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Modelling the Earth's core magnetic field under flow constraints

机译：在流动约束下对地球核心磁场建模

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Two recent magnetic field models, GRIMM and xCHAOS, describe core field accelerations with similar behavior up to Spherical Harmonic (SH) degree 5, but which differ significantly for higher degrees. These discrepancies, due to different approaches in smoothing rapid time variations of the core field, have strong implications for the interpretation of the secular variation. Furthermore, the amount of smoothing applied to the highest SH degrees is essentially the modeler's choice. We therefore investigate new ways of regularizing core magnetic field models. Here we propose to constrain field models to be consistent with the frozen flux induction equation by co-estimating a core magnetic field model and a flow model at the top of the outer core. The flow model is required to have smooth spatial and temporal behavior. The implementation of such constraints and their effects on a magnetic field model built from one year of CHAMP satellite and observatory data, are presented. In particular, it is shown that the chosen constraints are efficient and can be used to build reliable core magnetic field secular variation and acceleration model components.
机译：最近的两个磁场模型GRIMM和xCHAOS描述了直到5级球谐（SH）都具有相似行为的核心场加速度，但对于更高的度，它们却有显着差异。这些差异是由于在平滑核心场的快速时间变化方面采用了不同的方法，对长期变化的解释具有重要意义。此外，应用到最高SH度的平滑量实质上是建模者的选择。因此，我们研究了正则化磁场模型的新方法。在这里，我们建议通过共同估计外层顶部的磁心磁场模型和流动模型来约束场模型，使其与冻结磁通感应方程相一致。要求流动模型具有平稳的空间和时间行为。介绍了这种约束的实现及其对由一年的CHAMP卫星和天文台数据建立的磁场模型的影响。特别地，表明所选择的约束是有效的，并且可以用于建立可靠的芯磁场长期变化和加速度模型分量。

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