Investigating the Number of Monte Carlo Simulations for Statistically Stationary Model Outputs

نویسندگان

چکیده

The number of random fields required to capture the spatial variability soil properties and their impact on performance geotechnical systems is often varied. However, obtain higher-order statistical moments model outputs has not yet been studied. This research aims investigate Monte Carlo simulations needed achieve stationary statistics a pore pressure head in an unsaturated slope under steady-state infiltration. study recommends using at least 500 samples for probabilistic analysis engineering models. A more conservative choice up second-moment 1000 samples. reveals significant variations skewness, which become all mesh grids when exceeds 15,000. Kurtosis stabilizes only reaches 25,000. zone less uncertain. Additionally, probability density function follows leptokurtic distribution.

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ژورنال

عنوان ژورنال: Axioms

سال: 2023

ISSN: ['2075-1680']

DOI: https://doi.org/10.3390/axioms12050481