A Scaling for Wave Dispersion Relationships in Ice‐Covered Waters

Yu, Jie; Rogers, W. Erick; Wang, David W.

doi:10.1029/2018jc014870

Cited by 12 publications

(7 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This point is likely defined by the frequency at which the elastic effects of the ice dominate the modification of the wave speed in the ice (Fox and Haskell, 2001;Collins et al, 2017). A correlation between wave attenuation rates and ice thickness was also observed by Doble et al (2015) and Rogers et al (2021), for pancake and broken pack ice, and considered by Yu et al (2019) more generally for both wave dispersion and dissipation.…”

Section: Discussionmentioning

confidence: 81%

Wave dispersion and dissipation in landfast ice: comparison of observations against models

Voermans

Liu

Marchenko³

et al. 2021

The Cryosphere

View full text Add to dashboard Cite

Abstract. Observations of wave dissipation and dispersion in sea ice are a necessity for the development and validation of wave–ice interaction models. As the composition of the ice layer can be extremely complex, most models treat the ice layer as a continuum with effective, rather than independently measurable, properties. While this provides opportunities to fit the model to observations, it also obscures our understanding of the wave–ice interactive processes; in particular, it hinders our ability to identify under which environmental conditions these processes are of significance. Here, we aimed to reduce the number of free variables available by studying wave dissipation in landfast ice. That is, in continuous sea ice, such as landfast ice, the effective properties of the continuum ice layer should revert to the material properties of the ice. We present observations of wave dispersion and dissipation from a field experiment on landfast ice in the Arctic and Antarctic. Independent laboratory measurements were performed on sea ice cores from a neighboring fjord in the Arctic to estimate the ice viscosity. Results show that the dispersion of waves in landfast ice is well described by theory of a thin elastic plate, and such observations could provide an estimate of the elastic modulus of the ice. Observations of wave dissipation in landfast ice are about an order of magnitude larger than in ice floes and broken ice. Comparison of our observations against models suggests that wave dissipation is attributed to the viscous dissipation within the ice layer for short waves only, whereas turbulence generated through the interactions between the ice and waves is the most likely process for the dissipation of wave energy for long periods. The separation between short and long waves in this context is expected to be determined by the ice thickness through its influence on the lengthening of short waves. Through the comparison of the estimated wave attenuation rates with distance from the landfast ice edge, our results suggest that the attenuation of long waves is weaker in comparison to short waves, but their dependence on wave energy is stronger. Further studies are required to measure the spatial variability of wave attenuation and measure turbulence underneath the ice independently of observations of wave attenuation to confirm our interpretation of the results.

show abstract

Section: Discussionmentioning

confidence: 81%

Wave dispersion and dissipation in landfast ice: comparison of observations against models

Voermans

Liu

Marchenko³

et al. 2021

The Cryosphere

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 81%

Wave dispersion and dissipation in landfast ice: comparison of observations against models

Voermans

Liu

Marchenko³

et al. 2021

Preprint

View full text Add to dashboard Cite

Abstract. Observations of wave dissipation and dispersion in sea ice are a necessity for the development and validation of wave-ice interaction models. As the composition of the ice layer can be extremely complex, most models treat the ice layer as a continuum with effective, rather than independently measurable, properties. While this provides opportunities to fit the model to observations, it also obscures our understanding of the wave-ice interactive processes, particularly, it hinders our ability to identify under which environmental conditions these processes are of significance. Here, we aimed to reduce the number of free variables available by studying wave dissipation in landfast ice. That is, in continuous sea ice, such as landfast ice, the effective properties of the continuum ice layer should revert to the material properties of the ice. We present observations of wave dispersion and dissipation from a field experiment on landfast ice in the Arctic and Antarctic. Independent laboratory measurements were performed on sea ice cores from a neighbouring fjord in the Arctic to estimate the ice viscosity. Results show that the dispersion of waves in landfast ice is well described by theory of a thin elastic plate and such observations could provide an estimate of the elastic modulus of the ice. Observations of wave dissipation in landfast ice are about an order of magnitude larger than in ice floes and broken ice. Comparison of our observations against models suggests that wave dissipation is attributed to the viscous dissipation within the ice layer for short waves only, whereas turbulence generated through the interactions between the ice and waves is the most likely process for the dissipation of wave energy for long periods. The separation between short and long waves in this context is expected to be determined by the ice thickness through its influence on the lengthening of short waves. Further studies are required to measure turbulence underneath the ice independently of observations of wave attenuation to confirm our interpretation of the results.

show abstract

“…Non-dimensional numbers have been previously presented by different authors, concerted with the field wave-mud or waveice interaction (Jain and Mehta, 2009;Yu et al, 2019). The first non-dimensional number represents the non-dimensional…”

Section: Non-dimensional Representationmentioning

confidence: 99%

A Collection of Wet Beam Models for Wave-Ice Interaction

Tavakoli

Babanin

2022

Preprint

View full text Add to dashboard Cite

Abstract. Theoretical models for the prediction of decay rate and dispersion process of gravity waves traveling into an integrated ice cover are introduced. The term “wet beam” is chosen to refer to these models as they are developed by incorporating water-based radiation forces, including heave damping and added mass, which are absent in most conventional models. Presented wet beam models differ from each other according to the rheological behavior considered for the ice cover. Two-parameter viscoelastic solid models accommodating Kelvin-Voigt (KV) and Maxwell mechanisms along with a one-parameter elastic solid model are used to describe the rheological behavior of the ice layer. Quantitative comparison between the landfast ice field data and model predictions suggests that wet beam models, adopted with both KV and Maxwell mechanisms, predict the decay rate more accurately compared to a dry beam model. Furthermore, the wet beam models, adopted with both KV and Maxwell mechanisms, are found to construct decay rates of disintegrated ice fields, though they are built for a continuous ice field. Finally, it is found that wet beam models can accurately construct decay rate curves of freshwater ice, though they cannot predict the dispersion process of waves accurately. To overcome this limitation, three-parameter solid models, termed Standard Linear Solid (SLS) mechanisms, are suggested to be used to re-formulate the dispersion relationship of wet beam models, which were seen to construct decay rates and dispersion curves of freshwater ice with an acceptable level of accuracy. Overall, the two-parameters wet beam dispersion relationships presented in this research are observed to predict decay rates and dispersion process of waves travelling into actual ice covers, though three-parameter wet beam models were seen to reconstruct the those of freshwater ice formed in a wave flume.

show abstract

A Scaling for Wave Dispersion Relationships in Ice‐Covered Waters

Cited by 12 publications

References 28 publications

Wave dispersion and dissipation in landfast ice: comparison of observations against models

Wave dispersion and dissipation in landfast ice: comparison of observations against models

Wave dispersion and dissipation in landfast ice: comparison of observations against models

A Collection of Wet Beam Models for Wave-Ice Interaction

Contact Info

Product

Resources

About