煤层厚度控制因素的分形奇异值分解法研究

doi:10.11720/wtyht.2019.0203

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Abstract

The thickness distribution of coal seams results from the combined control of various geological factors, and the control factors of coal are different in different regions. Previous studies have focused on qualitative comparative analysis, and hence it is very difficult for them to identify accurately the control factors and their distribution. In this study, according to the multi-fractal characteristics and the generalized self-similarity principle of the coal seam thickness spatial distribution, the authors transformed coal seam thickness into feature space and performed singular value decomposition. Based on the fractal law of energy measure and energy spectral density,the authors used the least squares method to fit singular value decomposition figure into multipul lines, determined different inflection points, selected the singular value and the corresponding feature subspace in the first three sections for reconstruction, compared anomalies after reconstruction with various variables that affect the thickness of coal seams, extracted various implicit geological factors for coal control, and thus realized the quantitative analysis of controlling factors of coal seam thickness. The authors analyzed the No. 8 main coal seam in Panji coal mine (peripheral) of Huainan as a study case, detected the fact that the main control factors for the thickness of coal seam in this area are ancient terrain, same sedimentary structure and hydrodynamic conditions in ancient geography, and compared the results with the control factors obtained by the corresponding analysis. The results show the effectiveness of this method in quantitative analysis.

Key words： control coal factor quantitative analysis singular value decomposition space reconstruction abnormal figure

Received: 09 April 2019 Published: 28 November 2019

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Corresponding Authors: Xing LIU E-mail: 2268190319@qq.com

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	Ya-Nan SUN
	Xing LIU
	Zhi-Gen ZHAO

Cite this article:

Ya-Nan SUN,Xing LIU,Zhi-Gen ZHAO. A study of fractal singular value decomposition method for controlling factors of coal seam thickness[J]. Geophysical and Geochemical Exploration, 2019, 43(6): 1341-1349.

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https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2019.0203 OR https://www.wutanyuhuatan.com/EN/Y2019/V43/I6/1341

Geological map of Panji coal mine(peripheral)

Distribution map of 71 drilling points

The result of K-S normal test

The equivalent figure of M8_H

The figure of M8_H singular value with energy density

The M8_H integral energy contribution figure of singular values

M8_H figure of fractal singular value decomposition

The anomaly figure of M8_H
a—anomaly reconstruction of first segment singular value and corresponding subspace;b—anomaly reconstruction of second segment singular value and corresponding subspace;c—anomaly reconstruction of third segment singular value and corresponding subspace;d—anomaly reconstruction of fourth segment singular value and corresponding subspace;e—anomaly reconstruction of fifth segment singular value and corresponding subspace;f—anomaly reconstruction of sixth segment singular value and corresponding subspace

The equivalent figure of M8_DG

The equivalent figure of SX_H

The equivalent figure of XSHZ_H

The equivalent figure of XSHZ_YB

Correlation between variables

Composition matrix of coal thickness in the first section

Composition matrix of coal thickness in the second section

Composition matrix of coal thickness in the third section

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