An Iterative Solution of the 2-D Non-Linear Magnetic Inversion Problem with Particular Attention to the Anisotropy of Magnetic Susceptibility of Rocks

  • A. B. Raevsky
  • V. V. Balagansky
  • O. V. RundkvistEmail author
  • S. V. Mudruk
Conference paper
Part of the Springer Proceedings in Earth and Environmental Sciences book series (SPEES)


A new method of the solution of the 2-D non-linear magnetic inverse problem is considered as a tool for reconstructing the shape of large synforms that contain strongly magnetic layers. It is based on an interpretation model consisting of two components. The first is a 2-D geometrical model which imitates a synform cross-section normal to the synform strike. The second is a set of elementary layers making up a fold model. A specific feature of the layers is their magnetic susceptibility values that are different in directions parallel and normal to planar shape fabrics of rocks. That is why of particular interest has been a consideration of the impact of the magnetic susceptibility anisotropy of rocks in a measured magnetic field. It has been shown that it can be significant and should be taken into account at solving the magnetic inversion.


Magnetic field Anisotropy Inverse problem Sheath fold 



The study was finalized in the frame of research project № 0231–2015–0004 in the Geological Institute of the Kola Science Centre of the Russian Academy of Sciences with the financial support of the Russian Foundation for Basic Research (project 16–05–01031A).


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. B. Raevsky
    • 1
  • V. V. Balagansky
    • 1
  • O. V. Rundkvist
    • 1
    Email author
  • S. V. Mudruk
    • 1
  1. 1.Geological Institute of the Kola Science Centre of the Russian Academy of SciencesApatityRussian Federation

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