Interaction of Ocean Waves with a Soft Bottom

Hsiao, S. V.; Shemdin, O. H.

doi:10.1175/1520-0485(1980)010<0605:ioowwa>2.0.co;2

Cited by 83 publications

(31 citation statements)

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“…Viscosity of (un-reconstituted) muds is not known with any certainty, but it has been measured on a few samples by Jiang and Mehta (1995) and Hsiao and Shemdin (1980). The range is large, from 225 to 140,000 Pa s, and when placed in the Algar et al (2011a) rise model, speeds of 0.2e47 cm s À1 result.…”

Section: Initial Bubble Risementioning

confidence: 99%

The physics of bubbles in surficial, soft, cohesive sediments

Boudreau

2012

Marine and Petroleum Geology

132

133

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Section: Initial Bubble Risementioning

confidence: 99%

The physics of bubbles in surficial, soft, cohesive sediments

Boudreau

2012

Marine and Petroleum Geology

132

133

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“…The imaginary part of k then gives the rate of spatial attenuation. Mud has also been modelled as a Kelvin-Voigt viscoelastic body by MacPherson (1980), Hsiao & Shemdin (1980) and Maa & Mehta (1988), where the coefficients of viscosity and elasticity are assumed to be constants. Second-order theories on the mass transport in fluid mud have been reported by Shibayama, Okuno & Sato (1990), Foda, Hunt & Chou (1993) and Piedra-Cueva.…”

Section: Introductionmentioning

confidence: 99%

Short and long waves over a muddy seabed

et al. 2010

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The available experimental results have shown that in time-periodic motion the rheology of fluid mud displays complex viscoelastic behaviour. Based on the measured rheology of fluid mud from two field sites, we study the interaction of water waves and fluid mud by a two-layered model in which the water above is assumed to be inviscid and the mud below is viscoelastic. As the fluid-mud layer in shallow seas is usually much thinner than the water layer above, the sharp contrast of scales enables an approximate analytical theory for the interaction between fluid mud and small-amplitude waves with a narrow frequency band. It is shown that at the leading order and within a short distance of a few wavelengths, wave pressure from above forces mud motion below. Over a much longer distance, waves are modified by the accumulative dissipation in mud. At the next order, infragravity waves owing to convective inertia (or radiation stresses) are affected indirectly by mud motion through the slow modulation of the short waves. Quantitative predictions are made for mud samples of several concentrations and from two different field sites.

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“…The dissipation rate of waves propagating over mud bottoms is considerably higher than over sandy bottoms. For a more detailed description see, e.g., Dean and Dalrymple (1984), Gade (1958), Hsiao and Shemdin (1980), and Cavaleri p.169 in (Komen et al, 1994). Winterwerp et al (2005) give a formulation for the energy dissipation source term which they used in the SWAN model.…”

Section: Energy Dissipation Due To Wave-bottom Interactionmentioning

confidence: 99%

Wave modelling – The state of the art

Cavaleri¹,

Alves²,

Ardhuin³

et al. 2007

Progress in Oceanography

461

177

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This paper is the product of the wave modelling community and it tries to make a picture of the present situation in this branch of science, exploring the previous and the most recent results and looking ahead towards the solution of the problems we presently face. Both theory and applications are considered.The many faces of the subject imply separate discussions. This is reflected into the single sections, seven of them, each dealing with a specific topic, the whole providing a broad and solid overview of the present state of the art. After an introduction framing the problem and the approach we followed, we deal in sequence with the following subjects: (Section) 2, generation by wind; 3, non-linear interactions in deep water; 4, white-capping dissipation; 5, non-linear interactions in shallow water; 6, dissipation at the sea bottom; 7, wave propagation; 8, numerics. The two final sections, 9 and 10, summarize the present situation from a general point of view and try to look at the future developments. Keywords

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Interaction of Ocean Waves with a Soft Bottom

Cited by 83 publications

References 0 publications

The physics of bubbles in surficial, soft, cohesive sediments

The physics of bubbles in surficial, soft, cohesive sediments

Short and long waves over a muddy seabed

Wave modelling – The state of the art

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