Effect of No-Flow Boundaries on Viscous Fingering in Porous Media of Large Aspect Ratio

SPE Journal

Volumn 3, Issue 3, 1998, Pages 285-291

  Yang, Zhengming ^a   Yortsos, Yanis C ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BOUNDARY CONDITIONS; MECHANICAL PERMEABILITY; POROUS MATERIALS; VISCOUS FLOW;

TRANSVERSE EQUILIBRIUM; VISCOUS FINGERING;

PETROLEUM RESERVOIR EVALUATION;

EID: 0032165305     PISSN: 1086055X     EISSN: None     Source Type: Journal    
DOI: 10.2118/51257-pa     Document Type: Article

References (30)

1. Homsy, G.M.: "Viscous Fingering in Porous Media," Annual Review of Fluid Mechanics (1987) 19, 271.
2. Araktingi, U.G. and Orr, Jr. F.M.: "Viscous Fingering in Heterogeneous Porous Media," SPE Advanced Technology Series (April 1993) 71.
3. Manickam, O. and Homsy, G.M.: "Stability of Miscible Displacements in Porous Media With Nonmonotonic Viscosity Profiles," Phys. Fluids A (1993) 5, No. 6, 1356.
4. Waggoner, J.R., Castillo, J.L., and Lake, L.W.: "Simulation of EOR Processes in Stochastically Generated Permeable Media," SPEFE (June 1992) 173; Trans., AIME, 293.
5. Waggoner, J.R., Castillo, J.L., and Lake, L.W.: "Simulation of EOR Processes in Stochastically Generated Permeable Media," SPEFE (June 1992) 173; Trans., AIME, 293.
6. Sorbie, K.S. et al.: "Flow Regimes in Miscible Displacements in Heterogeneous Correlated Random Fields," SPE Advanced Technology Series (April 1994) 78.
7. Zimmerman, W.B. and Homsy, G.M.: "Nonlinear Viscous Fingering in Miscible Displacement With Anisotropic Dispersion," Phys. Fluids A (1991) 3, No. 8, 1859.
8. Christie, M.A.: "High-Resolution Simulation of Unstable Flow in Porous Media," SPERE (August 1989) 874; Trans., AIME, 287.
9. Christie, M.A.: "High-Resolution Simulation of Unstable Flow in Porous Media," SPERE (August 1989) 874; Trans., AIME, 287.
10. Coats, K.R., Dempsey, J.R., and Henderson, J.H.: "The Use of Vertical Equilibrium in Two-Dimensional Simulation of Three-Dimensional Reservoir Performance," SPEJ (March 1971) 63; Trans., AIME, 251.
11. Coats, K.R., Dempsey, J.R., and Henderson, J.H.: "The Use of Vertical Equilibrium in Two-Dimensional Simulation of Three-Dimensional Reservoir Performance," SPEJ (March 1971) 63; Trans., AIME, 251.
12. Lake, L.W.: Enhanced Oil Recovery, Prentice Hall, New York City (1989).
13. Yang, Z.M. and Yortsos, Y.C.: "A Study of the Asymptotic Regimes of Displacements in Porous Media Flows," Proc. Mathematical Modelling of Flow Through Porous Media, World Scientific, Singapore (1995) 358-377.
14. Yang, Z.M. and Yortsos, Y.C.: "Asymptotic Regimes in Miscible Displacements in Random Porous Media," paper SPE 35456 presented at the 1996 SPE/DOE Symposium on Improved Oil Recovery, Tulsa, Oklahoma, 21-24 April.
15. Dykstra, H. and Parsons, R.L.: "The Prediction of Oil Recovery by Waterflooding," Secondary Recovery of Oil in the United States, 2nd ed., American Petroleum Inst., New York City (1950) 160-174.
16. Yang, Z.M.: "Application of Transverse Flow Equilibrium in Miscible Displacements," PhD dissertation, U. of Southern California, Los Angeles (1995).
17. Morris, M.I. and Ball, R.C.: "Renormalization of Miscible Flow Functions," J. Phys. A: Math. Gen. (1990) 23, No. 19, 4199.
18. Joseph, D.D. and Renardy, Y.Y.: Fundamentals of Two-Fluid Dynamics, Springer-Verlag, New York City (1992).
19. Yortsos, Y.C.: "A Theoretical Analysis of Vertical Equilibrium," paper SPE 22612 presented at the 1991 SPE Annual Technical Conference and Exhibition, Dallas, 6-9 October.
20. Sweby, P.K.: "High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws," SIAM J. Numerical Analysis (1984) 21, No. 5, 995.
21. King, K.J. et al.: "Rapid Evaluation of the Impact of Heterogeneity on Miscible Gas Injection," paper SPE 26079 presented at the 1993 SPE Western Regional Meeting, Anchorage, 26-28 May.
22. Thiele, M.R., Blunt, M.J., and Orr, F.M. Jr.: "A New Technique for Predicting Flow in Heterogeneous Systems Using Streamtubes," paper SPE 27834 presented at the 1994 SPE/DOE Symposium on Improved Oil Recovery, Tulsa, Oklahoma, 17-20 April.
23. Meiburg, E. and Homsy, G.M.: "Nonlinear Unstable Viscous Fingers in Hele-Shaw Flows. II. Numerical Simulation," Phys. Fluids (1988) 31, No. 3, 429.
24. Yee, H.C. and Warming, R.F.: "Implicit Total Variation Diminishing (TVD) Schemes for Steady-State Calculations," J. Comp. Phys. (1985) 57, No. 3, 327.
25. Yang, Z.M. and Yortsos, Y.C.: "Asymptotic Solutions of Miscible Displacement in Geometries of Large Aspect Ratio," Phys. Fluids (1997) 9, No. 2, 286.
26. Tan, C.T. and Homsy, G.M.: "Stability of Miscible Displacements in Porous Media: Rectilinear Flow," Phys. Fluids (1986) 29, No. 11, 3549.
27. Lantz, R.B.: "Quantitative Evaluation of Numerical Diffusion (Truncation Error)," SPEJ (September 1971) 315; Trans., AIME, 251.
28. Lantz, R.B.: "Quantitative Evaluation of Numerical Diffusion (Truncation Error)," SPEJ (September 1971) 315; Trans., AIME, 251.
29. Slattery, J.C.: Momentum, Energy and Mass Transfer in Continua, McGraw Hill, New York City (1972).
30. Brock, D.C. and Orr, F.M. Jr.: "Flow Visualization of Viscous Fingering in Heterogeneous Porous Media," paper SPE 22614 presented at the 1991 SPE Annual Technical Conference and Exhibition, Dallas, 6-9 October.