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Volume 33 Issue 5
Oct 2022
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Aijun Su, Mingquan Feng, Shan Dong, Zongxing Zou, Jinge Wang. Improved Statically Solvable Slice Method for Slope Stability Analysis. Journal of Earth Science, 2022, 33(5): 1190-1203. doi: 10.1007/s12583-022-1631-3
Citation: Aijun Su, Mingquan Feng, Shan Dong, Zongxing Zou, Jinge Wang. Improved Statically Solvable Slice Method for Slope Stability Analysis. Journal of Earth Science, 2022, 33(5): 1190-1203. doi: 10.1007/s12583-022-1631-3

Improved Statically Solvable Slice Method for Slope Stability Analysis

doi: 10.1007/s12583-022-1631-3
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  • Corresponding author: Aijun Su, aijunsu@cug.edu.cn
  • Received Date: 18 Nov 2021
  • Accepted Date: 29 Jan 2022
  • Available Online: 19 Oct 2022
  • Issue Publish Date: 30 Oct 2022
  • Although slice methods are simple and effective slope stability analysis approaches, they are statically indeterminate. Several modifications of the slice method, such as the Spencer, Morgenstern-Price, and Chen-Morgenstern methods, are statically determinate and solvable as they assume the inter-slice force inclination angle; however, there is a small gap between the assumptions and actual landslide stability analysis. Through reasonable theoretical analysis, the Su slice method provides a reliable approach for determining the inter-slice force inclination angle that can be used in slice analysis to accurately analyse, calculate, and evaluate the stability of landslides. However, the Su slice method requires further research and analysis, especially in terms of the parameter values $ \sin {{\lambda }}_{{b}{i}} $ and $ {\rho } $. In this study, we investigated more accurate methods for calculating the parameters $ \sin {{\lambda }}_{{b}{i}} $ and $ {\rho } $. In addition, an adjustment coefficient ($ {\mu } $) was introduced to improve the solution method for the inter-slice force inclination angle. The inter-slice force inclination and safety factors of three landslides with arc-shaped slip surfaces and one landslide with a polyline-shaped slip surface were analysed and compared using the different slice methods. The improved inter-slice force inclination not only satisfies the calculation of static force equilibrium condition but also satisfies the calculation of both the force and moment equilibrium conditions. The improved method for calculating inter-slice force inclination presented the best correlation. The safety factors calculated using the improved Su slice method were close to those obtained using numerical simulations and the Morgenstern-Price method. Despite negligible differences among the safety factors calculated using the Su slice, improved Su slice, and M-P methods, the accuracy of the improved Su slice method was better than the M-P method in terms of inter-slice force inclination angles which can be useful to improve protection engineering design.

     

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  • Bishop, A. W., 1955. The Use of the Slip Circle in the Stability Analysis of Slopes. Géotechnique, 5(1): 7–17. https://doi.org/10.1680/geot.1955.5.1.7
    Chen, Z. Y., Morgenstern, N. R., 1983. Extensions to the Generalized Method of Slices for Stability Analysis. Canadian Geotechnical Journal, 20(1): 104–119. https://doi.org/10.1139/t83-010
    Cheng, Y. M., Lansivaara, T., Wei, W. B., 2007. Two-Dimensional Slope Stability Analysis by Limit Equilibrium and Strength Reduction Methods. Computers and Geotechnics, 34(3): 137–150. https://doi.org/10.1016/j.compgeo.2006.10.011
    Cheng, Y. M., Lau, C., 2019. Slope Stability Analysis and Stabilization: New Methods and Insight. CRC Press, New York
    Ching, R. K. H., Fredlund, D. G., 1983. Some Difficulties Associated with the Limit Equilibrium Method of Slices. Canadian Geotechnical Journal, 20(4): 661–672. https://doi.org/10.1139/t83-074.
    Duncan, J. M., 1996. State of the Art: Limit Equilibrium and Finite-Element Analysis of Slopes. Journal of Geotechnical Engineering, 122(7): 577–596. https://doi.org/10.1061/(asce)0733-9410(1996)122:7(577)
    Duncan, J. M., Wright, S. G., 1980. The Accuracy of Equilibrium Methods of Slope Stability Analysis. Engineering Geology, 16(1/2): 5–17. https://doi.org/10.1016/0013-7952(80)90003-4
    Fellenius, W., 1927. Calculation of Stability of Slopes, Ernst und Sohn, Berlin
    Fredlund, D. G., Fredlund, M. D., 2019. Developments in Landslide Analysis. IOS Press, Clifton. https://doi.org/10.1007/978-981-15-2184-3_101
    Fredlund, D. G., Krahn, J., 1977. Comparison of Slope Stability Methods of Analysis. Canadian Geotechnical Journal, 14(3): 429–439. https://doi.org/10.1139/t77-045
    Itasca, 2017. Itasca Consulting Group, Inc. FLAC3D (Fast Lagrangian Analysis of Continua in 3D Imensions), Version 6.0
    Janbu, N., 1973. Slope Stability Computations. John Wiley and Sons, Hoboken
    Karl, T., 1943. Liner-Plate Tunnels on the Chicago (Ⅱ) Subway. Transactions of the American Society of Civil Engineers, 108(1): 970–1007. https://doi.org/10.1061/taceat.0005664
    Morgenstern, N. R., Price, V. E., 1965. The Analysis of the Stability of General Slip Surfaces. Géotechnique, 15(1): 79–93. https://doi.org/10.1680/geot.1965.15.1.79
    Petterson, K. E., 1955. The Early History of Circular Sliding Surfaces. Géotechnique, 5(4): 275–296. https://doi.org/10.1680/geot.1955.5.4.275
    Spencer, E., 1967. A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces. Géotechnique, 17(1): 11–26. https://doi.org/10.1680/geot.1967.17.1.11
    Su, A. J., Zou, Z. X., Lu, Z. C., et al., 2018. The Inclination of the Interslice Resultant Force in the Limit Equilibrium Slope Stability Analysis. Engineering Geology, 240: 140–148. https://doi.org/10.1016/j.enggeo.201 8.04.016 doi: 10.1016/j.enggeo.2018.04.016
    Taylor, D. W., 1948. Fundamentals of Soil Mechanics. Soil Science, 66(2): 161. https://doi.org/10.1097/00010694-194808000-00008
    Terzaghi, K., 1943. Theoretical Soil Mechanics. John Wiley & Sons, New York
    Ugai, K., Leshchinsky, D., 1995. Three-Dimensional Limit Equilibrium and Finite Element Analyses: A Comparison of Results. Soils and Foundations, 35(4): 1–7. https://doi.org/10.3208/sandf.35.41
    Xu, Z., Su, A., 2019. Influence of the Bar Number in the Slice Method on the Calculation Results of Landslide Stability. Safety and Environmental Engineering, 26(1): 133–140. https://doi.org/10.13578/j.cnki.issn.1671-1556.2019.01.021
    Zhu, D. Y., Lee, C. F., Jiang, H. D., 2003. Generalised Framework of Limit Equilibrium Methods for Slope Stability Analysis. Géotechnique, 53(4): 377–395. https://doi.org/10.1680/geot.53.4.377.37322
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