 04017095.

    Google Scholar 

  • Farzaneh, O., & Askari, F. (2003). Three-dimensional analysis of nonhomogeneous slopes. Journal of Geotechnical and Geoenvironmental Engineering, 129(2), 137–145.

    Google Scholar 

  • Fellenius, W. (1936). Calculation of the Stability of Earth Dams. Proceeding of the Second Congress on Large Dams, Washington, DC, 445–463.

    Google Scholar 

  • Fredlund, D. G. (1984). Analytical Methods for Slope Stability Analysis. Proceeding of the Fourth International Symposium on Landslides, State-of the-Art, Toronto, Canada, 229–250.

    Google Scholar 

  • Gao, Y., Zhu, D., Zhang, F., Lei, G. H., & Qin, H. (2014). Stability analysis of three-dimensional slopes under water drawdown conditions. Canadian Geotechnical Journal, 51(11), 1355–1364. https://doi.org/10.1139/cgj-2013-0448

  • Gens, A., Hutchinson, J., and S. Cavounidis (1988). Three-dimensional Analysis of Slides in Cohesive Soils, Geotechnique, 38(1), 1–23.

    Google Scholar 

  • Hajihassani, M., Armaghani, D. J., & Kalatehjari, R. (2018). Applications of particle swarm optimization in geotechnical engineering: a comprehensive review. Geotechnical and Geological Engineering, 36(2), 705–722.

    Google Scholar 

  • Hovland, H. (1977). Three-dimensional Slope Stability Analysis Method. Journal of Geotechnical Engineering Division, 103(9), 971–986.

    Google Scholar 

  • Huang, C. C. and C. C. Tsai (2000). New Method for 3D and Asymmetrical Slope Stability Analysis. Journal of Geotechnical and Geoenvironmental Engineering, 126(10), 917–927.

    Google Scholar 

  • Huang, C. C. Tsai, C. C., and Y. H. Chen (2002). Generalized Method for Three-Dimensional Slope Stability Analysis. Journal of Geotechnical and Geoenvironmental Engineering, 128(10), 836–848.

    Google Scholar 

  • Hungr, O. (1987). An Extension of Bishop’s Simplified Method of Slope Stability Analysis to Three Dimensions. Geotechnique, 37(1), 113–117.

    Google Scholar 

  • Hungr, O., Salgado, F., and P. Byrne (1989). Evaluation of a three-dimensional method of slope stability analysis. Canadian Geotechnical Journal, 26, 679–686.

    Google Scholar 

  • Janbu, N. (1954). Application of composite Slip Surface for Stability Analysis. Proceeding of the Conference on Stability of Earth Slopes, Part. 3, Stockholm, Sweden, 43–49

    Google Scholar 

  • Janbu, N. (1957). Earth Pressure and Bearing Capacity Calculations by Generalized Procedure of Slices. The Proceeding of the fourth International Conference on Soil Mechanics and Foundation Engineering, London, 207–212.

    Google Scholar 

  • Jiang, J. C. and T. Yamagami (2004). Threedimensional Slope Stability Analysis using an Extended Spencer Method. Journal of the Japanese Geotechnical Society of Soils and Foundations, 44(4), 127–135.

    Google Scholar 

  • Kalatehjari, R., & Ali, N. (2013). A review of threedimensional slope stability analyses based on limit equilibrium method. Electronic Journal of Geotechnical Engineering, 18, 119–134.

    Google Scholar 

  • Kalatehjari, R., Ali, N., Hajihassani, M., & Fard, M. K. (2012). The application of particle swarm optimization in slope stability analysis of homogeneous soil slopes. International Review on Modelling and Simulations, 5(1), 458–465.

    Google Scholar 

  • Kalatehjari, R., Ali, N., Kholghifard, M., & Hajihassani, M. (2014). The effects of method of generating circular slip surfaces on determining the critical slip surface by particle swarm optimization. Arabian Journal of Geosciences, 7(4), 1529–1539.

