Dépôt numérique

The Gumbel mixed model for flood frequency analysis.

Yue, Sheng, Ouarda, Taha B. M. J., Bobée, Bernard, Legendre, Pierre et Bruneau, Pierre (1999). The Gumbel mixed model for flood frequency analysis. Journal of Hydrology , vol. 226 , nº 1-2. p. 88-100. DOI: 10.1016/S0022-1694(99)00168-7.

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Many hydrological engineering planning, design, and management problems require a detailed knowledge of flood event characteristics, such as flood peak, volume and duration. Flood frequency analysis often focuses on flood peak values, and hence, provides a limited assessment of flood events. This paper proposes the use of the Gumbel mixed model, the bivariate extreme value distribution model with Gumbel marginals, to analyze the joint probability distribution of correlated flood peaks and volumes, and the joint probability distribution of correlated flood volumes and durations. Based on the marginal distributions of these random variables, the joint distributions, the conditional probability functions, and the associated return periods are derived. The model is tested and validated using observed flood data from the Ashuapmushuan river basin in the province of Quebec, Canada. Results indicate that the model is suitable for representing the joint distributions of flood peaks and volumes, as well as flood volumes and durations.

Type de document: Article
Mots-clés libres: flood peak; flood volume; flood duration; gumbel distribution; bivariate extreme distribution; joint probability distribution
Centre: Centre Eau Terre Environnement
Date de dépôt: 03 févr. 2021 19:52
Dernière modification: 03 févr. 2021 19:52
URI: https://espace.inrs.ca/id/eprint/11133

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