Three-dimensional numerical modeling of magnetotelluric responses in lorentzian media

CN115600452BActive Publication Date: 2026-05-26CENT SOUTH UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
CENT SOUTH UNIV
Filing Date
2022-09-06
Publication Date
2026-05-26

AI Technical Summary

Technical Problem

Existing magnetotelluric methods under the Lorentz and Coulomb gauges require large amounts of computation and storage in the three-dimensional spatial domain, resulting in low computational efficiency.

Method used

A three-dimensional numerical simulation method under the Lorentz specification is adopted, which combines Fourier transform and pursuit method. By establishing a three-dimensional physical parameter model of the subsurface, meshing is performed, and the electromagnetic field amplitude and magnetic field amplitude of the plane wave are calculated. The total electromagnetic field is solved by the quadratic field method and iterative solution, which reduces the amount of computation and storage requirements.

Benefits of technology

It improves computing speed, reduces memory usage, and enables efficient and high-precision numerical simulation of large-scale magnetotelluric data.

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Abstract

This invention provides a numerical simulation method for magnetotellurics under the Lorentz specification. The Maxwell equations are transformed into a set of governing equations consisting only of vector potentials using the Lorentz specification. A two-dimensional Fourier transform is performed on the quadratic vector potential governing equations in the horizontal direction, converting the three-dimensional governing equations into one-dimensional governing equations, reducing computational load and storage requirements, and improving computational efficiency. The Fourier transform can employ the standard Fourier transform algorithm, the offset sampling Fourier transform algorithm, or the non-uniform sampling Fourier transform algorithm. Then, the one-dimensional equations are solved using the one-dimensional finite element method with quadratic interpolation shape functions, resulting in three pentagonal equation sets, which are then solved using the pursuit method. This invention offers fast computation speed and small memory footprint, providing a new method for efficient and high-precision numerical simulation of large-scale magnetotellurics.
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