Miscible, vertical network model 2-D simulations of two-phase flow displacements in porous media

Physica A: Statistical Mechanics and its Applications

Volumn 343, Issue 1-4, 2004, Pages 317-334

  Stevenson, Kristen ^a,b   Bromhal, Grant S ^a   Ferer, Martin ^a,b   Wilder, Joseph ^a,b   Smith, Duane H ^a,b  

^a NATIONAL ENERGY TECHNOLOGY LABORATORY   (United States)

^b WEST VIRGINIA UNIVERSITY   (United States)

Author keywords

Buoyancy driven instability; Miscible drainage; Pore level modeling; Viscosity ratio

Indexed keywords

CAPILLARY FLOW; COMPUTER SIMULATION; GRAVITATION; MATHEMATICAL MODELS; PHASE TRANSITIONS; SOLUBILITY; VISCOSITY OF LIQUIDS;

BUOYANCY DRIVEN INSTABILITY; MISCIBLE DRAINAGE; PORE-LEVEL MODELING; VISCOSITY RATIOS;

MESOPOROUS MATERIALS;

EID: 4544347700     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2004.05.075     Document Type: Article

References (29)

1. R. Lenormand, E. Touboul, C. Zarcone, Numerical models and experiments on immiscible displacements in porous media, J. Fluid. Mech. 189 (1988) 165-187.
2. J. Chen, D. Wilkinson, Pore-scale viscous fingering in porous media, Phys. Rev. Lett. 55 (18) (1985) 1892-1895.
3. R.J. Blackwell, J.R. Rayne, W.M. Terry, Factors influencing the efficiency of miscible displacement, Trans. AIME 216 (1959) 1-8.
4. F. Stalkup Jr., Status of Miscible Displacement, Soc. Pet. Eng. Monograph 8 (1983) 815-826.
5. A.J. DeGregoria, A predictive Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio, Phys. Fluids 28 (1985) 2933.
6. A.J. DeGregoria, Monte Carlo simulation of two-fluid flow through porous media at finite mobility ratio - the behavior of cumulative recovery, Phys. Fluids 29 (1986) 3557.
7. C. van der Poel, Effect of lateral diffusivity on miscible displacement in horizontal reservoirs, S.P.E. J. Trans. AIME 225 (1962) 317-321.
8. F.J. Fayers, T. Newley, Detailed validation of an empirical model for viscous fingering with gravity effects, S.P.E. Res. Eng. (1988) 542-550.
9. H.A. Tchelepi, F.M. Orr Jr., The interaction of viscous fingering, permeability heterogeneity and gravity segregation in 3D, S.P.E. 25235 Symposium on Reservoir Simulation New Orleans, Louisiana, February 28-March 3, 1993, pp. 1-10.
10. R.B. Pandey, D. Stauffer, R. Seyfarth, L.A. Cueva, J.F. Gettrust, W. Wood, Density profile and flow of miscible fluid with dissimilar constituent masses, Physica A 310 (2002) 325.
11. R.G. Hawthorne, Two-phase flow in two-dimensional systems-effects of rate, viscosity and density on fluid displacement in porous media, S.P.E. J. 219 (1960) 81.
12. R.L. Slobod, The effects of gravity segregation in laboratory studies of miscible displacement in vertical unconsolidated porous media, S.P.E. J. (1964) 1-8.
13. 2 with Enhanced Oil Recovery: Miscible-Vertical Network Model Simulations, Pittsburgh Coal Conference, September 15-19, 2003.
14. R.A. Wooding, Growth of fingers at an unstable diffusing interface in a porous medium or Hele-Shaw cell, J. Fluid. Mech. 39 (1969) 477-495.
15. O. Manickam, G.M. Homsy, Fingering instabilities in vertical miscible displacement flows in porous media, J. Fluid. Mech. 288 (1995) 75-102.
16. F.J. Hickernell, Y.C. Yortsos, Linear stability of miscible displacement processes in porous media in the absence of dispersion, Stud. Appl. Math. 74 (93) (1986) 93-115.
17. D. Loggia, N. Rakotomalala, D. Salin, Y.C. Yortsos, Evidence of new instability thresholds in miscible displacements in porous media, Europhys. Lett. 32 (1995) 633.
18. D. Loggia, D. Salin, Y.C. Yortsos, The effect of dispersion on the stability of non-monotonic mobility profiles in porous media, Phys. Fluids 10 (1998) 747.
19. P. Kurowski, C. Misbah, S. Tchourkine, Gravitational instability of a fictitious front during mixing of miscible fluids, Europhys. Lett. 29 (1995) 75.
20. M. Ferer, G. Bromhal, D.H. Smith, Pore-level modeling of immiscible drainage: validation in the invasion percolation and DLA limits, Physica A 319 (2003) 11-35.
21. M. Ferer, W.N. Sams, R.A. Geisbrecht, D.H. Smith, The fractal nature of viscous fingering in two-dimensional pore level models, A.I.Ch.E. J. 49 (1995) 749.
22. S.E. Buckley, M.C. Leverett, Mechanism of fluid displacement in sands, Trans. AIME 146 (1942) 187-196.
23. E.J. Koval, A method for predicting the performance of unstable miscible displacement in heterogeneous media, S.P.E. J. (1963) 145-154.
24. M. Ferer, W.N. Sams, R.A. Geisbrecht, D.H. Smith, Crossover from fractal to compact flow from simulations of two-phase flow with finite viscosity ratio in two-dimensional porous media, Phys. Rev. E 47 (1993) 2713-2723.
25. M. Ferer, D.H. Smith, Dynamics of growing interfaces from the simulation of unstable flow in random media, Phys. Rev. E 49 (1994) 4114-4120.
26. G.M. Homsy, Viscous fingering in porous media, Ann. Rev. Fluid. Mech. 19 (1987) 271.
27. V.M. Freytes, A. D'Onofrio, M. Rosen, C. Allain, J.P. Hulin, Gravity driven instabilities in miscible non-Newtonian fluid displacements in porous media, Physica A 290 (2001) 286.
28. 2 flooding, paper presented at the SPE/DOE Fifth Symposium on Enhanced Oil Recovery of the Society of Petroleum Engineers and the Department of Energy held in Tulsa OK, April 20-23, SPE/DOE 14895, 1986.
29. S. Hill, Channelling in packed columns, Chem. Eng. Sci. 53 (1952) 247.