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On the estimation of ice thickness from scattering observations

机译：从散射观测值估算冰层厚度

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This paper is inspired by the proposition that it may be possible to extract descriptive physical parameters - in particular the ice thickness, of a sea-ice field from ocean wave information. The motivation is that mathematical theory describing wave propagation in such media has reached a point where the inherent heterogeneity, expressed as pressure ridge keels and sails, leads, thickness variations and changes of material property and draught, can be fully assimilated exactly or through approximations whose limitations are understood. On the basis that leads have the major wave scattering effect for most sea-ice [Williams, T.D., Squire, V.A., 2004. Oblique scattering of plane flexural-gravity waves by heterogeneities in sea ice. Proc. R. Soc. Lon. Ser.-A 460 (2052), 3469-3497], a model two dimensional sea-ice sheet composed of a large number of such features, randomly dispersed, is constructed. The wide spacing approximation is used to predict how wave trains of different period will be affected, after first establishing that this produces results that are very close to the exact solution. Like Kohout and Meylan [Kohout, A.L., Meylan, M.H., 2008. An elastic plate model for wave attenuation and ice floe breaking in the marginal ice zone. J. Geophys. Res. 113, C09016, 10.1029/2007JC004434], we find that on average the magnitude of a wave transmitted by a field of leads decays exponentially with the number of leads. Then, by fitting a curve based on this assumption to the data, the thickness of the ice sheet is obtained. The attenuation coefficient can always be calculated numerically by ensemble averaging but in some cases more rapidly computed approximations work extremely well. Moreover, it is found that the underlying thickness can be determined to good accuracy by the method as long as Archimedean draught is correctly provided for, suggesting that waves can indeed be effective as a remote sensing agent to measure ice thickness in areas where pressure ridges are not sizeable, I.e. away from coastal regions of high deformation.
机译：本文受到这样一种观点的启发，即有可能从海浪信息中提取描述性的物理参数，特别是海冰场的冰厚。其动机是，描述波在这种介质中传播的数学理论已经达到了一个点，即可以精确地或通过近似地完全吸收固有的异质性，如压力脊龙骨和风帆，引线，厚度变化以及材料特性和吃水的变化。局限性被理解。基于铅对大多数海冰具有主要的波散射作用[Williams，T.D.，Squire，V.A.，2004。平面弯曲重力波在海冰中的异质性引起的斜向散射。程序R. Soc。隆[A.S.A 460（2052），3469-3497]，是一种模型二维海冰板，它由大量随机散布的这些特征组成。在首先确定这会产生非常接近精确解的结果之后，使用宽间距近似来预测不同周期的波列将受到怎样的影响。像Kohout和Meylan [Kohout，A.L.，Meylan，M.H.，2008年。弹性板模型，用于边缘冰区的波浪衰减和浮冰破碎。 J.地球物理。 Res。 113，C09016，10.1029 / 2007JC004434]，我们发现平均而言，由导线场传输的波的大小随导线数呈指数衰减。然后，通过基于该假设将曲线拟合到数据，获得冰盖的厚度。衰减系数始终可以通过集合平均计算得出，但在某些情况下，计算更快的近似效果非常好。而且，发现只要正确提供了阿基米德吃水，该方法就可以确定基础厚度的准确性，这表明波浪确实可以有效地用作测量压力脊区域的冰厚的遥感剂。不大，即远离高变形的沿海地区。

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