DOI QR코드

DOI QR Code

신뢰성지수를 이용한 연직배수공법의 확률론적 해석

Probabilistic Analysis of Vertical Drains using Hasofer-Lind Reliability Index

  • 김성필 (한국농어촌공사 농어촌연구원) ;
  • 허준 (한국농어촌공사 농어촌연구원) ;
  • 봉태호 (서울대학교 생태조경.지역시스템공학부 대학원)
  • 투고 : 2011.08.02
  • 심사 : 2011.10.05
  • 발행 : 2011.11.30

초록

The conventional factor of safety as used in geotechnical engineering does not reflect the degree of uncertainty of the relevant parameters. Then in the geotechnical engineering, there have been efforts to reflect the uncertainties of the geotechnical properties through probabilistic analysis. In this study, a practical method for probabilistic analysis using the Hasofer-Lind reliability index is introduced. The method is based on the perspective of an ellipsoid that just touches the failure surface in the original space of the variables. The method is applied to prefabricated vertical drains (PVD) and compared with the result of Monte Carlo Simulation method.

키워드

참고문헌

  1. Barron, R. A., 1948. Consolidation of Fine-grained Soils by Drain wells. Transactions of the ASCE, 113(2346): 718-742.
  2. Chalermyanont, T., and Benson, C. H., 2004. Reliabilitybased design for internal stability of mechanically stabilized earth walls. Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 130(2): 163-173. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:2(163)
  3. Christian, J. T., Ladd, C. C., and Baecher, G. B., 1994. Reliability applied to slope stability analysis. Journal of Geotechnical Engineering, ASCE, 120(12): 2180-2207. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:12(2180)
  4. Christian, J. T., 2004. Geotechnical engineering reliability: How well do we know what we are doing? Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 130(10): 985-1003. https://doi.org/10.1061/(ASCE)1090-0241(2004)130:10(985)
  5. Ditlevsen, O., 1981. Uncertainty Modeling : with applications to multidimensional civil engineering systems. McGraw-Hill, New York.
  6. Duncan, J. M., 2000. Factors of Safety and Reliability in Geotechnical Engineering. Journal of Geotechnical an Geoenvironmental Engineering, ASCE, 126(4): 307-316. https://doi.org/10.1061/(ASCE)1090-0241(2000)126:4(307)
  7. Hansbo, S., 1979. Consolidation of Clay by Band-Shaped Prefabricated Drains. Ground Engineering, 12(5): 16-25.
  8. Hansbo, S., 1981. Consolidation of Fine-Grained Soils by Prefabricated Drains. 10th ICSMFE 3: 677-682.
  9. Hasofer, A. M., and Lind, N., 1974. An Exact and Invariant First-order Reliability Format. Journal of Engineering Mechanics, ASCE, 100(1): 111-121.
  10. Jo, R. C., and Doh, D. H., 1996. The Reliability Analysis for Homogeneous Slope Stability using Stochastic Finite Element Method. Journal of the Korean Society of Agricultural Engineers, 38(5): 125-139 (in Korean).
  11. Kim, S. P., Son, Y. H,. and Chang, P. W., 2007. Minimum Expected Cost Based Design of Vertical Drain Systems. Journal of the Korean Society of Agricultural Engineers, 49(6): 93-101 (in Korean). https://doi.org/10.5389/KSAE.2007.49.6.093
  12. Lacasse, S., and Nadim, F., 1996. Uncertainties in characteristic soil properties. Proceedings of Uncertainty '96, Geotechnical Special Publication No. 58, ASCE, 1: 49-75.
  13. Low, B. K., 1996. Practical probabilistic approach using spreadsheet. ASCE Geotechnical Special Publication No. 58, Proc., Uncertainty in the Geologic Environment, 12: 1284-1302.
  14. Phoon, K. K., and Kulhawy, F. H., 1996. Practical reliability-based design approach for foundation engineering. Transportation Research Record, 1546: 94-99. https://doi.org/10.3141/1546-11
  15. Phoon, K. K., and Kulhawy, F. H., 1999a. Characterization of geotechnical variability. Canadian Geotechnical Journal, 36(4): 612-624. https://doi.org/10.1139/t99-038
  16. Phoon, K. K., and Kulhawy, F. H., 1999b. Evaluation of geotechnical property variability. Canadian Geotechnical Journal, 36(4): 625-639. https://doi.org/10.1139/t99-039
  17. Phoon, K. K., Quek, S. T., Chow, Y. K., and Lee, S. L., 1990. Reliability analysis of pile settlement. Journal of Geotechnical Engineering, ASCE, 116(11): 1717-1735. https://doi.org/10.1061/(ASCE)0733-9410(1990)116:11(1717)
  18. Sivakugan, N., and Johnson, K., 2004. Settlement predictions in granular soils: a probabilistic approach. Geotechnique, 54(7): 499-502. https://doi.org/10.1680/geot.2004.54.7.499
  19. Vanmarcke, E. H., 1977. Probabilistic modeling of soil profiles. Journal of the Geotechnical Engineering Division, ASCE, 103 (11): 1227-1246.