Journals / Gazi University Journal of Science Part A: Engineering and Innovation / 2026 / Volume: 13 Issue: 3

Data-Driven Modelling of Oil Flow Rates in Vertical Wells: Performance Comparisons of Neural Network and Multigene Genetic Programming Approaches

Kawu Yakubu(University of Uyo, Akwa Ibom State, Nigeria.)0000-0002-8013-8194
Anietie Okon(University of Uyo, Akwa Ibom State, Nigeria)0000-0003-1744-3310
Okorie Agwu Ekwe(Universiti Teknologi, Petronas, Iskandar, Perak Darul Ridzuan 32610, Malaysia.)0000-0003-3855-8352
Pages
—
Publication Date
2026-09-30
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Therefore, production engineers are recommended to utilise an NN-based model as a decision-support tool for estimating oil flow in vertically flowing wells.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Accurate prediction of oil production rates remains challenging, especially in fields where direct measurement is not feasible.
📊
Key Findings & Data:To address this issue, data-driven models were developed using neural networks (NN) and multigene genetic programming (MGGP) to provide real-time estimations of oil flow rates in vertical wells using routinely measured field parameters.
💡
Conclusion & Impact:Therefore, production engineers are recommended to utilise an NN-based model as a decision-support tool for estimating oil flow in vertically flowing wells.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Data-Driven Model · Neural Network · Multigene Genetic Programming

Abstract

Accurate prediction of oil production rates remains challenging, especially in fields where direct measurement is not feasible. To address this issue, data-driven models were developed using neural networks (NN) and multigene genetic programming (MGGP) to provide real-time estimations of oil flow rates in vertical wells using routinely measured field parameters. The models were trained and tested on 70% and 30% of a dataset comprising 1,893 entries, respectively. The input variables for the models include oil API gravity, downstream temperature, upstream temperature, upstream pressure, and choke size. These developed models are simplified, reproducible, and suitable for practical application. Model performance was quantitatively evaluated using the correlation coefficient (R), the coefficient of determination (R2), the mean squared error (MSE), and the root mean square error (RMSE). The NN model demonstrated superior predictive capability, achieving R = 0.990, R2 = 0.980, MSE = 0.0001, and RMSE = 0.011, while the MGGP model achieved R = 0.980, R2 = 0.960, MSE = 0.0004, and RMSE = 0.020. Validation using an independent dataset further confirmed the robustness of the NN model, which outperformed the MGGP model across all evaluation metrics. Additional contributions of this study include sensitivity analysis of input variables, derivation of explicit predictive correlations, and evaluation of computational efficiency. Both models exhibited low computational cost, supporting real-time and field-scale applicability. Thus, the NN model outperforms the MGGP model in estimating oil field flow rates. Therefore, production engineers are recommended to utilise an NN-based model as a decision-support tool for estimating oil flow in vertically flowing wells.

🔖

Cite This Article

Yakubu, K., Okon, A., Ekwe, O. A. (2026). Data-Driven Modelling of Oil Flow Rates in Vertical Wells: Performance Comparisons of Neural Network and Multigene Genetic Programming Approaches. Gazi University Journal of Science Part A: Engineering and Innovation, Volume: 13 Issue: 3. https://doi.org/10.54287/gujsa.1960311

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (52)

