Quantitative Analysis Method of spatial Distribution of Faults and Correlation Analysis of Water Inrush based on improved fractal Dimension and 3-D geological Model: A Case Study in Dafosi Coal Mine

Abstract

Fault is one of the most threatening factors among the hidden disaster-causing factors in coal mines. The current quantitative analysis method of fault is still unsatisfactory, which is mainly reflected in the fact that the quantitative results cannot reflect the morphological characteristics of fault and lack of three-dimensional(3-D) quantitative methods. In this paper, we propose a method for quantitative analysis of spatial distribution faults based on improved fractal dimension and 3-D geological model. The method utilizes the Delaunay algorithm to improve the fractal dimension calculation parameters. On the other hand, the 3-D geological model is used to calculate the curvature of the fault plane, and the mean curvature of the fault plane is used to correct the number of parameters in the calculation of 3-D fractal dimension. The calculated indices can reflect the spatial distribution characteristics of the faults in the study area as well as their own structural characteristics. Finally, we calculated the correlation coefficients between the calculated results and the distribution of water inrush points by linear regression analysis. The regression coefficient \({\text{R}}^{2}\) obtained are above 0.7, which proves that the spatial distribution faults proposed in this paper has a strong correlation with the water inrush conditions in mines, and further verifies the validity of the method proposed in this paper.