Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA

Engineering Geology

Volumn 79, Issue 3-4, 2005, Pages 230-250

  Park, Hyuck Jin ^a   West, Terry R ^b   Woo, Ik ^a  

^a Sejong University   (South Korea)

^b PURDUE UNIVERSITY   (United States)

Author keywords

Kinematic analysis; Kinetic instability; Monte Carlo simulation; Probabilistic analysis; Rock slope

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; MONTE CARLO METHODS; PARAMETER ESTIMATION; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES; ROCKS; SLOPE STABILITY;

DISCONTINUITY PARAMETERS; KINETIC INSTABILITY; ROCK SLOPE STABILITY;

GEOTECHNICAL ENGINEERING;

KINEMATICS; MONTE CARLO ANALYSIS; ROCK MECHANICS; SLOPE STABILITY;

NORTH AMERICA; NORTH CAROLINA; UNITED STATES; WESTERN HEMISPHERE; WORLD;

EID: 21144458335     PISSN: 00137952     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enggeo.2005.02.001     Document Type: Article

References (53)

1. A.H.S. Ang W.H. Tang Probability Concepts in Engineering Planning and Design vol. 1 1975 Wiley New York
2. G.B. Baecher Statistical analysis of rock mass fracturing J. Math. Geol. 15 2 1983 329-347
3. G.B. Baecher N.A. Lanney Trace length biases in joint surveys Proceedings of 19th US Symposium on Rock Mechanics 1978 56-65
4. N.R. Barton Review of a new shear strength criteria for rock joints Eng. Geol. 7 1973 287-332
5. A. Casagrande Role of the "Calculated Risk" in earthwork and foundation engineering J. Soil Mech. Found. Div. 91 4 1965 1-40
6. C. Cherubini V. Cotecchia G. Renna B. Schiraldi The use of bivariate probability density functions in Monte Carlo simulation of slope stability in soils Proc. 4th Int. Conf. on the Application of Statistics and Probability to Soil and Structural Engineering 1983 1401-1411
7. D.M. Cruden Describing the size of discontinuities Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 14 1977 133-137
8. H.S.B. Duzgun M.S. Yucemen C. Karpuz A methodology for reliability based design of rock slopes Rock Mech. Rock Eng. 36 2 2003 95-120
9. H.H. Einstein Risk and risk analysis in rock engineering Tunn. Undergr. Space Technol. 11 2 1996 141-155
10. H.H. Einstein G.B. Baecher Probabilistic and statistical methods in engineering geology; specific methods and examples - Part 1: Exploration Rock Mech. Rock Eng. 16 1983 39-72
11. H.H. Einstein D. Veneziano G.B. Baecher K.J. O'Reilly The effect of discontinuity persistence on rock sloe stability Int. J. Rock Mech. Sci. Geomech. Abstr. 20 1983 227-236
12. H. El-Ramly N.R. Morgenstern D.M. Cruden Probabilistic slope stability analysis for practice Can. Geotech. J. 39 2002 665-683
13. R.A. Fisher Dispersion on a sphere Proc. R. Soc. Lond., A 217 1953 295-305
14. G.P. Giani Rock Slope Stability Analysis 1992 A.A. Balkema
15. F.R. Glass A large wedge failure along Interstate 40 at North Carolina-Tennessee State line Proceedings of 48th Highway Geology Symposium 1998 Arizona Department of Transportation Prescott, Arizona 65-75
16. A. Günther SLOPEMAP: Programs for automated mapping of geomaterical and kinematical properties of hard rock hill slopes Comp. Geosci. 29 2003 865-875
17. M.E. Harr Reliability Based on Design in Civil Engineering 1987 McGraw-Hill New York
18. G. Herget Analysis of discontinuity orientation for a probabilistic slope stability design Proceedings of 19th U.S. Symposium on Rock Mechanics, Reno, Nevada 1978 University of Nevada 42-50
19. Hoek, E.T., 1998. Factor of safety and ptrobability of failure (Chpater 8). Course notes, Internet edition, http://www.rockeng.utoronto.ca/ hoekcorner.htm.
20. E.T. Hoek J.W. Bray Rock Slope Engineering 1981 Institute of Mining and Metallurgy
21. J.A. Hudson S.D. Priest Discontinuity frequency in rock masses Int. J. Rock Mech. Sci. Geomech. Abstr. 20 1983 73-89
22. ISRM Suggested methods for the quantitative description of discontinuities in rock masses Int. J. Rock Mech. Sci. Geomech. Abstr. 15 1978 319-368
23. J. Kemeny The time reduction of sliding cohesion due to rock bridge along discontinuities: A fracture mechanics approach Rock Mech. Rock Eng. 36 1 2003 27-38
24. P.H.S.W. Kulatilake D.N. Wathugala O. Stephansson Joint network modeling with a validation exercise in Strip mine, Sweden Int. J. Rock Mech. Sci. Geomech. Abstr. 30 1993 503-526
