Journal of the Korean Geotechnical Society (한국지반공학회논문집)

Korean Geotechnical Society (한국지반공학회)
권호 표지
DOI QR코드

DOI QR Code

Reliability Analysis of Slopes Using ANN-based Limit-state Function

인공신경망 기반의 한계상태함수를 이용한 사면의 신뢰성해석

  • Published : 2007.08.31
Download PDF
⟨ Previous Next ⟩

Abstract

Slope stability analysis is a geotechnical engineering problem characterized by many sources of uncertainty. Some of them are connected to the uncertainties of soil properties involved in the analysis. In this paper, a numerical procedure for integrating commercial finite difference method into probabilistic analysis of slope stability is presented. Since the limit-state function cannot be expressed in an explicit form, the ANN-based response surface method is adopted to approximate the limit-state function and the first-, second-order reliability method and the Monte Carlo simulation technique are used to calculate the probability of failure. Probabilistic stability assessments for a hypothetical two-layer slope and the Sugar Creek embankment were performed to verify the application potential to the slope stability problems. The examples show the successful implementation and the possibility of the extension of the proposed procedure to the variety of geotechnical engineering problems.

사면안정해석은 지반물성의 불확실성을 포함한 많은 불확실한 요인을 내포하는 지반공학적 문제이다. 본 연구에서는 상업용 유한차분해석 프로그램을 이용하여 확률론적 사면안정해석을 수행할 수 있는 절차를 제시하였다. 이 경우 한계상태함수가 명시적인 형태로 표현되지 않기 때문에 한계상태함수를 근사화하기 위하여 인공신경망기법을 활용한 응답면기법을 이용하였으며 파괴확률을 구하기 위해 일차 및 이차신뢰도법과 Monte Carlo simulation을 이용하였다. 제안된 절차의 적용성을 검토하기 위하여 2층 지반의 사면과 Sugar Creek제방사면에 대한 확률론적 사면안정해석을 수행하였다. 해석결과는 제안된 절차의 적정성과 다른 다양한 지반공학 문제로의 확장 적용의 가능성을 보여준다.