    Google Scholar 

  • Kalatehjari, R., Arefnia, A., A Rashid, A. S., Ali, N., & Hajihassani, M. (2015). Determination of threedimensional shape of failure in soil slopes. Canadian Geotechnical Journal, 52(9), 1283–1301.

    Google Scholar 

  • Kalatehjari, R., Rashid, A. S. A., Hajihassani, M., Kholghifard, M., & Ali, N. (2014). Determining the unique direction of sliding in three-dimensional slope stability analysis. Engineering Geology, 182, 97–108.

    Google Scholar 

  • Lam, L. and D. Fredlund (1993). A General Limit Equilibrium Model for Three-Dimensional Slope Stability Analysis. Canadian Geotechnical Journal, 30, 905–919.

    Google Scholar 

  • Leshchinsky, D., Baker, R. and M. Silver (1985). Three-Dimensional Analysis of Slope Stability. International Journal for Numerical and Analytical Methods in Geomechanics, 9, 199–223.

    Google Scholar 

  • Leshchinsky, D. and R. Baker (1986). Threedimensional Slope Stability: End Effects. Soils and Foundations, 26(4), 98–110.

    Google Scholar 

  • Leshchinsky, D. and C. C. Huang (1992). Generalized Slope Stability Analysis: Interpretation, Modification, and Comparison. Journal of Geotechnical Engineering, 118(10), 1559–1576.

    Google Scholar 

  • Leshchinsky, D. and T. Mullett (1988a). Design Charts for Vertical Cuts. Journal of Geotechnical and Geoenvironmental Engineering, 114(3), 337–344.

    Google Scholar 

  • Leshchinsky, D. and T. Mullett (1988b). Stability of Vertical Corner Cuts. Proceeding of the Sixth International Conference on Numerical Methods in Geomechanics, Innsbruck, Austria: AA Balkema, 1249–1256.

    Google Scholar 

  • Michalowski, R. L., & drescher, A. (2009). Threedimensional stability of slopes and excavations. Geotechnique, 59(10), 839–850.

    Google Scholar 

  • Morgenstern, N. and V. Price (1965). The Analysis of the Stability of General Slip Surfaces. Geotechnique, 15(1), 79–93.

    Google Scholar 

  • Mowen, X., Zengfu, W., Xiangyu, L., and X. Bo (2011). Three-Dimensional Critical Slip Surface Locating and Slope Stability Assessment for Lava Lobe of Unzen Volcano. Journal of Rock Mechanics and Geotechnical Engineering, 3(1), 82–89.

    Google Scholar 

  • Mowen, X. J. E. (2004). A Simple Monte Carlo Method for Locating the Three-dimensional Critical Slip Surface of a Slope. Acta Geologica Sinica – English Edition, 78(6), 1258–1266.

    Google Scholar 

  • Pantelidis, L., & Griffiths, D. V. (2013). Stability of earth slopes. Part II: three-dimensional analysis in closed-form. International Journal for Numerical and Analytical Methods in Geomechanics, 37(13), 1987–2004.

    Google Scholar 

  • Rhinoceros. (2018). What are NURBS? Retrieved from Rhinoceros https://www.rhino3d.com, accessed on January 20, 2018.

  • Spencer, E. (1967). A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces. Geotechnique, 17(1), 11–26.

    Google Scholar 

  • Sun, G., Zheng, H., and Jiang, W. (2012). A global Procedure for Evaluating Stability of Three-Dimensional Slopes. Natural Hazards, 61(3): 1083–1098.

    Google Scholar 

  • Sun, C., Chai, J., Xu, Z., & Qin, Y. (2016). 3D stability charts for convex and concave slopes in plan view with homogeneous soil based on the strengthreduction method. International Journal of Geomechanics, 17(5), 06016034.