25. P.H.S.W. Kulatilake J. Um M. Wang R.F. Escandon J. Varvaiz Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA Eng. Geol. 70 2003 131-155
26. K.S. Li W. White Probabilistic approaches to slope design Research Report vol. 20 1987 Dept. of Civil Engineering, Australian Defense Force Academy Canberra, Australia 4
27. M.A. Mahtab T.M. Yegulalp A rejection criterion for definition of clusters in orientation data Proceedings of 22nd Symposium on Rock Mechanics 1982 American Institute of Mining Metallurgical and Petroleum Engineers New York 116-123
28. J.S. Martiz Distribution-free Statistical Methods 1981 Chapman and Hall London
29. M. Mauldon Intersection probabilities of impersistent joints Int. J. Rock Mech. Sci. Geomech. Abstr. 31 2 1994 107-115
30. M. Mauldon W.M. Dunne M.B. Rohrbaugh Circular scalines and circular windows: New tools for characterizing the geometry of fracture traces J. Struct. Geol. 23 2001 247-258
31. B.K. McMahon Statistical methods for the design of rock slopes 1st Australian-New Zealand Conference on Geomechanics 1971 314-321
32. G.R. Mostyn K.S. Li Probabilistic slope analysis - state of play Proceedings of Conference on Probabilistic Methods in Geotechnical Engineering 1993 A.A. Balkema Canberra, Australia 89-109
33. B. Nilsen New trend in rock slope stability analysis Bull. Eng. Geol. Environ. 58 2000 173-178
34. NCDOT I-40:Slope Stability Study Final Report vols. 1,2,3 1980 North Carolina Department of Transportation
35. Park, H.J., 1999. Risk analysis of rock slope stability and stochastic properties of discontinuity parameters in western North Carolina. PhD thesis. Purdue University.
36. H.J. Park T.R. West Development of a probabilistic approach for rock wedge failure Eng. Geol. 59 2001 233-251
37. S. Pathak B. Nilsen Probabilistic rock slope stability analysis for Himalayan condition Bull. Eng. Geol. Environ. 63 2004 25-32
38. R.B. Peck Advantages of limitations of the observational method in applied soil mechanics: 9th Rankie Lecture Geotechniques 19 2 1969 171-187
39. N. Powell R.J. Pine Bayesian approach to slope stability assessment by updating probability of failure treated as a random variable Trans. Inst. Min. Metall. 105 1996 A31-A36
40. S.D. Priest Discontinuity Analysis For Rock Engineering 1993 Chapman and Hall New York
41. S.D. Priest J.A. Hudson Estimation of discontinuity spacing and trace length using scanline surveys Int. J. Rock Mech. Min Sci. Geomech. Abstr. 18 1981 183-197
42. L. Rethai Probabilistic Solutions in Geotechnics 1998 Elsevier Amsterdam
43. A. Rouleau J.E. Gale Statistical characterization of the fracture system in the Strip Granite, Sweden Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 22 6 1985 353-367
44. C. Scavia Fracture mechanics approach to stability analysis of rock slopes Eng. Fract. Mech. 35 1990 899-910
45. E. Schultze The general significance of statistics for the civil engineer Proceedings of the 2nd International Conference on Application of Statistics and Probability in Soil and Structural Engineering, Aachen 1975
46. Z. Sen A. Kazi Discontinuity spacing and RQD estimates from finite length scanline Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 21 4 1984 203-212
47. R.N. Singh G.X. Sun Fracture mechanics approach to slope stability analysis Int. Symp. on Surface Mining 1989 University of Nottingtton England 93-97
48. R.D. Terzaghi Source of error in joint surveys Geotechnique 15 1965 287-304
49. P.F. Wallis M.S. King Discontinuity spacings in a crystalline rock Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 17 1980 63-67
50. T.R. West The effects of positive pore pressure on sliding and toppling of rock blocks with some considerations of intact rock effects Environ. Eng. Geosci. 2 1996 339-353
51. R.V. Whitman Evaluating calculated risk in geotechnical engineering J. Geotech. Eng., ASCE 110 2 1984 145-186
52. B.N. Whittaker R.N. Singh G. Sun Rock Fracture Mechanics; Principles, Design and Application 1992 Elsevier
53. L.S. Wiener C.E. Merschat Field Guidebook to the Geology of the Central Blue Ridge of North Carolina and Spruce Pine Mining District 1975 Association of American State Geologists