Development of the Rodsim numerical simulator for the study of a sucker rod pump, comparing the Gibbs (1963) and Lea (1990) models

Autores

DOI:

https://doi.org/10.21712/lajer.2024.v11.n1.p12-23

Palavras-chave:

Rod Column, Dynamometric chart, Numerical simulation, Sucker rod pump

Resumo

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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Biografia do Autor

Fernando Cyrilo de Oliveira, Halliburton

Engenheiro de Operações, Halliburton, Macaé, RJ, Brasil

Oldrich Joel Romero, Universidade Federal do Espírito Santo

Professor do Programa de Pós-graduação em Energia da Ufes.

Referências

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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

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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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Publicado

05-06-2024

Como Citar

Cyrilo de Oliveira, F., & Romero, O. J. (2024). Development of the Rodsim numerical simulator for the study of a sucker rod pump, comparing the Gibbs (1963) and Lea (1990) models. Latin American Journal of Energy Research, 11(1), 12–23. https://doi.org/10.21712/lajer.2024.v11.n1.p12-23

Edição

Seção

Petróleo e Gás Natural

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