标题： 关于有限深度水中随机变化厚度的破碎冰层对波的衰减 显示英文标题

标题： On the attenuation of waves through broken ice of randomly-varying thickness on water of finite depth

摘要： 最近Dafydd和Porter [2024]关于通过随机厚度的浮动碎冰传播的波的衰减的研究被扩展，以考虑非浅水深度的情况。 对破碎浮动冰的理论模型进行了分析，使用多尺度分析来提供波在从恒定厚度冰区域传播到厚度为距离的缓慢变化随机函数的半无限区域时的衰减的显式表达式。 理论预测与从在缓坡假设下推导出的近似深度平均模型计算的随机变化厚度冰的长有限区域的散射数值模拟结果进行比较，显示出良好的一致性。 该理论预测低频衰减与频率的八次方成正比，并在较高频率处出现滚降效应。 讨论了结果与现场测量之间的关系。 显示英文摘要

摘要： The recent work of Dafydd and Porter [2024] on the attenuation of waves propagating through floating broken ice of random thickness is extended to consider water of non-shallow depth. A theoretical model of broken floating ice is analysed using a multiple scales analysis to provide an explicit expression for the attenuation of waves as they propagate from a region of constant thickness ice into a semi-infinite region of ice whose thickness is a slowly-varying random function of distance. Theoretical predictions are shown to compare well to numerical simulations of scattering over long finite regions of ice of randomly-varying thickness computed from an approximate depth-averaged model derived under a mild-slope assumption. The theory predicts a low-frequency attenuation proportional to the eighth power of frequency and a roll-over effect at higher frequencies. The relationship between the results and field measurements are discussed.