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Transient electromagnetic modeling and inversion method based on virtual wave domain method

A transient electromagnetic and virtual wave technology, which is applied in the field of transient electromagnetic modeling and inversion, and can solve problems such as segment-to-segment connection

Inactive Publication Date: 2017-12-29
GUILIN UNIV OF ELECTRONIC TECH
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Problems solved by technology

Although the segmental processing of transient electromagnetic time signals can effectively reduce the ill-conditioned degree of the coefficient matrix, it also introduces the problem of segment-to-segment connection

Method used

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  • Transient electromagnetic modeling and inversion method based on virtual wave domain method
  • Transient electromagnetic modeling and inversion method based on virtual wave domain method
  • Transient electromagnetic modeling and inversion method based on virtual wave domain method

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Embodiment Construction

[0067] Embodiment is the forward and inversion model of two-dimensional three-layer geoelectric model, such as figure 1 As shown, the conductivity relationship of the three-layer ground is σ 1 >σ 2 3 , called the H-type geoelectric model. In this embodiment, the forward modeling value of the H-type geoelectric model and the uniform geoelectric model is used as the input signal of the inversion: the time signal F of the transient electromagnetic field, which is the constant b of the right-hand term of the equation. Let t be in [10 -5 ,10 -2 ] within the range of equal interval sampling 101 points, and substitute them into the forward modeling model

[0068]

[0069] The transient electromagnetic field time signal F can be obtained directly; the specific implementation steps of the inversion are as follows:

[0070] Step Ⅰ: Construct the equation: M -1 (A T A+vI)x (k+1) = M -1 (A T b+vx (k) );

[0071] Step Ⅱ: Input transient electromagnetic field time signal F; g...

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Abstract

The invention is a transient electromagnetic modeling and inversion method based on the virtual wave domain method, and its key feature is based on the corresponding principle between the transient electromagnetic diffusion field and the virtual wave field satisfying the wave equation. Firstly, the mathematical integral relationship between the transient electromagnetic field and the virtual wave field is established through the Laplace change method, and the integral is discretized and written in matrix form; then, by constructing the preconditioning matrix M, the equation is Symmetric hyper-relaxation preconditioning improves the spectral properties of the coefficient matrix of linear equations and reduces the condition number of the coefficient matrix. Finally, the virtual wave field value in the full time domain is obtained through the regularized conjugate gradient iterative method. This method not only effectively avoids the segmentation of the transient electromagnetic time signal, but also has a very small iteration time, which improves the efficiency of the method.

Description

technical field [0001] The invention relates to modeling and inversion technology of transient electromagnetic method, in particular to transient electromagnetic modeling and inversion method based on virtual wave domain method. Background technique [0002] At present, the transient electromagnetic method is widely used in solid mineral exploration, oil and gas exploration, groundwater detection, geological surveying and mapping, and accurate and advanced detection of aquifer structure. In particular, with the emergence of high-precision, intelligent, flexible and reliable field exploration instruments, their work efficiency and observation accuracy have been greatly improved. The more popular transient electromagnetic modeling and inversion method recently is to convert the transient electromagnetic field satisfying the diffusion equation into a virtual wave field satisfying the wave equation, and then use some mature and developing methods in seismology Methods and techn...

Claims

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Application Information

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IPC IPC(8): G01V3/08
CPCG01V3/081
Inventor 王国富赵小宇肖海林叶金才张法全贾小波韦秦明
Owner GUILIN UNIV OF ELECTRONIC TECH
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