### Abstract

This paper presents a probabilistic approach to evaluating the geotechnical stability problem by incorporating the stochastic spatial variability of soil property within the numerical limit analyses. The undrained shear strength and unit weight of soil are treated as a random field which is characterized by a log-normal distribution and a spatial correlation length. The current calculations use a Cholesky Decomposition technique to incorporate these random properties in numerical limit analyses. The Random Field Numerical Limit Analyses are applied to evaluate effects of spatial variability of soil property on the slope stability and the failure mechanism. Monte Carlo simulations are then used to interpret the failure probability of slope for selected ranges of the coefficient of variation in soil property and the ratio of correlation length to slope height. Finally, the conventional safety factor of slope stability is evaluated to obtain an objective probability of slope failure.

Original language | English |
---|---|

Title of host publication | Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences |

Pages | 691-698 |

Number of pages | 8 |

DOIs | |

Publication status | Published - 2011 |

Event | International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2011 and the International Symposium on Uncertainty Modeling and Analysis, ISUMA 2011 - Hyattsville, MD, United States Duration: Apr 11 2011 → Apr 13 2011 |

### Other

Other | International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2011 and the International Symposium on Uncertainty Modeling and Analysis, ISUMA 2011 |
---|---|

Country | United States |

City | Hyattsville, MD |

Period | 4/11/11 → 4/13/11 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Safety, Risk, Reliability and Quality

### Cite this

*Vulnerability, Uncertainty, and Risk: Analysis, Modeling, and Management - Proceedings of the ICVRAM 2011 and ISUMA 2011 Conferences*(pp. 691-698) https://doi.org/10.1061/41170(400)84