A study of fractal singular value decomposition method for controlling factors of coal seam thickness
Ya-Nan SUN1, Xing LIU2(), Zhi-Gen ZHAO1
1. Survey School, Anhui University of Science and Technology, Huainan 232000, China 2. Earth and Environment School, Anhui University of Science and Technology, Huainan 232000, China
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.
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