Scaling of capillary, gravity and viscous forces affecting flow morphology in unsaturated porous media

Advances in Water Resources

Volumn 31, Issue 9, 2008, Pages 1129-1136

  Or, Dani ^a  

^a EPFL   (Switzerland)

Author keywords

Bond number; Capillary number; Front morphology; Unstable flow; Viscous fingering

Indexed keywords

AGRICULTURAL ENGINEERING; CHLORINE COMPOUNDS; EQUATIONS OF MOTION; EXTRACTIVE METALLURGY; GRAVITATION; GRAVITATIONAL EFFECTS; POROUS MATERIALS; TRANSPORT PROPERTIES;

BOND NUMBER; CAPILLARY NUMBER; CAPILLARY NUMBERS; COMPLEX FLOWS; CONCISE REPRESENTATIONS; DIMENSIONLESS NUMBERS; EXPERIMENTAL DATA; FLOW MODELLING; FLOW MORPHOLOGY; FLOW REGIMES; FLUID DISTRIBUTIONS; FLUID FRONTS; FRONT MORPHOLOGY; GAS ENTRAPMENTS; GENERAL FORCE; GRAVITATIONAL FORCES; INTERMITTENT FLOWS; MACROSCOPIC TRANSPORT; PHASE CONTENTS; PINNING FORCES; PORE SPACES; PREDICTIVE CAPABILITIES; RICHARDS EQUATION; SCALING RELATIONS; SCALING RELATIONSHIPS; UNSATURATED POROUS MEDIUM; UNSTABLE FLOW; UPPER LIMITS; VISCOUS FINGERING; VISCOUS FORCES;

MORPHOLOGY;

CAPILLARY FRINGE; DISPLACEMENT; FLUID FLOW; MORPHOLOGY; RICHARDSON NUMBER; UNSATURATED MEDIUM;

EID: 50149122065     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.10.004     Document Type: Article

References (32)

1. Amili P., and Yortsos Y.C. Darcian dynamics: a new approach to the mobilization of a trapped phase in porous media. Transp Porous Media 64 (2006) 25-49
2. Auradou H., Måløy K.J., Schmittbuhl J., Hansen A., and Bideau D. Competition between correlated buoyancy and uncorrelated capillary effects during drainage. Phys Rev E 60 (1999) 7224-7234
3. Bico J., and Quere D. Falling slugs. J Colloid Interf Sci 243 1 (2001) 262-264
4. Berkowitz B., and Ewing R.P. Percolation theory and network modeling applications in soil physics. Surv Geophys 19 (1998) 23
5. DiCarlo D.A. Experimental measurements of saturation overshoot on infiltration. Water Resour Res 40 (2004) W04 215 10.1029/2003WR002670
6. Dragila M.I., and Weisbrod N. Parameters affecting maximum fluid transport in large aperture fractures. Adv Water Resour 26 12 (2003) 1219-1228
7. Dullien F.A.L. Porous media fluid transport and pore structure. 2nd ed. (1992), Academic Press, San Diego
8. Eliassi M., and Glass R.J. On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state. Water Resour Res 37 (2001) 2019-2035
9. Extrand C.W., and Kumagai Y. Liquid-drops on an inclined plane - the relation between contact angles, drop shape, and retentive force. J Colloid Interf Sci 170 2 (1995) 515-521
10. Friedman S.P. Dynamic contact angle explanation of flow rate-dependent saturation-pressure relationships during transient liquid flow in unsaturated porous media. J Adhesion Sci Technol 13 (1999) 1495-1518
11. Furrer-Chau J., and Or D. Linking drainage front morphology with gaseous diffusion in unsaturated porous media: A lattice Boltzmann study. Phys Rev E 74 (2006) 056304
12. Geiger S.L., and Durnford D.S. Infiltration in homogeneous sands and a mechanistic model of unstable flow. Soil Sci Soc Am J 64 (2000) 460-469
13. Ghezzehei T.A., and Or D. Liquid fragmentation and intermittent flow regimes in unsaturated fractured media. Water Resour Res 41 (2005) W12406 10.1029/2004WR003834
14. Hilfer R., and Øren P.E. Dimensional analysis of pore scale and field scale immiscible displacement. Transp Porous Media 22 (1996) 53-72
15. Jury W.A., Wang Z., and Tuli A. A conceptual model of unstable flow in unsaturated soil during redistribution. Vadose Zone J 17 (2003) 61-67
16. Lenormand R. Liquids in porous media. J Phys: Condens Matter 2 (1990) SA79-SA88
17. Meheust Y., Lovoll G., Maloy K.J., and Schmittbuhl J. Interface scaling in a two-dimensional porous medium under combined viscous, gravity, and capillary effects. Phys Rev E 66 (2002) 051601-051603
18. Neuweiler I., and Eichel H. Effective parameter functions for the Richards equation in layered porous media. Vadose Zone J 5 (2006) 963-977
19. Nicholl M.J., Glass R.J., and Wheatcraft S.W. Gravity-driven infiltration instability in initially dry nonhorizontal fractures. Water Resour Res 30 9 (1994) 2533-2546
20. Nieber J.L., Bauters T.W.J., Steenhuis T.S., and Parlange J.-Y. Numerical simulation of experimental gravity-driven unstable flow in water repellent sand. J Hydrol (Amsterdam) 231 (2000) 295-307
21. Or D., and Ghezzehei T.A. Traveling liquid bridges in unsaturated fractured porous media. Transp Porous Med 68 (2007) 129-151 10.1007/s11242-006-9060-9
22. Philip J.R. Stability analysis of infiltration. Soil Sci Soc Am Proc 39 (1975) 1042-1049
23. Podgorski T., Flesselles J.M., and Limat L. Corners, cusps, and pearls in running drops. Phys Rev Lett 8703 3 (2001) 6102-NIL_95
24. Prazak J., Sir M., Kubik F., Tywoniak J., and Zarcone C. Oscillation phenomena in gravity-driven drainage in coarse porous-media. Water Resour Res 28 7 (1992) 1849-1855
25. Raats P.A.C. Unstable wetting fronts in uniform and non-uniform soils. Soil Sci Soc Am Proc 36 (1973) 681-685
26. Steinberg S., Kluitenberg G., Jones S.B., Diadzic N., Reddi L., Xiao M., et al. Physical and hydraulic properties of baked ceramic aggregates used for plant growth medium. J Am Soc Hort Sci 130 5 (2005) 767-774
27. Su G.W., Geller J.T., Pruess K., and Wen F. Experimental studies of water seepage and intermittent flow in unsaturated, rough-walled fractures. Water Resour Res 35 4 (1999) 1019-1037
28. Su G.W., Geller J.T., Hunt J.R., and Pruess K. Small-scale features of gravity-driven flow in unsaturated fractures. Vadose Zone J 3 2 (2004) 592-601
29. Wilkinson D. Percolation effects in immiscible displacement. Phys Rev A 30 (1986) 1380-1391
30. Xu B., Yortsos Y.C., and Salin D. Invasion percolation with viscous forces. Phys Rev E 57 1 (1998) 739-751
31. Yortsos Y.C., Xu B., and Salin D. Phase diagram of fully-developed drainage in porous media. Phys Rev Lett 79 (1997) 4581-4584
32. Zhang Y., Shariati M., and Yortsos Y.C. The spreading of immiscible fluids in porous media under the influence of gravity. Transp Porous Media 38 (2000) 117-140