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Algorithms 2018, 11(12), 203; https://doi.org/10.3390/a11120203

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

1
School of Geosciences and Info-Physics, Central South University, Changsha 410083, China
2
Key Laboratory of Metallogenic Prediction of Nonferrous Metals of Ministry of Education, Central South University, Changsha 410083, China
*
Author to whom correspondence should be addressed.
Received: 31 October 2018 / Revised: 3 December 2018 / Accepted: 3 December 2018 / Published: 14 December 2018
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Abstract

A finite-difference approach with non-uniform meshes was presented for simulating magnetotelluric responses in 2D structures. We presented the calculation formula of this scheme from the boundary value problem of electric field and magnetic field, and compared finite-difference solutions with finite-element numerical results and analytical solutions of a 1D model. 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 them to the analytical solutions for the two-layered geo-electric model; the relative errors of the apparent resistivity and the impedance phase were both increased when the frequency was increased. To conclude, 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 can confirm the validity and reliability of our finite-difference algorithm. Moreover, a future project will extend the 2D structures to 3D, where non-uniform meshes should perform especially well. View Full-Text
Keywords: finite-difference algorithm; magnetotelluric; 2D structures; modeling finite-difference algorithm; magnetotelluric; 2D structures; modeling
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Tong, X.; Guo, Y.; Xie, W. Finite Difference Algorithm on Non-Uniform Meshes for Modeling 2D Magnetotelluric Responses. Algorithms 2018, 11, 203.

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