“Nonlinear Model-Based Control of Unstable Wells”

Authors: Glenn-Ole Kaasa, Vidar Alstad, Jing Zhou and Ole M. Aamo,
Affiliation: Norsk Hydro and NTNU, Department of Engineering Cybernetics
Reference: 2007, Vol 28, No 3, pp. 69-80.

Keywords: Nonlinear control, slugging, backstepping, stabilization

Abstract: This paper illustrates the potential of nonlinear model-based control applied for stabilization of unstable flow in oil wells. A simple empirical model is developed that describes the qualitative behavior of the downhole pressure during severe riser slugging. A nonlinear controller is designed by an integrator backstepping approach, and stabilization for open-loop unstable pressure setpoints is demonstrated. The proposed backstepping controller is shown in simulations to perform better than PI and PD controllers for low pressure setpoints, and is in addition easier to tune. Operation at a low pressure setpoint is desirable since it corresponds to a high production flow rate. The simulation results are presented to illustrate the effectiveness of proposed control scheme.

PDF PDF (437 Kb)        DOI: 10.4173/mic.2007.3.2

DOI forward links to this article:
[1] M. Campos, T. Takahashi, F. Ashikawa, S. Simoes, A. Stender and O. Meien (2015), doi:10.1016/j.ifacol.2015.08.014
[2] Esmaeil Jahanshahi and Sigurd Skogestad (2013), doi:10.1109/CDC.2013.6759989
[3] Esmaeil Jahanshahi, Sigurd Skogestad and Esten I. Grøtli (2013), doi:10.3182/20130904-3-FR-2041.00041
[4] F. Di Meglio, G.-O. Kaasa, N. Petit and Vidar Alstad (2012), doi:10.3182/20120531-2-NO-4020.00029
[5] Mario C M M Campos, Marcelo L Lima, Alex F Teixeira, Cristiano A. Moreira, Alberto S Stender, Oscar F. Von Meien and Bernardo Quaresma (2017), doi:10.4043/28108-MS
[6] Giovani G. Gerevini, Marcelo Farenzena and Jorge O. Trierweiler (2018), doi:10.1016/j.petrol.2018.01.054
[7] Andressa Apio, Jônathan W.V. Dambros, Marcelo Farenzena and Jorge O. Trierweiler (2019), doi:10.1016/j.petrol.2019.106254
[8] Mario C. M. M. Campos, Leonardo D. Ribeiro, Fabio C. Diehl, Cristiano A. Moreira, Douglas Bombardelli, Alain C. Carelli, Gilberto M. J. Junior, Sergio F. Pinto and Bernardo Quaresma (2017), doi:10.4043/28009-MS
[9] Paul Munding, John Hudson and Hamidreza Karami (2020), doi:10.2118/201255-MS
[10] Nayher A. Clavijo, Fabio C. Diehl, Giovani G. Gerevini, Priamo A. Melo, Tiago Lemos, Luiz Felipe de O. Campos and Jose Carlos Pinto (2022), doi:10.1016/j.petrol.2022.110716
[1] Bøe, A. (1986). Severe slugging characteristics ; part i:flow regime for severe slugging ; part ii: Point model simulation study, Presented at Selected Topics in Two-Phase Flow, NTH, Trondheim, Norway.
[2] Dalsmo, M., Halvorsen, E., Slupphaug, O. (2002). Active feedback control of unstable wells at the brage field, SPE Annual Technical Conference and Exhibition, San Antonio, Texas, September 29-October 2, SPE 77650.
[3] Drengstig, T. Magndal, S. (2002). Slug control of production pipeline, In Proceedings of SIMS2001, Porsgrunn, Norway, pp. 361-366.
[4] Eikrem, G. (2006). Stabilization of gas-lift wells by feedback control, Ph.D. thesis, Norwegian University of Science and Technology.
[5] Farghaly, M. (1987). Study of severe slugging in real offshore pipeline riser-pipe system, SPE Journal, SPE 15726.
