Three-phase flow modelling using pore-scale capillary pressures and relative permeabilities for mixed-wet media at the continuum-scale

Transport in Porous Media

Volumn 81, Issue 3, 2010, Pages 423-442

  Holm, Randi ^a   van Dijke, Marinus I J ^b   Geiger, Sebastian ^b  

^a UNIVERSITY OF BERGEN   (Norway)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Capillary bundle model; Consistent flow functions; Pore and continuum scale modelling; Three phase flow; Wettability

Indexed keywords

CAPILLARY PRESSURES; CYLINDRICAL CAPILLARY TUBES; DISPLACEMENT PATH; DISPLACEMENT PATTERNS; FLOW FUNCTION; FLOW PARAMETERS; GAS INJECTION; OIL RESERVOIRS; OIL SATURATION; PORE- AND CONTINUUM-SCALE MODELLING; PORE-NETWORK MODELS; PORE-SCALE MODEL; RELATIVE PERMEABILITY; SATURATION PROFILES; SCALE MODELS; THREE-PHASE FLOW; TWO PHASE; WET MEDIA;

CAPILLARY TUBES; PETROLEUM RESERVOIR ENGINEERING; PETROLEUM RESERVOIRS; WATER INJECTION;

CAPILLARITY;

CAPILLARY PRESSURE; FLOW MODELING; PERMEABILITY; SATURATION; THREE PHASE FLOW; WETTABILITY;

EID: 76149116855     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9415-0     Document Type: Article

References (35)

