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Probabilistic Stability Analysis of a Three-Dimensional Rock Slope Characterized by the Hoek-Brown Failure Criterion

Pan, Qiujing / Jiang, Yuan-Jun / Dias, Daniel

The probabilistic stability analysis of a three-dimensional rock slope is studied in this paper. The deterministic computation of the critical slope height is based on the kinematic approach of limit analysis, for which the generalized Hoek-Brown failure criterion is adopted to characterize the failure of rock masses. Sparse polynomial chaos expansion is taken to perform the probabilistic analysis using a response surface method. The uncertainties considered involve the Hoek-Brown parameters ( $m_{i}$ , GSI, $σ_{c}$ , and $D_{i}$ ), slope geometry parameters ( $β$ , $H$ , and $B / H$ ), and rock mass unit weight ( $γ$ ). The influences of the uncertainty level, correlation relationships between the Hoek-Brown parameters, and distribution types are discussed. Finally, a reliability-based design chart is provided to evaluate the safety factor of a slope required for a target failure probability.

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Probabilistic Stability Analysis of a Three-Dimensional Rock Slope Characterized by the Hoek-Brown Failure Criterion

Pan, Qiujing / Jiang, Yuan-Jun / Dias, Daniel

The probabilistic stability analysis of a three-dimensional rock slope is studied in this paper. The deterministic computation of the critical slope height is based on the kinematic approach of limit analysis, for which the generalized Hoek-Brown failure criterion is adopted to characterize the failure of rock masses. Sparse polynomial chaos expansion is taken to perform the probabilistic analysis using a response surface method. The uncertainties considered involve the Hoek-Brown parameters ( $m_{i}$ , GSI, $σ_{c}$ , and $D_{i}$ ), slope geometry parameters ( $β$ , $H$ , and $B / H$ ), and rock mass unit weight ( $γ$ ). The influences of the uncertainty level, correlation relationships between the Hoek-Brown parameters, and distribution types are discussed. Finally, a reliability-based design chart is provided to evaluate the safety factor of a slope required for a target failure probability.

Probabilistic Stability Analysis of a Three-Dimensional Rock Slope Characterized by the Hoek-Brown Failure Criterion

Pan, Qiujing / Jiang, Yuan-Jun / Dias, Daniel

The probabilistic stability analysis of a three-dimensional rock slope is studied in this paper. The deterministic computation of the critical slope height is based on the kinematic approach of limit analysis, for which the generalized Hoek-Brown failure criterion is adopted to characterize the failure of rock masses. Sparse polynomial chaos expansion is taken to perform the probabilistic analysis using a response surface method. The uncertainties considered involve the Hoek-Brown parameters ( $m_{i}$ , GSI, $σ_{c}$ , and $D_{i}$ ), slope geometry parameters ( $β$ , $H$ , and $B / H$ ), and rock mass unit weight ( $γ$ ). The influences of the uncertainty level, correlation relationships between the Hoek-Brown parameters, and distribution types are discussed. Finally, a reliability-based design chart is provided to evaluate the safety factor of a slope required for a target failure probability.

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Title:

Probabilistic Stability Analysis of a Three-Dimensional Rock Slope Characterized by the Hoek-Brown Failure Criterion

Contributors:

Pan, Qiujing (author) / Jiang, Yuan-Jun (author) / Dias, Daniel (author)

Published in:

Journal of Computing in Civil Engineering ; 31

Publication date:

2017-05-29

ISSN:

0887-3801 , 1943-5487

DOI:

https://doi.org/10.1061/(ASCE)CP.1943-5487.0000692

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

Unknown

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