Keywords

References

  1. 김형배, 이승호 (2002), '실용적인 확률론적 사면안정 해석 기법 개발', 한국지반공학회논문집, 제18권, 5호, pp.271-280
  2. 장연수, 오승현, 김종수 (2002), '암반사면의 평면파괴에 대한 신뢰성해석', 한국지반공학회논문집, 제18권, 4호, pp.119-126
  3. 허정원, 곽기석 (2006), '축하중 단말뚝구조물의 RSM기반 확률 론적 신뢰성해석', 한국지반공학회논문집, 제22권, 6호, pp.51-61
  4. Bhattacharya, G., Jana, D., Ojha, S., and Chakraborty, S. (2003), 'Direct Search for Minimum Reliability Index of Earth Slopes', Computers and Geotechnics, Vol.30, pp.455-462 https://doi.org/10.1016/S0266-352X(03)00059-4
  5. Cheng, Y. M., Lansivaara, L., and Wei, W. B. (2006), 'Two-dimensional Slope Stability Analysis by Limit Equilibrium and Strength Reduction Methods', Computers Geotechnics, doi: 10.10166/ j.compgeo.2006.10.011 (in press)
  6. Crum, D. A. (2001), 'Discussion of Search Algorithm for Minimum Reliability Index Earth Slopes', J. Geotech. Geoenviron. Eng., Vol.127, No.2, pp.194-195
  7. Dawson, E. M., Roth, W. H., and Drescher, A. (1999), 'Slope Stability Analysis by Strength Reduction', Geotechnique, Vol.49, No.6, pp.835-840 https://doi.org/10.1680/geot.1999.49.6.835
  8. Deng, J., Gu, D, Li, X, and Vue, Z. (2005), 'Structural Reliability Analysis for Implicit Performance Functions Using Artificial Neural Network', Structural Safety, Vol.27, pp.25-48 https://doi.org/10.1016/j.strusafe.2004.03.004
  9. Deng, J., Yue, Z. Q., Tham, L. G., and Zhu, H. H. (2003), 'Pillar Design by Combining Finite Element Methods, Neural Networks and Reliability: a Case Study of the Feng Huangshan Copper Mine', China, International Journal of Rock Mechanics & Mining Sciences, Vol.40, pp.585-599 https://doi.org/10.1016/S1365-1609(03)00042-X
  10. Der Kiureghian, A. and Lin, H. Z. Hwang, S. J. (1987), 'Second Order Reliability Approximations', Journal of Engineering Mechanics, ASCE, Vol.113, No.8, pp.1208-1225 https://doi.org/10.1061/(ASCE)0733-9399(1987)113:8(1208)
  11. Der Kiureghian, A. and Liu, P. L. (1986), 'Structural Reliability under Incomplete Probability Information', J. Eng. Mech., ASCE, Vol.112, pp.85-104 https://doi.org/10.1061/(ASCE)0733-9399(1986)112:1(85)
  12. EI-Ramly, H., Morgenstern, N. R., and Cruden, D. M. (2002), 'Probabilistic Slope Stability Analysis for Practice', Canadian Geotechnical Journal, Vol.39, pp.665-683 https://doi.org/10.1139/t02-034
  13. Ghaboussi, J., Garrett, Jr. J.H., and Wu, X. (1991), 'Knowledgebased Modeling of Material Behavior with Neural Networks', Journal of Engineering Mechanics, ASCE, Vol.117, No.1, pp. 132-153 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:1(132)
  14. Goh, A. T. C. (1994), 'Seismic Liquefaction Potential Assessed by Neural Networks', Journal of Geotechnical Engineering, ASCE, Vol.120, No.9, pp.1467-1480 https://doi.org/10.1061/(ASCE)0733-9410(1994)120:9(1467)
  15. Goh, A. T. C. (1995), 'Empirical Design in Geotechnics Using Neural Networks', Geotechnique, Vol.45, No.4, pp.709-714 https://doi.org/10.1680/geot.1995.45.4.709
  16. Goh, A. T. C. and Kulhawy, F. H. (2005), 'Reliability Assessment of Serviceability Performance of Braced Retaining Walls Using a Neural Network Approach', Int. J. Numer. Anal. Meth. Geomech., Vol.29, pp.627-642 https://doi.org/10.1002/nag.432
  17. Gomes, H. M. and Awruch, A.M. (2004), 'Comparison of Response Surface and Neural Network with Other Methods for Structural Reliability Analysis', Structural Safety, Vol.26, pp.49-67 https://doi.org/10.1016/S0167-4730(03)00022-5
  18. Griffiths, D. V. and Fenton G. A (2004), 'Probabilistic Slope Stability Analysis by Finite Elements', Journal of Geotechnical and Geoenvironmental Engineering, Vol.130, No.5, pp.507-518 https://doi.org/10.1061/(ASCE)1090-0241(2004)130:5(507)
  19. Griffiths, D. V. and Lane, P. A. (1999), 'Slope Stability Analysis by Finite Elements', Geotechnique, Vol.49, No.3, pp.387-403 https://doi.org/10.1680/geot.1999.49.3.387
  20. Haldar, A. and Mahadevan, S. (2000), Probability, Reliability and Statistical Methods in Engineering Design, Wiley, New York
  21. Hassan, A. M. and Wolff, T. F. (1999), 'Search Algorithm for Minimum Reliability Index of Earth Slopes', Journal of Geotechnical and Geoenvironmental Engineering, Vol.125, pp.301-308 https://doi.org/10.1061/(ASCE)1090-0241(1999)125:4(301)
  22. Haukaas, T. and Der Kiuregian, A. (2001), 'A Computer Program for Nonlinear Finite Element Analysis', Proceedings of the Eighth International Conference on Structural Safety and Reliability, Newport Beach, CA
  23. Hornik, K., Stinchcornbe, M., and White, H. (1989), 'Multi-layer feed-forward networks are universal approxirnators', Neural Networks, Vol.2, pp.359-368 https://doi.org/10.1016/0893-6080(89)90020-8
  24. Hurtado, J. E. and Alvarez, D. A. (2001), 'Neural Network-based Reliability Analysis: a Comparative Study', Computer Methods in Applied Mechanics and Engineering, Vol.191, pp.113-132 https://doi.org/10.1016/S0045-7825(01)00248-1
  25. Juang, C. H., Chen, C. J., and Tien, Y. M. (1999), 'Appraising CPT-based Liquefaction Resistance Evaluation Methods-Artificial Neural Network Approach', Canadian Geotechnical Journal, Vol.36, No.3, pp.443-454 https://doi.org/10.1139/cgj-36-3-443
  26. Li, K. S. and Lumb, P. (1987), 'Probabilistic Design of Slopes', Canadian Geotechnical Journal, Vol.24, pp.520-535 https://doi.org/10.1139/t87-068
  27. Low, B. K. (2003), 'Practical Probabilistic Slope Stability Analysis', 12th Panamerican Conference on Soil Mechanics and Geotechnical Engineering and 39th Us. Rock Mechanics Symposium, MIT, Cambridge, Massachusetts, Vol.2, pp.2777-2784
  28. Madsen, H. O., Krenk, S., and Lind, N. C. (1986), Methods of Structural Safety, Englewood Cliffs, NJ, Prentice-Hall
  29. Papadrakis, M., Papadopoulos, V., and Lagaros, N. (1996), 'Structural Reliability Analysis of Elastic-plastic Structures Using Neural Networks and Monte Carlo Simulation', Computer Methods in Applied Mechanics and Engineering, Vol.136, pp.145-163 https://doi.org/10.1016/0045-7825(96)01011-0
  30. Stein, M. L. (1987), 'Large Sample Properties of Simulations Using Latin Hypercube Sampling', Technometrics, Vol.29, pp.143-151 https://doi.org/10.2307/1269769
  31. Ugai, K. and Leshchinsky, D. (1995), 'Three-dimensional Limit Equilibrium and Finite Element Analysis: a Comparison of Results', Soils and Foundation, Vol.35, No.4, pp1-7
  32. White, D. J., Schaefer, V. R., Yang, H., and Thompson, M. J. (2005), 'Innovative Solutions for Slope Stability Reinforcement and Characterization', Vol.I, Final report CTRE Project 03-127, Center for Transportation Research and Education Iowa State University
  33. Xu, B. and Low, B. K. (2006), 'Probabilistic Stability Analyses of Embankments Based on Finite-Element Method', Journal of Geotechnical and Geoenvironmental Engineering, ASCE, Vol.132, No.11, pp.1444-1454 https://doi.org/10.1061/(ASCE)1090-0241(2006)132:11(1444)
  34. Zienkiewicz, O. C., Humpheson, C., and Lewis, R. W. (1975), 'Associated and Nonassociated Visco-plasticity and Plasticity in Soil Mechanics', Geotechnique, Vol.25, No.4, pp.671-689 https://doi.org/10.1680/geot.1975.25.4.671