The stochastic assessment of strength and deformability characteristics for a pyroclastic rock mass

International Journal of Rock Mechanics and Mining Sciences

Volumn 46, Issue 3, 2009, Pages 613-626

  Sari, Mehmet ^a  

^a AKSARAY UNIVERSITY   (Turkey)

Author keywords

Chi square test; Kizilkaya ignimbrite; Monte Carlo simulation; Rock mass strength; Stochastic assessment; UCS

Indexed keywords

DEFORMATION; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; PROBABILITY DENSITY FUNCTION; ROCK MECHANICS; ROCKS; STATISTICAL TESTS;

CHI-SQUARE TESTS; IGNIMBRITES; KIZILKAYUM IGNIMBRITE; MONTE CARLO'S SIMULATION; PRACTICAL PROCEDURES; PYROCLASTIC ROCKS; ROCK MASS STRENGTH; ROCK-MASS; STOCHASTIC ASSESSMENT; UCS;

STOCHASTIC SYSTEMS;

ASSESSMENT METHOD; COMPUTER SIMULATION; DEFORMATION; EMPIRICAL ANALYSIS; FIELDWORK; IGNIMBRITE; LABORATORY METHOD; MONTE CARLO ANALYSIS; PROBABILITY DENSITY FUNCTION; ROCK MASS RESPONSE; STOCHASTICITY; STRENGTH;

EID: 60749103185     PISSN: 13651609     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijrmms.2008.07.007     Document Type: Article

References (62)

