Three-dimensional edge-based finite element modeling of magnetotelluric data in anisotropic media with a divergence correction

Zhou, Jiahui; Hu, Xiangyun; Xiao, Tiaojie; Cai, Hongzhu; Li, Jianhui; Peng, Ronghua; Long, Zhidang

doi:10.1016/j.jappgeo.2021.104324

Cited by 19 publications

(3 citation statements)

References 33 publications

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“…The electric field can be decomposed into the magnetic vector potential A and electric scalar potential . This can reduce the weakness of the curl-curl electric equation 21 – 24 , accelerate the speed of solving the FE system with an iterative solver and obtain higher numerical accuracy. The relation of the potentials and fields can be represented as: …”

Section: Theoretical Backgroundmentioning

confidence: 99%

Hybrid mesh for magnetotelluric forward modeling based on the finite element method

Liu

et al. 2023

Sci Rep

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Unstructured tetrahedral grids have been applied in magnetotelluric (MT) forward modeling using the finite element (FE) method because of their adaptability to complex anomalies. However, high-quality results require an extreme refinement of the near-surface area, which leads to excessive meshes and an increased degree of freedom (DoF) of the governing equation of the finite element system. To reduce the computational cost, we have developed a hybrid mesh based on triangular prisms and tetrahedrons. The required elements in the near-surface area are reduced because the quality of the triangular prism is not limited by the element aspect ratio. The deep area is discretized by tetrahedral elements to ensure the flexibility of the unstructured grids. The superiority of this hybrid mesh has been tested on a layered model, the DTM1 model and terrain relief models. The results show that the modeling efficiency has been improved, especially for high-frequency data. The accuracy of the modeling using the hybrid mesh is significantly higher than that of the tetrahedral mesh with a similar DoF. Usage of the hybrid mesh can be easily adapted to complex geoelectric models with strong terrain fluctuations, which requires less computational cost than using conventional unstructured elements.

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Section: Theoretical Backgroundmentioning

confidence: 99%

Hybrid mesh for magnetotelluric forward modeling based on the finite element method

Liu

et al. 2023

Sci Rep

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“…With the improvement in the performance of computing equipment and the improvement in computing methods, researchers have successively carried out the simulation of 3D anisotropic magnetotelluric field (Liu et al, 2018;Yu et al, 2018;Rivera-Rios et al, 2019;Xiao et al, 2019;Guo et al, 2020;Ye et al, 2021;Zhou et al, 2021;Luo et al, 2022;Li et al, 2023). At present, the 3D electromagnetic numerical simulation methods mainly include the integral equation method (IEM), the finite difference method (FDM), the finite volume method (FVM), and the finite element method (FEM).…”

Section: Introductionmentioning

confidence: 99%

“…Xiao et al (2019) derived the finite element equations of 3D anisotropic media by using vector potential functions and realized the forward algorithm. Zhou et al (2021) integrated divergence correction technology into the numerical simulation of magnetotelluric 3D anisotropic vector finite element, which improved the iterative solution accuracy of linear equations.…”

Section: Introductionmentioning

confidence: 99%

A rapid 3D magnetotelluric forward approach for arbitrary anisotropic conductivities in the Fourier domain

Zhu,

Shao,

Wang

et al. 2023

Front. Earth Sci.

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Previous studies have shown that anisotropy generally exists in geological bodies such as sedimentary rocks and fault zones, and more and more attention has been paid to the arbitrary conductivity media in surveys with the magnetotelluric sounding method. With the breakthrough development of computer hardware technology, large-scale 3D magnetotelluric modeling in anisotropic media has gradually become possible. At present, there are 3D magnetotelluric field simulation algorithms based on finite differences or finite elements for arbitrary anisotropic conductivity. In order to solve the common computational efficiency problems of the existing algorithms, we proposed a rapid 3D magnetotelluric forward approach for arbitrary anisotropic conductivity in the Fourier domain. Through the 2D Fourier transform, the governing equation can be converted from the space domain to the Fourier domain, thereby greatly reducing the calculation amount of the numerical simulation and improving the calculation efficiency. Then, the classical 1D anisotropy model is used to verify the correctness and the computational efficiency. Finally, the 3D anisotropic models of land and ocean are calculated, and the influence characteristics of the anisotropic medium on the magnetotelluric response are analyzed. The proposed algorithm will be used in the inverse imaging technique for large-scale 3D anisotropic data in future studies.

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Three-Dimensional Finite-Element Analysis of Magnetotelluric Data Using Coulomb-Gauged Potentials in General Anisotropic Media

Zhou

Cai

2021

Pure Appl. Geophys.

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Three-dimensional edge-based finite element modeling of magnetotelluric data in anisotropic media with a divergence correction

Cited by 19 publications

References 33 publications

Hybrid mesh for magnetotelluric forward modeling based on the finite element method

Hybrid mesh for magnetotelluric forward modeling based on the finite element method

A rapid 3D magnetotelluric forward approach for arbitrary anisotropic conductivities in the Fourier domain

Three-Dimensional Finite-Element Analysis of Magnetotelluric Data Using Coulomb-Gauged Potentials in General Anisotropic Media

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