Deterministic and probabilistic block theory analyses comparison for an open pit mine rock slope in USA

Pinnaduwa Kulatilake, Jun Zheng, Biao Shu, Taghi Sherizadeh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new formulation is given to conduct a probabilistic block theory analysis. A new computer code (PBTAC) is developed to perform both deterministic and probabilistic block theory analysis. The variability of the discontinuity orientation and shear strength is incorporated in the probabilistic block theory analysis. Discontinuity orientation is treated as a bivariate random variable including the correlation that exists between the dip angle and dip direction. PBTAC code was applied to perform both deterministic and probabilistic block theory analyses for a part of an open pit mine in USA. Needed geological and geotechnical data for the analyses were obtained from field and laboratory investigations. The variability of the discontinuity orientations resulted in important differences between the probabilistic and deterministic block theory analyses results. The results confirmed that the design value selected for the Maximum Safe Slope Angle (MSSA) for a particular region in the open pit mine based on the deterministic block theory analysis can be on the un-conservative side. In summary, the results showed clearly the superiority of probabilistic block theory analysis over the deterministic block theory analysis in obtaining additional important information with respect to designing rock slopes. The calculated values agree very well with the existing almost stable bench face angles reported by a major mining company which cooperated with this study.

Original languageEnglish (US)
Title of host publication49th US Rock Mechanics / Geomechanics Symposium 2015
PublisherAmerican Rock Mechanics Association (ARMA)
Pages1532-1543
Number of pages12
Volume2
ISBN (Print)9781510810518
StatePublished - 2015
Event49th US Rock Mechanics / Geomechanics Symposium - San Francisco, United States
Duration: Jun 29 2015Jul 1 2015

Other

Other49th US Rock Mechanics / Geomechanics Symposium
CountryUnited States
CitySan Francisco
Period6/29/157/1/15

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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    Kulatilake, P., Zheng, J., Shu, B., & Sherizadeh, T. (2015). Deterministic and probabilistic block theory analyses comparison for an open pit mine rock slope in USA. In 49th US Rock Mechanics / Geomechanics Symposium 2015 (Vol. 2, pp. 1532-1543). American Rock Mechanics Association (ARMA).