Continuous slip surface method for stability analysis of heterogeneous vertical trenches

Document Type : Article

Authors

1 Department of Civil Engineering, Faculty of Engineering, University of Guilan, P.O. 3756, Rasht, Guilan, Iran

2 Department of Civil Engineering, Faculty of Engineering, University of Guilan, P.O. 3756, Rasht, Guilan, Iran.

Abstract

Evaluating the reliability of trenches against sliding failure is complicated by the fact that most alluvial deposits are heterogeneous and spatially variable. This means that instead of perfectly circular or linear failure surfaces, trench failure tends to be more complex, following the weakest path or zones through the material, thereby, a new method named Continuous Slip-Surface (CSS) is adopted for calculating the critical excavation depth. CSS runs an algorithm to seek for continuous slip surface. The Finite Difference Method (FDM) coupled with random field theory and CSS method is well suited to slope stability calculations since it allows the failure surface to seek out the weakest path through the soil. For an unsupported vertical cut, it was shown that the critical excavation depth acquired from CSSM is indeed an upper bound solution. It was further shown both numerically and analytically through an idealized variation model that increasing the un-drained shear strength density fades the effect of shear strength variability. Correlation structure of the input variable was also shown to influence the results, although the behaviour was found different in low and high scales of fluctuation.

Keywords

Main Subjects

References

Refrences:
1. Chen, W.F., Limit Analysis and Soil Plasticity, Elsevier Scienti_c Publication (1975). 
2. Zienkiewicz, O.C., Humpheson, C., and Lewis, R.W. Associated and non-associated visco-plasticity and plasticity in soil mechanics", G_eotechnique, 25, pp. 671{689 (1975). 
3. Naylor, D. Finite elements and slope stability", In Numerical Methods in Geomechanics: Proceedings of the NATO Advanced Study Institute, University of Minho, Braga, Portugal, held at Vimeiro, Aug. 24{ Sept. 4, 92, pp. 229{244 (1982). 
4. Matsui, T. and San, K. Finite element slope stability analysis by shear strength reduction technique", Soils and Foundations, 32(1), pp. 59{70 (1992). 
5. Ugai, K. and Leshchinsky, D. Three-dimensional limit equilibrium and _nite element analyses: A comparison of results", Soils and Foundations, 35, pp. 1{7 (1995). 
6. Lane, P. and Gri_ths, D. Finite element slope stability analysis-Why are engineers still drawing circles", In Proceeding of 6th International Symposium on Numerical Models in Geomechanics, Balkema Publishers, Rotterdam, The Netherlands, pp. 589{593 (1997). 
7. Dawson, E., Roth, W., and Drescher, A. Slope stability analysis by strength reduction", G_eotechnique, 49(6), pp. 835{840 (1999). 
8. Rachez, X., Billaux, D., and Hart, R. Slope stability analysis with an integrated shear strength reduction algorithm", In Proceeding of 5th European Conference on Numerical Methods in Geotechnical Engineering, pp. 731{736 (2002). 
9. Ca la, M., Flisiakm J., and Tajdu_s, A. Slope stability analysis with modified shear strength reduction technique", In the 9th International Symposium on Landslides: Evaluation and Stabilization, pp. 1085{ 1089 (2004). 
10. Drucker, D.C. and Prager, W. Soil mechanics and plastic analysis or limit design", Quarterly of Applied Mathematics, 10(2), pp. 157{165 (1952). 
11. Davis, E., Theories of Plasticity and the Failure of Soil Masses, Butterworth, London (1968). 
12. Booker, J.R. Application of theories of plasticity to cohesive frictional soils", Ph.D. Thesis, University of Sydney (1969). 
13. Atkinson, J.H., Foundations and Slopes: An Introduction to Applications of Critical State Soil Mechanics, McGraw-Hill, London (1981). 
14. Michalowski, R.L. Limit analysis in stability calculations of reinforced soil structures", Geotextiles and Geomembranes, 16(6), pp. 311{331 (1998). 
15. Song, E.X. Finite element analysis of safety factor for soil structures", Chinese Journal of Geotechnical Engineering, 19(2), pp. 1{7 (1997). 
16. Lian, Z., Han, G., and Kong, X. Stability analysis of excavation by strength reduction FEM", Chinese Journal of Geotechnical Engineering, 23(4), pp. 407{ 411 (2001). 
17. Eberhardt, E. The role of advanced numerical methods and geotechnical _eld measurements in understanding complex deep-seated rock slope failure mechanisms", Canadian Geotechnical Journal, 45(4), pp. 484{510 (2008). 
18. Sai, R., Shukla, S.K., Prasad, G., Vishnoi, R., and Routela, T. Integrated approach for stabilization of varunavat parvat landslide - case study", International Conference on Case Histories in Geotechnical Engineering (2008). 
19. Zheng, Y., Tang, X., Zhao, S., Deng, C., and Lei, W. Strength reduction and step-loading _nite element approaches in geotechnical engineering", Journal of Rock Mechanics and Geotechnical Engineering, 1(1), pp. 21{30 (2009). 
