Relating capillary pressure to interfacial areas

Water Resources Research

Volumn 44, Issue 6, 2008, Pages

  Pyrak Nolte, Laura J ^a,b   Nolte, David D ^a   Chen, Daiquan ^b,c   Giordano, Nicholas J ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c UNIVERSITY OF TULSA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AGRICULTURAL ENGINEERING; CAPILLARY FLOW; CAPILLARY TUBES; NANOFLUIDICS; PHASE INTERFACES; TWO DIMENSIONAL; WETTING;

APPLIED PRESSURE; CAPILLARY PRESSURES; DIFFERENTIAL PRESSURE; DRAINAGE PROCESSES; EXPERIMENTAL MEASUREMENTS; INTERFACIAL AREAS; INTERFACIAL CURVATURE; MEASURED VALUES; MECHANICAL EQUILIBRIUM; MICRO-FLUIDIC; PHASE SATURATIONS; POROUS SYSTEMS; SOLID-PHASE; SURFACE NORMALS; TWO-FLUID;

CAPILLARITY;

CAPILLARY PRESSURE; COMPARATIVE STUDY; DRAINAGE; IMBIBITION; POROUS MEDIUM; SATURATION; WETTING;

EID: 49449107740     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006434     Document Type: Article

References (54)

1. Annable, M. D., J. W. Jawitz, P. S. C. Rao, D. P. Dai, H. Kim, and A. L. Wood (1998), Field evaluation of interfacial and partitioning tracers for characterization of effective NAPL-water contact areas, Ground Water, 36(3), 495-503, doi:10.1111/j.1745-6584.1998.tb02821.x.
2. Anwar, A. H. M. F., M. Bettahar, and U. Matsubayashi (2000), A method for determining air-water interfacial area in variably saturated porous media, J. Contam. Hydrol., 43, 129-146, doi: 10.1016/S0169-7722(99)00103-5.
3. Barnes, G. T. and I. R. Gentle (2005), Interfacial Science, Oxford Univ. Press, Oxford, U. K.
4. Bear, J. (1972), Dynamics of Fluids in Porous Media, Dover, Mineola, New York.
5. Bear, J. (1979), Hydraulics of Groundwater, McGraw-Hill, New York.
6. Bear, J. and A. Verruijt (1987), Modeling Groundwater Flow and Pollution, D. Reidel, Dordrecht, Netherlands.
7. Bradford, S. A., and F. J. Leij (1997), Estimating interfacial areas for multifluid soil systems, J. Contam. Hydrol., 27, 83-105, doi:10.1016/S0169-7722(96)00048-4.
8. Chen, D. (2006), Experimental investigation of interfacial geometry associated with multiphase flow within a porous medium, Ph.D. thesis, Dep. of Earth and Atmos. Sci., Purdue Univ., West Lafayette, Indiana.
9. Chen, L., and T. C. G. Kibbey (2006), Measurement of air-water interfacial area for multiple hysteretic drainage curves in an unsaturated fine sand, Langmuir, 22, 6874-6880, doi:10.1021/la053521e.
10. Chen, D., L. J. Pyrak-Nolte, J. Griffin, and N. J. Giordano (2007), Measurement of interfacial area per volume for drainage and imbibition, Water Resour. Res., 43, W12504, doi:10.1029/2007WR006021.
11. Cheng, J. (2002), Fluid flow in ultra-small structures, Ph.D. thesis, Dep. of Phys., Purdue Univ., West Lafayette, Indiana.
12. Cheng, J.-T., L. J. Pyrak-Nolte, D. D. Nolte, and N. J. Giordano (2004), Linking pressure and saturation through interfacial areas in porous media, Geophys. Res. Lett., 31, L08502, doi:10.1029/2003GL019282.
13. Collins, R. E. (1961), Flow of Fluids Through Porous Materials, Reinhold, New York.
14. Colonna, J., F. Brissaud, and J. L. Millet (1972), Evolution of capillary and relative permeability hysteresis, Soc. Pet. Eng. J., 12, 28-38.
15. Costanza-Robinson, M. S., and M. L. Brusseau (2002), Air-water interfacial areas in unsaturated soils: Evaluation of interfacial domains, Water Resour. Res., 38(10), 1195, doi: 10.1029/2001WR000738.
16. Culligan, K. A., D. Wildenschild, B. S. B. Christensen, W. G. Gray, M. L. Rivers, and A. F. B. Tompson (2004), Interfacial area measurements for unsaturated flow through a porous medium, Water Resour. Res., 40, W12413, doi:10.1029/2004WR003278.
