Dynamics of the water-oil front for two-phase, immiscible flow in heterogeneous porous media. 1 - Stratified media

Transport in Porous Media

Volumn 56, Issue 3, 2004, Pages 283-303

  Artus, Vincent ^a   Nœtinger, Benoît ^a   Ricard, Ludovic ^a  

^a IFP ENERGIES NOUVELLES   (France)

Author keywords

Crossflow; Geostatistics; Heterogeneity; Stability analysis; Upscaling; Viscous coupling; Waterflooding

Indexed keywords

DYNAMICS; POROUS MATERIALS; PRESSURE CONTROL; SATURATION (MATERIALS COMPOSITION); STOCHASTIC CONTROL SYSTEMS; VISCOUS FLOW;

SATURATION MAP; VISCOUS COUPLING; WATER-OIL FRONT;

SOLUBILITY;

IMMISCIBLE FLUIDS; POROUS MEDIUM; WATER-HYDROCARBON SYSTEM;

EID: 2942571198     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:TIPM.0000026085.38271.2e     Document Type: Article

References (32)

1. Ahmadi, A.: 1992, Utilisation des propriétés équivalentes dans les modèles de réservoir: cas des écoulements diphasiques incompressibles, Thèse de Doctorat, Université de Bordeaux 1.
2. Artus, V. and Noetinger, B.: 2002, Macrodispersion approach for upscaling two-phase, immiscible flows in heterogeneous porous media, 8th European Conference for the Mathematics of Oil Recovery, Freidelberg, Germany.
3. Barker, J. W. and Thibeau, S.: 1996, A critical review of the use of pseudo relative permeabilities for upscaling, Paper SPE 35491, presented at the European 3-D Reservoir Modelling Conference held in Stavanger, Norway.
4. Batycky, R., Blunt, M. J. and Thiele, M. L.: 1996, A 3D field-scale streamline-based Reservoir Simulator SPE RE, November 1997.
5. Chuoke, R. L., Van Meurs, P. and Van der Poel, C.: 1959, The instability of slow, immiscible, viscous liquid-liquid displacements in permeable media, T. AIME 216, 188-194.
6. Coats, K. H., Dempsey, J. R. and Henderson, J. H.: 1971, The use of vertical equilibrium in two-dimensional simulation of three-dimensional reservoir performance, SPE J. 63-71.
7. Cvetkovic, V. and Dagan, G.: 1996, Reactive transport and immiscible flow in geological media. II-Applications, Proc. R. Soc. London 452, 303-328.
8. Dagan, G.: 1989, Flow and Transport in Porous Formations, Springer-Verlag, Berlin, Heidelberg.
9. Dagan, G. and Cvetkovic, V.: 1996, Reactive transport and immiscible flow in geological media. I-General theory. Proc. R. Soc. London 452, 285-301.
10. Durlofsky, L. J.: 1997, Use of higher moments for the description of upscaled, process independent relative permeabilities, Paper SPE 37987 presented at the SPE Reservoir Simulation Symposium held in Dallas, Texas.
11. Dykstra, H. and Parsons, R. L.: 1950, Secondary Recovery of Oil in the US. API.
12. Ekrann, S. and Aasen, J. O.: 2000, Steady-state upscaling. Transport Porous Media 41, 245-262.
13. Fitzmorris, R. E., Kelsey, F. J. and Pande K. K.: 1992, Effect of crossflow on sweep efficiency in water/oil displacement in heterogeneous reservoirs, Paper SPE 24901, 67th Annual Technical Conference and Exhibition of the SPE held in Washington, DC, 4-7 October.
14. Furtado, F. and Pereira, F.: Crossover from nonlinearity controlled to heterogeneity controlled mixing in two-phase porous media flows, Computational Geosciences (submitted).
15. Gelhar, L. W.: 1993, Stochastic Subsurface Hydrology, Prentice Hall, Inc.
16. Hagoort, J.: 1974, Displacement stability of water drives in water-wet connate-water-bearing reservoirs, Paper SPE 4268.
17. Hearn, C. L.: 1971, Simulation of stratified waterflooding by pseudo-relative permeability curves, J. Petrol. Technol. 805-813.
18. King, M. J. and Dunayevsky, V. A.: 1989, Why waterflood works: a linear stability analysis, Paper SPE 19648, 64th Annual Technical Conference and Exhibition of the SPE held in San Antonio, TX, 8-11 October.
19. Kyte, J. R. and Berry, D. W.: 1975, New pseudo functions to control numerical dispersion, Paper SPE 5105.
20. Langlo, P. and Espedal, M. S.: 1975, Macrodispersion for two-phase, immiscible flow in porous media, Adv. Water Resour. 17, 297-316.
21. Lenormand, R.: 1996, Determining flow equations from stochastic properties of a permeability field: the MHD model, SPE J. 179-190.
22. Le Ravalec, M., Noetinger, B. and Hu, L. Y.: 2000, The FFT moving average (FFT-MA) generator: an efficient numerical method for generating and conditioning gaussian simulations, Math. Geol. 32(6), 701-723.
23. Quintard, M. and Whitaker, S.: 1988, Two-phase flow in heterogeneous porous media: the method of large-scale averaging, Transport Porous Media 3, 357-413.
24. Saffman, P. G. and Taylor, G.: 1958, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. Royal Soc. London A245, 312-329.
25. Simon, A. D. and Koederitz, L. F.: 1982, An improved method for the determination of pseudorelative permeability data for stratified systems, Paper SPE 10975, Annual Fall Technical Conference and Exhibition, New-Orlean, LA.
26. Stiles, W. M. E.: 1949, Use of permeability distribution in waterflood calculations, T. AIME, 9-13 January.
27. Stone, H. L.: 1991, Rigorous black oil pseudo functions, Paper SPE 21207, 11th SPE Symposium on Reservoir Simulation, Anaheim, California.
28. Warren, J. E. and Cosgrove, J. J.: 1964, Prediction of waterflood behavior in a stratified system, SPE Journal 149-157.
29. Yortsos, Y. C.: 1992, Analytical studies for processes at vertical equilibrium, 3rd European Conference on the Mathematics of Oil Recovery, Delft University of Technology, The Netherlands, 17-19 June.
30. Zapata, V. J. and Lake, L. W.: 1981, A theoretical analysis of viscous crossflow, Paper SPE 10111, 56th Annual Fall Technical Conference and Exhibition of the SPE of AIME, San Antonio, Texas, 3-7 October.
31. Zhang, D.: 2001, Stochastic Methods for Flow in Porous Media. Academic Press.
32. Zhang, D. and Tchelepi, H. A.: 1999, Stochastic analysis of immiscible two-phase flow in heterogeneous media, SPE J. 4(4), 380-388.