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

Wei Xie, Wendi Zhu, Xiaozhong Tong () and Huiying Ma
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Wei Xie: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Wendi Zhu: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Xiaozhong Tong: School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
Huiying Ma: Hunan Institute of Geological Survey, Changsha 410114, China

Mathematics, 2024, vol. 12, issue 13, 1-17

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.

Keywords: radiomagnetotelluric; forward modelling; finite-volume algorithm; vertex-centered technique; two-dimensional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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