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Influence of Joint Distribution of Wave Heights and Periods on Reliability Analysis of Wave Run-up  

Lee Cheol-Eung (Department of Civil Engineering, Kangwon National University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.17, no.3, 2005 , pp. 178-187 More about this Journal
Abstract
A reliability analysis model f3r studying the influence of joint distribution of wave heights and periods on wave un-up is presented in this paper. From the definition of failure mode related to wave run-up, a reliability function may be formulated which can be considered uncertainties of water level. In particular, the reliability analysis model can be directly taken into account statistical properties and distributions of wave periods by considering wave period in the reliability function to be a random variable. Also, variations of wave height distribution conditioned to mean wave periods can be taken into account correctly. By comparison of results of additional reliability analysis using extreme distributions with those resulted from joint distribution of wave height and periods, it is found that probabilities of failure evaluated by the latter is larger than those by the former. Although the freeboard of sloped-breakwater structures can be determined by extreme distribution based on the long-term measurements, it may be necessary to investigate additionally into wave run-up by using the present reliability analysis model formulated to consider joint distribution of a single storm event. In addition, it may be found that the effect of spectral bandwidth parameter on reliability index may be little, but the effect of wave height distribution conditioned to mean wave periods is straightforward. Therefore, it may be confirmed that effects of wave periods on the probability of failure of wave run-up may be taken into account through the conditional distribution of wave heights. Finally, the probabilities of failure with respect to freeboard of sloped-breakwater structures can be estimated by which the rational determination of crest level of sloped-breakwater structures may be possible.
Keywords
wave run-up; reliability analysis; sloped-breakwater structures; freeboard; joint distribution of wave height and periods;
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  • Reference
1 Ahrens, J.P. (1981). Irregular wave runup on smooth slopes. Tech. Aid No. 81-17, Coastal Engrg. Res. Center, Vicksburg, Miss
2 Van der Meer, J.W. (1988). Deterministic and probabilistic design of breakwater armour layer. J. of Waterway, Port, Coast. and Ocn. Engrg., ASCE, 114(1),66-80
3 Ahrens, J.P. and Titus, M.F. (1985). Wave run-up formulas for smooth slopes. J. of Waterway, Port, Coast. and Ocn. Engrg., ASCE, Ill(l), 128-133
4 De Rouck, J., Verdonck, R., Troch, P., Van Damme, L., Schlutter, F. and De Ronde, J. (1999). Wave run-up and overtopping: Prototype versus scale models. MAST Ill- OPTICREST, A tech. Paper, MAS3-CT97-0116
5 Ahrens, J.P. and Titus, M.F. (1985). Wave run-up formulas for smooth slopes. J. of Waterway, Port, Coast. and Ocn. Engrg., ASCE, Ill(l), 128-133
6 Bruun, P. (1985). Design and construction of mounds for breakwaters and coastal protection. Elservier, New York
7 Losada, M.A. (1990). Recent Developments in the Design of Mound Breakwaters. Handbook of Coast. and Ocean Engrg., ed. Herbich, Gulf Publishing, 939-1050
8 Van der Meer, J.W. (1995). Conceptual design of rubble mound breakwaters. Advanced in Coast. and Gen. Engrg., 221-315
9 Van der Meer, J.w. and Stam, C.M. (1992). Wave runup on smooth and rock slopes of coastal structures. J. of Waterway, Port, Coast. and Ocn. Engrg., ASCE, 118(5),534-550   DOI
10 Losada, M.A., Grau, J.I. and Baquerizo, A. (2002). The recommendations for maritime and harbor works in Spain. Proc. 28th lnt. Coast. Engrg. Conf., ASCE, 2413-2422   DOI
11 Thoft-Christensen, P. and Baker, M.J. (1982). Structural Reliability Theory and its Applications. Springer-Verlag, Berlin, Germany
12 Grune, J. (1982). Wave runup caused by natural storm surge. Proc. 18th. Int. Coast. Engrg. Conf., ASCE, 785-803
13 이철응 (2003). 경사식 해안 구조물에 대한 처오름의 신뢰성 해석. 대한토목학회논문집, 23(6B), 567-574
14 SPM(Shore Protection Manual) (1984). Coastal Engineering Research Center. US Army Corps Engineers, Washington, DC
15 Shankar, N.J. and Jayaratne, M.P.R. (2003). Wave run-up and overtopping on smooth and rough slopes of coastal structures. Ocean Engrg., 30, 221-238   DOI   ScienceOn
16 Longuet-Higgins, F.R.S. (1983). On the joint distribution of wave periods and amplitudes in a random wave field. Proc. R. Soc. Lond. A, 389, 241-258   DOI