Skip to main content
Erschienen in: Rock Mechanics and Rock Engineering 5/2009

01.10.2009 | Original Paper

Probabilistic Stability Evaluation of Oppstadhornet Rock Slope, Norway

verfasst von: H. S. B. Duzgun, R. K. Bhasin

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 5/2009

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Probabilistic analyses provide rational means to treat the uncertainties associated with underlying parameters in a systematic manner. The stability of a 734-m-high jointed rock slope in the west of Norway, the Oppstadhornet rock slope, is investigated by using a probabilistic method. The first-order reliability method (FORM) is used for probabilistic modeling of the plane failure problem in the rock slope. The Barton–Bandis (BB) shear strength criterion is used for the limit state equation. The statistical distributions of the BB criterion parameters, for which comprehensive data were collected and statistically analyzed, are determined by using distribution fitting algorithms. The sensitivity of the FORM model for the BB criterion is also investigated. It is found that the model is most sensitive to the mean value of the residual friction angle (ϕ r) and least sensitive to the mean value of the slope angle (β f). It is also found that the standard deviation of joint compressive strength (JCS) causes the greatest difference in the reliability index, which has the least sensitivity to the change in the mean and standard deviation of joint roughness coefficient (JRC).

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Ang HS, Tang WH (1984) Probability concepts in engineering planning and design. Wiley, New York Ang HS, Tang WH (1984) Probability concepts in engineering planning and design. Wiley, New York
Zurück zum Zitat Bafghi ARY, Verdel T (2004) The probabilistic key-group method. Int J Numer Anal Methods Geomech 28:899–917CrossRef Bafghi ARY, Verdel T (2004) The probabilistic key-group method. Int J Numer Anal Methods Geomech 28:899–917CrossRef
Zurück zum Zitat Barton N (1976) The Shear strength of rock and rock joints. Int J Rock Mech Min Sci 13:255–279CrossRef Barton N (1976) The Shear strength of rock and rock joints. Int J Rock Mech Min Sci 13:255–279CrossRef
Zurück zum Zitat Barton N, Bandis S (1990) Review of predictive capabilities of JRC-JCS Model in engineering practice. In: Proceedings of international symposium on rock joints. Loen, Norway, pp 603–610 Barton N, Bandis S (1990) Review of predictive capabilities of JRC-JCS Model in engineering practice. In: Proceedings of international symposium on rock joints. Loen, Norway, pp 603–610
Zurück zum Zitat Barton N, Choubey V (1977) The Shear strength of rock joints in theory and practice. Rock mechanics, vol 1/2. Springer, Vienna, pp 1–54 Barton N, Choubey V (1977) The Shear strength of rock joints in theory and practice. Rock mechanics, vol 1/2. Springer, Vienna, pp 1–54
Zurück zum Zitat BestFit (2005) Probability distribution fitting for windows, Paliside corporation, New York, 14867 BestFit (2005) Probability distribution fitting for windows, Paliside corporation, New York, 14867
Zurück zum Zitat Bhasin R, Kaynia AM (2004) Static and dynamic simulation of a 700-m high rock slope in western Norway. Eng Geol 71:213–226CrossRef Bhasin R, Kaynia AM (2004) Static and dynamic simulation of a 700-m high rock slope in western Norway. Eng Geol 71:213–226CrossRef
