The stability of miscible displacement in porous media: Nonmonotonic viscosity profiles

Physics of Fluids

Volumn 23, Issue 8, 2011, Pages

  Kim, Min Chan ^a   Choi, Chang Kyun ^b  

^a Jeju National University   (South Korea)

^b Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

GROWTH RATE; POROUS MATERIALS; VISCOSITY;

ANALYTICAL APPROACH; MISCIBLE DISPLACEMENT; QUASI STEADY STATE APPROXIMATION; RATE ANALYSIS; STABILITY CONDITION; STABILITY EQUATIONS; UNCONDITIONALLY STABLE; VISCOSITY VARIATIONS;

STABILITY;

EID: 80052334102     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3624620     Document Type: Article

References (22)

1. Hill S. Channelling in packed columns. Chem. Eng. Sci. 1952, 1:247. 10.1016/0009-2509(52)87017-4, ",".
2. Homsy G.M. Viscous fingering in porous media. Annu. Rev. Fluid Mech. 1987, 19:71. 10.1146/annurev.fl.19.010187.001415, ",".
3. Pritchard D. The linear stability of double-diffusive miscible rectilinear displacements in a Hele-Shaw cell. Eur. J. Mech. B/Fluids 2009, 28:564. 10.1016/j.euromechflu.2009.01.004, ",".
4. Mishra M. Trevelyan P.M. J. Almarcha C. De Wit A. Influence of double diffusive effects on miscible viscous fingering. Phys. Rev. Lett. 2010, 105:204501. 10.1103/PhysRevLett.105.204501",".
5. Hejazi S.H. Trevelyan P.M. J. Azaiez J. De Wit A. Viscous fingering of a miscible reactive A B → C interface: A linear stability analysis. J. Fluid Mech. 2010, 652:501. 10.1017/S0022112010000327",".
6. Tan C.T. Homsy G.M. Stability of miscible displacements in porous media: Rectilinear flow. Phys. Fluids 1986, 29:3549. 10.1063/1.865832",".
7. Manickam O. Homsy G.M. Stability of miscible displacements in porous media with nonmonotonic viscosity profiles. Phys. Fluids A 1993, 5:1336. 10.1063/1.858571",".
8. Islam M.N. Azaiez J. Miscible thermo-viscous fingering instability in porous media. Part 1: Linear stability analysis. Transp. Porous Media 2010, 84:821. 10.1007/s11242-010-9555-2",".
9. Loggia D. Salin D. Yortsos Y.C. The effect of dispersion on the stability of non-monotonic mobility profiles in porous media. Phys. Fluids 1998, 10:747. 10.1063/1.869579",".
10. Hickernell F.J. Yortsos Y.C. Linear stability of miscible displacement processes in porous media in the absence of dispersion. Stud. Appl. Math. 1986, 74:93. and ",".
11. Ben Y. Demekhin E.A. Chang H.-C. A spectral theory for small-amplitude miscible fingering. Phys. Fluids 2002, 14:999. 10.1063/1.1446885",".
12. Pritchard D. The instability of thermal and fluid fronts during radial injection in a porous medium. J. Fluid Mech. 2004, 508:133. 10.1017/S0022112004009000, ",".
13. Riaz A. Hesse M. Tchelep H.A. Orr F.M. Onset of convection in a gravitationally unstable diffusive boundary layer in porous media. J. Fluid Mech. 2006, 548:87. 10.1017/S0022112005007494",".
14. Farrell B.F. Ioannou P.J. Generalized stability theory. Part I: Autonomous operators. J. Atmos. Sci. 1996, 53:2025. 10.1175/1520-0469(1996)053<2025:GSTPIA>2.0.CO;2",".
15. Farrell B.F. Ioannou P.J. Generalized stability theory. Part II: Nonautonomous operators. J. Atmos. Sci. 1996, 53:2041. 10.1175/1520-0469(1996)053<2041:GSTPIN>2.0.CO;2",".
16. Slim A.C. Ramakrishnan T.S. Onset and cessation of time-dependent, dissolution-driven convection in porous media. Phys. Fluids 2010, 22:124103. 10.1063/1.3528009",".
17. Yortsos Y.C. Zeybek M. Dispersion driven instability in miscible displacement in porous media. Phys. Fluids 1988, 31:3511. 10.1063/1.866918",".
18. Tan C.T. Homsy G.M. Simulation of nonlinear viscous fingering in miscible displacement. Phys. Fluids 1988, 31:1330. 10.1063/1.866726",".
19. Zimmerman B. Homsy G.M. Nonlinear viscous fingering in miscible displacement with anisotropic dispersion. Phys. Fluids A 1991, 3:1859. 10.1063/1.857916",".
20. De Wit A. Bertho Y. Martin M. Viscous fingering of miscible slices. Phys. Fluids 2005, 17:054114. 10.1063/1.1909188",".
21. Islam M.N. Azaiez J. Miscible thermo-viscous fingering instability in porous media. Part 2: Numerical simulations. Transp. Porous Media 2010, 84:845. 10.1007/s11242-010-9542-7",".
22. Schafroth D. Goyal N. Meiburg E. Miscible displacements in Hele-Shaw cells: Nonmonotonic viscosity profiles. Eur. J. Mech. B/Fluids 2007, 26:444. 10.1016/j.euromechflu.2006.09.001",".