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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 1468514, 10 pages
Research Article

2.5D Inversion Algorithm of Frequency-Domain Airborne Electromagnetics with Topography

1College of Geo-Exploration Science and Technology, Jilin University, Changchun 130026, China
2Heibei Electric Power Design & Research Institute, Shijiazhuang 050031, China

Received 10 July 2016; Revised 20 August 2016; Accepted 30 August 2016

Academic Editor: Yann Favennec

Copyright © 2016 Jianjun Xi and Wenben Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We presented a 2.5D inversion algorithm with topography for frequency-domain airborne electromagnetic data. The forward modeling is based on edge finite element method and uses the irregular hexahedron to adapt the topography. The electric and magnetic fields are split into primary (background) and secondary (scattered) field to eliminate the source singularity. For the multisources of frequency-domain airborne electromagnetic method, we use the large-scale sparse matrix parallel shared memory direct solver PARDISO to solve the linear system of equations efficiently. The inversion algorithm is based on Gauss-Newton method, which has the efficient convergence rate. The Jacobian matrix is calculated by “adjoint forward modelling” efficiently. The synthetic inversion examples indicated that our proposed method is correct and effective. Furthermore, ignoring the topography effect can lead to incorrect results and interpretations.