Home DE ES FR


Advanced Search

Our On-Line PhDs

Submit a Thesis
My Account Register Help

About
Fields
Mathematics and Applications
Information and Communication Sciences and Technologies
Physics, Optics
Materials Science, Mechanics and Mechanical Engineering
Fluid Mechanics and Energy
Chemistry, Physical Chemistry and Chemical Engineering
Life Sciences and Engineering
Earth Sciences and Environmental Engineering
Sciences of Economy, Management and Society
Etude des instabilités dans les puits activés par gas-lift

Sinegre, Laure (2006) Etude des instabilités dans les puits activés par gas-lift. PhD thesis Mathématiques et Automatique, CAS- Centre Automatique et Systèmes, ENSMP p.127.

Full text available as:

- Thesis_LS28sept2006.pdf ( 1594 Kb )
Licence: Copyright

Abstract

Les puits pétroliers activés par gas-lift sont souvent sujet à des comportements instables qui ne peuvent être décrits par les lois de l'hydro-statique. L'objectif du travail présenté dans ce mémoire est l'analyse de la dynamique de ces puits, en particulier lorsqu'ils produisent par à-coups. Elle aboutit à la conception de solutions de contrôle adaptées.

Nous commençons par décrire brièvement les principes de l'activation des puits par gas-lift et soulignons l'impact très négatif des instabilités sur les volumes de pétrole produits. Il existe deux principaux mécanismes susceptibles d'engendrer ces productions par

à-coups. Nous les mettons en évidence à partir d'enregistrements temps-réel issus de sites de production. Le premier mécanisme, connu dans la littérature, est expliqué grâce à des bilans de masses. Nous montrons, grâce à une analyse des propriétés du champ de vecteurs, que ce phénomène s'interprète géométriquement comme un cycle limite. La principale contribution de ce mémoire consiste en la description et l'analyse du second mécanisme, très mal connu auparavant. Nous montrons que le retard lié aux temps de propagation des fluides dans le puits induit le déphasage à l'origine de cette instabilité. L'étude de ces deux instabilités se poursuit par la présentation d'un modèle complet et compact de la dynamique du puits. Il s'agit de l'interconnection d'un système du premier ordre stable avec un système à paramètres distribués. Il permet d'attribuer, grâce au théorème des petits gains, la cause des instabilités observées à deux boucles de rétroaction potentiellement positives. Ce modèle nous permet de développer des solutions de contrôle, inspirées de la structure physique du puits et respectant les contraintes opérationnelles. L'efficacité de ces stratégies est illustrée par des résultats de simulations réalistes. Une partie des solutions a également été testée, en ligne, sur site de production.

Certains résultats obtenus, très encourageants, sont présentés.

Item Type:PhD Thesis (PhD)
Additional Information:Thèse réalisée en collaboration avec l'entreprise TOTAL
Thesis Supervisor:Petit, Nicolas
Date:20 September 2006
Board of examiners:Sepulchre, Rodolphe and Foss, Bjarne and Richard, Jean-Pierre
Discipline:Mathématiques et Automatique
Collection (Fonds):ENSMP
Institution:ENSMP
Department:CAS- Centre Automatique et Systèmes
Subjects:1. Mathematics and Applications
Uncontrolled Keywords:Process control, Dynamic systems, Limit cycles, Switching system, gas-lifted Well, Density-wave, Stabilization, distributed parameters model. Contrôle de procédés, Systèmes dynamiques, Cycle limite, Système à switch, Puits activés en gas-lift, Density-wave, Stabilisation, Modèles à paramètres distribués.

References

[1]

[2] "Standard handbook of petroleum and natural gas engineering,"

W. C. Lyons, Ed. Gulf Professional Publishing, 1996.

[3] O. M. Aamo, G. O. Eikrem, H. Siahaan, and B. Foss, "Observer design for multiphase flow in vertical pipes with gas-lift - theory and experiments," Journal of Process Control, vol. 15, pp. 247-257,

2005.[4] F. J. S. Alhanati, Z. Schmidt, D. R. Doty, and D. D. Lageref, "Continuous gas-lift instability: diagnosis, criteria, and solutions," in 68th

Annual Technical Conference and Exhibition, no. SPE 26554, Houston,

TX, October 1993.