Zurück zum Zitat Bhasin R, Kaynia A, Blikra LH, Braathen A (2004) Insights into the deformation mechanisms of a jointed rock slope subjected to dynamic loading. Int J Rock Mech Min Sci Geomech Abstr 41:470–471CrossRef Bhasin R, Kaynia A, Blikra LH, Braathen A (2004) Insights into the deformation mechanisms of a jointed rock slope subjected to dynamic loading. Int J Rock Mech Min Sci Geomech Abstr 41:470–471CrossRef
Zurück zum Zitat Blikra LH, Braaten A, Skurtveit E (2001) Hazard evaluation of rock avalanches; the Baraldsnes—Oterøya area, Geological Survey of Norway (NGU), Report no: 2001.108, 33pp Blikra LH, Braaten A, Skurtveit E (2001) Hazard evaluation of rock avalanches; the Baraldsnes—Oterøya area, Geological Survey of Norway (NGU), Report no: 2001.108, 33pp
Zurück zum Zitat Braathen A, Blikra LH, Berg SS, Karlsen F (2003) Rock-slope failures of Norway; type, geometry and hazard. Nor J Geol 84:67–88 Braathen A, Blikra LH, Berg SS, Karlsen F (2003) Rock-slope failures of Norway; type, geometry and hazard. Nor J Geol 84:67–88
Zurück zum Zitat Carter BJ, Lajtai EZ (1992) Rock slope stability and distributed joint systems. Can Geotech J 29:53–60CrossRef Carter BJ, Lajtai EZ (1992) Rock slope stability and distributed joint systems. Can Geotech J 29:53–60CrossRef
Zurück zum Zitat Carosso G, DelGreco O, Giani GP (1987) Some probabilistic approaches to stability analysis of open pit exploitations. In: Proceedings of international symposium on engineering geology. Beijing, China, pp 881–891 Carosso G, DelGreco O, Giani GP (1987) Some probabilistic approaches to stability analysis of open pit exploitations. In: Proceedings of international symposium on engineering geology. Beijing, China, pp 881–891
Zurück zum Zitat Chiles JP (1988) Fractal and geostatistical methods for modeling a fracture network. Math Geol 20:631–654CrossRef Chiles JP (1988) Fractal and geostatistical methods for modeling a fracture network. Math Geol 20:631–654CrossRef
Zurück zum Zitat Chowdhury R, Flentje P (2003) Role of slope reliability analysis in landslide risk management. Bull Eng Geol Environ 62:41–46 Chowdhury R, Flentje P (2003) Role of slope reliability analysis in landslide risk management. Bull Eng Geol Environ 62:41–46
Zurück zum Zitat Christian JT (2004) Geotechnical engineering reliability: how well do we know what we are doing? J Geotech Geoenviron Eng 130:985–1003CrossRef Christian JT (2004) Geotechnical engineering reliability: how well do we know what we are doing? J Geotech Geoenviron Eng 130:985–1003CrossRef
Zurück zum Zitat Dahle H (2004) Slope stability analysis for Oppstadhornet (in Norwegian), Master of Science Thesis, Norwegian University of Science and Technology, Trondheim, Norway Dahle H (2004) Slope stability analysis for Oppstadhornet (in Norwegian), Master of Science Thesis, Norwegian University of Science and Technology, Trondheim, Norway
Zurück zum Zitat Duzgun HSB, Yucemen MS, Karpuz C (2002) A probabilistic model for the assessment of uncertainties in the shear strength of rock discontinuities. Int J Rock Mech Min Sci Geomech Abstr 39:773–754 Duzgun HSB, Yucemen MS, Karpuz C (2002) A probabilistic model for the assessment of uncertainties in the shear strength of rock discontinuities. Int J Rock Mech Min Sci Geomech Abstr 39:773–754
Zurück zum Zitat Duzgun HSB, Yucemen MS, Karpuz C (2003) A methodology for reliability-based design of rock slopes. Rock Mech Rock Eng 36(2):95–120CrossRef Duzgun HSB, Yucemen MS, Karpuz C (2003) A methodology for reliability-based design of rock slopes. Rock Mech Rock Eng 36(2):95–120CrossRef
