Pore-Level Investigation of Oil-Mobility Enhancement in Heavy-Oil Reservoirs
- Julian D. Ortiz-Arango (University of Calgary) | Apostolos Kantzas (University of Calgary)
- Document ID
- Society of Petroleum Engineers
- Journal of Canadian Petroleum Technology
- Publication Date
- May 2011
- Document Type
- Journal Paper
- 59 - 74
- 2011. Society of Petroleum Engineers
- 5.3.1 Flow in Porous Media, 5.3.2 Multiphase Flow
- porous medium, viscous coupling, relative permeability, heavy oil, capillary model
- 0 in the last 30 days
- 421 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 5.00|
|SPE Non-Member Price:||USD 35.00|
One of the most important properties for understanding multiphase flow in porous media is relative permeability. In two-phase flow, the relative permeability to a given phase is generally assumed only to be a function of its saturation, independent of the properties of fluids involved and/or flow conditions and ranging from zero to unity.
Considering the physical principles of multiphase flow through porous media, the momentum transfer or viscous coupling appears as a hidden driving mechanism that might lead to higher than expected oil-flow rates.
In an effort to provide a better understanding of oil mobility in heavy-oil reservoirs, a capillary model is used to assess the importance of lubrication in two-phase flow and to determine the effect of the viscous coupling on relative permeabilities. Different cross-sectional geometries are analyzed. The problem is addressed analytically even for the unequal-viscosity case by making use of the Galerkin method. The concept of contact angle is used in the determination of the fluid distribution inside a noncircular channel.
The model results show that the viscosity ratio theoretically affects relative permeabilities, especially in systems involving heavy oil.
|File Size||1 MB||Number of Pages||16|
Ayub, M. and Bentsen, R.G. 1999. Interfacial viscous coupling: a myth orreality? J. Pet. Sci. Eng. 23 (1): 13-26. doi:10.1016/S0920-4105(99)00003-0.
Bretherton, F.B. 1961. The motion of long bubbles in tubes. J. FluidMech. 10 (2): 166-188. doi:10.1017/S0022112061000160.
Corey, A.T. 1954. The interrelation between gas and oil relativepermeabilities. Producers Monthly 19 (November): 38-41.
Ehrlich, R. 1993. Viscous coupling in two-phase flow in porous media and itseffects on relative permeabilities. Transport in Porous Media 11 (3): 201-218.doi: 10.1007/BF00614812.
El-Khatib, N.A.F. 1980. The relative permeabilities of an idealized model oftwo-phase flow in porous media. Applied Mathematical Modelling 4 (6): 163-466. doi:10.1016/0307-904X(80)90179-1.
Fairbrother, F. and Stubbs, A.E. 1935. Studies in electro-endosmosis. PartVI. The "bubble tube" method of measurement. J. of Chem. Soc. (1935):527-529. doi:10.1039/jr9350000527.
Huisman, F. and Mysels, K.J. 1969. The contact angle and the depth of freeenergy minimum in thin liquid films. Their measurement and interpretation.J. Phys. Chem. 73 (3): 489-497. doi: 10.1021/j100723a004.
Leverett, M.C. 1939. Flow of Oil-Water Mixtures through UnconsolidatedSands. SPE-939149-G. Trans., AIME, 132: 149-171.
Maini, B.B. 1998. Is it Futile to Measure Relative Permeability for HeavyOil Reservoirs? J Can Pet Technol 37 (4): 56-62. JCPT PaperNo. 98-04-06. doi:10.2118/98-04-06.
Naar, J. And Henderson, J.H. 1961. An Imbibition Model-Its Application toFlow Behavior and Prediction of Oil Recovery. SPE J. 1 (2):61-70. Trans., AIME, 222. SPE-1550-G. doi: 10.2118/1550-G.
Odeh, A.S. 1959. Effect of Viscosity Ratio on Relative Permeability.SPE-1189-G. Trans., AIME, 216: 346-353.
Rose, W. 1974. Second Thoughts on Darcy's Law. Bulletin of the IranianPetroleum Institute 48: 25-30.
Rose, W. 1991. Critical questions about the coupling hypothesis. J. Pet.Sci. Eng. 5 (4): 299-307. doi:10.1016/0920-4105(91)90049-S.
Schechter, R.S. 1967. The Variational Method in Engineering. NewYork: McGraw-Hill.
Singhal, A.K. and Somerton, W.H. 1970. Two-Phase Flow Through a Non-CircularCapillary At Low Reynolds Numbers. J Can Pet Technol 9 (3):197-205. JCPT Paper No. 70-03-05. doi: 10.2118/70-03-05.
Taylor, G.I. 1961. Deposition of a viscous fluid on the wall of a tube.Journal of Fluid Mechanics 10 (2): 161-165. doi:10.1017/S0022112061000159.
Wyckoff, R.D. and Botset, H.G. 1936. The Flow of Gas-Liquid Mixtures ThroughUnconsolidated Sands. Physics 7 (9): 325-329. doi:10.1063/1.1745402.
Yuster, S.T. 1951. Theoretical consideration of multiphase flow in idealizedcapillary systems. Proc., 3rd World Petroleum Congress, The Hague, 28May-June 6, Vol. II, 437-445.