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Least square method-based resistivity three-dimensional approximate inversion technology

A least squares and resistivity technology, applied in electrical/magnetic exploration, electrical digital data processing, radio wave measurement systems, etc., can solve highly non-unique inversion difficulties, slow calculation speed, and inversion instability And other issues

Inactive Publication Date: 2017-10-31
新疆维吾尔自治区煤炭科学研究所
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Problems solved by technology

Therefore, in the inversion process, it is inevitable to encounter the problems of how to find the partial derivative matrix, how to solve the extremely slow calculation speed and the huge memory requirements of the machine
In addition, many problems such as inversion instability and high non-uniqueness due to too many inversion parameters have brought great difficulties to the inversion

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  • Least square method-based resistivity three-dimensional approximate inversion technology
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  • Least square method-based resistivity three-dimensional approximate inversion technology

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Embodiment Construction

[0018] A three-dimensional approximate inversion technique of resistivity by least square method:

[0019] Step ⑴-Establish a three-dimensional unit grid: assume that the underground space of the detected area is a layered geoelectric section uniformly distributed in the local area, the geophysical detection line is perpendicular to the structural trend, and the entire surface of the detected area is centered on the transient electromagnetic measuring point. Divide into N n x ×n y At the same time, the entire underground space is divided into several sections vertically according to the maximum detected depth of the underground space, so that the entire underground space is divided into N n x ×n y ×n z The three-dimensional grid, so that it forms a finite element method calculation grid; using the high-density resistivity method from a depth less than X m Collect shallow resistivity values ​​in shallow burnt areas and gobs; n x , n y , n z Represents the equal fraction ...

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Abstract

The invention discloses a least square method-based resistivity three-dimensional approximate inversion technology. The technology comprises the steps of (1), establishing a stereoscopic unit grid; (2), establishing a linear equation set; (3), solving a Jacobi matrix by adopting a damped least square method and a conjugate gradient method; and (4), converting a three-dimensional spatial resistivity value obtained by solving the Jacobi matrix into a resistivity three-dimensional data body taking nxXnyXnz as a unit. According to the technology, the technical goal of approximate inversion can be effectively achieved; the calculation amount is relatively low; the calculation speed of inversion is increased; the machine memory is saved; the stability and reliability of inversion are improved; and complex model inversion of a relatively fine grid parameter unit is facilitated.

Description

technical field [0001] The invention relates to the computer technology of data soft processing, especially the three-dimensional approximate inversion technology of resistivity by least square method. Background technique [0002] In recent years, the resistivity method has developed rapidly, and many achievements have been made in the development of instruments and practical applications. However, the actual detection targets are mostly three-dimensional electrical structures. Spitzer revealed through the sensitivity matrix of the resistivity method that there will inevitably be deviations in the two-dimensional interpretation of the three-dimensional electrical profile data. Therefore, the three-dimensional measurement of resistivity and the corresponding inversion Method research has become a frontier topic in this field. [0003] Geophysical inverse problems are ill-posed, especially in 2D and 3D geoelectric field inversions. Because its forward modeling is based on t...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00G01V3/38
CPCG01V3/38G16Z99/00
Inventor 苗圃严震乾贾永勇
Owner 新疆维吾尔自治区煤炭科学研究所
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