[6] Godhavn, J.-M., Fard, M., Fucks, P. (2005). New slug control strategies, tuning rules and experimental results, Journal of process control, 15:454-463 doi:10.1016/j.jprocont.2004.10.003
[7] Henriot, V., Courbot, A., Heintz, E., Moyeux, L. (1999). Simulation of process to control severe slugging: Application to dunbar pipeline, SPE Annual Technical Conference and Exhibition. Houston, Texas, 3-6 October, SPE 56461.
[8] Jansen, B., Dalsmo, M., Nkkelberg, L., Havre, K., Kristiansen, V., Lemetayer, P. (1999). Automatic control of unstable gas lifted wells, SPE Annual Technical Conference and Exhibition, Houston, Texas, Oct. 3-6, SPE 56832.
[9] Khalil, H. K. (2002). Nonlinear Systems, 3rd ed, Prentice-Hall, U.S.
[10] Kinvig, J. Molyneux, P. (2001). Slugging control, US patent US6716268.
[11] Kovalev, K., Cruickshank, A., Purvis, J. (2003). The slug suppression system in operation, SPE Journal, SPE 84947.
[12] Kovalev, K., Seelen, M., Haandrikman, G. (2004). Vessel-less S3: advanced solution to slugging pipelines, SPE Journal, SPE 88569.
[13] Lin, P. Y. Hanratty, T. J. (1986). Prediction of the initiation of slugs with linear stability theory, Int. J. Multiphase Flow, 12:79-98 doi:10.1016/0301-9322(86)90005-4
[14] Molyneux, P., Tait, A., Kinvig, J. (2000). Characterisation and active control of slugging in a vertical riser, In Proceedings from BHR Group Conference: multi-phase technology.
[15] Pickering, P., Hewitt, G., Watson, M., Hale, C. (2001). The prediction of flows in production risers - truth and myth?, .
[16] Schmidt, Z., Brill, J., Beggs, H. (1980). Experimental study of severe slugging in a two-phase flow pipeline-riser system, SPE Journal, SPE 8306, pp. 407-414.
[17] Schmidt, Z., Doty, D., Dutta-roy, K. (1985). Severe slugging in offshore pipeline riser-pipe systems, SPE J.
[18] Sinègre, L. (2006). Dynamic study of unstable phenomena stepping in gas-lift activated wells, Ph.D. thesis, Mines Paris.
[19] Storkaas, E. (2005). Stabilizing control and controllability: Control solutions to avoid slug flow in pipeline, Ph.D. thesis, Norwegian University of Science and Technology.
[20] Storkaas, E., Skogestad, S., Godhavn, J.-. (2003). A low-dimensional dynamic model of severe slugging for control design and analysis, In Presented at Multi-phase'03, San Remo, Italy, 11-13.
[21] Taitel, T. (1986). Stability of severe slugging, Int. J. Multi-phase flow, 1.2:203-217.
[22] Taitel, T. Dukler, A. (1975). A model for flow regime transition in horizontal and near horizontal gas-liquid flows, Aiche J., 1.3:47-55.
[23] Tengesdal, J., Sarica, C., Thompson, L. (2003). Severe slugging attenuation for deepwater multiphase pipeline and riser systems, SPE Production and Facilities, 1.4:269-279.
[24] Wilkins, R., Glassmeyer, S., Rosebrock, G., Storage, K., Storage, T. (2003). Surfactant use for slug flow pattern suppression in horizontal pipe, In Proceedings of the 8th International Symposiom on Gas-Liquid Flows: ASME/JSME Joint Fluids Engineering Division Summer Meeting, July 6-10.
[25] Zakarian, E. (2000). Analysis of two-phase flow instabilities in pipe-riser systems, In Proceedings of PVP 2000, July 23-27, Seattle, USA.

  title={{Nonlinear Model-Based Control of Unstable Wells}},
  author={Kaasa, Glenn-Ole and Alstad, Vidar and Zhou, Jing and Aamo, Ole M.},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}