On the damping of gravity waves over a permeable sea bed

Reid, Robert O.; Kajiura, Kinjiro

doi:10.1029/tr038i005p00662

Cited by 132 publications

(68 citation statements)

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“…(16) reduces to the wave damping rate of Reid and Kajiura(1957) for an infinitely deep permeable bed.…”

Section: Damping Of Water Waves Over Permeable Bed Of Finite Depthmentioning

confidence: 99%

“…Reid and Kajiura(1957) derived the damping rate of waves traveling over an infinitely deep permeable seabed on the assumption that the flow inside the bed is governed by the Darcy's equation. Later, Liu and Dalrymple(1984) derived the wave damping rate over a permeable seabed of finite depth by expressing the flow inside the bed by the generalized Darcy's equation, which considers additional wave damping inside the boundary layers between water and soil and between soil and impermeable stratum.…”

Section: Introductionmentioning

confidence: 99%

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Damping of Water Waves over Permeable Bed of Finite Depth

Kim

Lee²

2012

Journal of the Korean Society of Marine Environment and Safety

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: In this study, wave transformation by damping due to the permeable bed of finite depth is investigated. The relationship between wave damping rate and relative water depth are presented. The damping rate is used in the eigenfunction expansion method to calculate the wave dissipation over the permeable bed. For a permeable shoal, the eigenfunction expansion model result is compared with that of the integral equation method to show good agreement. The model is also used to examine the wave reflection over the permeable planar slope of various frequency. It has been found that in general relatively short waves are more influenced by the permeability of the permeable seabed than relatively long waves unless the water depth is so large that the influence of permeable bed on surface water waves disappears.

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“…(16) reduces to the wave damping rate of Reid and Kajiura(1957) for an infinitely deep permeable bed.…”

Section: Damping Of Water Waves Over Permeable Bed Of Finite Depthmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Damping of Water Waves over Permeable Bed of Finite Depth

Kim

Lee²

2012

Journal of the Korean Society of Marine Environment and Safety

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“…2 It will be convenient to define a modification factor K , which includes the above considerations, and which naturally will vary with wave period, water depth, bottom conditions, etc. , such that the wave spectrum in shallow water becomes JVC*) ^vr'JV ct) y ^ J ... (12) or in terms of frequency xyt*) »***>*(>0 (13) If the continental shelf is steep, such as off the Pacific Coast of the United States, wave energy loss due to bottom friction and percolation will be negligible. If the wave crests are parallel to parallel bottom contours, refraction will be absent, and if no waves break, then the modification will be due entirely to shoaling, whence K = K .…”

Section: {11)mentioning

confidence: 99%

Modification of Wave Spectra on the Continental Shelf and in the Surf Zone

Bretschneider

1962

Int. Conf. Coastal. Eng.

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This paper discusses the problem pertaining to the modification of the wave spectrum over the continental shelf. Modification factors include bottom friction, percolation, refraction, breaking waves, ocean currents, and regeneration of wind waves in shallow water, among other factors. A formulation of the problem is presented but no general solutio is made, primarily because of lack of basic data. Several special solutions are presented based on reasonable assumptions. The case for a steep continental shelf with parallel bottom contours and wave crests parallel to the coast and for which bottom friction is neglected has been investigated. For this case it is found that the predominant period shifts toward longer periods. The implication is, for example, that the significant periods observed along the U. S. Pacific coast are longer than those which would be observed several miles westward over deep water.The case for a gentle continental shelf with parallel bottom contoua and wave crests parallel to the coast and for which bottom friction is important has also been investigated. For this case it is found that the predominant period shifts toward shorter periods as the water depth decreases. The implication is, for example, that the significant periods observed in the shallow water over the continental shelf are shorter than those which would be observed beyond the continental slope. In very shallow water, because shoaling becomes important, a secondary peak appears at higher periods.The joint distribution of wave heights and wave periods is required in order to determine the most probable maximum breaking wave, which can be of lesser height than the most probable maximum non-breaking wa\ In very shallow water the most probable maximum breaking wave which fi occurs would be governed by the breaking depth criteria, whereas in deepwater wave steepness can also be a governing factor. It can be expected that in very shallow water the period of the most probable maximum breal ing wave should be longer than the significant period; and for deeper watei the period of the most probable maximum breaking wave can be less than the significant period.

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“…Based on the assumption of a rigid and permeable sandy seabed, Reid and Kajiura (1957) may be the first to investigate the phenomenon of wave damping analytically. Later, this method has been further extended to more complicated cases (Liu, 1973;Dean and Dalrymple, 1984;Kim et al, 2000).…”

Section: Introductionmentioning

confidence: 99%

Comparison of existing poroelastic models for wave damping in a porous seabed

Lin¹,

Jeng

2003

Ocean Engineering

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Mechanism of wave-seabed interaction has been extensively studied by coastal geotechnical engineers in recent years. Numerous poro-elastic models have been proposed to investigate the mechanism of wave propagation on a seabed in the past. The existing poro-elastic models include drained model, consolidation model, Coulomb-damping model, and full dynamic model. However, to date, the difference between the existing models is unclear. In this paper, the fully dynamic poro-elastic model for the wave-seabed interaction will be derived first. Then, the existing models will be reduced from the proposed fully dynamic model. Based on the numerical comparisons, the applicable range of each model is also clarified for the engineering practice. 

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On the damping of gravity waves over a permeable sea bed

Cited by 132 publications

References 1 publication

Damping of Water Waves over Permeable Bed of Finite Depth

Damping of Water Waves over Permeable Bed of Finite Depth

Modification of Wave Spectra on the Continental Shelf and in the Surf Zone

Comparison of existing poroelastic models for wave damping in a porous seabed

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