A parametric model of the joint distribution of successive wave periods obtained as best fit to observed wave data is presented. The wave data were obtained from measurements at the Frigg field, central North Sea in 100 m water depth including more than 3 million individual waves. It appears that the parametric model gives a good representation of the main statistical properties of the measured data.

1.
Abramowitz, M., and Stegun, I. A., 1972, Handbook of Mathematical Functions, Dover, New York, NY.
2.
Bretschneider, C. L., 1959, “Wave Variability and Spectra for Wind-Generated Waves,” U.S. Army Corps of Engineers, B.E.B. Tech. Mem. 118.
3.
Cavanie´, A., Arhan, M., and Ezraty, R., 1976, “A Statistical Relationship Between Individual Heights and Periods of Storm Waves,” Proceedings Conference on Behaviour of Offshore Structures, Trondheim, Norway, Vol. II, pp. 354–360.
4.
Doucet, Y., Labeyrie, J., and Thebault, J., 1987, “Validation of Stochastic Environmental Design Criteria in the Frigg Field,” Advances in Underwater Technology, Ocean Science and Offshore Engineering, Vol. 12: Modelling the Offshore Environment, Graham and Trotman Ltd., London, UK, pp. 45–59.
5.
Goda, Y., 1978, “The Observed Joint Distribution of Periods and Heights of Sea Waves,” Proceedings 16th International Conference on Coastal Engineering, Hamburg, Germany, pp. 227–246.
6.
Goda
Y.
,
1983
, “
Analysis of Wave Grouping and Spectra of Long-Travelled Swell
,”
Report Port and Harbour Research Institute, Japan
, Vol.
22
, No.
1
, pp.
3
41
.
7.
Kimura, A., 1980, “Statistical Properties of Random Wave Groups,” Proceedings 17th International Conference on Coastal Engineering, Sydney, Australia, pp. 2955–2972.
8.
Kjeldsen, S. P., 1981, “Design Waves,” Report No. NHL 181008, Norwegian Hydrodynamic Laboratories, Trondheim, Norway.
9.
Labeyrie, J., and Olagnon, M., 1993, “Stochastic Sensitiveness to Combined Extreme Environmental Loads in Structural Reliability,” Proceedings 12th International Symposium on Offshore Mechanics and Arctic Engineering, Glasgow, Scotland, Vol. II, pp. 107–116.
10.
Lindgren
G.
, and
Rychlik
I.
,
1982
, “
Wave Characteristic Distributions for Gaussian Waves—Wave Length, Amplitude and Steepness
,”
Ocean Engineering
, Vol.
9
, pp.
411
432
.
11.
Longuet-Higgins
M. S.
,
1975
, “
On the Joint Distribution of Periods and Amplitudes of Sea Waves
,”
Journal of Geophysical Research
, Vol.
80
, pp.
2688
2694
.
12.
Longuet-Higgins
M. S.
,
1983
, “
On the Joint Distribution of Wave Periods and Amplitudes in a Random Wave Field
,”
Proceedings, Royal Society of London
, Ser. A, Vol.
389
, pp.
241
258
.
13.
Myrhaug
D.
,
Dahle
E. Aa.
, and
Rue
H.
,
1995
, “
A Two-Dimensional Weibull Distribution and Its Application to Rolling
,”
ASME JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING
, Vol.
117
, pp.
178
182
.
14.
Myrhagu
D.
, and
Rue
H.
,
1993
, “
Note on a Joint Distribution of Successive Wave Periods
,”
Journal of Ship Research
, Vol.
37
, pp.
209
213
.
15.
Myrhaug
D.
, and
Rue
H.
,
1998
, “
Joint Distribution of Successive Wave Periods Revisited
,”
Journal of Ship Research
, Vol.
42
, pp.
199
206
.
16.
Olagnon, M., 1999, Personal communication.
17.
Robin, A., and Olagnon, M., 1991, “Occurrence of Extreme Waves With Respect to Significant Wave Height,” Proceedings 10th International Symposium on Offshore Mechanics and Arctic Engineering, Stavanger, Norway, Vol. II, pp. 1–11.
18.
Srokosz
M. A.
, and
Challenor
P. G.
,
1987
, “
Joint Distributions of Wave Height and Period: A Critical Comparison
,”
Ocean Engineering
, Vol.
14
, pp.
295
311
.
19.
Tayfun
M. A.
,
1993
, “
Joint Distribution of Large Wave Heights and Associated Periods
,”
Journal of Waterway, Port, Coastal and Ocean Engineering
, ASCE, Vol.
119
, pp.
261
273
.
This content is only available via PDF.
You do not currently have access to this content.