A multi-domain decomposition-based Fourier finite element method for the simulation of 3D marine CSEM measurements |
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Authors: | Shaaban A. Bakr David Pardo |
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Affiliation: | 1.Basque Center for Applied Mathematics (BCAM),Bilbao,Spain;2.Department of Mathematics,Assiut University,Assiut,Egypt;3.University of the Basque Country (UPV/ EHU),Bilbao,Spain;4.Ikerbasque,Bilbao,Spain |
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Abstract: | We introduce a multi-domain decomposition Fourier finite element (MDDFFE) method for the simulation of three-dimensional (3D) marine controlled source electromagnetic measurement (CSEM). The method combines a 2D finite element (FE) method in two spatial dimensions with a hybrid discretization based on a Fourier FE method along the third dimension. The method employs a secondary field formulation rather than the total field formulation. We apply the MDDFFE method to several synthetic marine CSEM examples exhibiting bathymetry and/or multiple 3D subdomains. Numerical results show that the use of the MDDFFE method reduces the problem size by as much as 87 % in terms of the number of unknowns, without any sacrifice in accuracy. |
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