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A fast numerical simulation method for two-dimensional magnetotelluric field

A numerical simulation and electromagnetic field technology, applied in electric/magnetic exploration, CAD numerical modeling, complex mathematical operations, etc., can solve problems that limit the forward and inverse interpretation of large-scale magnetotelluric exploration, and it is difficult to deal with undulating terrain and complex Time-consuming problems such as the formation of abnormal bodies and coefficient matrices, etc., to achieve the effects of reducing calculation time, efficient solution, and high parallelism

Active Publication Date: 2022-06-03
CENT SOUTH UNIV
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Problems solved by technology

Integral equation method faces huge challenges when calculating large-scale anomaly models; finite element method grid division and coefficient matrix formation are relatively time-consuming, which limits its application in large-scale electromagnetic exploration; finite difference method uses Structured grids, it is difficult to deal with undulating terrain and complex anomalies
Moreover, with the increase of the calculation scale of these numerical simulation methods, the calculation time and calculation memory increase nonlinearly, which greatly limits the forward and inverse interpretation of large-scale magnetotelluric exploration.

Method used

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  • A fast numerical simulation method for two-dimensional magnetotelluric field
  • A fast numerical simulation method for two-dimensional magnetotelluric field
  • A fast numerical simulation method for two-dimensional magnetotelluric field

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Effect test

Embodiment 1

[0068] The constructed two-dimensional geoelectric model is divided into a grid along the horizontal direction (y axis) and the depth direction (z axis).

[0074] For the two-dimensional magnetotelluric problem, equation (1) can be decoupled into two independent modes, namely the TE and TM polarizations

[0082] Referring to FIG. 2, it is assumed that there is a layer of horizontal uniform layered medium model, and the first layer of medium is an air layer. Polarization in TE

[0087] The sum, obtained by formula (5):

[0095] From the boundary condition formula (5), we can get:

[0097] The sum in the formula (8) is brought into the formula (9), and the coefficient sum of each layer can be obtained sequentially from top to bottom,

[0098] In the TM mode, we assume that the natural field source is the direction, and the solutions in the form of the primary electric field and the primary magnetic field are:

[0104] The electrical parameters of the conductivity distribution model ...

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Abstract

The invention provides a fast numerical simulation method of two-dimensional magnetotelluric field, which combines the finite element method and Fourier transform, and converts the two-dimensional partial differential problem into different wave numbers by performing Fourier transform along the horizontal direction One-dimensional ordinary differential problems that are independent of each other, with high parallelism, effectively reduce the calculation amount and improve the calculation efficiency; provide conditions for the refined numerical simulation of the magnetotelluric method under large-scale conditions; after verification, adopt the present invention The calculation result of the method is within the range of the error bars of the international public data included in the literature of Zhdanov et al.

Description

A Fast Numerical Simulation Method for Two-Dimensional Electromagnetic Field technical field The present invention relates to the technical field of geophysical methods, be specifically related to a kind of fast numerical model of two-dimensional magnetotelluric field pseudo method. Background technique Magnetotelluric method is a kind of frequency domain electromagnetic exploration method, and it utilizes the natural electromagnetic field of vertical incidence in high altitude. (Band is 10 ‑4 ‑10 4 Hz) and then realize the method of detecting underground geological structures and abnormal bodies, which has the advantages of simple operation, engineering It has the advantages of high efficiency, low cost, and large detection depth. At present, this method has been widely used in geological exploration, metal mine With the exploration of oil and gas resources and the study of geodynamics and other fields, more and more obvious economic and social benefits hav...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23G06F17/14G06F17/12G01V3/38G06F111/10
CPCY02A90/30
Inventor 吉杭郭荣文柳建新李伟
Owner CENT SOUTH UNIV
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