Probabilistic slope stability analysis for practice

Canadian Geotechnical Journal - Tập 39 Số 3 - Trang 665-683 - 2002
H El-Ramly, N. R. Morgenstern, D. M. Crudën

Tóm tắt

The impact of uncertainty on the reliability of slope design and performance assessment is often significant. Conventional slope practice based on the factor of safety cannot explicitly address uncertainty, thus compromising the adequacy of projections. Probabilistic techniques are rational means to quantify and incorporate uncertainty into slope analysis and design. A spreadsheet approach for probabilistic slope stability analysis is developed. The methodology is based on Monte Carlo simulation using the familiar and readily available software, Microsoft® Excel 97 and @Risk. The analysis accounts for the spatial variability of the input variables, the statistical uncertainty due to limited data, and biases in the empirical factors and correlations used. The approach is simple and can be applied in practice with little effort beyond that needed in a conventional analysis. The methodology is illustrated by a probabilistic slope analysis of the dykes of the James Bay hydroelectric project. The results are compared with those obtained using the first-order second-moment method, and the practical insights gained through the analysis are highlighted. The deficiencies of a simpler probabilistic analysis are illustrated. Key words: probabilistic analysis, slope stability, Monte Carlo simulation, spatial variability.

Từ khóa


Tài liệu tham khảo

Alonso E.E., 1976, Géotechnique, 26, 453, 10.1680/geot.1976.26.3.453

Bergado D.T., 1994, Structural Safety, 13, 247, 10.1016/0167-4730(94)90032-9

Bishop A.W., 1955, Géotechnique, 5, 7, 10.1680/geot.1955.5.1.7

Christian J.T., 1996, Geotechnical Special Publication, 58, 409

Christian J.T., 1994, Journal of Geotechnical Engineering, ASCE, 120, 1071, 10.1061/(ASCE)0733-9410(1994)120:12(2180)

DeGroot D.J., 1996, Geotechnical Special Publication, 58, 210

DeGroot D.J., 1993, Journal of Geotechnical Engineering, ASCE, 119, 147, 10.1061/(ASCE)0733-9410(1993)119:1(147)

Duncan J.M., 2000, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 126, 307, 10.1061/(ASCE)1090-0241(2000)126:4(307)

Hassan A., 1999, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 125, 301, 10.1061/(ASCE)1090-0241(1999)125:4(301)

Honjo Y., 1991, Soils and Foundations, 31, 110, 10.3208/sandf1972.31.110

Jaksa M.B., 1997, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 123, 393, 10.1061/(ASCE)1090-0241(1997)123:5(393)

Kulhawy F.H., 1996, Geotechnical Special Publication, 58, 269

Kulhawy F.H., 1991, Mexico City, 2, 705

Lacasse S., 1996, Geotechnical Special Publication, 58, 49

Li K.S., 1991, Journal of Geotechnical Engineering, ASCE, 117, 1457, 10.1061/(ASCE)0733-9410(1991)117:9(1457)

Lumb P., 1966, Canadian Geotechnical Journal, 3, 74, 10.1139/t66-009

Matsuo M., 1974, Soils and Foundations, 14, 1, 10.3208/sandf1972.14.2_1

Nguyen V.U., 1984, Mining Science and Geomechanics, 21, 303

Nguyen V.U., 1985, Géotechnique, 35, 47, 10.1680/geot.1985.35.1.47

Priest D.S., 1983, Transactions of the Institute of Mining and Metallurgy, 92, A1

Soulié M., 1990, Canadian Geotechnical Journal, 27, 617, 10.1139/t90-076

Tang W.H., 1976, Canadian Geotechnical Journal, 13, 201, 10.1139/t76-024

Tobutt D.C., 1982, Computers and Geosciences, 8, 199, 10.1016/0098-3004(82)90021-8

Vanmarcke E.H., 1977, Journal of the Geotechnical Engineering Division, ASCE, 103, 1227, 10.1061/AJGEB6.0000517

Vanmarcke E.H., 1977, Journal of the Geotechnical Engineering Division, ASCE, 103, 1247, 10.1061/AJGEB6.0000518

Vanmarcke E.H., 1980, Engineering Geology, 16, 29, 10.1016/0013-7952(80)90005-8

Whitman V.W., 1984, Journal of Geotechnical Engineering, ASCE, 110, 145, 10.1061/(ASCE)0733-9410(1984)110:2(143)

Wolff T.F., 1996, Geotechnical Special Publication, 58, 419

Yucemen M.S., 1990, Structural Safety, 9, 1, 10.1016/0167-4730(90)90017-J