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A BBO-based algorithm for slope stability analysis by locating critical failure surface

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Abstract

Determination of the critical failure surface is performed in stability evaluation process for road cut slope, embankments, dam, excavations, retaining walls and many more. Finding the critical failure surface in a rock or soil slope is very cumbersome and becomes a difficult constrained global optimization problem. Due to existence of discontinuous function and strong multiple local minima points, researchers are facing difficulties to employ trial-and-error methods in a large search space. Thus, classical optimization techniques fail to converge to a valid solution. In this study a stochastic method called biogeography-based optimization algorithm was adopted for analyzing the factor of safety. Based on the finding from the implementation and quantitative evaluation, it was found that the proposed method for locating critical failure surface in homogeneous soil slope acquires more efficient results over other implemented methods such as grid search and genetic algorithm. The validation and effectiveness of the proposed method are investigated by solving two benchmark case studies from the literature, while the simulation design for slip surfaces is carried out using ‘Rocscience slide’ software tool for comparing the results.

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References

  1. Vageesha S, Mathada G, Venkatachalam G, Srividya A (2007) Slope stability assessment-a comparison of probabilistic, possibilistic and hybrid approaches. Int J Perform Eng 3(2):231–242

    Google Scholar 

  2. Dodagoudar GR, Venkatachalam G (2000) Reliability analysis of slopes using fuzzy sets theory. Comput Geotech 27(2):101–115

    Article  Google Scholar 

  3. Rubio E, Hall JW (2004) Uncertainty analysis in a slope hydrology and stability model using probabilistic and imprecise information. Comput Geotech 31(7):529–536

    Article  Google Scholar 

  4. Zhang Z, Liu Z, Zheng L, Zhang Y (2014) Development of an adaptive relevance vector machine approach for slope stability inference. Neural Comput Appl 25(7–8):2025–2035

    Article  Google Scholar 

  5. Aryal KP (2006) Slope stability evaluations by limit equilibrium and finite element methods. Ph.D. thesis, Norwegian University of Science and Technology

  6. Fellenius W (1936) Calculation of the stability of earth dams. In: Transactions of the 2nd congress on large dams, Washington, DC, vol 4, pp 445–463. International Commission on Large Dams (ICOLD), Paris

  7. Bishop AW (1955) The use of the slip circle in the stability analysis of slopes. Geotechnique 5(1):7–17

    Article  Google Scholar 

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

    Article  Google Scholar 

  9. Spencer E (1967) A method of analysis of the stability of embankments assuming parallel inter-slice forces. Geotechnique 17(1):11–26

    Article  Google Scholar 

  10. Janbu N (1975) Slope stability computations: In: Hirschfeld RC, Poulos SJ (eds) Embankment-dam engineering. Wiley, New York, 1973. Int J Rock Mech Min Sci Geomech Abstr 12: 67 (Pergamon)

  11. Abramson LW (2002) Slope stability and stabilization methods. Wiley, New York

    Google Scholar 

  12. Ching RKH, Fredlund DG (1983) Some difficulties associated with the limit equilibrium method of slices. Canad Geotech J 20(4):661–672

    Article  Google Scholar 

  13. Baker R, Garber M (1978) Theoretical analysis of the stability of slopes. Geotechnique 28(4):395–411

    Article  Google Scholar 

  14. Greco VR (1996) Efficient monte carlo technique for locating critical slip surface. J Geotech Eng 122(7):517–525

    Article  Google Scholar 

  15. Yamagami T, Ueta Y (1986) Noncircular slip surface analysis of the stability of slopes. Landslides 22(4):8–16

    Article  Google Scholar 

  16. Kaswan A, Singh V, Jana PK (2018) A novel multi-objective particle swarm optimization based energy efficient path design for mobile sink in wireless sensor networks. Pervasive Mobile Comput. https://doi.org/10.1016/j.pmcj.2018.02.003

