Magnetic interface forward and inversion method based on Padé approximation
Zhang Chong1, Huang Da-Nian1, Zhang Kai2, Pu Yi-Tao3, and Yu Ping1
1. College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China.
2. Mathematics School and Institute, Jilin University, Changchun 130026, China.
3. Bureau of Geophysical Prospecting INC., China National Petroleum Corporation, Korla 841001, China.
Abstract：
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 Padé approximation instead of the Taylor series expansion. Compared with the Taylor series, Padé’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 Padé 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.
. Magnetic interface forward and inversion method based on Padé approximation[J]. APPLIED GEOPHYSICS, 2016, 13(4): 712-720.
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2016, Vol. 13 
