Multiscale process coupling by adaptive fractional stepping: An in-situ combustion model

Proceedings - SPE Symposium on Improved Oil Recovery

Volumn 1, Issue , 2006, Pages 18-32

  Younis, R ^a   Gerritsen, M ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HEAT CONDUCTION; MASS TRANSFER; PARAMETER ESTIMATION; PROBLEM SOLVING; REACTION KINETICS; SPECIFIC HEAT;

CONCENTRATION EQUATIONS; DE-COUPLE ACCUMULATION; FRACTIONAL TIME-STEPPING; IN-SITU COMBUSTION MODEL;

COMBUSTION;

EID: 33745686199     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2523/93458-ms     Document Type: Conference Paper

References (26)

1. Gerritseri, M., et al.: "Experimental Investigation and High-Resolution Simulator for In-Situ Combustion Processes; 1. Simulator Design and Improved Combustion - with Metallic Additives" SPE 86962, presented at the SPE International Thermal Operations and Heavy Oil Symposium, Bakersfield, 16-18 March, 2004.
2. Sammon, P.H.: "Dynamic Grid Refinement and Amalgamation for Compositional Simulation," SPE 79683, presented at SPE Reservoir Simulation Symposium, Houston, 3-5 Feb., 2003.
3. Nilsson, J., Gerritsen, M., Younis, R.: "An Adaptive, High-Resolution Simulation for Steam-Injection Processes," SPE 93881, presented at SPE Western Regional Meeting, Irvine, Mar. 30 - Apr. 01, 2005.
4. Akkutlu, I.Y., Yortsos, Y.C.: "The Effect of Heterogeneity on In-Situ Combustion: Propagation of Combustion Fronts in Layered Porous Media," SPE 75128, SPE J., Vol. 10, No. 4, p.394-404.
5. Coffey, T.S., Kelley, C.T., Keyes, D.E.: "Psuedotransient Continuation and Differential-Algebraic Equations," SIAM J. Sci. Comput., Vol. 25, No. 9, pp. 553-569.
6. Watson, L.T.: "Globally Convergent Homotopy Algorithms for Nonlinear Systems of Equations," Nonlinear Dynamics 1; 143-191, 1990.
7. Ahmad, I., Berzins, M.: "An Algorithm for ODEs from Atmospheric Dispersion Problems," Appl. Numer. Math., vol 25, pp. 137-149.
8. Kearfott, R.B., Dian, J., Neumaier, A.: "Existence Verification for Singular Zeros of Complex Nonlinear Systems," SIAM J. Numer. Anal., vol 38, No. 2, pp. 360-379.
9. Moore, R.G. et al.: "A comparison of the laboratory in-situ combustion behavior of Canadian oils," presented at 6th UNITAR Conference on Heavy Crude and Tar Sands, Houston, Feb. 12-17, 1995.
10. Cristofari, J., Castanier, L. M., and Kovscek, A. R.: "Laboratory Investigation of the Effect of Solvent Injection on In-Situ Combustion", SPE 99752 to be presented at 2006 Conference on Improved Oil Recovery, Apr. 23-27.
11. Prats, M., "Thermal Recover", SPE Monograph, vol. 7, 1986.
12. Fassihi, M.R.: "Analysis of Fuel Oxidation in In-Situ Combustion Oil Recovery," PhD Thesis, Stanford University, 1981.
13. Yanenko, N.N.: "The Method of Fractional Steps", Springer, Berlin, 1971.
14. Reinout, G., Quispel, W.: "Splitting Methods," Acta Numerica, pp. 341-434, 2002.
15. LeVeque, R.J., Oliger, J.: "Numerical MethodsBased on Additive Splittings for Hyperbolic Partial Differential Equations" Mathematics of Computation, Vol. 40, No. 162, pp. 469-497 (1983).
16. Hundsdorfer, W., Verwer, J.: "Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations" Springer, Series on Computation, 33, 2003.
17. Aziz, K., Settari, A.: "Petroleum Reservoir Simulation."
18. LeVeque, R.J.: "Intermediate Boundary Conditions for LOD, ADI and Approximate Factorization Methods," ICASE Report, 85-21, Langley Research Center, 1985.
19. Fairweather, G., Mitchell, A.R.: "A New Computational Procedure for ADI Methods," SIAM J. Numer. Anal., vol. 4, pp. 163-170, 1967.
20. Mallison, B., Gerritsen, M., Jessen, K. and Orr, F.M. Jr: "High Order Upwind Schemes for Two-Phase, Multicomponent Flow," SPE J. 2005.
21. Douglas, J., Pereira, F., Yeh, L.M.: "A locally conservative Eulerian-Lagrangian numerical method and its application ot nonlinear transport in porous media," Computational Geosiences, 4, (2000), 1-40.
22. Wang, H., Liang, D., Ewing, R.E., Lyons; S.L.; and Qin: "An ELLAM approximation for highly compressible multicomponent flows in porous media," Computational Geosciences, 6 (2002).
23. Kristensen, M R., Gerritsen, M., Thomsen, P.G., Michelsen, M.L., and Stenby, E.H.: "Efficient Reaction Integration for In-Situ Combustion Simulation," submitted to SPE-ATCE 2006.
24. Gerritsen, M., and Lambers, J.: "A specialized upscaling method for adaptive grids; Tight Integration of Local-Global Upscaling and Adaptivity leads to Accurate Solutions of Flow in Heterogeneous Formations," submitted to Computational Geosciences, 2006.
25. Richtmyer, R.D., Morton, K.W.: "Difference Methods For initial-Value Problems," Krieger Publishing.Company, 1967.
26. Sanz-Serna, J.M., Calvo, M.P.: "Numerical Hamiltionian Problems," Applied Mathematics and Methematical Computation, vol. 7, Chapman & Hall, 1994.