Statistical Modeling of Overtopping for Extreme Waves on Fixed Deck
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 129, Issue 4
Abstract
A statistical model is developed to predict wave overtopping of extreme waves on a fixed deck. The probability density function for the volume of overtopping water is based on the truncated Weibull distribution with the assumption of a local sinusoidal wave profile. The sensitivity to the wave nonlinearity parameter and deck clearance is discussed. The statistical model is compared to laboratory data for the instantaneous free surface elevation measured in front of a fixed deck and the instantaneous free surface elevation and overtopping rate measured at the leading edge of the deck. The statistical theory compared well with the measured exceedance probability seaward of the deck. Conditional sampling of the crest heights seaward of the deck gave a normalized probability distribution similar to that of the maximum water level measured on the deck for each overtopping event. The model prediction of the exceedance probability of deck overtopping gave very good agreement for large overtopping values.
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References
Bea, R., Xu, T., Stear, J., and Ramos, R.(1999). “Wave forces on decks of offshore plat-forms.” J. Waterw., Port, Coastal, Ocean Eng., 125(3), 136–144.
Buchner, B. (1995). “The impact of green water on fpsos.” Proc., 27th Offshore Technology Conf., Vol. OTC 7698, 45–57.
Cox, D. T., and Ortega, J. A.(2002). “Laboratory measurements of green water overtopping a fixed deck.” Ocean Eng., 29, 1827–1840.
Cox, D. T., and Scott, C.(2001). “Exceedance probability for wave overtopping on a fixed deck.” Ocean Eng., 28, 707–721.
Forristall, G.(1984). “The distribution of measured and simulated wave heights as a function of spectral shape.” J. Geophys. Res., [Oceans], 89(6), 10,547–10,552.
Forristall, G.(2000). “Wave crest distributions: Observation and second-order theory.” J. Phys. Oceanogr., 30, 1931–1942.
Franco, C., and Franco, L.(1999). “Nonbreaking wave overtopping of caisson breakwater: Prediction formulas based on 2D and 3D model tests.” J. Waterw., Port, Coastal, Ocean Eng., 125(2), 98–108.
Haring, R., Osborne, A., and Spencer, L. (1976). “Extreme wave parameters based on continental shelf storm wave records.” Proc., 15th Conf. on Coastal Engineering, Vol. 1, ASCE, New York, 151–170.
Hellan, O., Hermundstad, O., and Stansberg, C. (2001). “Designing for wave impact on bow and deck structures.” Proc., 11th ISOPE Conf., Vol. 1, ISOPE, 349–357.
Kendall, M., and Stuart, A. (1963). The advanced theory of statistics, 4th Ed., Charles Griffin, London, Chapters 3.12–3.15 and 6.17–6.20.
Kriebel, D., and Dawson, T. (1993). “Nonlinearity in wave crest statistics.” Proc., Ocean Wave Measurement and Analysis, ASCE, New York, 61–75.
Leonhardsen, R., Ersdal, G., and Kvitrud, A. (2001). “Experience and risk assessment of fpsos in use on the norwegian continental shelf: Descriptions of events.” Proc., 11th ISOPE Conference, Vol. 1, ISOPE, 309–314.
Mori, N., and Yasuda, T.(2002a). “Effects of high-order nonlinear wave-wave interactions on gravity waves.” Ocean Eng., 29(10), 1233–1245.
Mori, N., and Yasuda, T.(2002b). “A weakly non-gaussian model of wave height distribution for random wave train.” Ocean Eng., 29(10), 1219–1231.
Myrhaug, D., and Kjeldsen, S.(1987). “Prediction of occurrences of steep and high waves in deep waters.” J. Waterw., Port, Coastal, Ocean Eng., 113(2), 122–138.
Stansberg, C. (1993). “Propagation-dependent spatial variations observed in wavetrains generated in a long wave tank.” Data Rep. No. 490030.01, MARINTEK.
Yasuda, T., and Mori, N. (1994). “High order nonlinear effects on deep-water random wave trains.” Proc., Int. Symposium: Waves—Physical and Numerical Modelling, Vol. 2, 823–332.
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Copyright © 2003 American Society of Civil Engineers.
History
Received: Dec 21, 2001
Accepted: Dec 30, 2002
Published online: Jun 13, 2003
Published in print: Jul 2003
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