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Probability Analysis of Rock Slope Stability using Zoning and Discontinuity Persistence as Parameters  

Jang, Bo-An (Department of Geophysics, Kangwon National University)
Sung, Suk-Kyung (Department of Geophysics, Kangwon National University)
Jang, Hyun-Sic (Department of Geophysics, Kangwon National University)
Publication Information
The Journal of Engineering Geology / v.20, no.2, 2010 , pp. 155-167 More about this Journal
Abstract
In analysis of slope stability, deterministic analysis which yields a factor of safety has been used until recently. However, probability of failure is considered as a more efficient method because it deals with the uncertainty and variability of rock mass. In both methods, a factor of safety or a probability of failure is calculated for a slope although characteristics of rock mass, such as characteristics of joints, weathering degree of rock and so on, are not uniform throughout the slope. In this paper, we divided a model slope into several zones depending on conditions of rock mass and joints, and probabilities of failure in each zone are calculated and compared with that calculated in whole slope. The persistence of joint was also used as a parameter in calculation of probability of failure. A rock slope located in Hongcheon, Gangwondo was selected and the probability of failure using zoning and persistence as parameter was calculated to confirm the applicability of model analysis.
Keywords
model slope; slope stability; zoning; persistence; probability of failure;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Tobutt, D. C., 1982, Monte Carlo simulation for slope stability, Comp. Geosci., 8, 199-209.   DOI   ScienceOn
2 Cruden, D. M., 1977, Describing the size of discontinuities, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 14, 133-137.   DOI   ScienceOn
3 Feng, P. and Lajtai, E. Z., 1998, Probabilistic treatment of the sliding wedge with EZSlide, Eng. Geol., 50, 153-163.   DOI   ScienceOn
4 Goodman, R. E., 1970, The deformability of joints, in determination of the in-situ modulus of deformation of rock, Amer. Soc. Testing and Mat. Special Tech. Pub., 477, 174-196.
5 Hoek, E., 2000, Rock engineering; Course notes by E. Hoek [Online], Available: http://www.rocscience.com/hoek/PracticalRockEngineering.asp.
6 Hoek, E. and Bray, J., 1981, Rock slope engineering, Inst. Min. Metal., London, 358p.
7 Hudson, J. A. and Priest, S. D., 1979, Discontinuities and rock mass geometry, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 16, 339-362.   DOI   ScienceOn
8 Kim, H. and Major, G., 1978, Application of Monte Carlo techniques to slope stability analysis, Proc. 19th U. S. Symp. Rock Mech., Reno, Nevada, 28-39.
9 Kulatilake, P. H. S. W., Finley, R. E., and Ghosh, A., 1985, Effect of variability of joint orientation and strength on factor of safety of wedge stability, Proc. Int. Symp. Fund. Rock Joints, Bjorkliden, Lapland, Sweden, 25-34.
10 Kulatilake, P. H. S. W. and Wu, T. H., 1984, Estimation of mean trace length of discontinuities, Rock Mech. Rock Eng., 17, 215-232.   DOI   ScienceOn
11 배규진, 박혁진, 2002, 불연속면의 확률특성을 고려한 암반사면의 평면파괴확률 산정, 한국지반공학회지, 18, 97-105.   과학기술학회마을
12 Pathak, S. and Nilen, B., 2004, Probabilistic rock slope stability analysis for Himalayan condition, Bull. Eng. Geol. Env., 63, 25-32.   DOI   ScienceOn
13 Patton, F. D., 1966, Multiple modes of shear failure in rock, Proc. 1st Int. Congr. of Rock Mech., Lisbon, 1, 509-513.
14 Priest, S. D., 1993, Discontinuity analysis for rock engineering, Chapman & Hall, New York, 473p.
15 Priest, S. D. and Brown, E. T., 1983, Probabilistic stability analysis of variable rock slopes, Trans. Inst. Min. & Metall., 92p.
16 Priest, S. D. and Hudson, J. A., 1981, Estimation of discontinuity spacing and trace lengths using scanline surveys, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 18, 183-197.   DOI   ScienceOn
17 Wallis, P. F. and King, M. S., 1980, Discontinuity spacings in a crystalline rock, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 17, 63-66.   DOI   ScienceOn
18 Richarts, L. R., Leg, G. M. M. and Whittle, R. A., 1978, Appraisal of stability conditions in rock slopes, In Found. Eng. in Diff. Ground, ed. by Bell, F. G., Newnes-Butterworths, London, 192-228.
19 Tabba, M. M., 1984, Deterministic versus risk analysis of slope stability, Proc. 4th Int. Symp. Landslides, 491-498.
20 Villaescusa, E. and Brown, E. T., 1992, Maximum likelihood estimation of joint size from trace length measurement, Rock Mech. Rock Eng., 25, 67-87.   DOI
21 Low, B. K., 1997, Reliability analysis of rock wedges, J. Geotech. Geoenv. Eng., 123, 498-505.   DOI   ScienceOn
22 Lumb, P., 1966, The variability of natural soils, Can. Geotech. J., 3, 74-97.   DOI
23 Major, G., Ross-Brown, D., and Kim, H., 1978, A general probability analysis for three dimensional wedge failure, Proc. 19th U. S. Symp. Rock Mech., Reno, Nevada, 45-56.
24 Mauldon, M., 1998, Estimating mean fracture trace length and density from observation in convex windows, Rock Mech. Rock Eng., 31, 201-216.   DOI   ScienceOn
25 Muralha, J. and Trunk, U., 1993, Stability of rock blocks- Evaluation of failure probabilities by the Monte Carlo and first order reliability methods, Int. Symp. Assess. Prev. Failure Phenom. in Rock Eng., Istanbul, Turkey, 759-765.
26 Mauldon, M., Dunne, W. M., and Rohrbaugh, M. B., 2001, Circular scanlines and circular windows; new tools for characterizing the geometry of fracture traces, J. Struc. Geol., 23, 247-258.   DOI   ScienceOn
27 Mostyn, G. R. and Li, K. S., 1993, Probabilistic slope analysis-state of play, Proc. Conf. Prob. Methods in Geotech. Eng., Canberra, Australia, 89-109.
28 Muralha, J., 1991, A probabilistic approach to the stability of rock slope, 7th Cong. ISRM, Aachen, Germany, 921-927.
29 Narr, W. and Suppe, J., 1991, Joint spacing in sedimentary rocks, J. Struc. Geol., 13, 1037-1048.   DOI   ScienceOn
30 Nilsen, B., 2000, New trends in rock slope stability analyses, Bull. Eng. Geol. Env., 58, 173-178.   DOI   ScienceOn
31 Pahl, P. H., 1981, Estimating the mean length of discontinuity traces, Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 18, 221-228.   DOI   ScienceOn
32 Park, H. J. and West, T. R., 2001, Development of a probabilistic approach for rock wedge failure, Eng. Geol., 59, 233-251.   DOI   ScienceOn
33 윤우현, 천병식, 2003, 불연속면의 비선형 전단강도를 이용한 암반사면 쐐기파괴 확률 해석, 한국지반공학회지, 19, 151-160.   과학기술학회마을
34 Baecher, G. B., 1983, Statistical analysis of rock mass fracturing, J. Math. Geol., 15, 329-348.   DOI
35 Barton, N. R., 1973, Review of a new shear strength criterion for rock joints, Eng. Geol., 7, 287-332.   DOI   ScienceOn
36 Barton, N. R. and Choubey, V., 1977, The shear strength of rock joints in theory and practice, Rock Mech., 10, 1-54.   DOI