1. Hoek ET. Factor of safety and probability of failure. Course notes, Internet edition, 1998. 〈http://www.rockeng.utoronto.ca/hoekcorner.htm〉 [chapter 8].
2. Park H.J., West T.R., and Woo I. Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Eng Geol 79 (2005) 230-250
3. Weibull W. A statistical theory of the strength of materials. Ingeniorsvetenskap Akadmiens Handlingar 151 (1939) 5-44
4. Hudson JA, Fairhurst C. Tensile strength, Weibull's theory and a general statistical approach to rock failure. In: Proceedings of the Southampton 1969 civil engineering materials conference, 1969. p. 901-14.
5. Priest S.D., and Hudson J.A. Discontinuity spacings in rock. Int J Rock Mech Min Sci 13 (1976) 135-148
6. Hudson J.A., and Priest S.D. Discontinuity frequency in rock masses. Int J Rock Mech Sci Geomech Abstr 20 (1983) 73-89
7. Einstein H.H., and Baecher G.B. Probabilistic and statistical methods in engineering geology: specific methods and examples-part I: exploration. Rock Mech Rock Eng 16 (1983) 39-72
8. La Pointe P.R., and Hudson J.A. Characterization and interpretation of rock mass jointing patterns. Geol Soc Am Spec Pap 199 (1985) 1-37
9. Yegulalp T.M., and Mahtab M.A. A proposed model for statistical representation of mechanical properties of rock. Proceedings of the 24th US rock mechanics symposium, Texas A&M (1983) 61-69
10. Yegulalp T.M., and Kim K. Statistical assessment of scale effect on rock properties using the theory of extremes. Trans AIME 294 (1992) 1834-1837
11. Kim K., and Gao H. Probabilistic approaches to estimating variation in the mechanical properties of rock masses. Int J Rock Mech Min Sci Geomech Abstr 34 (1995) 111-120
12. Park HJ. Risk analysis of rock slope stability and stochastic properties of discontinuity parameters in western North Carolina. PhD thesis, Purdue University, 1999.
13. Park H.J., and West T.R. Development of a probabilistic approach for rock wedge failure. Eng Geol 59 (2001) 233-251
14. Duzgun H.S.B., Yucemen M.S., and Karpuz C. A methodology for reliability based design of rock slopes. Rock Mech Rock Eng 36 (2003) 95-120
15. Kim K., and Gao H. Probabilistic site characterization strategy for natural variability assessment of rock mass properties. Proceedings of the 10th ASCE conference on engineering mechanics, University of Colarado vol. 1 (1995) 21-24
16. Hoek E.T. Reliability of the Hoek-Brown estimates of rock mass properties and their impact on design. Int J Rock Mech Min Sci 35 (1998) 63-68
17. Bieniawski Z.T. Determining rock mass deformability: experience from case histories. Int J Rock Mech Min Sci Geomech Abstr 15 (1978) 237-247
18. Hoek E., and Brown E.T. Underground excavations in rock (1980), Institute of Mining and Metallurgy, London
19. Barton N. Application of Q-system and index tests to estimate shear strength and deformability of rock masses. In: Proceedings of the international symposium on engineering geology and underground construction, 1983. p. 51-70.
20. Walker G.P.L. Ignimbrite types and ignimbrite problems. J Volcanol Geotherm Res 18 (1983) 117-133
21. Şimşek Ş. Ihlara (Kapadokya) özel çevre koruma bölgesinin jeolojisi ve bölgede yeralan termal kaynaklari{dotless}n hidrojeolojik ve hidrojeokimyasal araşti{dotless}rmasi{dotless} ve korumaya ilişkin öneriler, Aksaray Valiliǧi, Aksaray, 1997.
22. Beekman PH. Aksaray-Gelveri-Çi{dotless}narli{dotless} Bölgesi'nin jeoloji raporu, MTA Genel Müdürlüǧü Jeoloji Etütleri Daire Başkanli{dotless}ǧi{dotless}, Ankara, Derleme no 5218, 1966.
23. Toprak V., and Göncüoǧlu M.C. Tectonic control on the development of the neogene-quaternary central anatolian volcanic province, Turkey. Geol J 28 (1993) 357-369
24. Ilkisik O.M., Gurer A., Tokgoz T., and Kaya C. Geoelectromagnetic and geothermic investigations in the Ihlara Valley geothermal field. J Volcanol Geotherm Res 78 (1997) 297-308
25. Le Pennec J.L., Bourdier J.L., Froger A., Temel A., Camus G., and Gourgaud A. Neogene ignimbrites of Nevsehir Plateau (central Turkey): stratigraphy, distribution and source constraints. J Volcanol Geotherm Res 63 (1994) 59-87
26. Innocenti F., Mazzuoli R., Pasquare G., Radicati di Brozolo F., and Villari L. The neogene calc-alkaline volcanic of central anatolia: geochronological data on kayseri-niǧde area. Geol Mag 112 (1975) 349-360
27. Topal T., and Doyuran V. Engineering geological properties and durability assessment of the Cappadocian tuff. Eng Geol 47 (1997) 175-187
28. Temel A., Gundogdu M.N., Gourgaud A., and Le Pennec J.L. Ignimbrites of Cappadocia (Central Anatolia, Turkey): petrology and geochemistry. J Volcanol Geotherm Res 85 (1998) 447-471
