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Advanced Method of FD Electromagnetic Modeling Based on Contraction Operator
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 79th EAGE Conference and Exhibition 2017, Jun 2017, Volume 2017, p.1 - 5
Abstract
We introduce two novel preconditioning methods for 3D finite difference (FD) frequency domain electromagnetic modeling. The first preconditioner is based on the layered earth Green’s function, the second one is based on a special transformation of the original system of FD equations into a system with a contraction operator. This transformation extends to the FD modeling the approach originally developed for the integral equation modeling method. We also examine the spectral properties of the two preconditioned methods.
For numerical study of the developed methods, we have designed a complex marine 3D geoelectrical model. The numerical experiments confirm the results of theoretical analysis: an iterative solver with the contraction preconditioner converges faster or at near the same speed as with the Green’s function preconditioner. We apply these two solvers to controlled source modeling and demonstrate that both approaches are very effective, and memory saving. We have also developed a parallel version of the algorithm and studied the scalability of shared and distributed memory parallelization.