Zurück zum Zitat Einstein HH, Baecher GB, Veneziano D (1980) Risk analysis for rock slopes in open pit mines. Final Technical Report, Massachusetts Institute of Technology, Departmet of Civil Engineering, Cambridge, USA, Publication No. R80-17 Einstein HH, Baecher GB, Veneziano D (1980) Risk analysis for rock slopes in open pit mines. Final Technical Report, Massachusetts Institute of Technology, Departmet of Civil Engineering, Cambridge, USA, Publication No. R80-17
Zurück zum Zitat Einstein HH, Veneziano D, Baecher GB, O’Reilly KJ (1983) The effect of discontinuity persistence on rock slope stability. Int J Rock Mech Mining Sci 20:227–236CrossRef Einstein HH, Veneziano D, Baecher GB, O’Reilly KJ (1983) The effect of discontinuity persistence on rock slope stability. Int J Rock Mech Mining Sci 20:227–236CrossRef
Zurück zum Zitat Einstein HH, Dershowitz WS (1996) Characterizing rock joint geometry with joint system models. Rock Mech Rock Eng 21:21–51 Einstein HH, Dershowitz WS (1996) Characterizing rock joint geometry with joint system models. Rock Mech Rock Eng 21:21–51
Zurück zum Zitat Feng P, Lajtai EZ (1998) Probabilistic treatment of the sliding wedge with EzSlide. Eng Geol 50:153–163CrossRef Feng P, Lajtai EZ (1998) Probabilistic treatment of the sliding wedge with EzSlide. Eng Geol 50:153–163CrossRef
Zurück zum Zitat Fulvio-Tonon PE (1998) Generalization of Mouldon’s and Goodman’s vector analysis of key block rotations. J Geotech Geoenviron Eng 124:913–922CrossRef Fulvio-Tonon PE (1998) Generalization of Mouldon’s and Goodman’s vector analysis of key block rotations. J Geotech Geoenviron Eng 124:913–922CrossRef
Zurück zum Zitat Goodman RE, Shi GH (1985) Block theory and its application to rock engineering, Prentice Hall, Englewood Cliffs Goodman RE, Shi GH (1985) Block theory and its application to rock engineering, Prentice Hall, Englewood Cliffs
Zurück zum Zitat Hoek E (1991) When is a design engineering acceptable? In: Proceedings of seventh ISRM congress on rock mechanics, vol 3, pp 1435–1497 Hoek E (1991) When is a design engineering acceptable? In: Proceedings of seventh ISRM congress on rock mechanics, vol 3, pp 1435–1497
Zurück zum Zitat Hoek E, Bray J (1981) Rock slope engineering, 3rd edn. Institute of Mining & Metall Hoek E, Bray J (1981) Rock slope engineering, 3rd edn. Institute of Mining & Metall
Zurück zum Zitat International Center For Geohazards (ICG) (2004) Rock slope failures-models and risks. Modelling the Oppstadhornet slope with Plaxis ICG Report No: 20031093-2, 73pp International Center For Geohazards (ICG) (2004) Rock slope failures-models and risks. Modelling the Oppstadhornet slope with Plaxis ICG Report No: 20031093-2, 73pp
Zurück zum Zitat International Union of Geological Sciences (IUGS) (1997) Working group on landslides, Committee on Risk Assessment. Quantitative risk assessment for slopes and landslides—the state of the art. In: Cruden DM, Fell R (eds) Landslide risk assessment. Balkema, Rotterdam, pp 3–12 International Union of Geological Sciences (IUGS) (1997) Working group on landslides, Committee on Risk Assessment. Quantitative risk assessment for slopes and landslides—the state of the art. In: Cruden DM, Fell R (eds) Landslide risk assessment. Balkema, Rotterdam, pp 3–12
Zurück zum Zitat Ivanova VM (1998) Geologic stochastic modeling of fracture systems in rocks, Phd Dissertation. Massachusetts Institute of Technology, Cambridge, USA Ivanova VM (1998) Geologic stochastic modeling of fracture systems in rocks, Phd Dissertation. Massachusetts Institute of Technology, Cambridge, USA
