Abstract

Optimal design and reassessment of offshore structures requires a good understanding of the ocean environment. The motion of the sea surface can be viewed as a three-dimensional, nonlinear stochastic process in time. In order to characterize the wave environment adequately, we need to model its random, nonlinear, and spread nature. In this paper, we address: • the expected shape of a wave near a crest or trough, • the expected shape of the ocean surface at one point, given a crest at a different point, • an efficient method to incorporate nonlinear effects within linear wave simulations, • the magnitude of wave nonlinearity as a function of wave amplitude. Detailed comparison of theory and full-scale offshore measurements at the Shell Expro Tern platform show good agreement.

1.
Battjes
J. A.
,
1982
, “
Effects of Short-Crestedness on Wave Loads on Long Structures
,”
Applied Ocean Research
, Vol.
4
, pp.
165
172
.
2.
Borgman, L. E., 1990, “Irregular Ocean Waves: Kinematics and Forces,” The Sea, Vol. 9A, eds., B. Le Me´haute´ and D. M. Hanes, Wiley-Interscience, New York, NY, pp. 121–168.
3.
Creamer
D. B.
,
Henyey
F.
,
Schult
R.
, and
Wright
J.
,
1989
, “
Improved Linear Representation of Ocean Surface Waves
,”
Journal of Fluid Mechanics
, Vol.
205
, pp.
135
161
.
4.
Dean, R. G., and Sharma, J. N., 1981, “Simulation of Wave Systems due to Non-Linear Directional Spectra,” Proceedings, International Symposium on Hydrodynamics in Ocean Engineering, Vol. 2, Norwegian Institute of Technology, Trondheim, Norway, pp. 1211–1222.
5.
Donelan
M. A.
,
Hamilton
J.
, and
Hui
W. H.
,
1985
, “
Directional Spectra of Wind-Generated Waves
,”
Philosophical Transactions Royal Society London
, Vol.
A315
, pp.
509
562
.
6.
Jonathan, P., Taylor, P. H., and Tromans, P. S., 1994, “Storm Waves in the Northern North Sea,” Proceedings, 7th International Conference on the Behaviour of Offshore Structures, ed., C. Chryssostomidis, Vol. 2, Pergamon, Oxford, U.K., pp. 481–494.
7.
Jonathan, P., and Taylor, P. H., 1996, “Wave-Induced Loads on Fixed Offshore Structures,” presented at OMAE’96, Florence, Italy.
8.
Lindgren
G.
,
1970
, “
Some Properties of a Normal Process Near a Local Maximum
,”
Annals of Mathematical Statistics
, Vol.
41
, pp.
1870
1883
.
9.
Phillips
O. M.
,
1985
, “
Spectral and Statistical Properties of the Equilibrium Range in Wind-Generated Gravity Waves
,”
Journal of Fluid Mechanics
, Vol.
156
, pp.
505
531
.
10.
Phillips
O. M.
,
Gu
D.
, and
Donelan
M.
,
1993
a, “
Expected Structure of Extreme Waves in a Gaussian Sea. Part I: Theory and SWADE Buoy Measurements
,”
Journal of Physics of Oceanography
, Vol.
23
, pp.
992
1000
.
11.
Phillips
O. M.
,
Gu
D.
, and
Walsh
E. J.
,
1993
b, “
Expected Structure of Extreme Waves in a Gaussian Sea. Part 2: SWADE Scanning Radar Altimeter Measurements
,”
Journal of Physics of Oceanography
, Vol.
23
, pp.
2297
2309
.
12.
Phillips, O. M., 1994, “The Structure of Extreme Waves,” Proceedings, 20th Symposium on Naval Hydrodynamics, Santa Barbara, CA.
13.
Taylor, P. H., 1992, “On the Kinematics of Large Ocean Waves,” Proceedings, 6th International Conference of the Behaviour of Offshore Structures (BOSS ’92), Vol. 1, pp. 134–145.
14.
Taylor, P. H., Jonathan, P., and Harland, L., 1995, “Time-Domain Simulation of Jack-Up Dynamics With the Extremes of a Gaussian Process,” Proceedings, 14th OMAE, Copenhagen, Denmark, Vol. 1A, pp. 313–319.
15.
Tromans, P. S., Anaturak, A., and Hagemeijer, P., 1991, “A New Model for the Kinematics of Large Ocean Waves—Application as a Design Wave,” Proceedings, 1st Offshore and Polar Engineering Conference (ISOPE), Golden, CO, Vol. 3, pp. 64–71.
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