关键词: 地磁异常场, 多重分形谱, 标度不变性, 逐步插值校正法

Abstract:

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.

Key words: geomagnetic anomaly field, multifractal spectrum, scale invariance, SSICM