Numerical-analytical modeling of oil extraction from oil fields with a gas cap using horizontal wells with automatic history matching
https://doi.org/10.18599/grs.2023.4.10
Abstract
The article describes a numerical-analytical model for gas breakthrough to a well during the development of oil fields with a gas cap using horizontal wells. The employed semi-analytical model allows describing the process of gas cone development and reproducing oil and gas production parameters from the well by matching to the actual production history using several coefficients. The numerical scheme of the model was implemented as a computational library in the Python 3.6 programming language.
The algorithm was tested on oil deposits with a gas cap in the South Yamal oil and gas region and showed good results in history matching and forecasting calculations. The average calculation time of one iteration being less than 10 seconds allows for multiple model run scenarios using optimization algorithms for automatic calibration to actual production data. The results of the testing show the possibility of achieving satisfactory convergence using automated calibration to the production history. The developed algorithm reduces the workload of specialists in forecasting production, thereby enhancing the effectiveness of decisions made for development optimization.
About the Authors
D. V. ShevchenkoRussian Federation
Denis V. Shevchenko – Cand. Sci. (Physics and Mathematics), Head of the Department of Higher Mathematics;
Senior Researcher
42, Moskovskaya st., Kazan, 420111
A. A. Salamatin
Russian Federation
Artur A. Salamatin – Cand. Sci. (Physics and Mathematics), Senior Researcher;
Senior Researcher
35, Kremlevskaya st., Kazan, 420008
A. D. Yarullin
Russian Federation
Airat D. Yarullin – Engineer
5, Karl Marks st., Kazan, 420111
S. A. Usmanov
Russian Federation
Sergey A. Usmanov – Deputy Director, Hard-to-Recover Reserves Simulation Research and Educational Center, Institute of Geology and Petroleum Technology
4, Bolshaya Krasnaya st., Kazan, 420111
V. V. Saveliev
Russian Federation
Vladislav V. Savelev – Engineer
4, Bolshaya Krasnaya str., Kazan, 420111
V. A. Sudakov
Russian Federation
Vladislav A. Sudakov – Deputy Director of the Institute for Innovations, Director of Hard-to-Recover Reserves Simulation Research and Educational Center, Institute of Geology and Petroleum Technology
4, Bolshaya Krasnaya st., Kazan, 420111
A. P. Roschektaev
Russian Federation
Alexey P. Roshchektaev – Chief Expert
75-79, build. D, Moyka River emb., Saint Petersburg, 190000
E. V. Yudin
Russian Federation
Evgeny V. Yudin – Product Development Program Director
75-79, build. D, Moyka River emb., Saint Petersburg, 190000
D. S. Vorobyov
Russian Federation
Daniil S. Vorobyev – Head of the Integrated Modeling Sector
43a, Mira st., Salekhard, 629002
V. V. Sorokina
Russian Federation
Valeriya V. Sorokina – Specialist
75-79, build. D, Moyka River emb., Saint Petersburg, 190000
A. A. Sveshnikova
Russian Federation
Anastasia A. Sveshnikova – Specialist
75-79, build. D, Moyka River emb., Saint Petersburg, 190000
References
1. Davarpanah A, Mirshekari B. (2018). A simulation study to control the oil production rate of oil-rim reservoir under different injectivity scenarios. Energy Reports, 2018(4), pp. 664–670. https://doi.org/10.1016/j.egyr.2018.10.011
2. Dupuit J. (1863). Études Théoriques et Pratiques sur le Mouvement des Eaux dans les Canaux Découverts et a Travers les Terrains Perméables (Theoretical and Practical Studies on Water Movement in Open Channels and across Permeable Terrains); Second edition; Dunod: Paris, France, pp. 229–293.
3. Gao F., Han L. (2012). Implementing the Nelder-Mead simplex algorithm with adaptive parameters. Computational Optimization and Applications. 51(1), pp. 259–277. https://doi.org/10.1007/s10589-010-9329-3
4. Liskovets O.A. (1965). Method of lines. Differential equations, 1:12, pp. 1662–1678. (In Russ.).
5. Mjaavatten A., Aasheim R. (2006). A model for gas coning and rate-dependent gas/oil ration in an oil-rim reservoir. SPE Russian Oil and Gas Technical Conference and Exhibition, pp. 1–6. https://doi.org/10.2118/102390-MS2006
6. Nash S.G. (1984). Newton-Type Minimization Via the Lanczos Method. SIAM Journal of Numerical Analysis, 21, pp. 770–778. https://doi.org/10.1137/0721052
7. Storn R., Price K. (1997). Differential Evolution – a Simple and Efficient Heuristic for Global Optimization over Continuous Spaces. Journal of Global Optimization, 11, pp. 341–359. https://doi.org/10.1023/A:1008202821328
Review
For citations:
Shevchenko D.V., Salamatin A.A., Yarullin A.D., Usmanov S.A., Saveliev V.V., Sudakov V.A., Roschektaev A.P., Yudin E.V., Vorobyov D.S., Sorokina V.V., Sveshnikova A.A. Numerical-analytical modeling of oil extraction from oil fields with a gas cap using horizontal wells with automatic history matching. Georesursy = Georesources. 2023;25(4):58-68. (In Russ.) https://doi.org/10.18599/grs.2023.4.10