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Joint Return Value Estimation of Significant Wave Heights and Wind Speeds with Bivariate Copulas

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Abstract

The joint design criteria of significant wave heights and wind speeds are quite important for the structural reliability of fixed offshore platforms. However, the design method that regards different ocean environmental variables as independent is conservative. In the present study, we introduce a bivariate sample consisting of the maximum wave heights and concomitant wind speeds of the threshold by using the peak-over-threshold and declustering methods. After selecting the appropriate bivariate copulas and univariate distributions and blocking the sample into years, the bivariate compound distribution of annual extreme wave heights and concomitant wind speeds is constructed. Two joint design criteria, namely, the joint probability density method and the conditional probability method, are applied to obtain the joint return values of significant wave heights and wind speeds. Results show that (28.5±0.5)ms−1 is the frequently obtained wind speed based on the Atlantic dataset, and these joint design values are more appropriate than those calculated by univariate analysis in the fatigue design.

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Acknowledgement

The study was supported by the National Natural Science Foundation of China (No. 52171284).

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Correspondence to Sheng Dong.

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Tao, S., Dong, S., Lin, Y. et al. Joint Return Value Estimation of Significant Wave Heights and Wind Speeds with Bivariate Copulas. J. Ocean Univ. China 22, 1181–1192 (2023). https://doi.org/10.1007/s11802-023-5338-6

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  • DOI: https://doi.org/10.1007/s11802-023-5338-6

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