## 3 Results
Comparing Tables 12 and 13, regions with high RPM (around 180 [rev/min]) and low flow (from 2200 to 2300 [L/min]) could potentially mitigate stick-slip, but with a considerable increase in MSE, in which a desirability for low MSE (d2 \(\leq\) 50) can be observed. Therefore, Table 11 displays a medium global desirability because it does not satisfy both criteria simultaneously. Table 14 presents a decision matrix \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**RPM** & **100** & **110** & **120** & **130** & **140** & **150** & **160** & **170** & **180** \\ \hline \multicolumn{1}{c}{**FLOW**} & & & & & & & & & \\
[L/min] & & & & & & & & & & \\ \hline
2200 & 17.10 & 15.15 & 14.18 & 13.02 & 11.93 & 10.88 & 9.55 & 8.50 & 7.91 & \\
2300 & 16.41 & 14.92 & 13.68 & 12.54 & 11.45 & 10.00 & 9.37 & 8.38 & 7.41 & \\
2400 & 15.80 & 14.38 & 13.17 & 12.05 & 10.97 & 9.92 & 8.89 & 7.89 & 6.92 & \\
2500 & 15.20 & 13.85 & 12.66 & 12.58 & 12.35 & 8.47 & 8.40 & 7.39 & 6.11 & \\
2600 & 14.61 & 13.32 & 12.42 & 13.29 & 12.80 & 6.43 & 10.26 & 7.51 & 5.90 & \\
2700 & 14.00 & 12.79 & 13.14 & 13.53 & 5.95 & 12.08 & 10.98 & 8.39 & 5.39 & \\
2800 & 15.47 & 12.26 & 13.26 & 13.56 & 5.02 & 12.27 & 11.26 & 8.90 & 4.88 & \\
2900 & 29.91 & 11.73 & 13.16 & 13.46 & 12.3 & 12.32 & 11.31 & 9.40 & 6.15 & \\
3000 & 12.36 & 11.21 & 12.93 & 9.99 & 12.95 & 12.36 & 11.21 & 9.62 & 7.40 & \\
3100 & 11.81 & 10.70 & 12.57 & 1.43 & 12.76 & 12.23 & 11.06 & 9.68 & 7.76 & \\
3200 & 11.28 & 10.18 & 6.22 & 3.95 & 12.48 & 12.03 & 10.91 & 9.63 & 7.51 & \\
3300 & 10.76 & 9.68 & 5.95 & 12.92 & 10.77 & 11.72 & 10.69 & 9.00 & 7.91 & \\
3400 & 11.26 & 9.18 & 5.81 & 11.67 & 11.65 & 11.45 & 10.40 & 9.29 & 7.81 & **Severity** & **STICKRATIO*  
xcellent & SK \(<\) 20 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: Decision matrix of optimized drilling mechanical parameters for STICKRATIO and MSE based on STICKRATIO. showing parameters optimized solely for STICKRATIO, without considering MSE. Table 14 presents a decision matrix showing the WOB parameter optimized for each value of RPM and FLOW solely for the STICKRATIO, without considering MSE. \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline RPM [rev/min] & **100** & **110** & **120** & **130** & **140** & **150** & **160** & **170** & **180** \\ \hline FLOW [L/min] & & & & & & & & & & \\ \hline  
ow & 42\(\leqslant\) 75 \\ \hline \hline \end{tabular}
\end{table} 
Table 14: Decision Matrix for STICKRATIO. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline RPM [rev/min] & **100** & **110** & **120** & **130** & **140** & **150** & **160** & **170** & **180** \\ \hline FLOW [L/min] & & & & & & & & & \\ \hline  
ow & 20\(\leqslant\) SR \(\leqslant\) 40 \\
3900 & 6 & 4 & 2 & 9 & 10 & 9 & 7 & 5 & 2 & Excellent & SR \(\leqslant\) 20 [\%] \\ \hline \hline \end{tabular}
\end{table} 
Table 13: Decision matrix of optimized drilling mechanical parameters for STICKRATIO and MSE based on MSE. Table 14 presents different values for each parameter combination compared to Table 12. It should be used solely when the goal is to minimize as much as possible the vibration by means of stick-slip, without considering other efficiency parameters as objective (MSE for instance). Increasing RPM tends to reduce STICKRATIO because of higher rotary motion, helping prevent the drill bit from sticking. In the chart, as RPM increases, the trend moves from red highlights to green, indicating possible improvements in operational conditions. Higher FLOW generally contributes to better well cleaning, cutting transportation, and drill-bit cooling, reducing the risk of pipe sticking. As per Table 14, increasing FLOW may lead to operational improvements (minimizing stick-slip) by shifting from red to green zones (regions from the decision matrix). However, further field tests must be conducted to ensure that high flow rates do not cause erosion/abrasion of the wellbore wall. Both extremely low and extremely high WOB values can be problematic.