20. Huang, M. and Cang, Q.J. Strength reduction FEM in stability analysis of soil slopes subjected to transient unsaturated seepage", Computers and Geotechnics, 36(1), pp. 93{101 (2009). R. Jamshidi Chenari et al./Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 2657{2668 2667 
21. Wei, W. and Cheng, Y. Soil nailed slope by strength reduction and limit equilibrium methods", Computers and Geotechnics, 37(5), pp. 602{618 (2010). 
22. Eser, M., Aydemir, C., and Ekiz, I. Effects of soil structure interaction on strength reduction factors", Procedia Engineering, 14, pp. 1696{1704 (2011). 
23. FLAC 5.0 Reference Manual, Minneapolis, Itasca Consulting Inc (2007). 
24. Bowles, L.E., Foundation Analysis and Design, McGraw-Hill (1996). 
25. Chen, W.F. and Liew, J.R., The Civil Engineering Handbook, 2th Editions, Crc Press (2002).
26. Jamshidi Chenari, R. and Zamanzadeh, M. Uncertainty assessment of critical excavation depth of vertical unsupported cuts in undrained clay using random field theorem", Scientia Iranica, 23(3), pp. 864{875 (2016). 
27. Lacasse, S. and Nadim, F. Uncertainties in characterising soil properties", In Uncertainty in the Geologic Environment from Theory to Practice, ASCE Conference, pp. 49{75 (1997). 
28. Garz_on, L.X., Caicedo, B., S_anchez-Silva, M., and Phoon, K.K. Physical modelling of soil uncertainty", International Journal of Physical Modelling in Geotechnics, 15(1), pp. 19{34 (2015). 
29. Vanmarcke, E.H. Probabilistic modeling of soil profiles", Journal of the Geotechnical Engineering Division, 103(11), pp. 1227{1246 (1977). 
30. Phoon, K.K. and Kulhawy, F.H. Characterization of geotechnical variability", Canadian Geotechnical Journal, 36(4), pp. 612{624 (1999). 
31. Babu, G.S. and Mukesh, M. E_ect of soil variability on reliability of soil slopes", G_eotechnique, 54(5), pp. 335{337 (2004). 
32. Cho, S.E. Effect of spatial variability of soil properties on slope stability", Engineering Geology, 92, pp. 97{ 109 (2007). 
33. Haldar, S. and Babu, G.S. Effect of soil spatial variability on the response of laterally loaded pile in undrained clay", Computers and Geotechnics, 35(4), pp. 537{547 (2008). 
34. Griffiths, D., Huang, J., and Fenton, G.A. Influence of spatial variability on slope reliability using 2-D random fields", Journal of Geotechnical and Geoenvironmental Engineering, 135(10), pp. 1367{1378 (2009). 
35. Cho, S.E. Probabilistic assessment of slope stability that considers the spatial variability of soil properties", Journal of Geotechnical and Geoenvironmental Engineering, 136(7), pp. 975{984 (2009). 
36. Kasama, K. and Zen, K. Effects of spatial variability of soil property on slope stability", First International Symposium on Uncertainty Modeling and Analysis and Management (ICVRAM 2011); and Fifth International Symposium on Uncertainty Modeling and Anaylsis (ISUMA), April 11{13, Hyattsville, Maryland, United States (2011). 
37. Jamshidi Chenari, R., Zhalehjoo, N., and Karimian, A. Estimation on bearing capacity of shallow foundations in heterogeneous deposits using analytical and numerical methods", Scientia Iranica, 21(3), pp. 505{ 515 (2014). 
38. Jiang, S.H., Li, D.Q., Zhang, L.M., and Zhou, C.B. Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic _nite element method", Engineering geology, 168, pp. 120{128 (2014). 39. Eslami Kenarsari, E., Jamshidi Chenari, R., and Eslami, A. Characterization of the correlation structure of residual CPT profiles in sand deposits", International Journal of Civil Engineering, 11(1), pp. 29{37 (2013). 
40. Lee, I.K., White, W., and Ingles, O.G., Geotechnical Engineering, Pitmans Books Limited (1983). 
41. Harr, M.E., Reliability Based Design in Civil Engineering, McGraw Hill, New York (1987). 42. Seyedein, M.S., Jamshidi Chenari, R., and Eslami, A., Investigation on probability density function for cone penetration test data", In Proceeding of International Conference on Geomechanics and Engineering, pp. 26{ 29 (2012). 
43. Duncan, J.M. Factors of safety and reliability in geotechnical engineering", Journal of Geotechnical and Geoenvironmental Engineering, 126(4), pp. 307{316 (2000). 
44. Fenton, G.A. and Gri_ths, D. Statistics of block conductivity through a simple bounded stochastic medium", Water Resources Research, 29(6), pp. 1825{ 1830 (1993). 
45. El-Kadi, A.I. and Williams, S.A. Generating twodimensional fields of auto-correlated, normally distributed parameters by the matrix decomposition technique", Ground Water, 38(4), pp. 530{532 (2000).
Scientia Iranica
Volume 27, Issue 6 - Serial Number 6
Transactions on Civil Engineering (A)
November and December 2020
Pages 2657-2668

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History

  • Receive Date: 05 July 2016
  • Revise Date: 21 May 2018
  • Accept Date: 17 December 2018

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