Zurück zum Zitat Jimenez-Rodriguez R, Sitar N (2007) Rock wedge stability analysis using system reliability methods. Rock Mech Rock Eng 40(4):419–427CrossRef Jimenez-Rodriguez R, Sitar N (2007) Rock wedge stability analysis using system reliability methods. Rock Mech Rock Eng 40(4):419–427CrossRef
Zurück zum Zitat Kimmance JP, Howe JH (1991) A combined geostatistical and first order second moment reliability analysis of slopes in kaolinsed granite. In: Proceedings of seventh ISRM congress on rock mechanics, pp 905–911 Kimmance JP, Howe JH (1991) A combined geostatistical and first order second moment reliability analysis of slopes in kaolinsed granite. In: Proceedings of seventh ISRM congress on rock mechanics, pp 905–911
Zurück zum Zitat Low J (1997) Reliability analysis of rock wedges. J Geotech Geoenviron Eng (ASCE) 123:498–505CrossRef Low J (1997) Reliability analysis of rock wedges. J Geotech Geoenviron Eng (ASCE) 123:498–505CrossRef
Zurück zum Zitat Low BK (2007) Efficient probabilistic algorithm illustrated for a rock slope, Rock Mech Rock Eng (online) Low BK (2007) Efficient probabilistic algorithm illustrated for a rock slope, Rock Mech Rock Eng (online)
Zurück zum Zitat McMahon BK (1971) A statistical method for the design of rock slopes. In: Proceedings of first Australia–New Zealand Conf. on Geomechanics: 314–321 McMahon BK (1971) A statistical method for the design of rock slopes. In: Proceedings of first Australia–New Zealand Conf. on Geomechanics: 314–321
Zurück zum Zitat Mauldon M, Goodman RE (1996) Vector analysis of key-block rotations. J Geotech Eng (ASCE) 122:976–987CrossRef Mauldon M, Goodman RE (1996) Vector analysis of key-block rotations. J Geotech Eng (ASCE) 122:976–987CrossRef
Zurück zum Zitat Mauldon M, Ureta J (1996) Stability analysis of rock wedges with multiple sliding surfaces. Int J Rock Mech Min Sci Geomech Abstr 33:51–66 Mauldon M, Ureta J (1996) Stability analysis of rock wedges with multiple sliding surfaces. Int J Rock Mech Min Sci Geomech Abstr 33:51–66
Zurück zum Zitat Muralha J, Trunk U (1993) Stability of rock slopes-evaluation of failure probabilities by the Monte Carlo and first order reliability methods. In: Proceedings of assessment and prevention of failure phenomena in rock engineering, pp 759–765 Muralha J, Trunk U (1993) Stability of rock slopes-evaluation of failure probabilities by the Monte Carlo and first order reliability methods. In: Proceedings of assessment and prevention of failure phenomena in rock engineering, pp 759–765
Zurück zum Zitat Nadim F, Krunic D, Jeanjean P (2003) Probabilistic slope stability analyses of the Sigsbee escarpment. In: Proceedings of offshore technology conference, OTC Paper No.: 15203 Nadim F, Krunic D, Jeanjean P (2003) Probabilistic slope stability analyses of the Sigsbee escarpment. In: Proceedings of offshore technology conference, OTC Paper No.: 15203
Zurück zum Zitat Nadim F, Einstein H, Roberds W (2005) Probabilistic stability analysis for individual slopes in soil and rock. In: Proceedings of international conference on landslide risk management, pp 63–98 Nadim F, Einstein H, Roberds W (2005) Probabilistic stability analysis for individual slopes in soil and rock. In: Proceedings of international conference on landslide risk management, pp 63–98
Zurück zum Zitat Park H, West TR (2001) Development of a probabilistic approach for wedge failure. Eng Geol 59:233–251CrossRef Park H, West TR (2001) Development of a probabilistic approach for wedge failure. Eng Geol 59:233–251CrossRef