    Article  Google Scholar 

  17. Kaswan A, Tomar A, Jana PK (2018) A GSA-based scheduling scheme for mobile charger in on-demand wireless rechargeable sensor networks. J Network Comp Appl. https://doi.org/10.1016/j.jnca.2018.02.017

    Article  Google Scholar 

  18. Singh J, Verma AK, Banka H et al (2016) A study of soft computing models for prediction of longitudinal wave velocity. Arab J Geosci 9:224

    Article  Google Scholar 

  19. Das SK, Tripathi S (2017) Adaptive and intelligent energy efficient routing for transparent heterogeneous ad-hoc network by fusion of game theory and linear programming. Appl Intell. https://doi.org/10.1007/s10489-017-1061-6

    Article  Google Scholar 

  20. Chen Z, Morgenstern NR (1983) Extensions to the generalized method of slices for stability analysis. Canad Geotech J 20(1):104–119

    Article  Google Scholar 

  21. McCombie P, Wilkinson P (2002) The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis. Comput Geotech 29(8):699–714

    Article  Google Scholar 

  22. Sarat Kumar Das (2005) Slope stability analysis using genetic algorithm. Electron J Geotech Eng 10:429–439

    Google Scholar 

  23. Zolfaghari AR, Heath AC, McCombie PF (2005) Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis. Comput Geotech 32(3):139–152

    Article  Google Scholar 

  24. Sun J, Li J, Liu Q (2008) Search for critical slip surface in slope stability analysis by spline-based ga method. J Geotech Geoenviron Eng 134(2):252–256

    Article  Google Scholar 

  25. Sengupta A, Upadhyay A (2009) Locating the critical failure surface in a slope stability analysis by genetic algorithm. Appl Soft Comp 9(1):387–392

    Article  Google Scholar 

  26. Kahatadeniya KS, Nanakorn P, Neaupane KM (2009) Determination of the critical failure surface for slope stability analysis using ant colony optimization. Eng Geol 108(1):133–141

    Article  Google Scholar 

  27. Ahangar-Asr A, Faramarzi A, Javadi AA (2010) A new approach for prediction of the stability of soil and rock slopes. Eng Comput 27(7):878–893

    Article  MATH  Google Scholar 

  28. Khajehzadeh M, Taha MR, El-Shafie A, Mohammad K (2011) Search for critical failure surface in slope stability analysis by gravitational search algorithm. Int J Phys Sci 6(21):5012–5021

    Google Scholar 

  29. Khajehzadeh M, Taha MR, El-Shafie A, Eslami M (2012) A modified gravitational search algorithm for slope stability analysis. Eng Appl Artif Intell 25(8):1589–1597

    Article  Google Scholar 

  30. Kashani AR, Gandomi AH, Mousavi M (2016) Imperialistic competitive algorithm: a metaheuristic algorithm for locating the critical slip surface in 2-dimensional soil slopes. Geosci Front 7(1):83–89

  31. Fredlund DG, Krahn J (1977) Comparison of slope stability methods of analysis. Canad Geotech J 14(3):429–439

    Article  Google Scholar 

  32. Cheng YM, Lau CK (2014) Slope stability analysis and stabilization: new methods and insight. CRC Press, Boca Raton

    Book  Google Scholar 

  33. Huang YH (2014) Slope stability analysis by the limit equilibrium method: fundamentals and methods. American Society of Civil Engineers, Reston

    Book  Google Scholar 

  34. Krahn J (2003) The 2001 rm hardy lecture: the limits of limit equilibrium analyses. Canad Geotech J 40(3):643–660

    Article  Google Scholar 

  35. Wu A (2012) Locating general failure surfaces in slope analysis via cuckoo search. https://www.rocscience.com/help/slide/webhelp7/pdf_files/theory/. Accessed 27 Jan 2017

  36. Cheng YM, Li L, Chi SC (2007) Performance studies on six heuristic global optimization methods in the location of critical slip surface. Comput Geotech 34(6):462–484

    Article  Google Scholar 

  37. Chen Z-Y, Shao C-M (1988) Evaluation of minimum factor of safety in slope stability analysis. Canad Geotech J 25(4):735–748

