Three-Dimensional CSEM Modelling on Unstructured Tetrahedral Meshes Using Edge Finite Elements

  • Octavio Castillo-ReyesEmail author
  • Josep de la Puente
  • José María Cela
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 697)


The last decade has been a period of rapid growth for electromagnetic methods (EM) in geophysics, mostly because of their industrial adoption. In particular, the marine controlled-source electromagnetic method (CSEM) has become an important technique for reducing ambiguities in data interpretation in hydrocarbon exploration. In order to be able to predict the EM signature of a given geological structure, modelling tools provide us with synthetic results which we can then compare to real data. On the other hand and among the modelling methods for EM based upon 3D unstructured meshes, the Nédélec Edge Finite Element Method (EFEM) offers a good trade-off between accuracy and number of degrees of freedom, i.e. size of the problem. Furthermore, its divergence-free basis is very well suited for solving Maxwell’s equation. On top of that, we present the numerical formulation and results of 3D CSEM modelling using the Parallel Edge-based Tool for Geophysical Electromagnetic Modelling (PETGEM) on unstructured tetrahedral meshes. We validated our experiments against quasi-analytical results in canonical models.


CSEM Geophysics Edge Finite Element High performance computing 



Authors of this work has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie-Sklodowska Curie grant agreement No. 644202.

The research leading to these results has received funding from the European Union’s Horizon 2020 Programme (2014–2020) and from Brazilian Ministry of Science, Technology and Innovation through Rede Nacional de Pesquisa (RNP) under the HPC4E Project (, grant agreement No. 689772.

Authors gratefully acknowledge the support from the Mexican National Council for Science and Technology (CONACyT). Numerical tests in this work were performed on the MareNostrum supercomputer of the Barcelona Supercomputing Center - Centro Nacional de Supercomputación (


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Octavio Castillo-Reyes
    • 1
    Email author
  • Josep de la Puente
    • 1
  • José María Cela
    • 1
  1. 1.Computer Applications in Science and EngineeringBarcelona Supercomputing CenterBarcelonaSpain

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