17. Culligan, K. A., D. Wildenschild, B. S. B. Christensen, W. G. Gray, and M. L. Rivers (2006), Pore-scale characteristics of multiphase flow in porous media: A synchrotron-based CMT comparison of air-water and oil-water experiments, Adv. Water Resour., 29, 227-238, doi:10.1016/j.advwatres. 2005.03.021.
18. Dalla, E., M. Hilpert, and C. T. Miller (2002), Computation of the interfacial area for two-fluid porous medium systems, J. Contam. Hydrol., 56, 25-48, doi:10.1016/S0169-7722(01)00202-9.
19. Deinert, M. R., J.-Y. Parlange, and K. B. Cady (2005), Simplified thermodynamic model for equilibrium capillary pressure in a fractal porous medium, Phys. Rev. E, 72, 041203, doi:10.1103/PhysRevE.72.041203.
20. Dullien, F. A. L. (1992), Porous Media: Fluid Transport and Pore Structure, 2nd ed., Elsevier, New York.
21. Giordano, N., and J. T. Cheng (2001), Microfluid mechanics: Progress and opportunities, J. Phys. Condens. Matter, 13(15), R271-R295, doi: 10.1088/0953-8984/13/15/201.
22. Gray, W. G., and S. M. Hassanizadeh (1989), Averaging theorems and averaged equations for transport of interface properties in multiphase systems, Int. J. Multiphase Flow, 15(1), 81-95, doi:10.1016/0301-9322(89)90087-6.
23. Gray, W. G., and S. M. Hassanizadeh (1991), Unsaturated flow theory including interfacial phenomena, Water Resour. Res., 27(8), 1855-1863, doi:10.1029/91WR01260.
24. Gray, W. G., and S. M. Hassanizadeh (1998), Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points, Adv. Water Resour, 21, 261-281, doi:10.1016/S0309-1708(96)00063-2.
25. Gray, W. G., and C. T. Miller (2006), Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous media systems: 3. Single-fluid-phase flow, Adv. Water Resour., 29, 1745-1765, doi:10.1016/j.advwatres.2006.03.010.
26. Gvirtzman, H., and P. V. Roberts (1991), Pore-scale spatial analysis of two immiscible fluids in porous media, Water Resour. Res., 27(6), 1165-1176, doi:10.1029/91WR00303.
27. Hassanizadeh, S. M., and W. G. Gray (1990), Mechanics and thermodynamics of multiphase flow in porous-media including interphase boundaries, Adv. Water Resour., 13, 169-186, doi:10.1016/0309-1708(90)90040-B.
28. Hassanizadeh, S. M., and W. G. Gray (1993), Thermodynamic basis of capillary pressure in porous media, Water Resour. Res., 29(10), 3389-3405, doi:10.1029/93WR01495.
29. Held, R. J., and M. A. Celia (2001), Modeling support of functional relationships between capillary pressure, saturation, interfacial area and common lines, Adv. Water Resour., 24, 325-343, doi:10.1016/S0309-1708(00) 00060-9.
30. Ioannidis, M. A., I. Chatzis, and A. C. Payatakes (1991), A mercury porosimeter for investigating capillary phenomena and microdisplacement mechanisms in capillary networks, J. Colloid Interface Sci., 143(1), 22-36, doi:10.1016/0021-9797(91)90434-A.
31. Kalaydjian, F. A. (1987), A macroscopic description of multiphase flow involving space-time evolution of fluid/fluid interfaces, Transp. Porous Media, 2, 537-552.
32. Kim, H., P. S. C. Rao, and M. D. Annable (1999a), Consistency of the interfacial tracer technique: Experimental evaluation, J. Contam. Hydrol., 40, 79-94, doi:10.1016/S0169-7722(99)00030-3.
33. Kim, H., P. S. C. Rao, and M. D. Annable (1999b), Gaseous tracer technique for estimating air-water interfacial areas and interface mobility, Soil Sci. Soc. Am. J., 63, 1554-1560, 199b.
34. Lenhard, R. J. (1992), Measurement and modeling of three-phase saturation-pressure hysteresis, J. Contam. Hydrol., 9, 243-269, doi:10.1016/0169-7722(92)90007-2.
35. McClure, J. E., D. Adalsteinsson, C. Pan, W. G. Gray, and C. T. Miller (2006), Approximation of interfacial properties in multiphase porous medium systems, Adv. Water Resour, 30, 354-365, doi:10.1016/j.advwatres.2006.06. 010.
