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An investigation into the dispersion of ocean surface waves in sea ice

机译：海洋表面波在海冰中的扩散研究

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This investigation considers theoretical models and empirical studies related to the dispersion of ocean surface gravity waves propagating in ice covered seas. In theory, wave dispersion is related to the mechanical nature of the ice. The change of normalized wavenumber is shown for four different dispersion models: the mass-loading model, an elastic plate model, an elastic plate model extended to include dissipation, and a viscous-layer model. For each dispersion model, model parameters are varied showing the dependence of deviation from open water dispersion on ice thickness, elasticity, and viscosity. In all cases, the deviation of wavenumber from the open water relation is more pronounced for higher frequencies. The effect of mass loading, a component of all dispersion models, tends to shorten the wavelength. The Voigt model of dissipation in an elastic plate model does not change the wavelength. Elasticity in the elastic plate model and viscosity in the viscous-layer model tend to increase the wavelength. The net effect, lengthening or shortening, is a function of the particular combination of ice parameters and wave frequency. Empirical results were compiled and interpreted in the context of these theoretical models of dispersion. A synopsis of previous measurements is as follows: observations in a loose pancake ice in the marginal ice zone, often, though not always, showed shortened wavelengths. Both lengthening and shortening have been observed in compact pancakes and pancakes in brash ice. Quantitative matches to the flexural-gravity model have been found in Arctic interior pack ice and sheets of fast ice.
机译：这项研究考虑了与在冰覆盖海域中传播的海洋表面重力波的弥散有关的理论模型和经验研究。从理论上讲，波的散布与冰的机械性质有关。示出了针对四种不同色散模型的归一化波数的变化：质量载荷模型，弹性板模型，扩展为包括耗散的弹性板模型和粘性层模型。对于每个分散模型，模型参数都会变化，显示出与开放水分散体的偏差对冰厚度，弹性和粘度的依赖性。在所有情况下，对于更高的频率，波数与开放水域关系的偏差都更加明显。质量负载的影响是所有色散模型的组成部分，往往会缩短波长。弹性板模型中的Voigt耗散模型不会改变波长。弹性板模型中的弹性和粘性层模型中的粘度倾向于增加波长。最终效果（延长或缩短）是冰参数和波浪频率的特定组合的函数。在这些分散理论模型的背景下，对经验结果进行了汇编和解释。先前测量的摘要如下：在边缘冰区的一块松散的煎饼冰中观察到的波长通常（尽管并非总是如此）显示出较短的波长。在紧实的煎饼和在冰上的煎饼中都观察到了延长和缩短。在北极内部冰块和速冻冰块中发现了与弯曲重力模型的定量匹配。

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