一种基于地磁异常场的多重分形谱分析及构图方法

为深入研究地磁异常场的分布特性，并将其应用于地磁基准图的构建当中，选取NOAA（National Geophysical Data Center）发布的地磁异常场数据进行了多重分形谱分析，证明了地磁异常场具有明显的多重分形特征。并将多重分形理论与克里金插值方法相结合，提出逐步插值校正法（SSICM），该方法在用克里金法估计未知位置点属性值的同时，利用地磁异常场在小尺度范围内的标度不变性对其进行奇异性校正，在实测数据基础上以网格形式逐级加密，从而构建基准图。实验结果证明与传统方法相比，该方法能够充分刻画地磁异常场的小尺度奇异特征，更加精确地重构真实地磁异常场。

A Multifractal Spectrum Analysis and Mapping Method Based on Geomagnetic Anomaly Field

To make a deep study on the distributing characteristics of geomagnetic anomaly field and apply it to the building of geomagnetic reference map, selecting several group of geomagnetic anomaly field data published by NOAA (National Geophysical Data Center), and make a multifractal spectrum analysis base on them, it proves that geomagnetic anomaly field has apparent multifractal characteristics. Combining multifractal theory with Kriging method, putting forward the Step-by-Step Interpolation and Correction Method(SSICM), for a unknown position, this method firstly estimate its property value with Kriging method, then singularity correction is conducted according to scale invariance in small scale range of geomagnetic anomaly field, building reference map in gridding format step by step. Experimental result proves that compared with the traditional method, SSICM could portray small scale singular characteristics more exactly and reconstruct geomagnetic anomaly field more precisely.