Gulf of Mexico Rare Wave Return Periods
Authors: Haring R.E. , Heideman J.C. 
Published: December 2007

Estimates of rare wave heights and crest heights in the Gulf of Mexico were derived from hindcasts of 22 severe hurricanes since 1900. Results vary little between the sectors investigated. Wave height results are not influenced strongly by the statistical method used, but crest heights are. Results provide a basis for evaluation of platform design wave criteria in the Gulf of Mexico.

Introduction
Parametric representation of rare storm waves is an Parametric representation of rare storm waves is an important basis for static wave force calculations and for the selection of minimum deck clearances in the design of fixed offshore structures. The purpose of this paper is to present estimates of rare wave heights and crest heights in the Gulf of Mexico based on hindcasts of 22 severe hurricanes in the gulf since 1900. Gulf of Mexico operators can compare these results with their own platform design criteria.To assess accurately return periods for large rare waves produced by storms, three things are required:an accurate storm sea-state generation model,knowledge of the conditional probabilities of individual wave parameters in a random sea, andstatistical analyses.
Although the specific results are applicable only to the Gulf of Mexico, the philosophy and procedures employed are applicable philosophy and procedures employed are applicable to any area where historically severe storms are the predominant environmental hazard associated with predominant environmental hazard associated with fixed platform design.Fig. 1 illustrates conceptually what is done in the historical analysis of severe storms. The universe of all possible storms that affect a platform location contains those storms that have occurred (past exposure) and those storms that will occur (future exposure). An underlying assumption of the analysis is that the statistics of events that have occurred will be representative of the statistics of events that will occur. The subset of past storms that are judged to have been the most severe, based on meteorological parameters, forms the basis for the hindcast study. parameters, forms the basis for the hindcast study. Wave data obtained for a small subset of past storms provide a basis for hindcast model validation. provide a basis for hindcast model validation. Hindcast technology for severe hurricanes occurring in the Gulf of Mexico is available through the industry-sponsored Ocean Data Gathering Program (ODGP) . Tropical storm sea-state data are available for the period between 1961 and 1974. The ODGP hindcast model adequately predicts the measured sea states given the conventionally available meteorological parameters of the storms.Previously published results based on different hindcast models and different statistical procedures are available. This paper and Ward et procedures are available. This paper and Ward et al. present results, obtained with the ODGP model.This study includes four main sections: discussion of data base, statistical treatment of hindcasts, wave parameter results, and sensitivity studies. parameter results, and sensitivity studies. Discussion of Data Base
The ODGP hindcast model predicts the maximum sea states developed without bias and with a 3.7-ft standard deviation on a site-by-site basis. It is not necessary that the hindcast model precisely predict each measured sea state.
JPT
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