Asymptotic analysis of a surface-interfacial wave interaction

Jamali, Mirmosadegh; Seymour, Brian; Lawrence, Gregory A.

doi:10.1063/1.1522380

Cited by 30 publications

(16 citation statements)

References 6 publications

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“…Mud has been described as a viscous Newtonian fluid [Dalrymple and Liu, 1978;Ng, 2000;De Wit, 1995]; viscoelastic solid [Jiang and Mehta, 1995]; viscoplastic Bingham material [Mei and Liu, 1987;Chan and Liu, 2009]; or poroelastic material [Yamamoto et al, 1978;Yamamoto and Takahashi, 1985] (other mud-mediated processes have also been hypothesized to contribute to wave damping, such as nonlinear interactions between surface and interfacial waves at the water-mud interface [Jamali et al, 2003]). …”

Section: Introductionmentioning

confidence: 99%

Wave-mud interaction over the muddy Atchafalaya subaqueous clinoform, Louisiana, United States: Wave processes

Sheremet

Jaramillo

et al. 2011

J. Geophys. Res.

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[1] Observations of wave and sediment processes collected at two locations on the Atchafalaya inner shelf show that wave dissipation in shallow, muddy environments is strongly coupled to bed-sediment reworking by waves. During an energetic wave event (2 m significant wave height in 5 m water depth), acoustic backscatter records suggest that sediment in the surficial bed layer evolves from consolidated mud through liquefaction, fluid mud formation, and hindered settling to gelled, under-consolidated mud. Net swell dissipation increases steadily during the storm from negligible prestorm values, consistent with bed softening, but shows no correlation with detectable fluid mud layers. Remarkably, the maximum dissipation rate occurs poststorm, when no fluid mud layers are present. In the waning stage of the storm, the contribution of different wave-forcing processes to wave dissipation is analyzed using an inverse modeling approach based on a nonlinear three-wave interaction model. Although wave-mud interaction dominates dissipative processes, nonlinear three-wave interactions control the shape of the frequency distribution of the dissipation rate. In the wake of the storm, the viscosity values predicted by the inverse modeling converge toward measured values characteristic for gelled mud in a trend that is consistent with a fluid mud entering dewatering and consolidation stages.

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Section: Introductionmentioning

confidence: 99%

Wave-mud interaction over the muddy Atchafalaya subaqueous clinoform, Louisiana, United States: Wave processes

Sheremet

Jaramillo

et al. 2011

J. Geophys. Res.

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“…The observed wavelength is an order of magnitude smaller and the observed amplitude an order of magnitude larger than indicated by a model [Dalrymple and Liu, 1978] in which surface waves over a mud layer of uniform density and viscosity force bound interfacial waves with the same frequency and wavelength as those of the surface waves. The observed frequency of the interfacial waves is twice that produced by a nonlinear mechanism [Hill and Foda, 1996, 1998Jamali et al, 2003aJamali et al, ,2003b, , h, and g 2 1=2 directly, and they estimated q and m by fitting the vertical structure of the measured velocity profiles within the fluid mud to a model with constant density and viscosity, which is the vertically resolved analog of the present layer-averaged model for the undisturbed flow. The distinction between turbulent, transitional, and laminar cases is based on spectra of vertical velocity, which indicate a 25/3 power dependence on frequency, consistent with an inertial subrange, in the turbulent case, with suppression of the inertial range in the transitional and laminar cases.…”

Section: Trowbridge and Traykovski Fluid Muds And Bed Forms 5698mentioning

confidence: 99%

“…The observed wavelength is an order of magnitude smaller and the observed amplitude an order of magnitude larger than indicated by a model [ Dalrymple and Liu , ] in which surface waves over a mud layer of uniform density and viscosity force bound interfacial waves with the same frequency and wavelength as those of the surface waves. The observed frequency of the interfacial waves is twice that produced by a nonlinear mechanism [ Hill and Foda , ; Jamali et al ., ,], in which standing interfacial waves at half the frequency of the progressive surface waves are generated by a triad interaction. The observed interfacial waves are not described by an analysis of Kelvin‐Helmholtz instability in a viscous fluid mud subjected to steady forcing [ Harang et al ., ], as opposed to oscillatory forcing.…”

Section: Introductionmentioning

confidence: 99%

Coupled dynamics of interfacial waves and bed forms in fluid muds over erodible seabeds in oscillatory flows

Trowbridge

Traykovski

2015

JGR Oceans

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Recent field investigations of the damping of ocean surface waves over fluid muds have revealed waves on the interface between the thin layer of fluid mud and the overlying much thicker column of clear water, accompanied by bed forms on the erodible seabed beneath the fluid mud. The frequencies and wavelengths of the observed interfacial waves are qualitatively consistent with the linear dispersion relationship for long interfacial waves, but the forcing mechanism is not known. To understand the forcing, a linear model is proposed, based on the layer‐averaged hydrostatic equations for the fluid mud, together with the Meyer‐Peter‐Mueller equation for the sediment transport within the underlying seabed, both subject to oscillatory forcing by the surface waves. If the underlying seabed is nonerodible and flat, the model indicates parametric instability to interfacial waves, but the threshold for instability is not met by the observations. If the underlying seabed is erodible, the model indicates that perturbations to the seabed elevation in the presence of the oscillatory forcing create interfacial waves, which in turn produce stresses within the fluid mud that force a net transport of sediment within the seabed toward the bed form crests, thus causing growth of both bed forms and interfacial waves. The frequencies, wavelengths, and growth rates are in qualitative agreement with the observations. A competition between mixing created by the interfacial waves and gravitational settling might control the thickness, density, and viscosity of the fluid muds during periods of strong forcing.

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“…Mud has been described as a viscous Newtonian fluid (Dalrymple and Liu, 1978;Ng, 2000;deWitt, 1995); visco-elastic solid (Jiang and Mehta, 1995); visco-plastic Bingham material (Mei and Liu, 1987;Chan and Liu, 2009); or poro-elastic material (Yamamoto and Takahashi, 1985). Other processes, in addition to viscous dissipation in the mud layer, have been hypothesized to contribute to wave damping, such as nonlinear interactions between surface and interfacial waves at the water-mud separation surface (Jamali et al, 2003).…”

Section: Approachmentioning

confidence: 99%

Using Wave-Current Observations to Predict Bottom Sediment Processes on Muddy Beaches

Sheremet¹,

Hsu²

2012

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Asymptotic analysis of a surface-interfacial wave interaction

Cited by 30 publications

References 6 publications

Wave-mud interaction over the muddy Atchafalaya subaqueous clinoform, Louisiana, United States: Wave processes

Wave-mud interaction over the muddy Atchafalaya subaqueous clinoform, Louisiana, United States: Wave processes

Coupled dynamics of interfacial waves and bed forms in fluid muds over erodible seabeds in oscillatory flows

Using Wave-Current Observations to Predict Bottom Sediment Processes on Muddy Beaches

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