1. Abreu E., Douglas J. Jr, Furtado F., Marchesin D., Pereira F.: Three-phase immiscible displacement in heterogeneous petroleum reservoirs. Math. Comput. Simulat. 73, 2-20 (2006).
2. Al-Hadhrami H. S., Blunt M. J.: Thermally induced wettability alteration to improve oil recovery in fractured reservoirs. SPE Reserv. Eval. Eng. 4(3), 179-186 (2001).
3. Alamdari, B. B., LaForce, T., Piri, M.: Impact of self-consistent physically based three-phase relative permeability on oil recovery by secondary gasflooding. In: SPE Annual Technical Conference and Exhibition, Anaheim, California, USA, SPE 110507 (2007).
4. Austad T., Strand S., Madland M. V., Puntervold T., Korsnes R. I.: Seawater in chalk: an EOR and compaction fluid. SPE Reserv. Eval. Eng. 11(4), 648-654 (2008) SPE 118431.
5. Azevedo A. V., Marchesin D., Plohr B., Zumbrun K.: Capillary instability in models for three-phase flow. ZAMP 53, 713-746 (2002).
6. Aziz K.: Petroleum Reservoir Simulation. Applied Science Publishers Ltd., London (1979).
7. Baker, L. E.: Three-phase relative permeability correlations. In: Enhanced Oil Recovery Symposium. Tulsa, OK (1988) SPE.
8. Bell J. B., Trangenstein J. A., Shubin G. R.: Conservation laws of mixed type describing three-phase flow in porous media. SIAM J. Appl. Math. 46(6), 1000-1017 (1986).
9. Blunt M. J.: An empirical model for three-phase relative permeability. SPE J. 5(4), 435-445 (2000).
10. Christensen J. R., Stenby E. H., Skauge A.: Review of WAG field experience. SPE Reserv. Eval. Eng. 4(2), 97-106 (2001) SPE 71203.
11. Corey A. T., Rathjens C. H., Henderson J. H., Wyllie M. R. J.: Three-phase relative permeability. Trans. AIME 207, 349-351 (1956).
12. Dale, E. I.: Modelling of immiscible WAG with emphasis on the effect of capillary pressure. Ph. D. thesis. University of Bergen, Norway (2008).
13. Fenwick D. H., Blunt M. J.: Network modeling of three-phase flow in porous media. SPE J. 3(1), 86-96 (1998).
14. Geiger, S., Matthäi, S. K., Niessner, J., Helmig, R.: Black-oil simulations for three-component-three-phase flow in fractured porous media. SPE J. in press (2009).
15. Guzmán R. E., Fayers F. J.: Mathematical properties of three-phase flow equations. SPE J. 2, 291-300 (1997a).
16. Guzmán R. E., Fayers F. J.: Solutions to the three-phase buckley-leverett problem. SPE J. 2, 301-311 (1997b).
17. Hassanizadeh S. M., Celia M. A., Dahle H. K.: Dynamic effect in the capillary pressure-saturation relationship and its impacts on usaturated flow. Vadose Zone J. 1, 38-57 (2002).
18. Helmig R.: Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems. Springer, Berlin (1997).
19. Holm, R., van Dijke, M. I. J., Geiger, S., Espedal, M.: Consistent capillary pressure and relative permeability for mixed-wet systems in macroscopic three-phase flow simulation. In: 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, 2008.
20. Ivanova, I. S., Sorbie, K. S., van Dijke, M. I. J.: Macroscopic simulation of three phase flow using cosistent pore-level model relative permeabilities and capillary pressures. In: European Conference on the Mathematics of Oil Recovery, Cannes, France, 2004.
21. Jackson M. D., Blunt M. J.: Elliptic regions and stable solutions for three-phase flow in porous media. Transp. Porous Media 48, 249-269 (2002).
22. Juanes R., Patzek T. W.: Relative permeabilities for strictly hyperbolic models of three-phase flow in porous media. Transp. Porous Media 57, 125-152 (2004).
23. Karpyn Z. T., Halleck P. M., Grader A. S.: An experimental study of spontaneous imbibition in fractured sandstone with contrasting sedimentary layers. J. Petrol. Sci. Eng. 67(1-2), 48-56 (2009).
24. Lenhard R. J., Parker J. C.: A model for hysteretic constitutive relations governing multiphase flow. 2. permeability-saturation relations. Water Resour. Res. 23(12), 2197-2206 (1987).
25. Lenhard R. J., Parker J. C.: Experimental validation of the theory of extending two-phase saturation-pressure relations to three-fluid phase systems for monotonic drainage paths. Water Resour. Res. 24(3), 373-380 (1988).
26. Marchesin D., Plohr B. J.: Wave structure in WAG recovery. SPE J. 6(2), 209-219 (2001) SPE 71314.
27. Matthäi S. K., Belayneh M: Fluid flow partitioning between fractures and a permeable rock matrix. Geophys. Res. Lett. 31, 1-5 (2004).
28. Mualem Y.: Hysteretical models for prediction of the hydraulic conductivity of unsaturated porous me. Water Resour. Res. 12(6), 1248-1254 (1976a).
29. Mualem Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12, 513-522 (1976b).
30. Parker J. C., Lenhard R. J.: A model for hysteretic constitutive relations governing multiphase flow. 1. saturation-pressure relations. Water Resour. Res. 23(12), 2187-2196 (1987).
31. Stone H. L.: Probability model for estimating three-phase relative permeability. Trans. SPE AIME 249, 214-218 (1970).
32. Stone H. L.: Estimation of three-phase relative permeability and residual oil data. J. Can. Petrol. Technol. 12(4), 53-61 (1973).
33. van Dijke M. I. J., Sorbie K. S.: An analysis of three-phase pore occupancies and relative permeabilities in porous media with variable wettability. Transp. Porous Media 48, 159-185 (2002).
34. van Dijke M. I. J., McDougall S. R., Sorbie K. S.: Three-phase capillary pressure and relative permeability relationships in mixed-wet systems. Transp. Porous Media 44, 1-32 (2001a).
35. van Dijke M. I. J., Sorbie K. S., McDougall S. R.: Saturation-dependencies of three-phase relative permeabilities in mixed-wet and fractionally wet systems. Adv. Water Resour. 24, 365-384 (2001b).