Zurück zum Zitat Park H-J, West TR, Woo I (2005) Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Eng Geol 79:230–250CrossRef Park H-J, West TR, Woo I (2005) Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Eng Geol 79:230–250CrossRef
Zurück zum Zitat Pine RJ, Roberds WJ (2005) A Risk-based approach for the design of rock slopes subject to multiple failure modes-illustrated by a case study in Hong Kong. Int J Rock Mech Min Sci Geomech Abstr 42:261–275CrossRef Pine RJ, Roberds WJ (2005) A Risk-based approach for the design of rock slopes subject to multiple failure modes-illustrated by a case study in Hong Kong. Int J Rock Mech Min Sci Geomech Abstr 42:261–275CrossRef
Zurück zum Zitat Priest SD (1993) Discontinuity analysis for rock engineering. Chapman & Hall, London Priest SD (1993) Discontinuity analysis for rock engineering. Chapman & Hall, London
Zurück zum Zitat Priest SD, Hudson J (1983) Discontinuity frequency in rock masses. Int J Rock Mech Min Sci Geomech Abstr 20:73–89CrossRef Priest SD, Hudson J (1983) Discontinuity frequency in rock masses. Int J Rock Mech Min Sci Geomech Abstr 20:73–89CrossRef
Zurück zum Zitat Quek ST, Leung CF (1995) Reliability-based stability analysis of rock excavations. Int J Rock Mech Min Sci Geomech Abstr 32:617–620CrossRef Quek ST, Leung CF (1995) Reliability-based stability analysis of rock excavations. Int J Rock Mech Min Sci Geomech Abstr 32:617–620CrossRef
Zurück zum Zitat Robinson P, Tveten E, Blikra LH (1997) A post-glacial bedrock failure at Oppstadhornet, Oteroya, More og Romsdal: a potential major rock avalanche. NGU Bull 433:46–47 Robinson P, Tveten E, Blikra LH (1997) A post-glacial bedrock failure at Oppstadhornet, Oteroya, More og Romsdal: a potential major rock avalanche. NGU Bull 433:46–47
Zurück zum Zitat Sagaseta C, Sanchez JM, Canizal JA (2001) General analytical solution for the required anchor force in rock slopes with toppling failure. Int J Rock Mech Min Sci Geomech Abstr 38:379–397CrossRef Sagaseta C, Sanchez JM, Canizal JA (2001) General analytical solution for the required anchor force in rock slopes with toppling failure. Int J Rock Mech Min Sci Geomech Abstr 38:379–397CrossRef
Zurück zum Zitat Trunk U (1993) Probabilistic stability analysis of rock wedges. In: Proceeding of safety and environmental issues on rock engineering, Eurock’93 Symp, pp 227–231 Trunk U (1993) Probabilistic stability analysis of rock wedges. In: Proceeding of safety and environmental issues on rock engineering, Eurock’93 Symp, pp 227–231
Zurück zum Zitat Warburton PM (1981) Vector stability analysis of an arbitrary polyhedral rock block with any number of free faces. Int J Rock Mech Min Sci Geomech Abstr 18:415–427CrossRef Warburton PM (1981) Vector stability analysis of an arbitrary polyhedral rock block with any number of free faces. Int J Rock Mech Min Sci Geomech Abstr 18:415–427CrossRef
Zurück zum Zitat Young DS (1993) Probabilistic slope analysis for structural failure. Int J Rock Mech Min Sci Geomech Abstr 30:1623–1629CrossRef Young DS (1993) Probabilistic slope analysis for structural failure. Int J Rock Mech Min Sci Geomech Abstr 30:1623–1629CrossRef
Metadaten
Titel
Probabilistic Stability Evaluation of Oppstadhornet Rock Slope, Norway
verfasst von
H. S. B. Duzgun
R. K. Bhasin
Publikationsdatum
01.10.2009
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 5/2009
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-008-0011-3

Weitere Artikel der Ausgabe 5/2009

Rock Mechanics and Rock Engineering 5/2009 Zur Ausgabe