  1. Agwu, O. E., Akpabio, J. U., & Dosunmu, A. (2021). Modeling the downhole density of drilling muds using multigene genetic programming. Upstream Oil and Gas Technology, 6, 100030. https://doi.org/10.1016/j.upstre.2020.100030
  2. Agwu, O. E., Alkouh, A., Alatefi, S., Azim, R. A., & Ferhadi, R. (2024). Utilization of machine learning for the estimation of production rates in wells operated by electrical submersible pumps. Journal of Petroleum Exploration and Production Technology, 14(5), 1205–1233. https://doi.org/10.1007/s13202-024-01761-3
  3. Agwu, O. E., Okoro, E. E., & Sanni, S. E. (2022). Modelling oil and gas flow rate through chokes: A critical review of extant models. Journal of Petroleum Science and Engineering, 208, 109775. https://doi.org/10.1016/j.petrol.2021.109775
  4. Ahmadi, M. A., Ebadi, M., Shokrollahi, A., & Majidi, S. M. J. (2013). Evolving artificial neural network and imperialist competitive algorithm for prediction oil flow rate of the reservoir. Applied Soft Computing 13(2), 1085–1098. https://doi.org/10.1016/j.asoc.2012.10.009
  5. AlAjmi, M. D., Alarifi, S. A., & Mahsoon, A. H. (2015). Improving multiphase choke performance prediction and well production test validation using artificial intelligence: A new milestone. In: Society of Petroleum Engineers Digital Energy Conference and Exhibition 2015, SPE-173394-MS, (3–5 March 2015), The Woodlands, Texas, USA. https://doi.org/10.2118/173394-ms
  6. Alarifi, S. A. (2022). Workflow to predict wellhead choke performance during multiphase flow using machine learning. Journal of Petroleum Science and Engineering, 214, 110563. https://doi.org/10.1016/j.petrol.2022.110563
  7. Alexander, D. L. J., Tropsha, A., & Winkler, D. A. (2015). Beware of R2: Simple, Unambiguous Assessment of the Prediction Accuracy of QSAR and QSPR Models. Journal of Chemical Information and Modeling, 55(7), 1316–1322. https://doi.org/10.1021/acs.jcim.5b00206
  8. Al-Khalifa, M. A., & Al-Marhoun, M. A. (2013). Application of neural network for two-phase flow through chokes. In: Society of Petroleum Engineers Saudi Arabia Section Technical Symposium and Exhibition 2013, SPE-169597-MS, (19-22 May 2013), Al-Khobar, Saudi Arabia. https://doi.org/10.2118/169597-ms
  9. AL-Qutami, T. A., Ibrahim, R., Ismail, I., & Ishak, M. A. (2017). Development of soft sensor to estimate multiphase flow rates using neural networks and early stopping. International Journal on Smart Sensing and Intelligent Systems, 10(1), 199–222. https://doi.org/10.21307/ijssis-2017-209
  10. Ani, M., Oluyemi, G., Petrovski, A., & Rezaei-Gomari, S. (2016). Reservoir Uncertainty Analysis: The Trends from Probability to Algorithms and Machine Learning. In: Society of Petroleum Engineers Intelligent Energy International Conference and Exhibition 2016, SPE-181049-MS, (6-8 September 2016), Aberdeen, Scotland, UK. https://doi.org/10.2118/181049-ms
  11. Anifowose, F. A., Labadin, J., & Abdulraheem, A. (2017). Hybrid intelligent systems in petroleum reservoir characterization and modeling: the journey so far and the challenges ahead. Journal of Petroleum Exploration and Production Technology, 7(1), 251–263. https://doi.org/10.1007/s13202-016-0257-3
  12. Azim, R. A. (2022). A new correlation for calculating wellhead oil flow rate using artificial neural network. Artificial Intelligence in Geosciences, 3, 1–7. https://doi.org/10.1016/j.aiig.2022.04.001
  13. Baxendell, P. B. (1957). Bean performance-lake wells: Shell Internal Report.
  14. Buhulaigah, A., Al-Mashhad, A. S., Al-Arifi, S. A., Al-Kadem, M. S., & Al-Dabbous, M. S. (2017). Multilateral wells evaluation utilizing artificial intelligence. In: Society of Petroleum Engineers Middle East Oil and Gas Show and Conference 2017, SPE-183688-MS, (6-9 March 2017), Manama, Kingdom of Bahrain. https://doi.org/10.2118/183688-ms
  15. Choubineh, A., Ghorbani, H., Wood, D. A., Robab Moosavi, S., Khalafi, E., & Sadatshojaei, E. (2017). Improved predictions of wellhead choke liquid critical-flow rates: Modelling based on hybrid neural network training learning based optimization. Fuel, 207, 547–560. https://doi.org/10.1016/j.fuel.2017.06.131
  16. de Souza, L. V., Pozo, A. T. R., Neto, A. C., & da Rosa, J. M. C. (2009). Genetic Programming and Boosting Technique to Improve Time Series Forecasting. In: W. P. dos Santos (Eds.), Evolutionary Computation. InTech. https://doi.org/10.5772/9617
