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Pad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,Pad有理展开收敛更稳定、逼近更准确。模型试验验证了Pad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。
The magnetic interface forward and inversion method is realized using the Taylor series expansion to linearize the Fourier transform of the exponential function. With a large expansion step and unbounded neighborhood, the Taylor series is not convergent, and therefore, this paper presents the magnetic interface forward and inversion method based on Pade approximation instead of the Taylor series expansion. Compared with the Taylor series, Pade's expansion's convergence is more stable and its approximation more accurate. Model tests show the validity of the magnetic forward modeling and inversion of Pade approximation proposed in the paper, and when this inversion method is applied to the measured data of the Matagami area in Canada, a stable and reasonable distribution of underground interface is obtained.