Distributions of freak wave heights measured in the North Sea

Stansell, Paul

doi:10.1016/j.apor.2004.01.004

Cited by 91 publications

(86 citation statements)

References 19 publications

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“…Other data obtained using laser altimetry on a North Sea oil platform were reported by Stansell (2004). He examined 354 000 waves observed during stormy periods at the Alwyn North field in a water depth of approximately 130 m and also found a probability of occurrence of rogue waves, with H ≥ 2H s , greater than predicted by the Rayleigh formula.…”

Section: Comparison With Datamentioning

confidence: 93%

Dynamical and statistical explanations of observed occurrence rates of rogue waves

Gemmrich

Garrett

2011

Nat. Hazards Earth Syst. Sci.

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Abstract. Extreme surface waves occur in the tail of the probability distribution. Their occurrence rate can be displayed effectively by plotting ln(−lnP ), where P is the probability of the wave or crest height exceeding a particular value, against the logarithm of that value. A Weibull distribution of the exceedance probability, as proposed in a standard model, then becomes a straight line. Earlier North Sea data from an oil platform suggest a curved plot, with a higher occurrence rate of extreme wave and crest heights than predicted by the standard model. The curvature is not accounted for by second order corrections, non-stationarity, or Benjamin-Feir instability, though all of these do lead to an increase in the exceedance probability. Simulations for deep water waves suggest that, if the waves are steep, the curvature may be explained by including up to fourth order Stokes corrections. Finally, the use of extreme value theory in fitting exceedance probabilities is shown to be inappropriate, as its application requires that not just N, but also lnN, be large, where N is the number of waves in a data block. This is unlikely to be adequately satisfied.

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Section: Comparison With Datamentioning

confidence: 93%

Dynamical and statistical explanations of observed occurrence rates of rogue waves

Gemmrich

Garrett

2011

Nat. Hazards Earth Syst. Sci.

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“…This section briefly describes statistical distributions in theories for wave fields which have been verified against data obtained from bottom--mounted sensors, buoys and altimeters (Bretschneider, 1959;Dobson et al, 1987;Sterl et al, 1998;Tucker and Pitt, 2001;Stansell, 2004;Vandever et al, 2008;Casas--Prat and Holthuijsen, 2010 Individual wave heights with a narrow--band spectrum are found to follow a Rayleigh distribution in the deep sea (Longuet--Higgins, 1952). Within this narrow--band spectrum of wave heights, the average height of the highest one--third of the waves over an observational period, H1/3, is practically equal to the significant wave height, Hs, that can be derived from the spectrum (Phillips, 1977).…”

Section: Statistical Distribution Of Wavesmentioning

confidence: 99%

Changes in significant and maximum wave heights in the Norwegian Sea

Feng

Tsimplis

Yelland

et al. 2014

Global and Planetary Change

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“…Rogue waves are usually defined as waves with a trough-to-crest wave height H exceeding the significant wave height H s by at least a factor of two (Dysthe et al, 2008;Stansell, 2004;Donelan and Magnusson, 2005;Müller and Garrett, 2007 …”

Section: Rogue Wavesmentioning

confidence: 99%