Preprint Article Version 1 This version is not peer-reviewed

Finite Difference Algorithm on Non-uniform Meshes for Modeling 2D Magnetotelluric Responses

Version 1 : Received: 31 October 2018 / Approved: 2 November 2018 / Online: 2 November 2018 (14:03:46 CET)

A peer-reviewed article of this Preprint also exists.

Tong, X.; Guo, Y.; Xie, W. Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses. Algorithms 2018, 11, 203. Tong, X.; Guo, Y.; Xie, W. Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses. Algorithms 2018, 11, 203.

Journal reference: Algorithms 2018, 11, 203
DOI: 10.3390/a11120203

Abstract

A finite-difference approach with non-uniform meshes was presented for simulating magnetotelluric responses in 2D structures. We presented the formulation of this scheme and gave some sights into its successful implementation, and compared finite-difference solution with known numerical results and simple analytical solutions. First, a homogeneous half-space model was tested and the finite-difference approach can provide very good accuracy for 2D magnetotelluric modeling. Then we compared to the analytical solutions for the two-layered model, the relative errors of the apparent resistivity and the impedance phase were both increased when the frequency was increased. In the end, we compare our finite-difference simulation results with COMMEMI 2D-0 model with the finite-element solutions. Both results are in close agreement to each other. These comparisons confirm the validity and reliability of our finite-difference algorithm.

Subject Areas

finite-difference algorithm; magnetotelluric; 2D structures; modeling

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