    Google Scholar 

  • Thompson, R. (1993). The Location of Critical Slip Surface in Slope-Stability Problems. Journal of South African Institute of Mine and Metallurgy, 93(4): 85–95.

    Google Scholar 

  • Ugai, K. (1985). Three-Dimensional Stability Analysis of Vertical Cohesive Slopes. Soils and Foundations, 25(3): 41–48.

    Google Scholar 

  • Ugai, K. (1988). Three-dimensional Slope Stability Analysis by Slice Methods. Proceeding of the International Conference on Numerical Methods in Geomechanics. Innsbruck, Austria, 1369–1374.

    Google Scholar 

  • Xie, M., Esaki, T., & Cai, M. (2004). A GIS-based method for locating the critical 3D slip surface in a slope. Computers and Geotechnics, 31(4), 267–277.

    Google Scholar 

  • Xie, M., Esaki, T., & Cai, M. (2006). GIS-based implementation of three-dimensional limit equilibrium approach of slope stability. Journal of geotechnical and geoenvironmental engineering, 132(5), 656–660.

    Google Scholar 

  • Xie, M., Wang, Z., Liu, X., & Xu, B. (2011). Threedimensional critical slip surface locating and slope stability assessment for lava lobe of Unzen volcano. Journal of Rock Mechanics and Geotechnical Engineering, 3(1), 82–89.

    Google Scholar 

  • Xing, Z. (1988a). Three-Dimensional Stability Analysis of Concave Slopes in Plan View. Journal of Geotechnical Engineering, 114(6), 658–671.

    Google Scholar 

  • Xing, Z. (1988b). Closure: Three-Dimensional Stability Analysis of Concave Slopes in Plan View. Journal of Geotechnical Engineering, 116(2), 345–346.

    Google Scholar 

  • Yamagami, T. and J. C. Jiang (1996). Determination of the sliding direction in three-dimensional slope stability analysis. Proceedings of the 2nd International Conference on Soft Soil Engineering, Part 1, Nanjing: Hohai University Press, 567–572.

    Google Scholar 

  • Yamagami, T. and J. C. Jiang (1997). A Search for the Critical Slip Surface in Three-dimensional Slope Stability analysis. Soils and Foundations, 37(3), 1–16.

    Google Scholar 

  • Zhang, Y., Chen, G., Zheng, L., Li, Y., & Zhuang, X. (2013). Effects of geometries on three-dimensional slope stability. Canadian Geotechnical Journal, 50(3), 233–249.

    Google Scholar 

  • Zhou, X. P., & Cheng, H. (2013). Analysis of stability of three-dimensional slopes using the rigorous limit equilibrium method. Engineering Geology, 160, 21–33.

    Google Scholar 

  • Zheng, H. (2009). Eigen value Problem from the Stability Analysis of Slopes. Journal of Geotechnical and Geoenvironmental Engineering, 135(5), 647–656.

    Google Scholar 

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Authors and Affiliations

  1. Auckland University of Technology, Auckland, New Zealand

    Roohollah Kalatehjari

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  1. Roohollah Kalatehjari
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Correspondence to Roohollah Kalatehjari .

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Editors and Affiliations

  1. President of Vietnamese Society for Soil Mechanics & Geotechnical Engineering (VSSMGE), Hanoi, Vietnam

    Phung Duc Long

  2. Master program in Infrastructure Engineering (MIE), VNU Vietnam-Japan University, Hanoi, Vietnam

    Nguyen Tien Dung

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Kalatehjari, R. (2020). Toward Standardizing the Search for Critical Slip Surface in Slope Stability Analysis. In: Duc Long, P., Dung, N. (eds) Geotechnics for Sustainable Infrastructure Development. Lecture Notes in Civil Engineering, vol 62. Springer, Singapore. https://doi.org/10.1007/978-981-15-2184-3_102

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  • DOI: https://doi.org/10.1007/978-981-15-2184-3_102

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