## 3 Results and Discussion
### Parametric Analysis with Proxy Models for Dolomite Precipitation  
In contrast to the Tornado plot for calcite dissolution (Figure 4), the dolomite Tornado plot in Figure 6 exhibits a strong interaction among the parameters, as indicated by the orange bars. This can be attributed to the fact that dolomite, in this case, is a secondary mineral formed as a result of the dissolution of calcite induced by the injection of CO\({}_{2}\). The carbonate rock acts as a buffer, preventing a significant decrease in pH. This, coupled with the increase in HCO\({}_{3}\)\({}^{-}\) ions resulting from both the dissolved CO\({}_{2}\) in the brine solution and calcite dissolution, leads to dolomite precipitation. As calcite dissolves, it releases Ca\({}^{2+}\) ions into the reservoir brine, triggering dolomite precipitation and consuming Mg\({}^{2+}\) ions from the brine solution. Importantly, the injection of CO\({}_{2}\) induces the dolomitization process alongside calcite dissolution. This finding aligns with laboratory studies [9], which suggest that elevated temperatures exceeding 60 \({}^{\circ}\)C (in our case, 80 \({}^{\circ}\)C) initiate dolomite precipitation. It also corroborates other numerical studies [3], demonstrating the intrinsic relationship between calcite dissolution and dolomite precipitation. As a result of the strong dependencies among multiple parameters, the proxy model for dolomite demonstrates a lower quality (as indicated by the \(R^{2}\) value in Table 6) compared to the calcite model. It is important to emphasize that the proxy models developed using the proposed methodology were able to capture this significant relationship between calcite dissolution and dolomite. Additionally, the models demonstrated that quartz had no impact on this dynamic due to its low reactivity, as well as the other minerals present in rock matrix with small fractions. By incorporating the relevant parameters and their interactions, our models successfully captured the complex dependencies between these two processes. This highlights the effectiveness and reliability of our approach in accurately representing the intricate interplay between calcite dissolution and dolomite precipitation. According to Figure 6, the percentage of calcite in the rock has a positive relationship as a main effect on dolomite generation. This means that as the amount of calcite increases, more Ca\({}^{2+}\) ions can be released into the solution, facilitating the precipitation of dolomite. This process is expected to be more efficient in alkaline pH conditions, where the CO\({}_{3}\)\({}^{2-}\) ion is abundant and can support the growth of dolomite. To incorporate this aspect into the model, a new experiment was conducted, introducing the initial brine pH as a parameter with a range from 5 to 8 [60]. Figure 7 depicts the influence of pH as a parameter, displaying a strong interaction effect as it tightly stimulates dolomite generation in conjunction with the other parameters. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Property** & **Value** & **Unit** \\ \hline Rate Constant (\(k_{25}\))—Calcite (log\({}_{10}\)) & \(-8.44\) & mol/m\({}^{2}\)s \\ Reactive area (\(A\))—Calcite & 1202.26 & m\({}^{2}\)/m\({}^{3}\) \\ Energy of activation (\(E_{a}\))—Calcite & 28,047 & J/mol \\ Volumetric percentage (\%vol)—Calcite & 34 & \% \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Properties of the P50 representative model. Unlike dolomite precipitation, the influence of pH on the calcite reaction is not as pronounced. This is because the main mechanism for calcite is dissolution, which is more likely to occur in the acidic region generated around the injector well (pH about 4), regardless of the initial pH. The acidic conditions favor the dissolution of calcite, leading to the release of calcium ions (Ca\({}^{2+}\)) into the solution. Therefore, while pH plays a significant role in the production of calcite, the effect of the calcite  
role in dolomite precipitation, its effect on the calcite reaction is less significant.