Absorption Rate and Volume Dependency on the Complexity of Porous Network Structures

Transport in Porous Media

Volumn 54, Issue 1, 2004, Pages 79-106

  Gane, Patrick A C ^a   Ridgway, Cathy J ^a   Schoelkopf, Joachim ^a  

^a OMYA INTERNATIONAL AG   (Switzerland)

Author keywords

Absorption; Complexity factor; Equivalent hydraulic radius; Imbibition; Lucas Washburn; Network model

Indexed keywords

ALGORITHMS; CORRELATION METHODS; HYDRAULICS; MORPHOLOGY; PORE SIZE; POROSITY; POROUS MATERIALS; SURFACE CHEMISTRY; VISCOSITY;

CUBIC PORES;

ABSORPTION;

ABSORPTION; FLOW MODELING; IMBIBITION; POROUS MEDIUM;

EID: 0742323460     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025767702279     Document Type: Article

References (40)

1. Batten, G. L.: 1984, Liquid imbibition in capillaries and packed beds, J. Colloid Inter. Sci. 102, 513-518.
2. Bell, J. M. and Cameron, F. K.: 1906, The flow of liquids through capillary spaces, J. Phys. Chem. 10, 658-674.
3. Bosanquet, C. H.: 1923, On the flow of liquids into capillary tubes, Philos. Mag., Ser. 6 45, 525-531.
4. Chibowski, E. and Holysz, L.: 1997, On the use of Washburn's equation for contact angle determination, J. Adhes. Sci. Techno. 1289-1301.
5. Dube, M., Rost, M. and Alava, M.: 2000, Conserved dynamics and interface roughening in spontaneous imbibition: a critical review, Eur. Phys. J. B 15, 691-699.
6. Einset, E. O.: 1996, Capillary infiltration rates into porous media with applications to Silcomp processing, J. Am. Ceram. Soc. 79, 333-338.
7. Fisher, L. R. and Lark, P. D.: 1979, An experimental study of the Washburn equation for liquid flow in very fine capillaries, J. Colloid Interf. Sci. 69, 486-492.
8. Gane, P. A. C.: 2001a, Mineral pigments for paper: structure, function and development potential (Part I), Wochenbl. Papierfabr., 110-116.
9. Gane, P. A. C.: 2001b, Mineral pigments for paper: structure, function and development potential (Part II), Wochenbl. Papierfabr., 176-179.
10. Gane, P. A. C., Kettle, J. P., Matthews, G. P. and Ridgway, C. J.: 1996, Void space structure of compressible polymer spheres and consolidated calcium carbonate paper-coating Formulations, Ind. Eng. Chem. Res. 35, 1753-1764.
11. Gane, P. A. C., Schoelkopf, J., Spielmann, D. C., Matthews, G. P. and Ridgway, C. J.: 2000, Fluid transport into porous coating structures: some novel findings, Tappi J. 83, 77-78.
12. Ichikawa, N. and Satoda, Y.: 1994, Interface dynamics of capillary flow in a tube under negligible gravity condition, J. Colloid Interf. Sci. 162, 350-355.
13. LeGrand, E. J. and Rense, W. A.: 1945, Data on rate of capillary rise, J. Appl. Phys. 16, 843-847.
14. Letelier, M. F. and Leutheusser, H. J.: 1979, Refined mathematical analysis of the capillary penetration problem, J. Colloid Interf. Sci. 72, 465-470.
15. Levine, S., Lowndes, J., Watson, E. J. and Neale, G.: 1980, A theory of capillary rise of a liquid in a vertical cylindrical tube and in a parallel-plate channel, J. Colloid Interf. Sci. 73, 136-151.
16. Levine, S., Reed, P., Watson, E. J. and Neale, G.: 1976, A Theory of the Rate of Rise of a Liquid in a Capillary, Academic Press, New York.
17. Li, Z., Giese, R. F., van Oss, C. J., Kerch, H. M. and Burdette, H. E.: 1994, Wicking technique for determination of pore size in ceramic materials, J. Am. Ceram. Soc. 77, 2220-2222.
18. Lucas, R.: 1918, Ueber das Zeitgesetz des kapillaren aufstiegs von fluessigkeiten, Kolloid Z. 23, 15-22.
19. Marmur, A. and Cohen, R. D.: 1997, Characterization of porous media by the kinetics of liquid penetration: the vertical capillaries model, J. Colloid Interf. Sci. 189, 299-304.
