Browse > Article

Wave Damping Rate Over Multi-layer Permeable Bed of Finite Depth  

Suh, Kyung-Duck (Department of Civil & Environmental Engineering, Seoul National University)
Do, Ki-Deok (Department of Civil & Environmental Engineering, Seoul National University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.21, no.2, 2009 , pp. 127-135 More about this Journal
Abstract
Reid and Kajiura(1957) has studied on the wave damping rate over a permeable bed of infinite depth. In this study, wave damping rate over a permeable bed of finite depth is derived by linear wave theory. It is then extended to derive wave damping rates over a double or triple layer, each of which consist of different material. Applying the wave damping rate to the mild slope equation, the wave transmission coefficient over a permeable bed has been calculated. The model has been certificated by comparing with the result of Flaten and Rygg(1991)'s integral equation method in the case of a single-layer bed.
Keywords
wave damping rate; permeable bed; transmission coefficient; linear wave theory;
Citations & Related Records
연도 인용수 순위
  • Reference
1 이창훈, 이진욱, 최혁진, 김덕구, 이정만 (2007). 투과성 매질을 전파하는 파랑의 시간의존방정식. 한국해양과학기술협 의회 공동학술대회논문집. 2218-2221
2 Booij, N. (1981). Gravity waves on water with non-uniform depth and current. Ph.D. Dissertation, Delft University of Tech, Delft, Netherlan
3 Dean, R. G. and Dalrymple, R. A. (1991). Water wave mechanics for engineers and scientists. World Scientific, Singapore
4 Gu, Z. and Wang, H. (1991). Gravity waves over porous bottoms.Coastal Engineering, 15, 497-524   DOI   ScienceOn
5 Massel, S.R. (1993). Extended refraction diffraction equation for surface waves. Coastal Engineering, 19, 97-126   DOI   ScienceOn
6 Berkhoff, J.C.W. (1972). Computation of combined refractiondiffraction. Proceeding of 13th Intl. Conf. of Coastal Engineering, Vancouver, Canada, 471-490
7 Silva, R., Salles, P., Palacio, A. (2002). Linear waves propagating over a rapidly varying finite porous bed. Coastal Engineering, 44, 239-260   DOI   ScienceOn
8 Dagan, G. (1979). The generalization of Darcy’s law for nonuniform flows. Water Resour. Res., 15, 1-17   DOI   ScienceOn
9 van Gent, M.R.A. (1995). Porous flow through rubble mound material. J. Wtrwy., Port, Coast. and Oc. Engrg., ASCE, 121(3), 176-181   DOI   ScienceOn
10 Sollitt, C.K. and Cross, R.H. (1972). Wave transmission through permeable breakwater. 13th Intl. Conf. of Coastal Engineering., Vancouver, Canada, 1827-1846
11 Flaten, G. and Rygg, O.B. (1991). Dispersive shallow water waves over a porous sea bed. Coastal Engineering, 15(4), 347-369   DOI   ScienceOn
12 Chandrasekera, C.N. and Cheung, K.F. (1997). Extended linear refraction-diffraction model. J. Wtrwy., Port, Coast. and Oc. Engrg., ASCE, 123(5), 280-296   DOI   ScienceOn
13 Suh, K.D., Lee, C., Park, W.S. (1997). Time-dependent equations for wave propagation on rapidly varying topography. Coastal Engineering, 32, 91-117   DOI   ScienceOn
14 Sollitt, C.K. and Cross, R.H. (1972). Wave transmission through permeable breakwater. 13th Intl. Conf. of Coastal Engineering., Vancouver, Canada, 1827-1846
15 Chamberlain, P.G. and Porter, D. (1995). The modified mildslope equation. J. Fluid Mech., 291, 393-407   DOI   ScienceOn
16 Rojanakamthorn, S., Isobe, M., Watanabe, A. (1990). Modeling of wave transformation on submerged breakwater. 22nd Intl. Conf. of Coastal Engineering, New York, USA, 1060-1073
17 Reid, R.O. and Kajiura, K. (1957). On the damping of gravity waves over a permeable seabed. Trans. Am. Geophys. Union., 38, 662-666   DOI
18 Liu, P.L.-F. and Dalrymple, R.A. (1984). Damping of gravity water waves due to percolation. Coastal Engineering, 8, 33-49   DOI   ScienceOn