冰覆盖的海洋中波浪衰减的多孔粘弹性模型的评估
Assessment of a porous viscoelastic model for wave attenuation in ice-covered seas
摘要：
Chen等人（Eur. J. Mech. B/Fluids 78，pp. 88-105，2019）最近提出了一个二维连续模型的线性重力波在冰覆盖的海洋中传播。它是基于一个两层的配方，冰盖被视为一个多孔的粘弹性介质。在本文中，对实验室实验和现场观测进行了广泛的测试，以评估该模型的能力，在描述波衰减在各种类型的海冰。通过误差最小化和相应的色散关系的数值解的衰减率的数据拟合的理论预测。与其他现有的粘弹性理论的详细比较。有效的流变参数，如剪切模量和运动粘度的估计得到的拟合，并发现显着不同的模型。对于这种多孔弹性系统，估计值的范围原来是相对狭窄的数量级在所有的情况下考虑。对来自北冰洋的现场测量，该模型能够合理地再现衰减率的翻转作为频率的函数。鉴于在这样的配方中的物理参数的数量相当大，灵敏度分析也进行了测量的相关性的一组代表性的衰减过程。
英文摘要：
Chen et al. (Eur. J. Mech. B/Fluids 78, pp. 88-105, 2019) recently proposed a two-dimensional continuum model for linear gravity waves propagating in ice-covered seas. It is based on a two-layer formulation where the ice cover is viewed as a porous viscoelastic medium. In the present paper, extensive tests against both laboratory experiments and field observations are performed to assess this model's ability at describing wave attenuation in various types of sea ice. The theoretical predictions are fitted to data on attenuation rate via error minimization and numerical solution of the corresponding dispersion relation. Detailed comparison with other existing viscoelastic theories is also presented. Estimates for effective rheological parameters such as shear modulus and kinematic viscosity are obtained from the fits and are found to vary significantly among the models. For this poroelastic system, the range of estimated values turns out to be relatively narrow in orders of magnitude over all the cases considered. Against field measurements from the Arctic Ocean, this model is able to reasonably reproduce the roll-over of attenuation rate as a function of frequency. Given the rather large number of physical parameters in such a formulation, a sensitivity analysis is also conducted to gauge the relevance of a representative set of them to the attenuation process.
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