36. Montemagno, C. D., and W. G. Gray (1995), Photoluminescent volumetric imaging: A technique for the exploration of multiphase flow and transport in porous media, Geophys. Res. Lett., 22(4), 425-428, doi:10.1029/94GL02697.
37. Morrow, N. R. (1970), Physics and thermodynamics of capillary action in porous media, in Flow Through Porous Media, pp. 104-128, Am. Chem. Soc., Washington, D. C.
38. Muccino, J. C., W. G. Gray, and L. A. Ferrand (1998), Toward an improved understanding of multiphase flow in porous media, Rev. Geophys., 36(3), 401-422, doi:10.1029/98RG00878.
39. Nolte, D. D., and L. J. Pyrak-Nolte (1991), Stratified continuum percolation - Scaling geometry of hierarchical cascades, Phys. Rev. A, 44(10), 6320-6333, doi:10.1103/PhysRevA.44.6320.
40. Philip, J. R. (1977), Unitary approach to capillary condensation and adsorption, J. Chem. Phys., 66(11), 5069-5075, doi:10.1063/1.433814.
41. Powers, S. E., C. O. Loureiro, L. M. Abriola, and W. J. Weber Jr. (1991), Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems, Water Resour. Res., 27(4), 463-477, doi:10.1029/91WR00074.
42. Prodanovic, M., W. B. Lindquist, and R. S. Seright (2006), Porous structure and fluid partitioning in polyethylene cores from 3D X-ray microtomographic imaging, J. Colloid Interface Sci., 298, 282-297, doi:10.1016/j.jcis.2005.11.053.
43. Pyrak-Nolte, L. J., N. J. Giordano, and D. D. Nolte (2004), Experimental investigation of relative permeability upscaling from the micro-scale to the macro-scale, final report, U.S. Dep. of Energy, Washington, D. C., doi:10.2172/833410.
44. Rao, P. S. C., M. D. Annable, and H. Kim (2000), NAPL source zone characterization and remediation technology performance assessment: Recent developments and applications of tracer techniques, J. Contam. Hydrol., 45, 63-78, doi:10.1016/S0169-7722(00)00119-4.
45. Rapoport, L. A., and W. J. Leas (1951), Relative permeability to liquid in liquid-gas systems, Pet. Trans., 192, 83-98.
46. Reeves, P. C., and M. A. Celia (1996), A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a pore-scale network model, Water Resour. Res., 32(8), 2345-2358, doi:10.1029/96WR01105.
47. Saripalli, K. P., H. Kim, P. S. C. Rao, and M. D. Annable (1997), Measurement of specific fluid-fluid interfacial areas of immiscible fluids in porous media, Environ. Sci. Technol., 31(3), 932-936, doi:10.1021/es960652g.
48. Schaefer, C. E., D. A. DiCarolo, and M. J. Blunt (2000), Determination of water-oil interfacial area during 3-phase gravity drainage in porous media, J. Colloid Interface Sci., 221, 308-312, doi:10.1006/jcis.1999.6604.
49. Sethian, J. A. (1985), Curvature and the evolution of fronts, Commun. Math. Phys., 101(4), 487-499, doi:10.1007/BF01210742.
50. Shipley (1982), Shipley microelectronic product guide, Newton, Mass. Thompson, L. F., C. G. Willson, and M. J. Bowden (1994), Introduction to Microlithography, 2nd ed., Am. Chem. Soc., Washington, D. C.
51. Topp, G. C. (1969), Soil-water hysteresis measured in a sandy loam and compared with the hysteretic domain model, Soil Sci. Soc. Am. Proc., 33, 645-651.
52. Tuller, M., D. Or, and L. M. Dudley (1999), Adsorption and capillary condensation in porous media: Liquid retention and interfacial configurations in angular porous media, Water Resour. Res., 35(7), 1949-1964, doi: 10.1029/1999WR900098.
53. van Genabeek, O., and D. H. Rothman (1996), Macroscopic manifestations of microscopic flows through porous media: Phenomenology from simulation, Annu. Rev. Earth Planet. Sci., 24, 63-87, doi:10.1146/annurev.earth.24.1.63.
54. Wilkinson, D. (1986), Percolation effects in immiscible displacement, Phys. Rev. A, 34(2), 1380-1391, doi:10.1103/PhysRevA.34.1380.