  17. Elhaj, M. A., Anifowose, F., & Abdulraheem, A. (2015). Single gas flow prediction through chokes using Artificial Intelligence techniques. In: Society of Petroleum Engineers Saudi Arabia Section Annual Technical Symposium and Exhibition 2015, SPE-177991-MS, (21–23 April 2015), Al-Khobar, Saudi Arabia. https://doi.org/10.2118/177991-ms
  18. Elmabrouk, S., Shirif, E., & Mayorga, R. (2014). Artificial neural network modeling for the prediction of oil production. Petroleum Science and Technology, 32(9), 1123–1130. https://doi.org/10.1080/10916466.2011.605093
  19. Farsi, M., Shojaei Barjouei, H., Wood, D. A., Ghorbani, H., Mohamadian, N., Davoodi, S., Reza Nasriani, H., & Ahmadi Alvar, M. (2021). Prediction of oil flow rate through orifice flow meters: Optimized machine-learning techniques. Measurement, 174, 108943. https://doi.org/10.1016/j.measurement.2020.108943
  20. Garson, G. D. (1991). Interpreting neural network connection weights. Artificial Intelligence Expert, 6(4), 46–51. https://dl.acm.org/citation.cfm?id=129452
  21. George, A. (2021). Predicting oil production flow rate using artificial neural networks - The Volve field case. In: Society of Petroleum Engineers Nigeria Annual International Conference and Exhibition 2021 (NAIC 2021), SPE-208258-MS, (2–4 August 2021), Lagos, Nigeria. https://doi.org/10.2118/208258-MS
  22. Hasanvand, M., & Berneti, S. M. (2015). Predicting Oil Flow Rate due to Multiphase Flow Meter by Using an Artificial Neural Network. Energy Sources, Part A: Recovery, Utilization and Environmental Effects, 37(8), 840–845. https://doi.org/10.1080/15567036.2011.590865
  23. Hassan, A., Elkatatny, S., & Abdulraheem, A. (2019). Application of artificial intelligence techniques to predict the well productivity of fishbone wells. Sustainability, 11(21), 6083. https://doi.org/10.3390/su11216083
  24. Hopfield, J. J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America, 79(8), 2554–2558. https://doi.org/10.1073/pnas.79.8.2554
  25. Ibrahim, A. F., Assem, A., & Ibrahim, M. (2020). A novel workflow for water flowback RTA analysis to rank the shale quality and estimate fracture geometry. Journal of Natural Gas Science and Engineering, 81, 103387. https://doi.org/10.1016/j.jngse.2020.103387
  26. Ibrahim, D. S. (2021). The Prediction of Future Oil Wells Production from Decline Curve Pattern. Journal of Petroleum Research and Studies, 7(2), 80–95. https://doi.org/10.52716/jprs.v7i2.190
  27. Kaydani, H., Mohebbi, A., & Eftekhari, M. (2014). Permeability estimation in heterogeneous oil reservoirs by multi-gene genetic programming algorithm. Journal of Petroleum Science and Engineering, 123, 201–206. https://doi.org/10.1016/j.petrol.2014.07.035
  28. Khamis, M., Elhaj, M., & Abdulraheem, A. (2020). Optimization of choke size for two ‑ phase flow using artificial intelligence. Journal of Petroleum Exploration and Production Technology, 10(2), 487–500. https://doi.org/10.1007/s13202-019-0734-6
  29. Koza, J. R. (1994). Genetic programming as a means for programming computers by natural selection. Statistics and Computing, 4(2), 87–112. https://doi.org/10.1007/BF00175355
  30. Kronberger, G. (2011). Symbolic regression for knowledge discovery. ACM SIGEVOlution, 5(4), 25. https://doi.org/10.1145/2078245.2078249
  31. Lippmann, R. P. (1987). An Introduction to Computing with Neural Nets. IEEE ASSP Magazine, 4(2), 4–22. https://doi.org/10.1109/MASSP.1987.1165576
  32. Mahendran, N. (2021). Analysis of memory consumption by neural networks based on hyperparameters. http://arxiv.org/abs/2110.11424
  33. Marfo, S. A., & Kporxah, C. (2020). Predicting Oil Production Rate Using Artificial Neural Network and Decline Curve Analytical Methods. In: Proceedings of 6th UMaT Biennial International Mining and Mineral Conference, (pp. 43–50), Tarkwa, Ghana.
  34. Meribout, M., Azzi, A., Ghendour, N., Kharoua, N., Khezzar, L., & AlHosani, E. (2020). Multiphase Flow Meters Targeting Oil & Gas Industries. Measurement: Journal of the International Measurement Confederation, 165, 108111. https://doi.org/10.1016/j.measurement.2020.108111
  35. Mirzaei-Paiaman, A., & Salavati, S. (2012). The application of artificial neural networks for the prediction of oil production flow rate. Energy Sources, Part A: Recovery, Utilization and Environmental Effects, 34(19), 1834–1843. https://doi.org/10.1080/15567036.2010.492386
