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井中磁化率测井分析和航磁数据分析结果表明,地壳中的三维磁场可描述成分维磁场。这种特性可用于磁力解释,磁力解释需要有关磁场空间变化方面的统计信息。尤其是,利用克里格法对航磁数据作向下延拓和网格化可估计磁源的深度。当磁力数据向下延拓到能量谱拉平的深度时,我们就能估计出磁源体顶面的分布。这种方法假设各个磁源体之间不相关。我们用分维描述法考虑磁场的相关性后,得到的磁源体深度估计就要小些,用克里格法对随机分布的磁测量数据进行网格化时需要数据的协方差估计值。与磁源体不相关假设的方法相比,这种克里格网格化分维协方差估计能更真实地反映地下磁场的统计特性,利用这种方法能得到平滑度更合理的图像。
Wells magnetic susceptibility log analysis and aeromagnetic data analysis show that the three-dimensional magnetic field in the crust can be described as a component of the magnetic field. This property can be used for magnetic interpretation, and magnetic interpretation requires statistical information about changes in the magnetic field. In particular, the use of the kriging method to aeromagnetic data for downward continuation and meshing can estimate the depth of the magnetic source. As the magnetic data continues down the depth of the energy spectrum, we can estimate the distribution of the top surface of the magnet body. This method assumes that there is no correlation between individual magnet source bodies. When we consider the correlation of the magnetic field by using the fractal dimension method, the depth of the magnetic source body obtained is smaller, and the covariance estimation of the data is needed when the randomized magnetic measurement data is gridded by the kriging method. Compared with the method of irrelevant magnet source body, the fractal dimension covariance estimation of Kriging mesh can more truly reflect the statistical properties of the underground magnetic field. By this method, the image with more reasonable smoothness can be obtained.