Multifractal spectrum analysis and mapping method of 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 Oceanic and Atmospheric Administration), and make a multifractal spectrum analysis based 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 estimates its property value with Kriging interpolation method, then conducts singularity correction according to scale invariance in small scale range of geomagnetic anomaly field, thereby building reference map in gridding format stepwise. Experimental result proves that compared with the traditional methods, SSICM could portray small scale singular characteristics more exactly and reconstruct geomagnetic anomaly field more precisely.