# A Method of Ore Blending Based on the Quality of Benefication and Its Application in a Concentrator
## 3 Results and Discussion  
Based on the above algorithm, the ore blending optimization system was developed. The server of the system was located in the beneficiation dispatching room, and the upper computer was located in the ore blending office of another building. The communication between the two was realized by ethernet. Based on this concentrator's actual production situation, the modeling method was used to generate the ore blending scheme and compare it with the manual ore distribution scheme. There were four ore producing blocks in total. The ore properties of each ore producing block are shown in Table 4:  
A software platform was developed for this working condition and ore blending method. In order to facilitate the operator to use this system, a human-computer interaction interface of the system was compiled, shown in Figure 4. This interface can generate and display the ore blending plan. After clicking the \"Parameter Setting\" button, it will jump to the interface shown in Figure 5, where the operator can input relevant data. Figure 5 shows the interface for setting parameters of the software. Data from Tables 3 and 4 need to be entered into this interface. In the current production, the effect of ore blending results on the recovery rate of concentrate has not been considered by operators, who only consider ore blending products' properties. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**No**} & **Ore Grade** & **Iron Content** & **High Quality** & **Low Quality** & **Minimum Production** & **Geological** \\  & **T (\%)** & **M (\%)** & **Content \(G\) (\%)** & **Content \(B\) (\%)** & **Volume (Unit)** & **Reserves (Unit)** \\ \hline
1 & 34.54 & 20.32 & 18.24 & 4.31 & 0 & 100 \\
2 & 29.26 & 15.48 & 12.87 & 4.25 & 0 & 100 \\
3 & 32.03 & 3.21 & 0 & 3.17 & 0 & 100 \\
4 & 31.87 & 2.50 & 0 & 2.56 & 0 & 100 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The ore properties of each ore producing block. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
\begin{tabular}{c} **Total Ore** \\ **(Unit)** \\ \end{tabular} & **Concentrate** \\ **Recovery (\%)** \\ \hline \(100\) & 73.8 & 33 & 29 & 12 & 9 & 4.5 & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The property requirements of ore blending products. Based on the above data, the modeling method is used. The optimization model can be expressed in the following forms:  
\[ \begin{split}\min&\Big{(}\big{|}J_{f}(X_{i})-73.8\big{|} \Big{)},i=4\\ \max& Z_{i}(X_{i}),i=4\\ s.t.&\left\{\begin{array}{l}\sum\limits_{i=1}^{m}X_{i}=1 00\\ 29\leq h(X_{i})\leq 33\\ 9\leq k(X_{i})\leq 12\\ 3\leq c(X_{i})\leq 4.5\\ 0\leq x_{i}\leq 100\end{array}\right.\end{split}  \tag{20}\]  
where  
\[h(X_{i})=\frac{\sum\limits_{i=1}^{4}(T_{i}\times x_{i})}{\sum\limits_{i=1}^{4} x_{i}}=\frac{34.54\times x_{1}+29.26\times x_{2}+32.03\times x_{3}+31.87 \times x_{4}}{x_{1}+x_{2}+x_{3}+x_{4}} \tag{21}\]  
\[k(X_{i})=\frac{\sum\limits_{i=1}^{4}(G_{i}\times x_{i})}{\sum\limits_{i=1}^{4} x_{i}}=\frac{18.24\times x_{1}+12.87\times x_{2}+0\times x_{3}+0\times x_{4}}{x_{1}+ x_{2}+x_{3}+x_{4}} \tag{22}\]  
\[l(X_{i})=\frac{\sum\limits_{i=1}^{4}(B_{i}\times x_{i})}{\sum\limits_{i=1}^{4} x_{i}}=\frac{4.31\times x_{1}+4.25\times x_{2}+3.17\times x_{3}+2.56\times x_{4}}{x_{1}+ x_{2}+x_{3}+x_{4}} \tag{23}\]  
Figure 4: Main interface of the ore blending system. The model was solved by optimization algorithm and the ore selectivity index was calculated. Compared with the results obtained by the original method. This method took about 3 min to generate an optimized ore blending scheme on an ordinary computer. The original method takes at least half an hour to calculate a plan by trial and error. The comparison results are shown in the Table 6:  
It can be seen from Table 6 that the ore dressing index of the ore dressing results obtained by this modeling method is higher than that of the original method because the effect of the ore dressing results on the blending is directly considered by this method.