  36. Mohaghegh, S. D. (2011). Reservoir simulation and modeling based on artificial intelligence and data mining (AI&DM). Journal of Natural Gas Science and Engineering, 3(6), 697–705. https://doi.org/10.1016/j.jngse.2011.08.003
  37. Muradkhanli, L. (2018). Neural Networks for Prediction of Oil Production. IFAC-PapersOnLine, 51(30), 415–417. https://doi.org/10.1016/j.ifacol.2018.11.339
  38. Nguyen, H. T., Vu, D. H., To, T. H., & Nguyen N. T. (2022). Application of artificial neural network for predicting production flow rates of gaslift oil wells. Journal of Mining and Earth Sciences, 63(3), 82–91. https://doi.org/10.46326/jmes.2022.63(3).10
  39. Noh, H., Kwon, S., Seo, I. W., Baek, D., & Jung, S. H. (2021). Multi-gene genetic programming regression model for prediction of transient storage model parameters in natural rivers. Water, 13(1), 76. https://doi.org/10.3390/w13010076
  40. Okon, A. N., & Appah, D. (2016). Neutral Network Models for Predicting Wellhead Pressure-Flow Rate Relationship for Niger Delta Oil Wells. Journal of Scientific Research and Reports, 12(1), 1–14. https://doi.org/10.9734/jsrr/2016/28715
  41. Okon, A. N., Effiong, A. J., & Daniel, D. D. (2022). Explicit Neural Network-Based Models for Bubble Point Pressure and Formation Volume Factor Prediction. Arabian Journal for Science and Engineering, 48(7), 9221–9257. https://doi.org/10.1007/s13369-022-07240-3
  42. Orove, J. O., Osegi, N. E., & Eke, B. O. (2015). A Multi-Gene Genetic Programming Application for Predicting Students Failure at School. African Journal of Computing & ICT, 7(3), 21-34. https://doi.org/10.48550/arXiv.1503.03211
  43. Poli, R., McPhee, N. F., & Vanneschi, L. (2008). Elitism reduces bloat in genetic programming. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation (GECCO’08), (pp. 1343–1344) (12-16 July 2008), Atlanta GA USA. https://doi.org/10.1145/1389095.1389355
  44. Rostami, A., & Ebadi, H. (2017). Toward gene expression programming for accurate prognostication of the critical oil flow rate through the choke: correlation development. Asia-Pacific Journal of Chemical Engineering, 12(6), 884–893. https://doi.org/10.1002/apj.2126
  45. Rumelhart, D. E., Hinton, G. E., & William, R. J. (1986). Learning Representations by Back-Propagating Errors. Nature, 323(6088), 533–536. https://doi.org/10.1038/323533a0
  46. Saeedi, A., Camarda, K. V., & Liang, J. T. (2007). Using neural networks for candidate selection and well performance prediction in water-shutoff treatments using polymer gels - A field-case study. SPE Production & Operations, 22(04), 417–424. https://doi.org/10.2118/101028-pa
  47. Safar Beiranvand, S. M., Mohammadmoradi, P., Aminshahidy, B., Fazelabdolabadi, B., & Aghahoseini, S. (2012). New multiphase choke correlations for a high flow rate Iranian oil field. Mechanical Sciences, 3(1), 43–47. https://doi.org/10.5194/ms-3-43-2012
  48. Sheikhoushaghi, A., Gharaei, N. Y., & Nikoofard, A. (2022). Application of Rough Neural Network to forecast oil production rate of an oil field in a comparative study. Journal of Petroleum Science and Engineering, 209, 109935. https://doi.org/10.1016/j.petrol.2021.109935
  49. Sircar, A., Yadav, K., Rayavarapu, K., Bist, N., & Oza, H. (2021). Application of machine learning and artificial intelligence in oil and gas industry. Petroleum Research, 6(4), 379–391. https://doi.org/10.1016/j.ptlrs.2021.05.009
  50. Umana, U., Okon, A. N., & Agwu, O. E. (2024). Simplified Neural Network-Based Models for Oil Flow Rate Prediction. Petroleum Science and Engineering, 8(2), 70–99. https://doi.org/10.11648/j.pse.20240802.12
  51. Zareiforoush, A., Hosseinbagheri, A., & Mehrabi, H. (2015). Comprehensive Study on Surface Flow Rates/Velocities Determination in Gas Condensate Producing Well through Chokes and Flexible Pipes. In: The 1st National Conference on Oil and Gad Fields Development (OGFD), (28-29 January 2015), Sharif University of Technology, Tehran, Iran.
  52. Zarenezhad, B., & Aminian, A. (2011). An Artificial Neural Network Model for Design of Wellhead Chokes in Gas Condensate Production Fields An Artificial Neural Network Model for Design of Wellhead Chokes in Gas Condensate Production Fields. Petroleum Science and Technology, 29(6), 579–587. https://doi.org/10.1080/10916460903551065