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波数域磁性界面正反演方法是利用Taylor级数对指数函数展开并进行Fourier变换而实现。在展开步长大、展开点邻域无界的情况下,Taylor级数展开不收敛。为此,本文提出基于Padé有理展开替代Taylor级数展开的磁性界面正反演方法。与Taylor级数展开相比较,Padé有理展开收敛更稳定、逼近更准确。模型试验验证了Padé有理展开磁性界面正反演方法的有效性。应用该方法对加拿大Matagami地区实测数据进行反演,得到了比较稳定、合理的地下磁性界面分布。
Wave front and back magnetic domain inversion method is the use of Taylor series expansion of the exponential function and Fourier transform. In the case that the expansion step is large and the neighborhood of unfolded point is unbounded, Taylor series expansion does not converge. To this end, this paper presents a method based on Padé rational expansion instead of Taylor series expansion of the magnetic interface forward and inverse method. Compared with the Taylor series expansion, Padé rational expansion convergence more stable approximation more accurate. The model test verifies the validity of Padé’s rational expansion method of forward and inverse magnetic interface. The method is applied to the inversion of the measured data in Matagami, Canada, and the stable and reasonable underground magnetic interface distribution is obtained.