Analysis of geomagnetic data using wavelet frames

使用小波框架分析地磁数据

• 批准号: 5444159
• 负责人: Professor Dr. Matthias Holschneider
• 金额: --
• 依托单位: Institut für Mathematik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2005
• 资助国家: 德国
• 起止时间: 2004-12-31 至 2009-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5444159?language=en
• 关键词: Analysis; geomagnetic; data; using; wavelet

The aim of this proposal is to establish frames of spherical wavelets as a versatile modelling tool in geomagnetism. We plan to develop a global and regional magnetic field modelling method which can take into account the very inhomogeneous distribution of ground-based geomagnetic measurements together with the more homogeneously distributed data provided by satelite measurements. The emphasis of this project is on the geophysical implementation of the by now well established mathematical technique called wavelet frames. The improvement compared to the commonly used method of spherical harmonic analysis is the essentially regional support of basis functions. It will allow high resolution in areas covered well by data while avoiding spurious structure in sparsely covered regions. By now improvements of this method could be shown for scalar data and first results for vector data could be obtained. The tasks projected in this proposal are optimizing (grid, degree, scales) the frames obtained so far to improve specific field representation, studying the feasability of regional modelling using local wavelet frames, incorporating magnetospheric sources in field models and incorporating time dependency and non-linear data (e.g. intensity measurements).

这个建议的目的是建立一个通用的建模工具，在地磁球面小波框架。我们计划开发一种全球和区域磁场建模方法，该方法可以考虑到地面地磁测量数据分布非常不均匀，以及卫星测量数据分布更均匀。这个项目的重点是对地球物理的实施，现在已经建立了良好的数学技术称为小波框架。与常用的球谐分析方法相比，改进之处在于基函数的区域支持。它将允许在数据覆盖良好的地区实现高分辨率，同时避免在覆盖稀疏的地区出现虚假结构。到目前为止，这种方法的改进可以显示为标量数据和矢量数据的第一个结果可以得到。本提案中预计的任务是优化（网格、度、尺度）迄今为止获得的框架，以改进具体的场表示，研究使用局部小波框架进行区域建模的可行性，将磁层源纳入场模型，并纳入时间依赖性和非线性数据（例如强度测量）。

项目成果

New insights on intraplate volcanism in French Polynesia from wavelet analysis of GRACE, CHAMP, and sea surface data

• DOI: 10.1029/2005jb004141
• 发表时间: 2006-09
• 期刊: Journal of Geophysical Research
• 作者: I. Panet;A. Chambodut;M. Diament;M. Holschneider;O. Jamet