Skip to main content
SpringerLink
Log in

Search for circular and noncircular critical slip surfaces in slope stability analysis by hybrid genetic algorithm

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

A local improvement procedure based on tabu search (TS) was incorporated into a basic genetic algorithm (GA) and a global optimal algorithm, i.e., hybrid genetic algorithm (HGA) approach was used to search the circular and noncircular slip surfaces associated with their minimum safety factors. The slope safety factors of circular and noncircular critical slip surfaces were calculated by the simplified Bishop method and an improved Morgenstern-Price method which can be conveniently programmed, respectively. Comparisons with other methods were made which indicate the high efficiency and accuracy of the HGA approach. The HGA approach was used to calculate one case example and the results demonstrated its applicability to practical engineering.

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

Access this article

Log in via an institution

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

  1. BAKER R. Determination of the critical slip surface in slope stability computations [J]. Int J Numer Analyt Meth Geomech, 1980, 4: 333–359.

    Article  MATH  Google Scholar 

  2. BOLTON H P J, HEYMANN G, GROENWOLD A. Global search for critical failure surface in slope stability analysis [J]. Eng Optimiz, 2003, 35(1): 51–65.

    Article  Google Scholar 

  3. GRECO V R. Efficient Monte Carlo technique for locating critical slip surface [J]. J Geotech Eng, 1996, 122(7): 517–525.

    Article  Google Scholar 

  4. MALKAWI A I H, HASSAN W F, SARMA S K. Global search method for locating general slip surface using Monte Carlo techniques [J]. J Geotech Geoenviron Eng, 2001, 127(8): 688–698.

    Article  Google Scholar 

  5. ZOLFAGHARI A R, HEATH A C, MCCOMBIE P F. Simple genetic algorithm search for critical noncircular failure surface in slope stability analysis [J]. Comput Geotech, 2005, 32(3): 139–152.

    Article  Google Scholar 

  6. CHENG Y M, LANSIVAARA T, WEI W B. Two-dimensional slope stability analysis by limit equilibrium and strength reduction methods [J]. Comput Geotech, 2007, 34(3): 137–150.

    Article  Google Scholar 

  7. TSAI Y W, GEMMILL D D. Using tabu search to schedule activities of stochastic resource-constrained projects [J]. European Journal of Operational Research, 1998, 111(1): 129–141.

    Article  MATH  Google Scholar 

  8. CHENG Y M, LIANG L, CHI S C, WEI W B. Determination of the critical slip surface using artificial fish swarms algorithm [J]. J Geotech Geoenviron Eng, 2008, 134(2): 244–251.

    Article  Google Scholar 

  9. GOLDBERG D E. Genetic algorithms in search, optimization, and in machine learning [M]. Addison Wiley Longman, Inc, Boston, 1989: 21–25.

    Google Scholar 

  10. LIAW C F. A hybrid genetic algorithm for the open shop scheduling problem [J]. European Journal of Operational Research, 2000, 124(1): 28–42.

    Article  MATH  MathSciNet  Google Scholar 

  11. MILLER J A, POTTER W D, GANDHAM R V, LAPENA C N. An evaluation of local improvement operators for genetic algorithms [J]. IEEE Transactions on Systems, Man, and Cybernetics. 1993, 23(5): 1340–1351.

    Article  Google Scholar 

  12. BISHOP A W. The use of the slip circle in the stability analysis of slopes [J]. Geotechnique, 1955, 5(1): 7–17.

    Article  Google Scholar 

  13. BLANCO A, DELGADO M, PEGALAJAR M C. A real-coded genetic algorithm for training recurrent neural networks [J]. Neural Networks, 2001, 14(1): 93–105.

    Article  MathSciNet  Google Scholar 

  14. SRINIVASULU S, JAIN A. A comparative analysis of training methods for artificial neural network rainfall-runoff models [J]. Applied Soft Computing, 2006, 6(3): 293–306.

    Article  Google Scholar 

  15. SEDKI A, OUAZAR D, MAZOUDI E E. Evolving neural network using real coded genetic algorithm for daily rainfall-runoff forecasting [J]. Expert Systems with Applications, 2009, 36(3): 4523–4527.

    Article  Google Scholar 

  16. MICHALEWICZ Z. Genetic algorithms + data structures = evolution programs [M]. New York: Springer, 1992: 88–89.

    Book  Google Scholar 

  17. ZHANG Hong-bin, SUN Guang-yu. Feature selection using tabu search method [J]. Pattern Recognition, 2002, 35(3): 701–711.

    Article  MATH  Google Scholar 

  18. HUSEIN MALKAWI A, HASSAN W F, SARMA S K. An efficient search method for finding the critical circular slip surface using the Monte Carlo technique [J]. Canada Geotechnical Journal, 2001, 38(5): 1081–1089.

    Article  Google Scholar 

  19. DONALD I B, GIAM P S K. Soil slope stability programs review [M]. Melbourne, Australia, ACADS Publication, 1989: 123–126.

    Google Scholar 

  20. ZHU Da-yong. A method for locating critical slip surfaces in slope stability analysis [J]. Can Geotech J, 2001, 38(2): 328–337.

    Article  Google Scholar 

  21. SPENCER E. A method of analysis of the stability of embankments assuming parallel interslice forces [J]. Geotechnique, 1967, 17(1): 11–26.

    Article  Google Scholar 

  22. CHEN Zu-yu. The theory, method and program of stability analysis for soil slopes [M]. Beijing: China Water Power Press, 2003: 88–104. (in Chinese)

    Google Scholar 

  23. SIVANDRAN. Application of probability theory of the finite element method in predicting settlements in soft Bankok clay [C]// Proceedings of 3rd Int. Conf on Numerical Methods in Geomechanics. Aachen, Germany, 1979: 1025–1032.

    Google Scholar 

  24. ZOU Jin-zhang, WILLIAMS D J, XIONG Wen-lin. Search for critical slip surfaces based on finite element method [J]. Can Geotech J, 1995, 32(2): 233–246.

    Article  Google Scholar 

  25. BJERRUM L. Embankments on soft ground [C]// In: Proc ASCE Speciality Conf on Performance of Earth and Earth-Supports Structures. Purdue University, West Lafsyette, Ind. 1972: 1–54.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Architectural Civil Engineering and Environment, Ningbo University, Ningbo, 315211, China

    Jian-feng Zhu  (朱剑锋)

  2. Institute of Geotechnical Engineering, Hunan University, Changsha, 410082, China

    Chang-fu Chen  (陈昌富)

Authors
  1. Jian-feng Zhu  (朱剑锋)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chang-fu Chen  (陈昌富)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chang-fu Chen  (陈昌富).

Additional information

Foundation item: Project(50878082) supported by the National Natural Science Foundation of China; Project(2012C21058) supported by the Public Welfare Technology Application Research of Zhejiang Province, China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhu, Jf., Chen, Cf. Search for circular and noncircular critical slip surfaces in slope stability analysis by hybrid genetic algorithm. J. Cent. South Univ. 21, 387–397 (2014). https://doi.org/10.1007/s11771-014-1952-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-014-1952-1

Key words

Search

Navigation