Development of the Rodsim numerical simulator for the study of a sucker rod pump, comparing the Gibbs (1963) and Lea (1990) models
DOI:
https://doi.org/10.21712/lajer.2024.v11.n1.p12-23Keywords:
Rod Column, Dynamometric chart, Numerical simulation, Sucker rod pumpAbstract
It is of great importance to be fully cognizant of the sucker rod pump system in order to make reliable production forecasts and to evaluate potential strategies for optimizing production processes. A frequently employed methodology in such circumstances is numerical simulation. A numerical sucker road pump simulator can provide valuable insights into production performance by generating dynamometric charts that represent the efficiency of this activity. Since the rod column behaves like a thin rod, it is possible to represent the mathematical model by a one-dimensional wave equation that describes the forces acting on this rod column. Lea (1990), proposing an improvement of the work of Gibbs (1963), considers the effects of the viscosity of the fluid produced in a vertical well without heat exchange, the piston diameter, the production column and the rods to obtain the damping factor, thus being more complete and producing a more accurate result in the dynamometric charts. Both models are implemented and discussed herein.
The equations are discretized and solved in the Matlab® environment. The code includes a graphical user interface that generates the internal Rodsim application. The application is used to solve a typical case of a sucker rod pump and to obtain the surface and downhole dynamometric plots for certain scenarios.
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References
Bellarby, J (2009) ‘Well Completion Design’, Jordan Hill, OX: Elsevier (DPS 56).
Costa, RO (2009) ‘Curso de Bombeio Mecânico’ (in Portuguese), Petrobras.
Doty, DR, Schmidt, Z (1983) ‘An improved model for sucker rod pumping’, SPE Journal, 23(1), 33-41. https://doi.org/10.2118/10249-PA DOI: https://doi.org/10.2118/10249-PA
Gomes, HP (2009) ‘Desenvolvimento de um sistema inteligente para a análise de cartas dinamométricas no método de elevação por bombeio mecânico’ (in Portuguese). Masters dissertation, Federal University of Rio Grande do Norte, Natal, RN, Brazil.
Guo, B, Lyons, WC, and Ghalambor, A (2007) ‘Petroleum Production Engineering: A Computer-Assisted Approach’. Burlington, MA: Gulf Professional Publishing. DOI: https://doi.org/10.1016/B978-075068270-1/50005-0
Lea, JF (1990) ‘Modeling forces on a bean pump system when pumping highly viscous crude’, SPE Production Engineering, 6(4), 420-426. https://doi.org/10.2118/20672-PA DOI: https://doi.org/10.2118/20672-PA
Lima, FS, Guedes, LAH, and Silva, DR (2009) ‘Detecção de falhas no sistema de Bombeio Mecânico utilizando descritores de Fourier e ferramentas estatísticas’ (in Portuguese), Simpósio Brasileiro de Automação Inteligente. Aracaju, SE: Petrobras, 2009.
Romero, OJ, Almeida, P (2014) ‘Numerical simulation of the sucker-rod pumping system’, Ingeniería e Investigación, 34(3), 4-11. https://doi.org/10.15446/ing.investig.v34n3.40835 DOI: https://doi.org/10.15446/ing.investig.v34n3.40835
Gibbs, SG (1963) ‘Predicting the Behavior of Sucker-Rod Pumping Systems’, Journal of Petroleum Technology, 15(7), 769-778. https://doi.org/10.2118/588-PA DOI: https://doi.org/10.2118/588-PA
Rowlan, OL, Mccoy, JN, and Podio, AL (2005) ‘Best method to balance torque loadings on a pumping unit gearbox’, Journal of Canadian Petroleum Technology – JCPT, 44(7): 27-33. https://doi.org/10.2118/05-07-TN3 DOI: https://doi.org/10.2118/05-07-TN3
Schmidt, Z, and Doty, DR (1989) ‘System Analysis for Sucker-Rod Pumping’, SPE Production Engineering, 4(2). https://doi.org/10.2118/15426-PA DOI: https://doi.org/10.2118/15426-PA
Silva, WL, Netoy, DGS, Barreto, MA, Lima, AMN, and Oliveira, A (2014) ‘Determining the surface dynamometer card of a pumping system from the torque curve of a three-phase induction motor’. Anais do XX Congresso Brasileiro de Automática (In Portuguese), Belo Horizonte, September. 20-24, 2014.
Tákacs, G (2023) ‘Sucker-rod pumping manual’. Tulsa, Oklahoma: PennWell Books.
Thomas, JW (1995) ‘Numerical partial differential equations: Finite difference methods’. New York, NY: Springer-Verlag. DOI: https://doi.org/10.1007/978-1-4899-7278-1
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