## 3 Results and Discussion
#### 3.2.4 The Establishment of the Settlement Performance Evaluation Model  
In order to comprehensively evaluate the sedimentation of slurry, the following model was constructed using the linear weighting method:  
\[P_{\text{S}}\ =\ A\cdot\Delta W(D)+B\cdot\Delta D_{\text{S}}(D) \tag{12}\]  
Among them, \(P_{\text{S}}\) represents the sedimentation performance of the slurry and \(A\) and \(B\) represent the weights of \(\Delta W\) (\(D\)) and \(\Delta D_{\text{S}}\) (\(D\)), respectively. \(D\) is the fractal dimension of slurry particles. In order to objectively determine the weight of each index, the entropy weight method based on information entropy is adopted, and the weight coefficients \(A\) = 0.6328 and \(B\) = 0.3672 are obtained. The following formula expresses the settlement performance of the slurry. \[P_{\text{S}}\ =\ 50559.494\cdot D^{-16.525}+67.364\cdot D^{-7.716} \tag{13}\]  
For a clearer visualization, Equation (13) is converted into Figure 15. Figure 15 shows the relationship between the settlement index and the fractal dimension of the slurry. As  
Figure 14: Fitting analysis of the fractal dimension on settlement performance. shown in Figure 15, the sedimentation performance index (\(P_{\rm S}\)) of the slurry gradually decreases with the increase in the fractal dimension \(D\). The downward trend of PS tends to be gentle with the increase in \(D\). Combined with the influence of fractal dimension \(D\) on the solid mass fraction \(W\) and particle branch distribution \(D_{\rm S}\) in each region of the slurry, it is found that when the fractal dimension of the slurry is \(D\) = 2.30, \(D\) = 2.40, and \(D\) = 2.45, the variation curves of \(W\) and \(D_{\rm S}\) obviously change with time. When \(D\) exceeds 2.50 (\(D\) = 2.50, \(D\) = 2.55, \(D\) = 2.60, and \(D\) = 2.70), the overall trend of the variation curves of \(W\) and \(D_{\rm S}\) with time tends to be gentle, and the slurry shows good stability. The blue area in Figure 15 shows that the sedimentation performance of the slurry shows good stability when the fractal dimension is in the range of 2.50 to 2.59. It can be seen that when \(P_{\rm S}\) < 0.0707, the slurry showed good stability, and with further increases in D, the stability gradually increased. The experimental results show that \(\Delta W\) is 0.037 and \(\Delta D_{\rm S}\) is 0.180. By substituting the experimental data into Formula 13, \(P_{\rm S}\) = 0.0895 can be calculated. The relative error between the predicted value and the simulated value is 4.25%, which is less than 10%. The results show that the model can accurately predict the sedimentation performance of slurry. Collaborative Evaluation and Analysis of the Flow and Sedimentation Performance of Coal Gagne Slurry  
The pure gauge slurry (CSFM) prepared by the conventional crushing of gangue usually has problems such as poor fluidity and easy particle sedimentation stratification, which makes it difficult to meet the requirements of long-distance advection transportation. In order to solve the above problems, the analysis of the evaluation model of CSFM flow performance and sedimentation performance based on fractal dimensions is shown in Figure 16. In the range of (2.3-2.7), an average of 40 points are taken to analyze the influence of the fractal dimension on CSFM flow performance. The results show that when the fractal dimension of the CSFM is between 2.3 and 2.43, the flow performance evaluation model shows that the slurry is not available. The fractal gradation of particles can be optimized by increasing the content of fine particles. When the fractal dimension of CSFMs is between 2.45 and 2.59 (\(F_{\rm S}\) > 0.8), the CSFM shows better flow performance. Combined with the fractal dimension analysis of the slurry sedimentation performance, it was found that when \(D\) exceeded 2.50 (\(P_{\rm S}\) < 0.0707), the slurry showed good stability.