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

Author

Listed:
  • Wei Xie

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
    Key Laboratory of Non-Ferrous and Geological Hazard Detection, Central South University, Changsha 410083, China)

  • Wendi Zhu

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
    Key Laboratory of Non-Ferrous and Geological Hazard Detection, Central South University, Changsha 410083, China)

  • Xiaozhong Tong

    (School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
    Key Laboratory of Non-Ferrous and Geological Hazard Detection, Central South University, Changsha 410083, China
    Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Ministry of Education, Central South University, Changsha 410083, China)

  • Huiying Ma

    (Hunan Institute of Geological Survey, Changsha 410114, China)

Abstract

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.

Suggested Citation

  • Wei Xie & Wendi Zhu & Xiaozhong Tong & Huiying Ma, 2024. "PDE-Based Two-Dimensional Radiomagnetotelluric forward Modelling Using Vertex-Centered Finite-Volume Scheme," Mathematics, MDPI, vol. 12(13), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2096-:d:1428463
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    References listed on IDEAS

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    1. Xiaozhong Tong & Ya Sun, 2024. "Fictitious Point Technique Based on Finite-Difference Method for 2.5D Direct-Current Resistivity Forward Problem," Mathematics, MDPI, vol. 12(2), pages 1-22, January.
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