20. Martic, G., Gentner, F., Seveno, D., Coulon, D. and DeConinck, J.: 2000, The Washburn equation at the microscopic scale, in: Proceedings of the 6th International Symposium on Evaluation of Reservoir Wettability and its Effect on Oil Recovery, Soccoro, Mexico.
21. Matthews, G. P., Ridgway, C. J. and Small, J. S.: 1996, Modelling of simulated clay precipitation within reservoir sandstones, Mar. Petrol. Geol. 13, 581-589.
22. Matthews, G. P., Ridgway, C. J. and Spearing, M. C.: 1995, Void space modeling of mercury intrusion hysteresis in sandstone, paper coating, and other porous media, J. Colloid Interf. Sci. 171, 8-27.
23. Moshinskii, A. I.: 1997, Consideration of inertial force in capillary rise of a Newtonian liquid in a cylindrical tube, Colloid J. 59, 62-67.
24. Ostwald, W.: 1908, Kolloid Z. (Suppl. Heft II).
25. Peat, D. M. W., Matthews, G. P., Worsfold, P. J. and Jarvis, S. C.: 2000, Simulation of water retention and hydraulic conductivity in soil using a three-dimensional network, Eur. J. Soil Sci. 51, 65-79.
26. Quere, D.: 1997, Inertial capillarity, Europhys. Lett. 39, 533-538.
27. Rideal, E. K.: 1922, On the flow of liquids under capillary pressure, Phil Mag. Ser. 6 44, 1152-1159.
28. Ridgway, C. J. and Gane, P. A. C.: 2002, Dynamic absorption into simulated porous structures, Colloids Surf. A: Physicochem. Eng. Aspects 206, 217-239.
29. Ridgway, C. J., Gane, P. A. C. and Schoelkopf, J.: 2002, Effect of capillary element aspect ratio on the dynamic imbibition with porous networks, J. Colloid Interf. Sci. 252, 373-382.
30. Ridgway, C. J., Ridgway, K. and Matthews, G. P.: 1997, Modelling of the void space of tablets compacted over a range of pressures, J. Pharm. Pharmacol. 49, 377-383.
31. Ridgway, C. J., Schoelkopf, J., Matthews, G. P., Gane P. A. C. and James, P. W.: 2001, The effects of void geometry and contact angle on the absorption of liquids into porous calcium carbonate structures, J. Colloid Interf. Sci. 239, 417-431.
32. Schoelkopf, J., Ridgway, C. J., Gane, P. A. C., Matthews, G. P. and Spielmann, D. C.: 2000a, Measurement and network modelling of liquid permeation into compacted mineral blocks, J. Colloid Interf. Sci. 227, 119-131.
33. Schoelkopf, J., Gane, P. A. C., Ridgway, C. J. and Matthews, G. P.: 2000b, Influence of inertia on liquid absorption into paper coating structures, Nordic Pulp Pap. Res. J. 15, 422-430.
34. Schoelkopf, J., Gane, P. A. C., Ridgway, C. J. and Matthews, G. P.: 2002, Practical observation of deviation from Lucas-Washburn scaling in porous media, Colloids Surf. A: Physicochem. Eng. Aspects 206, 445-454.
35. Sorbie, K. S., Wu, Y. Z. and McDougall, S. R.: 1995, The extended Washburn equation and its application to the oil/water pore doublet problem, J. Colloid Interf. Sci. 289-301.
36. Szekely, J., Neumann, A. W. and Chuang, Y. K.: 1971, The rate of capillary penetration and the applicability of the Washburn equation, J. Colloid Interf. Sci. 35, 273-278.
37. Taylor, S. C., Hall, Ch., Hoff, W. D. and Wilson, M. A.: 2000, Partial wetting in capillary liquid absorption by limestones, J. Colloid Interf. Sci. 351-357.
38. van Oss, C. J., Giese, R. F., Li, Z., Murphy, K., Norris, J., Chaudhury, M. K. and Good, R. J.: 1992, Determination of contact angles and pore sizes of porous media by column and thin layer wicking, J. Adhes. Sci. Technol. 413-428.
39. Washburn, E. W.: 1921, The dynamics of fluid flow, Phys. Rev. 17, 273-283.
40. Yang, Y.-W, Zografi, G. and Miller, E. E.: 1988, Capillary flow phenomena and wettability in porous media, J. Colloid Interf. Sci. 122, 35-46.