[5] H. Asheim, "Criteria for gas-lift stability," Journal of Petroleum

Technology, pp. 1452-1456, November 1988.

[6] ——, "Criteria for gas-lift stability," Journal of Petroleum Technology, pp. 1452-1456, 1988.

[7] E. F. Blick and L. Boone, "Stabilization of naturally flowing oil wells using feedback control," in Proc. of the 56th California Regional meeting of the Society of Petroleum Engineers, no. SPE 15096, Oakland,

California, 1986.

[8] E. F. Blick, P. N. Enga, and P. C. Lin, "Theoretical stability analysis of flowing oil wells and gas-lift wells," SPE Production Engineering, pp. 508-514, 1988.

[9] E. F. Blick and A. B. Nelson, "Root locus stability analysis of a flowing oilwell feedback controller," in Proc. of the SPE Production

Operations Symposium, no. SPE 18874, Oklahoma City, Oklahoma,

1988.[10] F. Brauer and J. A. Nohel, The qualitative theory of ordinary differential equations. An introduction. Dover Publications, INC. , New

York, 1989.

[11] K. E. Brown, Gas lift theory and practice. Petroleum publishing

CO., Tulsa, Oklahoma, 1973.

[12] H. Cholet, Well production. Practical handbook. Editions TECHNIP,

2000.[13] A. J. Chorin and J. E. Marsden, A mathematical introduction to fluid mechanics. Springer-Verlag, 1990.

[14] R. F. Curtain and H. J. Zwart, An introduction to infinitedimensional linear systems theory, ser. Text in Applied Mathematics,

21. Springer-Verlag, 1995.

[15] M. Dalsmo, E. Halvorsen, and O. Slupphaug, "Active feedback of unstable wells at the Brage field," in SPE Annual technical Confererence and Exhibition, no. SPE 77650, 2002.

[16] W. J. G. J. der Kinderen, C. L. Dunham, and H. N. J. Poulisse,

"Real-time artificial lift optimisation," in Proc. of the 8th Abu Dhabi

International Petroleum Exhibition and Conference, 1998.

[17] E. Duret, "Dynamique et contrôle des écoulements polyphasiques,"

Ph.D. dissertation, École des Mines de Paris, 2005.

[18] G. O. Eikrem, B. Foss, L. Imsland, B. Hu, and M. Golan, "Stabilization of gas-lifted wells," in Proc. of the 15th IFAC World Congress,

2002.[19] G. O. Eikrem, L. Imsland, and B. Foss, "Stabilization of gas-lifted wells based on state estimation," in International Symposium on

Advanced Control of Chemical Processes, 2004.

[20] J. Faustinelli, G. Bermœdez, and A. Cuauro, "A solution to instability problems in continuous gas-lift wells offshore lake Maracaibo," in Latin American and Caribbean petroleum engineering conference,

Caracas, Venezuela, no. SPE 53959, 1999.

[21] J. K. Hale and S. M. V. Lunel, Introduction to functional differential equations. Springer-Verlag, 1993.

[22] I. A. Hiskens, "Stability of limit cycles in hybrid systems," in Proc.

of the 34th Hawaii International Conf. on System Sciences, 2001.

[23] B. Hu and M. Golan, "Gas-lift instability resulted production loss and its remedy by feedback control: dynamical simulation results," in SPE International Improved Oil Recovery Conference in Asia Pacific, no. SPE 84917, Kuala Lumpur, Malaysia, 2003.

[24] L. S. Imsland, "Topics in nonlinear control - ouput feedback stabilization and control of positive systems," Ph.D. dissertation, Norwegian

University of Science and Technology, Department of Engineering and Cybernetics, 2002.

[25] L. S. Imsland, B. A. Foss, and G. O. Eikrem, "State feedback control of a class of positive systems: application to gas lift stabilization," in Proc. of the 7th European Control Conf., 2003.

[26] B. Jansen, M. Dalsmo, K. Havre, L. Nøkleberg, V. Kritiansen, and

P. Lemétayer, "Automatic control of unstable gas-lifted wells," in

SPE Annual technical Confererence and Exhibition, no. SPE 56832,

Houston,Texas, 1999.