29. Bieniawski Z.T. Engineering classification of jointed rock masses. Trans South Afr Inst Civ Eng 15 (1973) 335-344
30. Brown ET, editor. ISRM suggested methods: rock characterization, testing and monitoring. London: Pergamon; 1981.
31. TS 699. Tabii Yapi{dotless} Taşlari{dotless}-Muayene ve Deney Metotlari{dotless}, Türk Standartlari{dotless} Enstitüsü, Ankara, 1987.
32. Ang A.H.S., and Tang W.H. Probability concepts in engineering planning and design vol. 1 (1975), Wiley, New York
33. Harr M.E. Reliability-based design in civil engineering (1987), McGraw-Hill, New York
34. Bieniawski Z.T. Engineering rock mass classifications (1989), Wiley, New York
35. Grasso P., Xu S., and Mahtab M.A. Problems and promises of index testing of rocks. Proceedings of the 33rd US rock mechanics symposium (1992), Balkema, Rotterdam 879-888
36. Hsu S.C., and Nelson P.P. Characterization of Eagle Ford shale. Eng Geol 67 (2002) 169-183
37. Pathak S., and Nilsen B. Probabilistic rock slope stability analysis for Himalayan condition. Bull Eng Geol Environ 63 (2004) 25-32
38. Sari M., and Karpuz C. Rock variability and establishing confining pressure levels for triaxial tests on rocks. Int J Rock Mech Min Sci 43 (2006) 328-335
39. Daniel W.W. Applied nonparametric statistics (1978), Houghton Mifflin, Boston
40. Deere D.U., Hendron A.J., Patton F.D., and Cording E.J. Design of surface and near surface construction in rock. In: Fairhurst C. (Ed). Failure and breakage of rock (1967), Society of Mining Engineering, AIME, New York 237-302
41. Einstein H.H., Veneziano D., Baecher G.B., and O'Reilly K.J. The effect of discontinuity persistence on rock slope stability. Int J Rock Mech Min Sci Geomech Abstr 20 (1983) 227-236
42. Wallis P.F., and King M.S. Discontinuity spacings in a crystalline rock. Int J Rock Mech Min Sci Geomech Abstr 17 (1980) 63-67
43. Baecher G.B. Statistical analysis of rock mass fracturing. J Math Geol 15 (1983) 329-347
44. Kulatilake P.H.S.W., Wathugala D.N., and Stephansson O. Joint network modeling with a validation exercise in Strip mine, Sweden. Int J Rock Mech Sci Geomech Abstr 30 (1993) 503-526
45. Kulatilake P.H.S.W., Um J., Wang M., Escandon R.F., and Varvaiz J. Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA. Eng Geol 70 (2003) 131-155
46. Sen Z., and Kazi A. Discontinuity spacing and RQD estimates from finite length scanline. Int J Rock Mech Min Sci Geomech Abstr 21 (1984) 203-212
47. Rouleau A., and Gale J.E. Statistical characterization of the fracture system in the Strip Granite, Sweden. Int J Rock Mech Min Sci Geomech Abstr 22 (1985) 353-367
48. Sari M., and Çömlekçiler F. Ki{dotless}zi{dotless}lkaya ignimbiritlerinde görülen süreksizliklerin incelenmesi ve kaya kütlesinin tani{dotless}mlanmasi{dotless}. S Ü Mühendislik-Mimarli{dotless}k Fakültesi Dergisi 23 (2007) 207-216
49. Hoek E., and Brown E.T. Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34 (1997) 1165-1186
50. Binal A. Investigation of the instability mechanisms observed in the volcano-sedimentary rocks at Aksaray-Ihlara Valley. MSc thesis, Hacettepe University, Ankara, 1996.
51. Hoek E, Carranza-Torres CT, Corkum B. Hoek-Brown failure criterion. 2002 ed. In: Proceedings of the North American rock mechanics symposium, Toronto, July 2002.
52. Serafim JL, Pereira JP. Consideration of the geomechanics classification of Bieniawski. In: Proceedings of the international symposium on engineering geology and underground construction, Lisbon, 1983, p. 1133-44.
53. Vose D. Risk analysis: a quantitative guide. 2nd ed. (2000), Wiley, Chichester
54. Ripley B.D. Stochastic simulation (1987), Wiley, New York
55. Evans E., Hastings N., and Peacock B. Statistical distributions. 2nd ed. (1993), Wiley, New York
56. Johnson N.L., Kotz K., and Kemp A.D. Univariate discrete distributions (1993), Wiley, New York
57. Johnson N.L., Kotz K., and Balakrishnan N. Continuous univariate distributions vol. 1 (1994), Wiley, New York
58. Johnson N.L., Kotz K., and Balakrishnan N. Continuous univariate distributions vol. 2 (1995), Wiley, New York
59. Law A.M., and Kelton W.D. Simulation modeling and analysis. 3rd ed. (2000), McGraw-Hill, New York
60. Gentle J.E. Random number generation and Monte Carlo methods (statistics and computing) (1998), Springer, New York
61. Palisade. @RISK program and user manual (2001), Palisade Corporation, New York
62. Ades A.E., and Lu G. Correlations between parameters in risk models: estimation and propagation of uncertainty by Markov Chain Monte Carlo. Risk Anal 23 (2003) 1165-1172