Tuning of parameters in a two-phase flow model using an ensemble Kalman filter

International Journal of Multiphase Flow - Tập 29 - Trang 1283-1309 - 2003
R.J. Lorentzen1, G. Nævdal1, A.C.V.M. Lage2
1RF-Rogaland Research, Thormøhlensgt. 55, N-5008 Bergen, Norway
2Petrobras, Research and Development center (CENPES), Cidade Universitária, Q.7 Ilha do Fundão 21949-900, Rio de Janeiro, Brazil

Tài liệu tham khảo

Anderson, 2001, An ensemble adjustment Kalman filter for data assimilation, Monthly Weather Rev., 129, 2884, 10.1175/1520-0493(2001)129<2884:AEAKFF>2.0.CO;2 Bendiksen, 1984, An experimental investigation of the motion of long bubbles in inclined tubes, Int. J. Multiphase Flow, 10, 467, 10.1016/0301-9322(84)90057-0 Bendiksen, K., Malnes, D., Moe, R., Nuland, S., 1991. The dynamic two-fluid model OLGA: Theory and application. SPE Production Engineering Bendiksen, 1996, On the modelling of slug flow, Chem. Eng. Comm., 141–142, 71, 10.1080/00986449608936411 Burgers, 1998, On the analysis scheme in the ensemble Kalman filter, Mon. Weather Rev., 126, 1719, 10.1175/1520-0493(1998)126<1719:ASITEK>2.0.CO;2 Cassaude, B., Fabre, J., Jean, C., Ozon, P., Theron, B., June 1989. Unsteady phenomena in horizontal gas–liquid slug flow. In: Proceedings of the 4th International Conference on Multi-phase Flow. Nice, France, Cranfield, BHRA , pp. 469–484 Cohn, 1997, An introduction to estimation theory, J. Meteorolog. Soc. Jpn., 75, 257, 10.2151/jmsj1965.75.1B_257 Evensen, 1994, Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics, J. Geophys. Res., 99, 10143, 10.1029/94JC00572 Faille, 1999, A rough finite volume scheme for modeling two-phase flow in a pipeline, Computers & Fluids, 213, 10.1016/S0045-7930(98)00023-1 Fjelde, K.K., 2000. Numerical schemes for complex nonlinear hyperbolic systems of equations. Ph.D. thesis, Department of Mathematics, University of Bergen Franca, 1992, The use of drift-flux techniques for the analysis of horizontal 2-phase flows, Int. J. Multiphase Flow, 18, 787, 10.1016/0301-9322(92)90059-P Frøyen, J., Sævareid, O., Vefring, E.H., 2000. Discretization, implementation and testing of a semi-implicit method. Tech. rep., RF–– Rogaland Research, confidential Gavage, S.B., 1991. Analyse numérique des modèles hydrodynamiques d’écoulements diphasiques instationnaires dans les réseaux de production pétrolière. Thèse, ENS Lyon France Hamil, 2001, Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter, Monthly Weather Rev., 129, 2776, 10.1175/1520-0493(2001)129<2776:DDFOBE>2.0.CO;2 Harmathy, 1960, Velocity of large drops and bubbles in media of infinite or restricted extent, AIChE J., 6, 281, 10.1002/aic.690060222 Houtekamer, 1998, Data assimilation using an ensemble Kalman filter technique, Monthly Weather Rev., 126, 796, 10.1175/1520-0493(1998)126<0796:DAUAEK>2.0.CO;2 Ishii, 1975 Kelessidis, 1989, Modeling flow pattern transitions for upward gas–liquid flow in vertical concentric and eccentric annuli, Int. J. Multiphase Flow, 15, 173, 10.1016/0301-9322(89)90069-4 Lage, A.C.V.M., 2000. Two-phase flow models and experiments for low-head and underbalanced drilling. Ph.D. thesis, Stavanger University College, Norway Lage, A.C.V.M., Time, R.W., October 2000. Mechanistic model for upward two-phase flow in annuli. In: The 2000 SPE Annual and Technical Conference and Exhibition. Dallas, Texas, SPE 63127 Lage, A.C.V.M., Fjelde, K.K., Time, R.W., September 2000a. Underbalanced drilling dynamics: Two-phase flow modeling and experiments. In: The 2000 IADC/SPE Asia Pacific Drilling Technology. Kuala Lumpur, Malaysia, IADC/SPE 62743 Lage, A.C.V.M., Frøyen, J., Sævareid, O., Fjelde, K.K., October 2000b. Underbalanced drilling dynamics: Two-phase flow modeling, experiments and numerical solution techniques. In: The Rio Oil & Gas Conference. Rio de Janerio, Brazil, IBP 41400 Lorentzen, R.J., April 2002. Higher order numerical methods and use of estimation techniques to improve modeling of two-phase flow in pipelines and wells. Ph.D. thesis, Department of Mathematics, University of Bergen Lorentzen, R.J., Fjelde, K.K., Frøyen, J., Lage, A.C.V.M., Nævdal, G., Vefring, E.H., 30 September–3 October 2001a. Underbalanced and low-head drilling operations: Real time interpretation of measured data and operational support. In: 2001 SPE Annual Technical Conference and Exhibition. SPE 71384 Lorentzen, R.J., Fjelde, K.K., Frøyen, J., Lage, A.C.V.M., Nævdal, G., Vefring, E.H., 27 February–1 March 2001b. Underbalanced drilling: Real time data interpretation and decision support. In: SPE/IADC Drilling Conference. Amsterdam, The Netherlands, SPE/IADC 67693 Maybeck, 1979, Vol. 1 Nævdal, G., Mannseth, T., Vefring, E.H., 3–6 September 2002a. Instrumented wells and near-well reservoir monitoring through ensemble Kalman filter. In: Proceedings of 8th European Conference on the Mathematics of Oil Recovery. Freiberg, Germany Nævdal, G., Mannseth, T., Vefring, E.H., April 2002b. Near-well reservoir monitoring through ensemble Kalman filter. In: SPE/DOE Improved Oil Recovery Symposium. Tulsa, Oklahoma, SPE 75235 Papadimitriou, D., Shoham, O., April 1991. A mechanistic model for predicting annulus bottomhole pressures in pumping wells. In: 1991 Production Operations Symposium. Oklahoma City, SPE 21669 Pauchon, C.L., Dhulesia, H., Binh-Cirlot, G., Fabre, J., September 1994. Tacite: A transient tool for multiphase pipeline and well simulation. In: The 1994 SPE Annual and Technical Conference and Exhibition. New Orleans, LA, SPE 28545 Taitel, 1983, Counter current gas–liquid vertical flow, model for flow pattern and pressure drop, Int. J. Multiphase Flow, 9, 637, 10.1016/0301-9322(83)90113-1 Théron, B., 1989. Ecoulements diphasique instationnaires en conduite horizontale. Thèse, INP Toulouse, France Verlaan, 2001, Nonlinearity in data assimilation applications: A practical method for analysis, Monthly Weather Rev., 129, 1578, 10.1175/1520-0493(2001)129<1578:NIDAAA>2.0.CO;2 Wallis, 1969