Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability

The rock slope stability assessment can be performed by means of deterministic and probabilistic approaches. As the deterministic analysis needs only representative values (generally, the mean value) for each physical and geo-mechanical parameter involved, it does not take into account the variabili...

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Main Author: Paolo Budetta
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Geosciences
Subjects:
Online Access:https://www.mdpi.com/2076-3263/10/5/163
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author Paolo Budetta
author_facet Paolo Budetta
author_sort Paolo Budetta
collection DOAJ
description The rock slope stability assessment can be performed by means of deterministic and probabilistic approaches. As the deterministic analysis needs only representative values (generally, the mean value) for each physical and geo-mechanical parameter involved, it does not take into account the variability and uncertainty of geo-structural and geo-mechanical properties of joints. This analysis can be usually carried out using different methods, such as the Limit Equilibrium method or numerical modeling techniques sometimes implemented in graphical tests to identify different failure mechanisms (kinematic approach). Probabilistic methods (kinetic approach) aimed to calculate the slope failure probability, consider all orientations, physical characters and shear strength of joints and not only those recognized as kinematically possible. Consequently, the failure probability can be overestimated. It is, therefore, considered more realistic to perform both kinematic and kinetic analyses and to calculate a conditional probability given by the product of the kinematic and kinetic probabilities assuming that they are statistically independent variables. These approaches have been tested on two rock slopes in the Campanian region of Southern Italy affected by possible plane and wedge failures, respectively. Kinematic and kinetic probabilities have been evaluated both by means of the Markland’s test and the Monte Carlo simulation. Using the Eurocode 7, also a deterministic limit equilibrium analysis was performed. The obtained results were compared and commented on.
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spelling doaj.art-2f601a021cac4c65aa39a6b3c479e5552023-11-19T23:07:10ZengMDPI AGGeosciences2076-32632020-04-0110516310.3390/geosciences10050163Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope StabilityPaolo Budetta0Department of Civil, Architectural and Environmental Engineering, University of Naples “Federico II”, 80138 Naples, ItalyThe rock slope stability assessment can be performed by means of deterministic and probabilistic approaches. As the deterministic analysis needs only representative values (generally, the mean value) for each physical and geo-mechanical parameter involved, it does not take into account the variability and uncertainty of geo-structural and geo-mechanical properties of joints. This analysis can be usually carried out using different methods, such as the Limit Equilibrium method or numerical modeling techniques sometimes implemented in graphical tests to identify different failure mechanisms (kinematic approach). Probabilistic methods (kinetic approach) aimed to calculate the slope failure probability, consider all orientations, physical characters and shear strength of joints and not only those recognized as kinematically possible. Consequently, the failure probability can be overestimated. It is, therefore, considered more realistic to perform both kinematic and kinetic analyses and to calculate a conditional probability given by the product of the kinematic and kinetic probabilities assuming that they are statistically independent variables. These approaches have been tested on two rock slopes in the Campanian region of Southern Italy affected by possible plane and wedge failures, respectively. Kinematic and kinetic probabilities have been evaluated both by means of the Markland’s test and the Monte Carlo simulation. Using the Eurocode 7, also a deterministic limit equilibrium analysis was performed. The obtained results were compared and commented on.https://www.mdpi.com/2076-3263/10/5/163rock slope stabilitykinematic analysiskinetic analysisMonte Carlo simulationEurocode 7Southern Italy
spellingShingle Paolo Budetta
Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
Geosciences
rock slope stability
kinematic analysis
kinetic analysis
Monte Carlo simulation
Eurocode 7
Southern Italy
title Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
title_full Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
title_fullStr Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
title_full_unstemmed Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
title_short Some Remarks on the Use of Deterministic and Probabilistic Approaches in the Evaluation of Rock Slope Stability
title_sort some remarks on the use of deterministic and probabilistic approaches in the evaluation of rock slope stability
topic rock slope stability
kinematic analysis
kinetic analysis
Monte Carlo simulation
Eurocode 7
Southern Italy
url https://www.mdpi.com/2076-3263/10/5/163
work_keys_str_mv AT paolobudetta someremarksontheuseofdeterministicandprobabilisticapproachesintheevaluationofrockslopestability