Drainage in two-dimensional porous media: From capillary fingering to viscous flow

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 4, 2010, Pages

  Cottin, Christophe ^a   Bodiguel, Hugues ^a   Colin, Annie ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FINGERING; CAPILLARY NUMBERS; MICROFLUIDIC TECHNIQUES; NON-WETTING FLUIDS; NUMERICAL SIMULATION; PORE-NETWORK MODELS; POROUS MEDIA; SCALING PROPERTIES;

MULTIPHASE FLOW; SOLVENTS; TWO DIMENSIONAL;

POROUS MATERIALS;

EID: 78651271410     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.046315     Document Type: Article

References (27)

1. A. Bajan, Shape and Structure: From Engineering to Nature (Cambridge University Press, Cambridge, England, 2000).
2. F. A. L. Dullien, Porous Media, Second Edition: Fluid Transport and Pore Structure, 2nd ed. (Academic Press, New York, 1991).
3. N. R. Morrow and F. G. MacCaffrey, in Wetting, Spreading and Adhesion, edited by, J. G. Padday, (Academic, New York, 1978), pp. 289-319.
4. J. Rosinski, Am. Ink. Maker 71, 40 (1993).
5. M. Cil and J. C. Reis, J. Pet. Sci. Eng. 16, 61 (1996). 10.1016/0920-4105(95)00055-0
6. J. P. Stokes, D. A. Weitz, J. P. Gollub, A. Dougherty, M. O. Robbins, P. M. Chaikin, and H. M. Lindsay, Phys. Rev. Lett. 57, 1718 (1986). 10.1103/PhysRevLett.57.1718
7. R. Lenormand and C. Zarcone, Phys. Rev. Lett. 54, 2226 (1985). 10.1103/PhysRevLett.54.2226
8. P. G. De Gennes and E. Guyon, J. Mec. 17, 403 (1978).
9. D. Wilkinson and J. F. Willemsen, J. Phys. A 16, 3365 (1983). 10.1088/0305-4470/16/14/028
10. R. Lenormand, Proc. R. Soc. London, Ser. A 423, 159 (1989). 10.1098/rspa.1989.0048
11. O. I. Frette, K. J. Måløy, J. Schmittbuhl, and A. Hansen, Phys. Rev. E 55, 2969 (1997). 10.1103/PhysRevE.55.2969
12. D. Wilkinson, Phys. Rev. A 34, 1380 (1986). 10.1103/PhysRevA.34.1380
13. E. Aker, K. J. Måløy, and A. Hansen, Phys. Rev. E 58, 2217 (1998). 10.1103/PhysRevE.58.2217
14. E. Aker, K. J. Måløy, and A. Hansen, Phys. Rev. E 61, 2936 (2000). 10.1103/PhysRevE.61.2936
15. M. Ferer, G. S. Bromhal, and D. H. Smith, Phys. Rev. E 71, 026303 (2005). 10.1103/PhysRevE.71.026303
16. M. Ferer, G. S. Bromhal, and D. H. Smith, Phys. Rev. E 76, 046304 (2007). 10.1103/PhysRevE.76.046304
17. B. Xu, Y. C. Yortsos, and D. Salin, Phys. Rev. E 57, 739 (1998). 10.1103/PhysRevE.57.739
18. G. Løvoll, Y. Meheust, R. Toussaint, J. Schmittbuhl, and K. J. Måløy, Phys. Rev. E 70, 026301 (2004). 10.1103/PhysRevE.70.026301
19. M. Ferer, C. Ji, G. S. Bromhal, J. Cook, G. Ahmadi, and D. H. Smith, Phys. Rev. E 70, 016303 (2004). 10.1103/PhysRevE.70.016303
20. M. A. Theodoropoulou, V. Sygouni, V. Karoutsos, and C. D. Tsakiroglou, Int. J. Multiphase Flow 31, 1155 (2005). 10.1016/j.ijmultiphaseflow.2005.06.009
21. V. Berejnov, N. Djilali, and D. Sinton, Lab Chip 8, 689 (2008). 10.1039/b802373p
22. R. Lenormand, E. Touboul, and C. Zarcone, J. Fluid Mech. 189, 165 (1988). 10.1017/S0022112088000953
23. D. Crandall, G. Ahmadi, D. Leonard, M. Ferer, and D. H. Smith, Rev. Sci. Instrum. 79, 044501 (2008). 10.1063/1.2903740
24. We limit ourselves to small heterogeneities of standard deviations lower than the throat size.
25. K. T. Tallakstad, H. A. Knudsen, T. Ramstad, G. Løvoll, K. J. Måløy, R. Toussaint, and E. G. Flekkøy, Phys. Rev. Lett. 102, 074502 (2009). 10.1103/PhysRevLett.102.074502
26. N. Martys, M. Cieplak, and M. O. Robbins, Phys. Rev. Lett. 66, 1058 (1991). 10.1103/PhysRevLett.66.1058
27. N. A. Mortensen, F. Okkels, and H. Bruus, Phys. Rev. E 71, 057301 (2005). 10.1103/PhysRevE.71.057301