Two- and three-dimensional models are proposed for ocean-wave attenuation due to scattering by ice floes in the marginal ice zone, in which the attenuation rate depends on the horizontal size of the individual floes. The scattering models are shown to reproduce the behaviour of wave attenuation over short wave periods. However, it is shown that scattering alone cannot explain the observed asymptotic dependence of attenuation at long wave periods. Based on these findings, it is proposed that attenuation models consist of a scattering component supplemented by an empirical damping term based on measurements, so that attenuation over all periods is correctly modelled. Computer code to calculate wave attenuation through a field of ice floes is provided in the supplementary material.

针对边缘冰区中由于浮冰的散射而引起的海浪衰减，提出了二维和三维模型，其中衰减率取决于各个浮子的水平尺寸。散射模型显示出可重现短波周期内的波衰减行为。然而，已经表明，仅散射不能解释观察到的长波周期衰减的渐近依赖性。基于这些发现，建议衰减模型由散射分量组成，并辅之以基于测量的经验阻尼项，以便对所有周期的衰减进行正确建模。补充材料中提供了计算机代码，用于计算通过一块浮冰的波衰减。