3D time-domain slow electromagnetic diffusion simulation method based on fractional-order linear approximation

A technology of time-domain electromagnetic and simulation methods, which is applied in radio wave measurement systems, electric/magnetic exploration, sound wave re-radiation, etc., can solve problems such as large memory consumption and weak singularity, and achieve the effect of accurate numerical simulation

Active Publication Date: 2018-11-27
JILIN UNIV
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Problems solved by technology

The purpose of the present invention is to overcome the problems of weak singularity and huge memory consumption in fractional-order calculus ti...

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  • 3D time-domain slow electromagnetic diffusion simulation method based on fractional-order linear approximation
  • 3D time-domain slow electromagnetic diffusion simulation method based on fractional-order linear approximation
  • 3D time-domain slow electromagnetic diffusion simulation method based on fractional-order linear approximation

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Embodiment

[0055] see figure 1 , a three-dimensional time-domain electromagnetic slow diffusion simulation method based on fractional linear approximation, including:

[0056] 1) Deduce the integer-order governing equations of each component, and construct the explicit difference scheme of each component of the electromagnetic field by combining the non-uniform Yee grid and the DuFort-Frankel method. The number of grids is 117, the number of grids in the z direction is 58, the minimum and maximum grid step lengths are 10m and 120m respectively, and the 8 outermost grids on the other 5 sides of the calculation area except the ground are loaded with the C-PML layer.

[0057] 2) Set parameters such as conductivity, magnetic permeability, and C-PML coefficient in the entire calculation area. The model in the calculation example is a uniform half-space model, and the conductivity is set to σ'=0.008 Siemens / m, σ"=0.002 Siemens / m, α = 0.1, and the permeability is set to vacuum permeability. ...

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Abstract

The invention relates to a 3D time-domain slow electromagnetic diffusion simulation method based on fractional-order linear approximation. A generalized conductivity expression is introduced into a Maxwell equation set to generate a fractional order integration item, an quality including the fractional order integration item are derived in the two ends simultaneously, and fractional order integration is converted into fractional-order differential. Linear approximation is carried out on the fractional order integration item, frequency-time conversion is carried out to obtain approximate integer-order differential in the time domain, conversion from the fractional-order to the integer-order is completed, and storage of an electric field value in each time in fractional-order differential-integral operation is avoided. Different partial derivative items of a control equation are approximated based on a finite differential algorithm, and an iteration equation for different components of the electric field and the magnetic field is derived. 3D time-domain slow electromagnetic diffusion is high in precision, and a long time window value is simulated. The method of the invention aims atovercoming the problem that time domain direct fractional-order differential-integral operation is weak in singularity and large in memory consumption, and realizes rapid simulation calculation of a fractional-order conductivity model.

Description

technical field [0001] The invention relates to a three-dimensional time domain electromagnetic slow diffusion simulation method in the field of geophysical exploration, in particular to the numerical simulation of time domain airborne electromagnetic slow diffusion. Background technique [0002] With the rapid development of geophysical exploration technology, the development of high-precision exploration instruments, especially the gradual maturity and application of superconducting sensors (SQUID, Superconducting Quantum Interference Device), has greatly improved the detection resolution and deep exploration capabilities . With the improvement of exploration precision, researchers have observed some phenomena that are inconsistent with the classical diffusion of electromagnetic fields when conducting time-domain electromagnetic measurements, one of which is called slow diffusion phenomenon (Sub-diffusion). Slow diffusion mainly refers to the phenomenon that the induced e...

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Application Information

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IPC IPC(8): G01V3/38
Inventor 嵇艳鞠赵雪娇姜曜黎东升关珊珊王远栾卉
Owner JILIN UNIV
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