位场垂向高阶导数的Tikhonov正则化迭代法

doi:10.13278/j.cnki.jjuese.20170246

Abstract

Abstract: In potential field data processing, high-order vertical derivative has important physical significance. It can divide superimposed anomalies generated by sources with different depth and size. With the order increase of the derivative, the resolution becomes higher, however the calculation of the higher order derivative is unstable. In this study we proposed the Tikhonov regularization iteration method for high-order vertical derivatives based on the combination of Tikhonov regularization method and iteration method,and obtained the recursive formula of Tikhonov regularization iterative method. Through analyzing the filter characteristics of the method, we can see that the method has certain stability and amplitude preservation in the calculation of high-order vertical derivative. The results of the model test and the real data show that the stability and practical value of the method are higher than that of the routine FFT method.

Key words: Tikhonov regularization, iteration method, potential field, vertical derivative

CLC Number:

P631.1

Du Wei, Xu Jiashu, Wu Yangang, Hao Mengcheng. Tikhonov Regularization Iteration Method for High-Order Vertical Derivatives of Potential Field[J].Journal of Jilin University(Earth Science Edition), 2018, 48(2): 394-401.

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Tikhonov Regularization Iteration Method for High-Order Vertical Derivatives of Potential Field

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