## 4 Conclusions  
In this research, a VB computational tool based on modeled mechanical specific energy and stick-slip, making use of a GRG method and with focus on decision matrices was developed and presented. Complete datasets from carbonate-related reservoir drilling operations were used as a new methodology, capable of replacing the to-date and still-in-use flowcharts with detailed and specific oriented decision matrices. Optimization is made possible by combining RPM, WOB, and FLOW (not yet present in the industry) as mechanical drilling parameters, aiming to minimize torsional vibrations and MSE as much as possible. The main conclusions of this research are as follows:  
* FLOW is a crucial drilling parameter for minimizing torsional vibration and stick-slip, and should be considered in computational tools and methodologies used in the industry to improve drilling efficiency and mitigate undesired events;
* The optimization, as output, indicates optimal WOB values for each RPM value (ranging from 100 to 180 [rev/min]) and FLOW (ranging from 2200 to 3900 [L/min]);
* With WOB optimized for each RPM and FLOW value, a decision matrix for minimizing torsional vibration and MSE was created. It was found that the regions with excellent desirability are those with high RPM (above 120 [rev/min]), with WOB within 5-13 [tf], and FLOW above 2300 [L/min];
* A decision matrix for minimizing stick-slip by means of STICKRATIO surveillance was also proposed. This framework used WOB varying from 1 to 21 [tf]. As a result, it was observed that for guaranteeing ideal operating conditions, one should combine high RPM and high FLOW with WOB being below 13 [tf], which may lead to excellent STICKRATIO;
* Critical drilling conditions are evidenced when low RPM, low FLOW, and high WOB (above 13 [tf]) are used while drilling. This parameter combination leads to severe torsional vibrations (and therefore undesired stick-slip), indicating a higher risk and susceptibility to operational issues;
* The findings of the present study may be utilized in the exploration of additional natural resources, including natural hydrogen and geothermal energy sources [48; 49; 50; 51]. Based on the results obtained so far, it can be concluded that vibrations really need to be studied and analyzed in detail, as they can provide insights for better planning and performance in well drilling. This research has shown plausible results; however, practical field analysis and field tests still need to be carried out in the future for validation as a continuation of this research. Conceptualization, T.R.B. ; methodology, T.R.B. and A.N. ; formal analysis, T.R.B. and A.N. ; writing--original draft preparation, T.R.B. ; writing--review and editing, A.N., D.Z.M. and M.R. ; supervision, A.N. All authors have read and agreed to the published version of the manuscript. This study was financed, in part, by the Sao Paulo Research Foundation (FAPESP), Brazil. Process Number 2024/10600-0; by the Human Resources Program from the National Agency of Petroleum, Natural Gas and Biofuels (PRH-ANP), through the PRH-ANP/Fapesp 34.1 FEG/UNESP, Brazil; by the National Council for Scientific and Technological Development (CNPq), Brazil; by the Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior (CAPES)--Finance Code 001, Brazil; and by the Alexander von Humboldt Foundation (AvH), Germany. **Institutional Review Board Statement**: Not applicable. **Informed Consent Statement**: Not applicable. **Data Availability Statement**: Publicly available datasets were analyzed in this study. This data can be found here: [[https://www.equinor.com/energy/volve-data-sharing](https://www.equinor.com/energy/volve-data-sharing)]([https://www.equinor.com/energy/volve-data-sharing](https://www.equinor.com/energy/volve-data-sharing)). **Acknowledgments**: The authors would like to thank the Editor-in-Chief, Editor, and anonymous Reviewers for their valuable reviews. We would like to express our sincere gratitude to the ANP's Banco de Dados de Exploracao e Producao (BDEP).