Role of basic rheological models in determination of wave attenuation over muddy seabeds

Jain, Mamta; Mehta, Ashish J.

doi:10.1016/j.csr.2008.09.008

Cited by 29 publications

(23 citation statements)

References 20 publications

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“…As the density of the mud increases, however, rheological properties change, and the sediment goes through nonlinear transitional regimes (e.g., from viscoelastic fluid to viscoelastic solid [Jain and Mehta, 2009]) characterized by a dependency on the frequency and amplitude of the strain rate _ , e.g., Figure A2. (a) Observed evolution of the significant height of swell and seas (see also Figure 3a) and SWAN simulations of (b) swell dissipation (equation (3)) and (c) frequency integrated active source terms at T2 (quadruplets are integrated in absolute value) versus time.…”

Section: Appendix B: Stochastic Nonlinear Wave Propagation Modelmentioning

confidence: 99%

“…in the laboratory and in field cores taken after storms [see, e.g., Elgar and Raubenheimer, 2008;Robillard, 2009], is probably best characterized as either a viscoelastic fluid or solid, depending on its characteristic Peclet number and fractional volume of solids (see Appendix C [also Jain and Mehta, 2009]). However, rather than speculate on the properties of this state, we will refer it using the nonspecific terms of "soft", or "under-consolidated" bed ( Figure 3).…”

Section: Observationsmentioning

confidence: 99%

“…If given enough time, the bed eventually recovers to the prestorm solid state. Jain and Mehta [2009] proposed a classification of the range of applicability of different rheological models based on the characterization of sediments using the Peclet number and the fractional volume of solids. Although their goal was slightly different, their Figure 11 can be read as a map of possible states sediment can go through during a storm.…”

Section: Introductionmentioning

confidence: 99%

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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: Appendix B: Stochastic Nonlinear Wave Propagation Modelmentioning

confidence: 99%

Section: Observationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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 use of the algebraic relation ̇= , and the comparison of (30) and (31), led historically to wide use [40,60,61] of: * = − * ,…”

Section: Linear Expressions Of Anderson and Hampton (1980)mentioning

confidence: 99%

Acoustic wave propagation in gassy porous marine sediments: The rheological and the elastic effects

Doğan

White

Leighton

2017

The Journal of the Acoustical Society of America

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Abstract:The preceding paper in this series [Mantouka et al., J. Acoust. Soc. Am. 140, 274 (2016)] presented a nonlinear model for acoustic propagation in gassy marine sediments, the baseline for which was established by Leighton [Geo. Res. Let., 34, L17607 (2007)]. The current paper aims further advancement on those two studies by demonstrating the particular effects of the sediment rheology, the dispersion and dissipation of the first compressional wave, and the higher order re-scattering from other bubbles. Sediment rheology is included through the sediment porosity and the definition of the contact interfaces of bubbles with the solid grains and the pore water.The intrinsic attenuation and the dispersion of the compressional wave are incorporated using the effective fluid density model [Williams, J. Acoust. Soc. Am. 110, 2276(2001] for the far field (fully water-saturated sediment). The multiple scattering from other bubbles is included using the method of Kargl [J. Acoust. Soc. Am. 11, 168 (2002)]. The overall nonlinear formulation is then reduced to the linear limit in order to compare with the linear theory of Anderson and Hampton [J. Acoust. Soc. Am. 67, 1890], and the results for the damping coefficients, the sound speed and the attenuation are presented. Powered by Editorial Manager® and ProduXion Manager® from Aries Systems Corporation

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“…The shear viscosity of the sediment is then deduced from the imaginary part of the shear modulus (equivalently from shear wave attenuation) [52,69,53,72]:…”

Section: B Viscoelastic Constitutive Relationmentioning

confidence: 99%

Modelling acoustic scattering, sound speed, and attenuation in gassy soft marine sediments

Mantouka

Doğan

White

et al. 2016

The Journal of the Acoustical Society of America

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A model for nonlinear gas bubble pulsation in marine sediments is presented. This model is then linearized to determine the resonance frequency and the damping terms for linear radial oscillations. The linear model is then used to predict the effects that such bubble pulsations will have on the sound speed and attenuation of acoustic waves propagating in gassy marine sediment. The results are compared for monodisperse populations against the predictions of a model of Anderson and Hampton and, furthermore, the additional abilities of the new model are discussed. These features include the removal of the sign ambiguities in the expressions, the straightforward implementation for acoustic propagation through polydisperse bubble populations, the capability to estimate bubble size distributions through a full acoustic inversion, and the capability to predict nonlinear effects.

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Role of basic rheological models in determination of wave attenuation over muddy seabeds

Cited by 29 publications

References 20 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

Acoustic wave propagation in gassy porous marine sediments: The rheological and the elastic effects

Modelling acoustic scattering, sound speed, and attenuation in gassy soft marine sediments

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