Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models

<p>We investigate a case of ocean waves through a pack ice cover captured by Sentinel-1A synthetic aperture radar (SAR) on 12 October 2015 in the Beaufort Sea. The study domain is 400&thinsp;km by 300&thinsp;km, adjacent to a marginal ice zone (MIZ). The wave spectra in this domain wer...

Full description

Bibliographic Details
Main Authors: S. Cheng, J. Stopa, F. Ardhuin, H. H. Shen
Format: Article
Language:English
Published: Copernicus Publications 2020-06-01
Series:The Cryosphere
Online Access:https://tc.copernicus.org/articles/14/2053/2020/tc-14-2053-2020.pdf
_version_ 1818258719079661568
author S. Cheng
S. Cheng
J. Stopa
F. Ardhuin
H. H. Shen
author_facet S. Cheng
S. Cheng
J. Stopa
F. Ardhuin
H. H. Shen
author_sort S. Cheng
collection DOAJ
description <p>We investigate a case of ocean waves through a pack ice cover captured by Sentinel-1A synthetic aperture radar (SAR) on 12 October 2015 in the Beaufort Sea. The study domain is 400&thinsp;km by 300&thinsp;km, adjacent to a marginal ice zone (MIZ). The wave spectra in this domain were reported in a previous study (Stopa et al., 2018b). In that study, the authors divided the domain into two regions delineated by the first appearance of leads (FAL) and reported a clear change of wave attenuation of the total energy between the two regions. In the present study, we use the same dataset to study the spectral attenuation in the domain. According to the quality of SAR-retrieved wave spectrum, we focus on a range of wave numbers corresponding to 9–15&thinsp;s waves from the open-water dispersion relation. We first determine the apparent attenuation rates of each wave number by pairing the wave spectra from different locations. These attenuation rates slightly increase with increasing wave number before the FAL and become lower and more uniform against wave number in thicker ice after the FAL. The spectral attenuation due to the ice effect is then extracted from the measured apparent attenuation and used to calibrate two viscoelastic wave-in-ice models. For the Wang and Shen (2010b) model, the calibrated equivalent shear modulus and viscosity of the pack ice are roughly 1 order of magnitude greater than that in grease and pancake ice reported in Cheng et al. (2017). These parameters obtained for the extended Fox and Squire model are much greater, as found in Mosig et al. (2015) using data from the Antarctic MIZ. This study shows a promising way of using remote-sensing data with large spatial coverage to conduct model calibration for various types of ice cover.<br/><br/><strong>Highlights.</strong> Three key points: </p><ol><li> <p id="d1e139">The spatial distribution of wave number and spectral attenuation in pack ice are analyzed from SAR-retrieved surface wave spectra.</p></li><li> <p id="d1e143">The spectral attenuation rate of 9–15&thinsp;s waves varies around 10<span class="inline-formula"><sup>−5</sup></span>&thinsp;m<span class="inline-formula"><sup>2</sup></span>&thinsp;s<span class="inline-formula"><sup>−1</sup></span>, with lower values in thicker semicontinuous ice fields with leads.</p></li><li> <p id="d1e180">The calibrated viscoelastic parameters are greater than those found in pancake ice.</p></li></ol>
first_indexed 2024-12-12T18:04:00Z
format Article
id doaj.art-b81a12a33a764b14b865bd770557d812
institution Directory Open Access Journal
issn 1994-0416
1994-0424
language English
last_indexed 2024-12-12T18:04:00Z
publishDate 2020-06-01
publisher Copernicus Publications
record_format Article
series The Cryosphere
