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Theoretical dynamometer card calculation taking into account complications in the sucker rod pump operation

Authors: K.R. Urazakov, R.N. Bakhtizin , S.F. Ismagilov (Ufa State Petroleum Technological University, RF, Ufa) , A.S. Topolnikov (R.R. Mavlyutov Institute of Mechanics, Ufa Scientific Centre of RAS, RF, Ufa)

Key words: dynamometer card, sucker rod pump, dynamic load, valve leakage.

A mathematical model of joint motion of the sucker rod string and plunger in the cylinder at gas-water-oil mixture pumping fr om the deviating hole taking into account complications in the sucker rod pump operation: valve leakage, gas and emulsions effect, improper fit of the plunger in the cylinder. The behavior of dynamic loads on the polished rod at deviations from normal operation of sucker rod pump is predicted with the help of the proposed model. Calculated dynamometer cards are compared with the field measurements.
References
1. Aliev T.M., Ter-Khachaturov A.A., Avtomaticheskiy kontrol' i diagnostika
skvazhinnykh shtangovykh nasosnykh ustanovok (Automatic monitoring
and diagnosis of downhole sucker rod pumping), Moscow: Nedra Publ.,
1988, 130 p.
2. Takhautdinov Sh.F., Farkhullin R.G., Muslimov R.Kh. et al., Obrabotka prakticheskikh dinamogramm na PEVM (Processing of practical dynamometer
cards on PC), Kazan': Novoe znanie Publ., 1976, 76 p.
3. Gibbs S.G., Predicting the behavior of sucker rod pumping systems, JRT,
1963, V. 7, pp. 769-778.
4. Gibbs S.G., Neely A.B., Computer diagnosis of down-hole conditions in
sucker rod pumping wells, JPT, 1966, V.1, pp. 93-98.
5. Virnovskiy A.S., Teoriya i praktika glubinnonasosnoy dobychi nefti (Theory
and practice of bottomhole pumping), Moscow: Nedra Publ., 1971, 184 p.
6. Handbook of Oil Production / K.R. Urazakov, S.E. Zdolnik, M.M. Nagumanov
et al., SPt. Nedra, 2012, 672 p.
7. Urazakov K.R., Dmitriev V.V., Agamalov G.B., Proceedings of 3rd International
Conference and Exhibition “Mekhanizirovannaya dobycha 2006” (Artificial
Lift 2006), Moscow, 29-31 March 2006.
8. Sedov L.I., Mekhanika sploshnoy sredy (Continuum Mechanics), Part 2,
St. Petersburg: Lan' Publ., 2004, 560 p.
9. Urazakov K.R., Molchanova V.A., Topolnikov A.S., Interval, 2007, no. 6 (101), pp. 54-60.
10. Patankar S., Numerical heat transfer and fluid flow, Hemisphere Publishing
Corporation, New York, 1980. 197 p.
11. Hairer E.; Nшrsett S.P., Wanner G., Solving ordinary differential equations I:
Nonstiff problems, Springer London, Lim ited, 1987, 528 p.

Key words: dynamometer card, sucker rod pump, dynamic load, valve leakage.

A mathematical model of joint motion of the sucker rod string and plunger in the cylinder at gas-water-oil mixture pumping fr om the deviating hole taking into account complications in the sucker rod pump operation: valve leakage, gas and emulsions effect, improper fit of the plunger in the cylinder. The behavior of dynamic loads on the polished rod at deviations from normal operation of sucker rod pump is predicted with the help of the proposed model. Calculated dynamometer cards are compared with the field measurements.
References
1. Aliev T.M., Ter-Khachaturov A.A., Avtomaticheskiy kontrol' i diagnostika
skvazhinnykh shtangovykh nasosnykh ustanovok (Automatic monitoring
and diagnosis of downhole sucker rod pumping), Moscow: Nedra Publ.,
1988, 130 p.
2. Takhautdinov Sh.F., Farkhullin R.G., Muslimov R.Kh. et al., Obrabotka prakticheskikh dinamogramm na PEVM (Processing of practical dynamometer
cards on PC), Kazan': Novoe znanie Publ., 1976, 76 p.
3. Gibbs S.G., Predicting the behavior of sucker rod pumping systems, JRT,
1963, V. 7, pp. 769-778.
4. Gibbs S.G., Neely A.B., Computer diagnosis of down-hole conditions in
sucker rod pumping wells, JPT, 1966, V.1, pp. 93-98.
5. Virnovskiy A.S., Teoriya i praktika glubinnonasosnoy dobychi nefti (Theory
and practice of bottomhole pumping), Moscow: Nedra Publ., 1971, 184 p.
6. Handbook of Oil Production / K.R. Urazakov, S.E. Zdolnik, M.M. Nagumanov
et al., SPt. Nedra, 2012, 672 p.
7. Urazakov K.R., Dmitriev V.V., Agamalov G.B., Proceedings of 3rd International
Conference and Exhibition “Mekhanizirovannaya dobycha 2006” (Artificial
Lift 2006), Moscow, 29-31 March 2006.
8. Sedov L.I., Mekhanika sploshnoy sredy (Continuum Mechanics), Part 2,
St. Petersburg: Lan' Publ., 2004, 560 p.
9. Urazakov K.R., Molchanova V.A., Topolnikov A.S., Interval, 2007, no. 6 (101), pp. 54-60.
10. Patankar S., Numerical heat transfer and fluid flow, Hemisphere Publishing
Corporation, New York, 1980. 197 p.
11. Hairer E.; Nшrsett S.P., Wanner G., Solving ordinary differential equations I:
Nonstiff problems, Springer London, Lim ited, 1987, 528 p.


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