Algorithm for calculating the pressure characteristics of the progressing cavity pump

UDK: 622.276.53
DOI: 10.24887/0028-2448-2021-3-96-100
Key words: progressing cavity pump, elastomer, pressure and flow characteristics, swelling, simulator
Authors: E.O. Timashev (Ufa State Petroleum Technological University, RF, Ufa), M.G. Volkov (RN-BashNIPIneft LLC, RF, Ufa), A.R.Garifullin (RN-BashNIPIneft LLC, RF, Ufa), R.S. Khalfin (Ufa State Petroleum Technological University, RF, Ufa; RN-BashNIPIneft LLC, RF, Ufa), A.R. Brot (RN-BashNIPIneft LLC, RF, Ufa)

The article presents algorithm for calculating the pressure-flow characteristics, which will allow calculating the optimal speed of rotation of a progressing cavity pump (PCP) for oil production, depending on the swelling of the elastomer, the viscosity of the liquid and the gas content. To quantify the deviation of the actual feed and head values from the nominal values, the following coefficients are proposed: the flow deviation coefficient and the maximum pressure deviation coefficient. To quantify the influence of operating factors on the pressure characteristics of the proposed coefficients: the coefficient of swelling elastomer, coefficient of pressure in the working volume, the pressure coefficient on the rotational speed, the coefficient of pressure on the viscosity and the coefficient of pressure on the gas content. Based on analytical studies, it was found that the pressure and flow characteristics of PCP with uneven elastomer thickness significantly depend on the operating parameters. For example, the maximum pressure developed by the pump increases by 2–3 times with an increase in viscosity from 1 to 800 mPa∙s, and with a change in the flow deviation coefficient from 0.979 to 1.11, it decreases by 1.5–2 times. A change in the limit pressure causes a change in the speed of rotation necessary to ensure the calculated values of supply and pressure. The required speed to ensure the design values of supply and pressure for pumps with uneven elastomer thickness depends on operational factors to a greater extent for electric PCP than for sucker-rod screw pumps, with elastomer swelling being the most significant factor. For example, the rotation speed for electric PCP when the elastomer swells by 10 % can be reduced by 30 %, and for sucker-rod screw pump – by 21 %. The proposed algorithm for calculating the characteristics can be used in the development of a software product – a simulator of the pressure-flow characteristics of PCP.


1. Valovskiy V.M., Vintovye nasosy dlya dobychi nefti (Screw pumps for oil extraction), Moscow: Neftyanoe khozyaystvo Publ., 2012, 248 p.

2. Baldenko D.F. Baldenko F.D. Gnoevykh A.N., Odnovintovye gidravlicheskie mashiny (Single screw hydraulic machine), Moscow: Publ. of OOO IRTs Gazprom, 2005, 488 p.

3.  Urazakov K.R., Timashev E.O., Molchanova V.A., Volkov M.G., Spravochnik po dobyche nefti (Handbook of oil production), Perm: Aster Plus Publ., 2020, 600 p.

4. Timashev E.O., Moguchev A.I., Vliyanie natyaga v pare rotor – stator vintovogo zaboynogo dvigatelya na ego rabochie kharakteristiki (Influence of the preload in the rotor-stator pair of the downhole drilling motor on its performance), Proceedings of II All-Russian educational-scientific-methodical conference. Scientific and methodological section, Ufa: Publ. of USPTU, 2004, pp. 203–205.

5. Timashev E.O., Yamaliev V.U., Brot A.R. et al., Bench studies of the performance of single-screw multi-flow pumps at low rotor speeds (In Russ.), Neftegazovoe delo, 2008, no. 6–1, pp. 137–141.

6. Volkov M.G., Khalfin R.S., Brot A.R. et al.,  Method of calculation and selection of designs installations of PCP pumps with submersible and surface drive for oil production (In Russ.), Oborudovanie i tekhnologii dlya neftegazovogo kompleksa, 2018, no. 6, pp. 32–37.

7. Korotaev Yu.A., Alpatov A.N., Trubin A.S. et al., Methods and means of control of gear surfaces of gerotor mechanisms of downhole drilling motors and pumps (In Russ.), Vestnik Assotsiatsii burovykh podryadchikov, 2011, no. 1, pp. 10–14. 

8. Pashali A.A., Mikhaylov V.G., Use of the "virtual flow meter" algorithm in bringing the oil wells on to stable production (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2020, no. 10, pp. 82–85.

9. Gamboa J., Olivet A., Espin S., New approach for modeling progressive cavity pumps performance, SPE-84137-MS, 2003,

10. Agrawal N., Baid R., Mishra L. et al., Quick look methodology for progressive cavity pump sizing and performance monitoring, SPE-178097-MS, 2015.

11. Desheng Zhou, Hong Yuan, Design of progressive cavity pump wells, SPE-113324-MS, 2008,

12. Karassik I.J., Messina J.P., Cooper P., Heald C.C., Pump handbook, McGraw-Hill, 2001, 1789 r.

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