鲁西西部区域重磁异常场的分维计算与信息复合

ON FRACTAL DIMENSION COMPUTATION AND INFORMATION COMPOUND OF REGIONAL GRAVITATIONAL AND MAGNETIC ANOMALIES IN WESTERN SHANDONG PROVINCE

本文利用谱分析方法计算了鲁西西部区域重磁异常场的分维数，给出了分维数Ｄ的平面等值线图。通过分析研究，发现所求得的分维数Ｄ的平面等值线图能反映出区域构造的特点，不同计算窗口所求得的Ｄ值不一样，相应的Ｄ值平面等值线图反映出不同深度层次的区域构造格局。利用相同窗口尺寸求得的重磁异常场分维数Ｄ可以进行重磁异常信息复合，本文提出了一种复合方法，并给出了复合结果并作了分析。最后，笔者探讨了区域重磁异常场的分维数的物理意义和这种自仿射分维数大于３的问题。

In this paper, based on Fourier analysis, the fractal dimension of regional gravitational and magnetic anomalies in western Shandon province is computed, and the contour map of fractal dimenxion D is given. It is illustrated that the yielded contour map of fractal dimension D can characterize the regional structures,and that the value D varies, with the shift and size of computational window, and consequently, the corresponding contour map of fractal dimension D depicts the regional structure framework at different depth. The fractal dimension D of gravitational and magnelic anomalies yielded from the windows with identical window size is very likely to be utilized to compound the gravitational and magnetic anomaly information. A new approach to infotmation compound is proposed, and the compound result is shown. Moreover, the pbysical significance of fractal dimension of regional gravitational and magnetic anomalies is discussed, and the problem that the self-affine fractal dimension is larger than 3 is investigated.