Journal article
Efficient three-dimensional magnetotelluric forward modeling based on a geometric multigrid preconditioner
Acta geophysica Sinica, Vol.65(5), pp.1839-1852
05/01/2022
DOI: 10.6038/cjg2022P0110
Abstract
The geometric multigrid (GMG) method approximates the fine grid problems with the large sparse matrix on a coarser grid, which is easier to be solved. However, due to the double curl operator involved in magnetotelluric (MT) forward modeling, the high-frequency error cannot be smoothed effectively, resulting in an algorithm converging slowly or even diverging. For this reason, we introduce a four-color cell-block Gauss-Seidel (GS) method as smoother to improve the convergence efficiency. The algorithm locally satisfies the current divergence-free condition with high parallelism, and no additional divergence correction is needed which improves the efficiency of GMG significantly. However, with the anisotropy of the coefficient matrix (such as sharp change of conductivity, etc.), the efficiency of the GMG method can deteriorate. Krylov subspace methods such as BiCGstab can improve the problem. Therefore, in this paper, an efficient MT forward modeling method based on the staggered grid finite difference method
Details
- Title: Subtitle
- Efficient three-dimensional magnetotelluric forward modeling based on a geometric multigrid preconditioner
- Creators
- Yongfei Wang - Cent South Univ, Sch Geosci & Infophys, Changsha 410083, Peoples R ChinaJianxin Liu - Central South UniversityRongwen Guo - Cent South Univ, Sch Geosci & Infophys, Changsha 410083, Peoples R ChinaRong Liu - Central South UniversityJian Li - Central South UniversityHang Chen - Cent South Univ, Sch Geosci & Infophys, Changsha 410083, Peoples R ChinaGangqiang Yang - Central South University
- Resource Type
- Journal article
- Publication Details
- Acta geophysica Sinica, Vol.65(5), pp.1839-1852
- DOI
- 10.6038/cjg2022P0110
- ISSN
- 0001-5733
- Publisher
- Science Press
- Number of pages
- 14
- Language
- Chinese
- Date published
- 05/01/2022
- Academic Unit
- Earth and Environmental Sciences
- Record Identifier
- 9984962529302771
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