基于顶点中心有限元算法的重力场矢量和重力梯度张量高精度模拟

Tong, Xiao-zhong; Sun, Ya; Huang, Ji-wen; Liu, Jian-xin

doi:10.1007/s11771-024-5647-y

J. Cent. South Univ.

2024

DOI: 10.1007/s11771-024-5647-y

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基于顶点中心有限元算法的重力场矢量和重力梯度张量高精度模拟

Xiao-zhong Tong,

Ya Sun,

Ji-wen Huang

et al.

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PDE-Based Two-Dimensional Radiomagnetotelluric forward Modelling Using Vertex-Centered Finite-Volume Scheme

Xie,

Zhu,

Tong

et al. 2024

Mathematics

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An efficient finite-volume algorithm, based on the vertex-centered technique, is proposed for solving two-dimensional radiomagnetotelluric forward modeling. Firstly, we derive the discrete expressions of the radiomagnetotelluric Helmholtz-type equation and the corresponding mixed boundary conditions using the vertex-centered finite-volume technique. Then, the corresponding approximate solutions of the radiomagnetotelluric forward problem can be calculated by applying the finite-volume scheme to treat the boundary conditions. Secondly, we apply the finite-volume algorithm to solve two-dimensional Helmholtz equations and the resistivity half-space model. Numerical experiments demonstrate the high accuracy of the proposed approach. Finally, we summarize the radiomagnetotelluric responses through a numerical simulation of a two-dimensional model, which enables qualitative interpretation of field data. Furthermore, our numerical method can be extended and implemented for three-dimensional radiomagnetotelluric forward modeling to achieve more accurate computation.

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PDE-Based Two-Dimensional Radiomagnetotelluric forward Modelling Using Vertex-Centered Finite-Volume Scheme

Xie,

Zhu,

Tong

et al. 2024

Mathematics

View full text Add to dashboard Cite

show abstract

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基于顶点中心有限元算法的重力场矢量和重力梯度张量高精度模拟

Cited by 1 publication

References 41 publications

PDE-Based Two-Dimensional Radiomagnetotelluric forward Modelling Using Vertex-Centered Finite-Volume Scheme

PDE-Based Two-Dimensional Radiomagnetotelluric forward Modelling Using Vertex-Centered Finite-Volume Scheme

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