Abstract
Abstract A two-dimensional continuum model is proposed for linear gravity waves propagating across ice-covered seas. It is based on a two-layer formulation where the floating sea ice is described as a homogeneous isotropic poroelastic material and the underlying ocean is viewed as a weakly compressible fluid. Dissipative effects are taken into account by including viscosity in rheological properties of the ice layer. An exact dispersion relation is derived for traveling wave solutions of this coupled system and numerical estimates are obtained for its complex roots. Extensive tests are conducted to examine the dependence of results on various parameters in both the porous and non-porous cases. Detailed comparison with existing viscoelastic models is provided, and good agreement on both wave dispersion and attenuation is found. In the porous case with friction, a non-monotonic behavior is observed for the attenuation rate as a function of frequency, which is reminiscent of the roll-over phenomenon that has been reported in field observations.
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