[27] H. K. Khalil, Nonlinear Systems. MacMillan, 1992.

[28] P. Lemétayer and P. M. Miret, "Tool of the 90's to optimize gaslift efficiency in the Gonelle field, Gabon," SPE Annual technical Confererence and Exhibition., no. SPE number: 23089, September

1991.[29] W. C. Lyons and G. J. Plisga, Standard handbook of petroleum and natural gas engineering. Gulf Professional Publishing, 2005.

[30] F. Mazenc, "A specific linear system with delays," Private Communication,

December 2005.

[31] R. K. Miller and A. N. Michel, Ordinary differential equations. Academic

Press, 1982.

[32] Scandpower, OLGAr2000 User's Manual. Scandpower, 2004.

[33] S. N. Simic, K. H. Johansson, J. Lygeros, and S. Sastry, "Hybrid limit cycles and hybrid Poincaré-Bendixon," in Proc. of the 15th

IFAC World Congress, 2002.

[34] L. Sinègre, "Paramétrage de l'algorithme de contrôle fcw pour la conduite des puits activés en gas-lift," École des Mines, Paris, option de fin d'étude, Tech. Rep., July 2000.

[35] L. Sinègre, N. Petit, and P. Lemétayer, "Active control strategy for density-wave in gas-lifted wells," in Proc. of the International Symposium on Advanced Control of Chemical Processes, 2006.

[36] L. Sinègre, N. Petit, P. Lemétayer, P. Gervaud, and P. Ménégatti,

"Casing heading phenomenon in gas lifted well as a limit cycle of a

2 d model with switches," in Proc. of the 16th IFAC World Congress,

2005.[37] ——, "Contrôle des puits activés en gas-lift," in 10th Congress of

Société Française du Génie des Procédés, 2005.

[38] L. Sinègre, N. Petit, and P. Ménégatti, "Predicting instabilities in gas-lifted wells simulation," in Proc. of the 2006 American Control

Conf.

[39] ——, "Distributed delay model for density wave dynamics in gas lifted wells," in Proc. of the 44th IEEE Conf. on Decision and Control, to appear, 2005.

[40] G. Stépán, Retarded dynamical systems: stability and characteristic functions, ser. Pitman Research Notes in Math. Series. UK:

Longman Scientific, 1989.

[41] G. Takács, Gas lift manual. PennWell Corporation, 2005.

[42] T. Tokar, Z. Schmidt, and C. Tuckness, "New gas lift valve design stabilizes injection rates: case studies," in SPE annual technical conference and exhibition, no. SPE 36597, Denver,Colorado, 1996.

[43] A. J. Torre, Z. Schmidt, R. N. Blais, D. R. Doty, and J. P. Brill,

"Casing heading in flowing wells," in SPE Production Operations

Symposium, no. SPE 13801, Oklahoma City, Oklahoma, 1987.

[44] Z. G. Xu and M. Golan, "Criteria for operation stability of gas lift,"

SPE paper, no. 19362, 1989.

[45] B. Yeten, L. J. Durlofsky, and A. Khalid, "Optimization of smart well control," in Proceedings of the SPE International Thermal Operations and Heavy Oil Symposium and International Horizontal Well

Technology Conference, no. SPE number 79031, Alberta, Canada,

2002.

Table of content

Remerciements

Introduction

1. Process description and problematic

Description du procédé et problématique

1.1. Operations description

1.2. Operating conditions and efficiency

2. A dynamical system approach to the study of instabilities

Une approche dynamique de l'analyse des instabilités

2.1. The casing-heading instability

2.2. The Density wave instability

2.3. Global study of unstable phenomena

3. Control solutions

Solutions de contrôle

3.1. State of the art

3.2. Controlling the tubing dynamics using gas inlet as input

3.3. Controlling the tubing dynamics using the production choke as input

3.4. Controlling the well dynamics using production choke as input

Conclusion

A. OLGAr2000 simulations settings

B. Nomenclature

List of figures

Bibliography

ID Code:1938
Deposited By:Laure SINEGRE
Deposited On:06 November 2006

Statistiques de consultation

Repository Staff Only: edit this item

© ParisTech 2007 - Réalisé par RILK.com - Graphisme par Winch Communication