Three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergence interpolation approximation

A three-dimensional electromagnetic and numerical simulation technology, applied in CAD numerical modeling, electrical digital data processing, special data processing applications, etc., can solve problems such as weak singularity, unstable results, large errors, etc., and achieve the effect of solving shocks

Pending Publication Date: 2020-02-28
JILIN UNIV
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Problems solved by technology

However, for the phenomenon of slow diffusion in the electromagnetic anomalous diffusion, there is almost no research on the fractional three-dimensional finite difference operation in the time domain, and the direct operation of the fractional operator in the time

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  • Three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergence interpolation approximation
  • Three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergence interpolation approximation
  • Three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergence interpolation approximation

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[0060] Example

[0061] see figure 1 , a three-dimensional electromagnetic slow diffusion numerical simulation method based on superconvergent interpolation approximation, including:

[0062] 1) Deriving the governing equations of the electric and magnetic fields, and combining the non-uniform Yee grid and the DuFort-Frankel method to construct an explicit difference format for each component of the electromagnetic field. The number is 117, the number of grids in the z direction is 58, the minimum grid step is 10m, the maximum grid step is 120m, and the outermost 8 grids of the other 5 surfaces in the calculation area except the ground are loaded with CFS - PML boundary conditions.

[0063] 2) Set parameters such as conductivity, magnetic permeability, and CFS-PML coefficient in the entire calculation area. In the example, the model is a uniform half-space model, and the conductivity is set to σ 0 =0.05S / m, the roughness parameter β=0.6, the weight parameter η=0.1, and the ...

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Abstract

The invention relates to a three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergence interpolation approximation. The method comprises: after a complex conductivity model is introduced into a frequency domain Maxwell equation set, an electromagnetic field diffusion equation containing a negative fractional power term of a complex frequency variable, and performing frequency-time conversion to obtain a time domain control equation containing a Caputo fractional order differential term; performing super-convergence approximation on a Caputo fractional derivative in the electric field control equation by adopting an Alikhanov super-convergence interpolation approximation method to obtain a non-uniform step size discrete approximate expression of afractional order differential item, thereby finishing stable and high-precision direct solution of the time domain fractional order differential item; and finally, discretizing the control equation based on a finite difference algorithm, deriving an electric field and magnetic field iterative equation, and finally realizing high-precision numerical simulation of three-dimensional time domain electromagnetic slow diffusion. The invention aims to solve the problems of weak singular instability and large error of fractional differential solution and realize high-precision numerical simulation ofthree-dimensional time domain electromagnetic slow diffusion.

Description

technical field [0001] The invention relates to a three-dimensional electromagnetic slow diffusion numerical simulation method based on super-convergent interpolation approximation, which is suitable for numerical simulation of electromagnetic slow diffusion in time domain, especially for numerical simulation of electromagnetic slow diffusion of magnetic sources. Background technique [0002] The magnetic source transient electromagnetic detection method selects the coil as the emission source, loads the step current to excite the good underground conductor to generate eddy current, and collects the secondary induction field through the receiver to obtain rich underground electrical information. The advantages of simplicity have been widely used in geological resource exploration. The gradual maturity and practical application of superconducting quantum interferometer (SQUID, Superconducting Quantum Interference Device) and atomic magnetometer have significantly improved the...

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Application Information

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IPC IPC(8): G06F30/3308G06F111/10
Inventor 嵇艳鞠王世鹏赵雪娇吴琼黎东升关珊珊
Owner JILIN UNIV
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