    Article  Google Scholar 

  38. Nguyen VU (1985) Determination of critical slope failure surfaces. J Geotech Eng 111(2):238–250

    Article  Google Scholar 

  39. Cheng YM (2003) Location of critical failure surface and some further studies on slope stability analysis. Comput Geotech 30(3):255–267

    Article  Google Scholar 

  40. Abdallah I, Husein Malkawi AI, Hassan WF, Sarma SK (2001) Global search method for locating general slip surface using monte carlo techniques. J Geotech Geoenviron Eng 127(8):688–698

    Article  Google Scholar 

  41. Jade S, Shanker KD (1995) Modelling of slope failure using a global optimization technique. Eng Optim+ A35 23(4):255–266

    Article  Google Scholar 

  42. Simon D (2008) Biogeography-based optimization. IEEE Trans Evol Comput 12(6):702–713

    Article  Google Scholar 

  43. Yang G, Zhang Y, Yang J, Ji G, Dong Z, Wang S, Feng C, Wang Q (2016) Automated classification of brain images using wavelet-energy and biogeography-based optimization. Multimed Tools Appl 75(23):15601–15617

    Article  Google Scholar 

  44. Wang S, Zhang Y, Ji G, Yang J, Jianguo W, Wei L (2015) Fruit classification by wavelet-entropy and feedforward neural network trained by fitness-scaled chaotic abc and biogeography-based optimization. Entropy 17(8):5711–5728

    Article  Google Scholar 

  45. Yadav RK, Banka H (2016) Ibbomsa: an improved biogeography-based approach for multiple sequence alignment. Evol Bioinform 12:237

    Article  Google Scholar 

  46. Song Y, Liu M, Wang Z (2010) Biogeography-based optimization for the traveling salesman problems. In: 2010 Third international joint conference on computational science and optimization (CSO), vol 1, pp 295–299. IEEE

  47. MacArthur R, Wilson E (1967) The theory of biogeography. Princeton University Press, Princeton

    Google Scholar 

  48. Guo W, Chen M, Wang L, Mao Y, Wu Q (2017) A survey of biogeography-based optimization. Neural Comput Appl 28(8):1909–1926

    Article  Google Scholar 

  49. Das SK, Tripathi S (2017) Energy efficient routing formation technique for hybrid ad hoc network using fusion of artificial intelligence techniques. Int J Commun Syst 30(16)1–16. https://doi.org/10.1002/dac.3340

    Article  Google Scholar 

  50. Lalwani P, Banka H, Kumar C (2016) BERA: a biogeography-based energy saving routing architecture for wireless sensor networks. Soft Comput 22(5):1651–1667

  51. Slide search methods (2016) https://www.rocscience.com/help/slide/webhelp7/pdf_files/developer_tips/Slide_Search_Methods.pdf/. Accessed 19 July 2017

  52. Kostic S, Vasovic N, Sunaric D (2015) A new approach to grid search method in slope stability analysis using box-behnken statistical design. Appl Math Comput 256:425–437

    MathSciNet  MATH  Google Scholar 

  53. Solati S, Habibagahi G (2006) A genetic approach for determining the generalized interslice forces and the critical non-circular slip surface. Iran J Sci Technol Trans B Eng 30(1):1–20

    Google Scholar 

  54. Baker R (1980) Determination of the critical slip surface in slope stability computations. Int J Numer Anal Methods Geomech 4(4):333–359

    Article  MATH  Google Scholar 

  55. Rocscience slide. https://www.rocscience.com/rocscience/products/slide. Accessed 10 Dec 2016

Download references

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Correspondence to Jayraj Singh.

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Singh, J., Banka, H. & Verma, A.K. A BBO-based algorithm for slope stability analysis by locating critical failure surface. Neural Comput & Applic 31, 6401–6418 (2019). https://doi.org/10.1007/s00521-018-3418-0

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  • DOI: https://doi.org/10.1007/s00521-018-3418-0

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