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1975年美国地球物理刊物《Geophysics》第40卷第6期发表了A．Gerard和N．Debeglia的文章——重力与磁力异常自动解释的三维模型,文章给出了重磁单界面频率域迭代反演方法。该方法是正确的。但文章前半部给出的求解连续型磁性单界面的磁化强度J和平均埋深h的方法(简称“概率统计方法”)却是不成立的。为了论证我们的观点,先来阐述界面反演的无穷多解性和获得唯一解的条件,指出J、h值只能给定,不能求取;然后,再分析“概率统计”方法本身在初始假设上的失误。
In 1975, the American geophysical publication “Geophysics” Vol. 40 No. 6 published A. Gerard and N. Debeglia’s article - A 3D model of automatic interpretation of gravity and magnetic anomalies, gives an iterative inversion method for the frequency domain of gravity-magnetic single interface. This method is correct. However, the method given in the first half of the paper for solving the magnetization J and the average depth h of a continuous magnetic single interface (“Probabilistic Statistical Method”) is not valid. In order to demonstrate our point of view, we first describe the conditions of infinite solvability and unique solution of interface inversion, and point out that J and h can only be given and can not be calculated. Then, the method of “probability and statistics” Hypothesis error.