冰隆的三维诊断性各向异性场建模

A. Clara J. Henry, Carlos Martín, Reinhard Drews
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引用次数: 0

摘要

极地冰在变形过程中会形成各向异性的晶体取向结构,然而冰通常被模拟为各向同性流体。我们利用与固定速度场相对应的晶体取向十次旋转方程,对德威尔冰隆(包括周围冰架)的晶体取向结构进行了三维模拟。我们使用了一种半拉格朗日数值方法,该方法限制了晶体取向演变的程度,以求解复杂流动区域的方程。我们在先前研究的基础上进行了四次模拟,改变了晶体各向异性的演变速度及其对应变率和偏差应力张量组合的依赖性。我们提供了一个与雷达观测到的各向异性场进行比较的框架,概述了一个垂直特征向量假设可能不成立的区域,并提供了由此产生的特征值测量误差。我们认为,流场末端的高水平发散区域是与观测结果进行比较的重要区域。这些结果对于规划未来收集数据以约束模型参数的活动非常重要,也是观测数据与计算效率高的各向异性简化模型之间的纽带。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Modelling the three-dimensional, diagnostic anisotropy field of an ice rise
Polar ice develops anisotropic crystal orientation fabrics under deformation, yet ice is most often modelled as an isotropic fluid. We present three-dimensional simulations of the crystal orientation fabric of Derwael Ice Rise including the surrounding ice shelf using a crystal orientation tensor evolution equation corresponding to a fixed velocity field. We use a semi-Lagrangian numerical method that constrains the degree of crystal orientation evolution to solve the equations in complex flow areas. We perform four simulations based on previous studies, altering the rate of evolution of the crystal anisotropy and its dependence on a combination of the strain rate and deviatoric stress tensors. We provide a framework for comparison with radar observations of the anisotropy field, outlining areas where the assumption of one vertical eigenvector may not hold and provide resulting errors in measured eigenvalues. We recognise the areas of high horizontal divergence at the ends of the flow divide as important areas to make comparisons with observations. Here, poorly constrained model parameters result in the largest difference in fabric type. These results are important in the planning of future campaigns for gathering data to constrain model parameters and as a link between observations and computationally-efficient, simplified models of anisotropy.
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