A three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on fractional difference method

A time-domain electromagnetic and anomalous diffusion technology, used in special data processing applications, design optimization/simulation, etc.

Active Publication Date: 2020-12-25
JILIN UNIV
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Problems solved by technology

However, in terms of electromagnetic anomalous diffusion, there is no research on directly performing fractional three-dimensional finite difference calculations in the time domain.

Method used

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  • A three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on fractional difference method
  • A three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on fractional difference method
  • A three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on fractional difference method

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Embodiment

[0041] see figure 1 , a three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on the fractional difference method includes:

[0042] 1), under quasi-static conditions, the passive Maxwell equation is selected as the governing equation of the electromagnetic field component, and the divergence equation as a constraint. The non-uniform Yee-style grid is used for planing, the number of grids is 107×107×53, and the minimum and maximum grid steps are 10m and 120m, respectively. Select the DuFort-Frankel method to calculate each time step.

[0043] 2) Set the electrical conductivity, magnetic permeability, roughness, and polarizability in the entire calculation area, and input the information of the transmitter. The model in the calculation example is a uniform half-space model, the electrical conductivity is set to 10 Siemens / m, and the magnetic permeability is set to is the vacuum permeability.

[0044] 3) Calculate the electromagnetic resp...

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Abstract

The invention relates to a fractional order difference method-based three-dimensional time domain electromagnetic abnormal diffusion simulation method. The method comprises the steps of according to characteristics of heterogeneity, discontinuity, porosity and the like of a complex rock structure, introducing roughness and polarizability parameters of a rock, building a fractional order conductivity model, and deducing a fractional order diffusion equation of a frequency domain electromagnetic field; through frequency-time transformation, obtaining a time domain fractional order differential-integral expression of the electromagnetic field; by adopting a Riemann-Liouville fractional order integral and finite differential method, performing time domain discretization on integral and differential terms of the diffusion equation, and establishing a time domain iterative formula of the electromagnetic field; and loading an initial condition and a boundary condition, thereby realizing numerical simulation of three-dimensional time domain electromagnetic abnormal diffusion. The method has the beneficial effects that the fractional order conductivity model of the complex rock structure isproposed, so that the phenomena of slow diffusion of an underground random medium and polarization abnormal diffusion of a porous polarized medium can be accurately described and a theoretical basisis provided for researching an electromagnetic wave propagation mechanism of a complex geologic structure.

Description

technical field [0001] The invention relates to a three-dimensional time-domain electromagnetic anomalous diffusion simulation method based on a fractional difference method, which is suitable for three-dimensional simulation of time-domain electromagnetic anomalous diffusion, especially for high-precision three-dimensional numerical simulation of electromagnetic slow diffusion and polarization effects. Background technique [0002] Time domain transient electromagnetic methods (Time domain Transient electromagnetic methods) use a long wire source or a loop source to output a time-varying current underground to excite the earth medium to generate an induced electromagnetic field. By measuring the electric field or magnetic field signal, the electrical difference and structure. This method has the advantages of strong ability to distinguish low resistance and good anti-electromagnetic interference, and plays an important role in engineering geological exploration, resource ex...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor 嵇艳鞠赵雪娇吴燕琪黎东升关珊珊王远栾卉
Owner JILIN UNIV
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