spelling doaj.art-b81a12a33a764b14b865bd770557d8122022-12-22T00:16:33ZengCopernicus PublicationsThe Cryosphere1994-04161994-04242020-06-01142053206910.5194/tc-14-2053-2020Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice modelsS. Cheng0S. Cheng1J. Stopa2F. Ardhuin3H. H. Shen4Nansen Environmental and Remote Sensing Center, Bergen, NorwayDepartment of Civil and Environmental Engineering, Clarkson University, Potsdam, NY, USADepartment of Ocean and Resources Engineering, University of Hawaii, Mānoa, HI, USAUniv. Brest, CNRS, IRD, Ifremer, Laboratoire d'Océanographie Physique et Spatiale (LOPS), IUEM, Brest, FranceDepartment of Civil and Environmental Engineering, Clarkson University, Potsdam, NY, USA<p>We investigate a case of ocean waves through a pack ice cover captured by Sentinel-1A synthetic aperture radar (SAR) on 12 October 2015 in the Beaufort Sea. The study domain is 400&thinsp;km by 300&thinsp;km, adjacent to a marginal ice zone (MIZ). The wave spectra in this domain were reported in a previous study (Stopa et al., 2018b). In that study, the authors divided the domain into two regions delineated by the first appearance of leads (FAL) and reported a clear change of wave attenuation of the total energy between the two regions. In the present study, we use the same dataset to study the spectral attenuation in the domain. According to the quality of SAR-retrieved wave spectrum, we focus on a range of wave numbers corresponding to 9–15&thinsp;s waves from the open-water dispersion relation. We first determine the apparent attenuation rates of each wave number by pairing the wave spectra from different locations. These attenuation rates slightly increase with increasing wave number before the FAL and become lower and more uniform against wave number in thicker ice after the FAL. The spectral attenuation due to the ice effect is then extracted from the measured apparent attenuation and used to calibrate two viscoelastic wave-in-ice models. For the Wang and Shen (2010b) model, the calibrated equivalent shear modulus and viscosity of the pack ice are roughly 1 order of magnitude greater than that in grease and pancake ice reported in Cheng et al. (2017). These parameters obtained for the extended Fox and Squire model are much greater, as found in Mosig et al. (2015) using data from the Antarctic MIZ. This study shows a promising way of using remote-sensing data with large spatial coverage to conduct model calibration for various types of ice cover.<br/><br/><strong>Highlights.</strong> Three key points: </p><ol><li> <p id="d1e139">The spatial distribution of wave number and spectral attenuation in pack ice are analyzed from SAR-retrieved surface wave spectra.</p></li><li> <p id="d1e143">The spectral attenuation rate of 9–15&thinsp;s waves varies around 10<span class="inline-formula"><sup>−5</sup></span>&thinsp;m<span class="inline-formula"><sup>2</sup></span>&thinsp;s<span class="inline-formula"><sup>−1</sup></span>, with lower values in thicker semicontinuous ice fields with leads.</p></li><li> <p id="d1e180">The calibrated viscoelastic parameters are greater than those found in pancake ice.</p></li></ol>https://tc.copernicus.org/articles/14/2053/2020/tc-14-2053-2020.pdf
spellingShingle S. Cheng
S. Cheng
J. Stopa
F. Ardhuin
H. H. Shen
Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
The Cryosphere
title Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
title_full Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
title_fullStr Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
title_full_unstemmed Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
title_short Spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave-in-ice models
title_sort spectral attenuation of ocean waves in pack ice and its application in calibrating viscoelastic wave in ice models
url https://tc.copernicus.org/articles/14/2053/2020/tc-14-2053-2020.pdf
work_keys_str_mv AT scheng spectralattenuationofoceanwavesinpackiceanditsapplicationincalibratingviscoelasticwaveinicemodels
AT scheng spectralattenuationofoceanwavesinpackiceanditsapplicationincalibratingviscoelasticwaveinicemodels
AT jstopa spectralattenuationofoceanwavesinpackiceanditsapplicationincalibratingviscoelasticwaveinicemodels
AT fardhuin spectralattenuationofoceanwavesinpackiceanditsapplicationincalibratingviscoelasticwaveinicemodels
AT hhshen spectralattenuationofoceanwavesinpackiceanditsapplicationincalibratingviscoelasticwaveinicemodels