JIANG Shui-hua, FENG Ze-wen, LIU Xian, et al. Inference of probability distributions of geotechnical parameters using
adaptive Bayesian updating approach[J]. 2020, 41(1): 325-335.
DOI:
JIANG Shui-hua, FENG Ze-wen, LIU Xian, et al. Inference of probability distributions of geotechnical parameters using
adaptive Bayesian updating approach[J]. 2020, 41(1): 325-335.DOI: 10.16285/j.rsm.2018.2266.
Inference of probability distributions of geotechnical parameters using
adaptive Bayesian updating approach
Accurate inference of the probability distributions of geotechnical parameters is a crucial step for reliability analysis and risk assessment in geotechnical engineering. At present
the probability distributions of geotechnical parameters are mainly inferred based on in-situ and/or laboratory test data. This paper aims to propose an adaptive Bayesian updating approach for the probability distribution inference of geotechnical parameters
in which a quantitative termination strategy for subset simulation is presented. Moreover
a framework for the inference and reliability analysis of the probability distributions of geotechnical parameters is constructed. The effectiveness of the proposed approach is verified by taking the landslide on No. 3 Freeway in Taiwan and a saturated clay slope as examples. Finally
the influence of the number of samples in each subset simulation level on the inference of probability distributions is addressed in this paper. The results indicate that
in comparison with the maximum likelihood and Markov chain Monte Carlo methods
the proposed approach is more efficient in calculation
simpler in programming
and can provide an effective way to solve the problem of probability distribution inference of geotechnical parameters at low acceptance probability levels. The number of random samples in each subset simulation level has certain influence on probability distribution inference. As the number of samples in each level increases
the posterior statistics of geotechnical parameters and threshold of subset simulation gradually converge. In addition
the rationality of the established quantitative termination strategy for subset simulation can be verified according to the variation of complementary cumulative distribution function with the subset simulation threshold.