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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Effective Rheology and Wave Propagation in the Mar
 ginal Ice Zone - Christian Samspon (University of 
 Utah\; UNC Chapel Hill and RIMS)
DTSTART;TZID=Europe/London:20170912T143000
DTEND;TZID=Europe/London:20170912T150000
UID:TALK78961AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/78961
DESCRIPTION:<span>Co-authors: Ken Golden		(University of Utah)
 \, Ben Murphy		(University of Utah)\, Elena Cherka
 ev		(University of Utah)        <br></span><span><
 br>Wave-ice interactions in the polar oceans compr
 ise a complex but important set of processes influ
 encing sea ice extent\, ice pack albedo\, and ice 
 thickness. In both the Arctic and Antarctic\, the 
 ice floe size distribution in the Marginal Ice Zon
 e (MIZ) plays a central role in the properties of 
 wave propagation. Ocean waves break up and shape t
 he ice floes which\, in turn\, attenuate various w
 ave characteristics. Recently\, continuum models h
 ave been developed which treat the MIZ as a two-co
 mponent composite of ice and slushy water. The top
  layer has been taken to be purely elastic\, purel
 y viscous or viscoelastic. At the heart of these m
 odels are effective parameters\, namely\, the effe
 ctive elasticity\, viscosity\, and complex viscoel
 asticity. In practice\, these effective parameters
 \, which depend on the composite geometry and the 
 physical properties of the constituents\, are quit
 e difficult to determine. To help overcome this li
 mitation\, we employ the methods of homogenization
  theory\, in a quasistatic\, fixed frequency regim
 e\, to find a Stieltjes integral representation fo
 r the complex viscoelasticity. </span>This integra
 l representation involves the spectral measure of 
 a self adjoint operator and provides what we belie
 ve are the first rigorous bounds on the effective 
 viscoelasticity of the sea ice pack. The bounds th
 emselves depend on the moments of the measure whic
 h in turn depend on the geometry of the ice floe c
 onfigurations. This work has the potential to prov
 ide simple parameterizations of wave properties wh
 ich take into account floe concentration and geome
 try. <br>
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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