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METHODS article

Front. Earth Sci.

Sec. Solid Earth Geophysics

Volume 13 - 2025 | doi: 10.3389/feart.2025.1625616

A high-precision and fast algorithm for threedimensional magnetic anomalies on undulating terrain

Provisionally accepted
Lei  JingLei Jing1,2,3*Bingrui  DuBingrui Du1,3*Longjun  QiuLongjun Qiu1,3Menglong  XuMenglong Xu1,2,3Zhenning  SuZhenning Su1,3Suli  ShiSuli Shi1,3
  • 1Institute of Geophysical and Geochemical Exploration, tianjin, China
  • 2State Key Laboratory of Deep Earth Exploration and Imaging, Jilin, China
  • 3The National Center for Geological Exploration Technology, Tianjin, China

The final, formatted version of the article will be published soon.

This study addresses the challenge of efficiently and accurately computing three-dimensional undulating surface magnetic field data, which has become increasingly difficult with the development of airborne magnetic survey technologies. To solve this problem, we propose a new computational method that is both efficient and highly precise. This method utilizes a planar three-dimensional fastforward algorithm to calculate multiple planar magnetic fields at different heights, followed by local continuation combined with trilinear interpolation to achieve an accurate conversion from planar magnetic fields to undulating surface magnetic fields. This enables the completion of three-dimensional high-precision fast forward calculations that can then be applied to the inversion algorithm to calculate the distribution of the three-dimensional magnetization rate. Multiple model examples were tested to verify the accuracy and efficiency of the proposed method.

Keywords: Undulating Surface, magnetic field, Local interpolation, Three-dimensional inversion, High-precision

Received: 09 May 2025; Accepted: 23 Jul 2025.

Copyright: © 2025 Jing, Du, Qiu, Xu, Su and Shi. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

* Correspondence:
Lei Jing, Institute of Geophysical and Geochemical Exploration, tianjin, China
Bingrui Du, Institute of Geophysical and Geochemical Exploration, tianjin, China

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