Application of the representer method for parameter estimation in numerical reservoir models

Computational Geosciences

Volumn 11, Issue 1, 2007, Pages 73-85

  Przybysz Jarnut, Justyna K ^a,b   Hanea, Remus G ^c   Jansen, Jan Dirk ^d   Heemink, Arnold W ^c  

^a Laboratory of Acoustical Imaging and Sound Control   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^d DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Adjoint method; Automatic history matching; Euler Lagrange equations; One dimensional two phase flow; Representer method

Indexed keywords

ERRORS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; RESERVOIRS (WATER); TWO PHASE FLOW; VARIATIONAL TECHNIQUES; WATER WELLS;

DATA ASSIMILATION; ERROR ANALYSIS; FLOW MODELING; GAUSSIAN METHOD; NUMERICAL MODEL; OPTIMIZATION; PARAMETERIZATION; PERMEABILITY; RESERVOIR; TWO PHASE FLOW;

EID: 33847398702     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-006-9035-5     Document Type: Article

References (15)

1. Aziz, K., Settari, A.: Petroleum Reservoir Simulation. Applied Science Publishers LTD, London (1979)
2. Bennett, A.F.: Inverse Methods in Physical Oceanography. Cambridge University Press, New York (1992)
3. Bennett, A.F.: Inverse Modelling of the Ocean and Atmosphere. Cambridge University Press, Cambridge (2002)
4. Bennett, A.F., Muccino, J.C.: Generalized inversion of the Kortweg-de Vries Equation. Dyn. Atmos. Ocean. 35, 227-263 (2002)
5. Chavent, G.M., DuPuy, M., Lemonnier, P.: History matching by use of optimal control theory. SPE J. 15 (1), 74-86 (1975)
6. Chen, W.H., Gavalas, G.R., Seinfeld, J.H., Wasserman, M.L.: A new algorithm for automatic history matching. SPE J. 593-608 (1974)
7. Courant, R., Hilbert, D.: Methods of Mathematical Physics. Interscience Publishers, Inc., New York (1966)
8. Jazwinski, A.H.: Stochastic Processes and Filtering Theory. Academic Press, New York (1970)
9. Li, R., Reynolds, A.C., Oliver, D.S.: History matching of three-phase flow production data. SPE J. 8 (4), 328-340 (2003)
10. Peaceman, D.W.: Fundamentals of Numerical Reservoir Simulation. Elsevier Scientific Publishing Company, Amsterdam (1977)
11. Przybysz-Jarnut, J.K.: Application of the Representer Method to Identify Uncertain Parameters in Large Scale Numerical Reservoir Models. MSc. thesis, Delft University of Technology, The Netherlands (2004)
12. Reid, L.B.: A Functional Inverse Approach for Three-Dimensional Characterization of Subsurface Contamination. PhD thesis, Massachusetts Institute of Technology, USA (1996)
13. Talagrand, O., Courtier, P.: Variational assimilation of meteorological observations with adjoint vorticity equation, I. Theory. Q.J.R. Meteorol. Soc. 113, 1311-1328 (1987)
14. Valstar, J.R.: Inverse Modelling of Groundwater Flow and Transport. PhD thesis, Delft University of Technology, The Netherlands (2001)
15. Hanea, R.G., Heemink, A.W., Velders, G.J.M.: Data assimilation of ground level ozone in Europe with a Kalman filter and chemistry transport model. J. Geophys. Res. 109, D 10302 (2004)