TECHNICAL PAPERS
Mar 1, 2002

Analytical Model for Response of Seabed beneath Composite Breakwater to Wave

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 128, Issue 2

Abstract

The response of a breakwater and the underlying seabed in the presence of waves has been recognized as an important design problem in the field of harbor and coastal engineering. In this research, an analytical model is proposed for the response of a composite-type breakwater and seabed to sinusoidal standing waves. In the proposed analytical model, the problem of the response is decomposed into the wave mode, called a scattering problem, and the caisson motion mode, called a radiation problem. The analytical model is characterized by solving each decomposed problem using a complex Fourier series technique. It is verified, first, by comparison with an analytical solution of the simpler problem of a caisson on a seabed, and secondly, by comparing it with a finite-element solution for the response of a composite-type breakwater (caisson on a rubble mound base). In both cases, the comparisons are in good agreement for pore-water pressure. The proposed analytical model is superior to a numerical model in requiring far less computation time and revealing contributions to the overall physics.

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References

Kumagai, T. (1998). “Analytical model of the response of a composite-type caisson breakwater and seabed to waves.” PhD dissertation, Univ. of California at Berkeley, Berkeley, Calif.
Mase, H., Sakai, T., and Sakamoto, M.(1994). “Wave-induced porewater pressure and effective stresses around breakwater.” Ocean Eng., 21(4), 361–379.
Mei, C. C., and Foda, M. A.(1981). “Wave-induced responses in a fluid-filled poro-elastic solid with a free surface—a boundary layer theory.” Geophys. J. R. Astron. Soc., 66, 597–631.
Mostafa, A. M., Mizutani, N., and Iwata, K.(1999). “Nonlinear wave, composite breakwater, and seabed dynamic interaction.” J. Waterw., Port, Coastal, Ocean Eng., 125(2), 88–97.
Mynett, A. E., and Mei, C. C.(1982). “Wave-induced stresses in a saturated poroelastic seabed beneath a rectangular caisson.” Geotechnique, 32, 235–248.
Tsai, Y. T., McDougal, W. G., and Sollitt, C. K.(1990). “Response of finite depth seabed to waves and caisson motion.” J. Waterw., Port, Coastal, Ocean Eng., 116, 1–20.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 128Issue 2March 2002
Pages: 62 - 71

History

Received: Sep 13, 2000
Accepted: Aug 9, 2001
Published online: Mar 1, 2002
Published in print: Mar 2002

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Authors

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Takahiro Kumagai
Coastal Engineer, Penta-Ocean Construction Co. Ltd., 1534-1 Yonku-cho, Nishinasuno, Nasu-gun, Tochigi 329-2746, Japan.
Mostafa A. Foda
Professor, Hydraulic and Coastal Engineering Division, Dept. of Civil and Environmental Engineering, Univ. of California at Berkeley, CA 94720.

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