85. An improved numerical simulation research for plunger pump in the condition of Newtonian fluid

Mingming Xing

School of Mechanical Engineering, Linyi University, Linyi 276000, China

E-mail: xingmingming2009@126.com

(Received 12 November 2015; received in revised form 1 February 2016; accepted 8 February 2016)

Abstract. The numerical simulation model of pump pressure is important to simulation and optimal design of sucker rod pumping system (SRPS). For now, the pump pressure is solved with the finite difference method, which is too excruciatingly slow to meet simulation and optimization of SRPS. Therefore, an effective differential quadrature method (DQM) is proposed to solve pump pressure in this paper. In the detail, considering oil-gas-water three-phase flow, the differential equation of pressure gradient is built, which matches solving pump pressure with DQM. Considering hydraulic loss and Newtonian fluid leakage, an improved numerical simulation model of pump pressure is established with the first order ordinary differential equation. The new numerical model is verified by comparing it with the available results, and good agreement is found. The results show that the plunger velocity is a key factor affecting hydraulic loss. With plunger velocity increasing, the pump pressure of upstroke is decreasing and the pump pressure of down‑stroke is increasing. With the pump clearance increasing, the delay time of standing valve is increasing on plunger upstroke, and the lead time of traveling valve is increasing on plunger down-stroke. In conclusion, the method that pump pressure is solved with DQM can solve practical engineering problem rightly and efficiently.

Keywords: sucker rod pumping system, Newtonian fluid, numerical simulation, pump pressure, differential quadrature method.

References

[1]        Takacs G., Belhaj H. Latest technological advances in rod pumping allow achieving efficiencies higher than with ESP system. Journal of Canadian Petroleum Technology, Vol. 50, Issue 4, 2011, p. 53‑58.

[2]        Wang S., Long Y., Zhou T., et al. Analysis and countermeasures on the efficiency of the pumping wells system in the old oil-field. SPE Asia Pacific Oil and Gas Conference and Exhibition Held in Jakarta, Indonesia, 2013.

[3]        Xing M. M., Dong S. M. A new simulation model for a beam-pumping system applied in energy saving and resource-consumption reduction. SPE Production and Operations, Vol. 30, Issue 2, 2015, p. 130‑140.

[4]        Gibbs S. G. Predicting the behavior of sucker rod pumping systems. Journal of Petroleum Technology, Vol. 15, Issue 7, 1963, p. 769‑778.

[5]        Gibbs S. G., Neely A. B. Computer diagnosis of down-hole conditions in sucker rod pumping wells. Journal of Petroleum Technology, Vol. 18, Issue 1, 1966, p. 91‑98.

[6]        Juch A. H., Watson R. J. New concepts in sucker rod pump design. Journal of Petroleum Technology, Vol. 21, Issue 3, 1969, p. 342‑354.

[7]        Lu J. H. A New Method of Calculating Plunger Barrel Slippage. Society of Petroleum Engineers. 1989.

[8]        Lea J. F., Cox J. C., Nickens H. V., et al. Wave equation simulation of fluid pound and gas interference. SPE Production Operations Symposium, Oklahoma City, Oklahoma, 2005.

[9]        Zhao H. J. A discussion of the friction between pump plunger and barrel. China Petroleum Machinery, Vol. 21, Issue 2, 1993, p. 34‑37.

[10]     Jeong Y. T., Shah S. N. Analysis of tool joint effects for accurate friction pressure loss calculations. IADC/SPE Conference, Dallas, 2004.

[11]     Benavides Diaz L. C., Ortiz J. A., Gil A. The effect of temperature on the mechanical pump slippage in heavy oil wells with steam injection. SPE Artificial Lift Conference – Americas, Cartagena, Colombia, 2013.

[12]     Wang Z. B., Yingchuan L., et al. A simple numerical model for the prediction of multiphase mass flow rate through chokes. Petroleum Science and Technology, Vol. 29, 2011, p. 2545‑2553.

[13]     Enfis M. S., Ahmed R. M. The hydraulic effect of tool-joint on annular pressure loss. SPE Production Operations Symposium, Oklahoma City, 2011.

[14]     Yang Y., Watson J., Dubljevic S. Modeling and dynamic analysis of the wave equation of sucker‑rod pumping system. SPE Annual Technical Conference and Exhibition. San Antonio Texas, 2012.

[15]     Luan G. H., He Sh L., Zhao H., et al. A prediction model for a new deep rod pumping system. Journal of Petroleum Science and Engineering, Vol. 80, 2011, p. 75‑80.

[16]     Pons V. Optimal stress calculations for sucker-rod pumping systems. SPE Artificial Lift Conference and Exhibition-North America, Houston, USA, 2014.

[17]     Vogel J. V. Inflow performance relationships for solution-gas drive wells. Journal of Petroleum Technology, Vol. 20, Issue 1, 1968, p. 83‑92.