A Fast Fourier Finite Element Approach for 3D CSEM Modeling Using Different Fourier Transform Methods

A novel Fourier finite element algorithm for 3D controlled-source electromagnetic (CSEM) problems using different 2D Fourier transform methods is presented. As an important and effective tool, the 2D Fourier transform method simplifies the 3D CSEM problem into multiple 1D problems solved by 1D finit...

Full description

Saved in:
Bibliographic Details
Published in:Pure and applied geophysics 2024-02, Vol.181 (2), p.451-466
Main Authors: Zhao, DongDong, Zhang, QianJiang, Wang, XuLong, Mo, TaiPing, Chen, ZhenCheng
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Computer simulation
Earth and Environmental Science
Earth Sciences
Efficiency
Finite element analysis
Finite element method
Fourier transforms
Geophysics/Geodesy
Integral equations
Mathematical models
Model accuracy
Modelling
Quadratures
Thermal expansion
Three dimensional models
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A novel Fourier finite element algorithm for 3D controlled-source electromagnetic (CSEM) problems using different 2D Fourier transform methods is presented. As an important and effective tool, the 2D Fourier transform method simplifies the 3D CSEM problem into multiple 1D problems solved by 1D finite element method, which can be used to significantly accelerate the 3D frequency-domain electromagnetic (EM) forward modeling algorithms. For this proposed Fourier finite element method, two different transformation techniques, including a standard FFT algorithm with different grid expansion coefficient, and a Gauss-FFT algorithm with different Gaussian quadrature nodes, are investigated and compared in terms of balancing modeling accuracy and efficiency. All the different Fourier transform algorithms are numerically checked by integral equation (IE) reference solutions. The comparison results of numerical tests show that the present 3D CSEM modeling method with standard FFT or Gauss-FFT not only can guarantee the accuracy, but can also reduce the computing cost for any EM problem in general. Additionally, the standard FFT algorithm has high simulation efficiency and relatively low accuracy, while the Gauss-FFT algorithm has high simulation accuracy and relatively low efficiency. Because of its faster numerical solution, we infer that the standard FFT with grid expansion is more applicable for solving large-scale CSEM forward problems.
ISSN:0033-4553
1420-9136
DOI:10.1007/s00024-023-03373-0