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An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials
Pan, Kejia1; Wang, Jinxuan1; Hu, Shuanggui1; Ren, Zhengyong2; Cui, Tao3; Guo, Rongwen2; Tang, Jingtian2
2022-05-20
Source PublicationGEOPHYSICAL JOURNAL INTERNATIONAL
ISSN0956-540X
Volume230Issue:3Pages:1834-1851
AbstractThe fast and accurate 3-D magnetotelluric (MT) forward modelling is core engine of the interpretation and inversion of MT data. In this study, we develop an improved extrapolation cascadic multigrid method (EXCMG) to solve the large sparse complex linear system arising from the finite-element (FE) discretization on non-uniform orthogonal grids of the Maxwell's equations using potentials. First, the vector Helmholtz equation and the scalar auxiliary equation are derived from the Maxwell's equations using Coulomb-gauged potentials. The weighted residual method is adopted to discretize the weak formulation and assemble the FE equation. Secondly, carefully choosing the preconditioned complex stable bi-conjugate gradient method (BiCGStab) as multigrid smoother, we develop an improved EXCMG method on non-uniform grids to solve the resulting large sparse complex non-Hermitian linear systems. Finally, several examples including three standard testing models (COMMEMI3D-1, COMMEMI3D-2 and DTM1.0) and a topographic model are used to validate the accuracy and efficiency of the proposed multigrid solver. Numerical results show that the proposed EXCMG algorithm greatly improves the efficiency of 3-D MT forward modelling, is more efficient than some existing solvers, such as Pardiso, incomplete LU factorization preconditioned biconjugate gradients stabilized method (ILU-BiCGStab) and flexible generalized minimum residual method with auxiliary space Maxwell preconditioner (FGMRES-AMS), and capable to simulate large-scale problems with more than 100 million unknowns.
KeywordElectrical properties Magnetotellurics Numerical modelling Numerical solutions
DOI10.1093/gji/ggac152
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[41922027] ; Excellent Youth Foundation of Hunan Province of China[2019JJ20032] ; Fundamental Research Funds for the Central Universities of Central South University[1053320212467] ; Natural Science Foundation of China[42174171] ; High Performance Computing Center of Central South University
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000798346100003
PublisherOXFORD UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/61382
Collection中国科学院数学与系统科学研究院
Corresponding AuthorWang, Jinxuan
Affiliation1.Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R China
2.Cent South Univ, Sch Geosci & Infophys, Changsha 410083, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, NCMIS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Pan, Kejia,Wang, Jinxuan,Hu, Shuanggui,et al. An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2022,230(3):1834-1851.
APA Pan, Kejia.,Wang, Jinxuan.,Hu, Shuanggui.,Ren, Zhengyong.,Cui, Tao.,...&Tang, Jingtian.(2022).An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials.GEOPHYSICAL JOURNAL INTERNATIONAL,230(3),1834-1851.
MLA Pan, Kejia,et al."An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials".GEOPHYSICAL JOURNAL INTERNATIONAL 230.3(2022):1834-1851.
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