Linking pressure and saturation through interfacial areas in porous media

Geophysical Research Letters

Volumn 31, Issue 8, 2004, Pages

  Cheng, J T ^a   Pyrak Nolte, Laura J ^a,b   Nolte, David D ^a   Giordano, Nicholas J ^a  

^a PURDUE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; POROUS MATERIALS; PRESSURE EFFECTS; TWO PHASE FLOW; WETTING;

CAPILLARY PRESSURE; DISJOINING PRESSURE; MICROFLUIDIC CELLS; WETTING FLUIDS;

GEOPHYSICS;

FLUID FLOW; MODELING; POROUS MEDIUM; PRESSURE; SATURATION;

EID: 3042717825     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003GL019282     Document Type: Article

References (18)

1. Bradford, S. A., and F. J. Leij (1997), Estimating interfacial areas for multifluid soil systems, J. Contam. Hydrol., 27, 83-105.
2. Cheng, J.-T (2002), Fluid flow in ultrasmall structures, Ph.D. thesis, Purdue Univ., West Lafayette, Indiana.
3. Darcy, H. (1856), Determination of the laws of flow through sand, in Les Fontaines Publiques de la ville de Dijon, pp. 590-594, Victor Dalmont, Paris. (Translated and Reproduced in Physical Hydrology, edited by R. A. Freeze and W. Back, John Wiley, New York, 1983.)
4. Deriagin, B. V., N. V. Churaev, V. M. Muller, and J. A. Kitchener (1987), Surface Forces, translated from the Russian by V. I. Kisin, 440 pp., edited by J. A. Kitchener, Consult. Bur., New York.
5. Giordano, N., and J.-T. Cheng (2001), Microfluid mechanics: Progress and opportunities, J. Phys. Condensed Matter, 13, R271-R295.
6. Gray, W. G., and S. M. Hassanizadeb (1991), Unsaturated flow theory including interfacial phenomena, River Resour. Res., 27, 1855-1863.
7. Gray, W. G., and S. M. Hassanizadeh (1998a), Averaging theorems and averaged equations for transport of interface properties in multiphase systems, Int. J. Multiphase Flow, 15, 81-95.
8. Gray, W. G., and S. M. Hassanizadeh (1998b), Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points, Adv. Water Res., 21, 261-281.
9. Gvirtzman, H., and P. V. Roberts (1991), Pore scale spatial analysis of two immiscible fluids in porous media, Water Resour Res., 27, 1165-1176.
10. Hassanizadeh, S. M., and W. G. Gray (1990), Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries, Water Resour. Res., 13, 169-186.
11. Hassanizadeh, S. M., and W. G. Gray (1993a), Thermodynamic basis of capillary pressure in porous media, Water Resour. Res., 29, 3389-3405.
12. Hassanizadeh, S. M., and W. G. Gray (1993b), Toward an improved description of the physics of two-phase flow, Adv. Water Resour., 16, 53-67.
13. Muccino, J. C., W. G. Gray, and L. A. Ferrand (1998), Toward an improved understanding of multiphase flow in porous media, Rev. Geophys., 36, 401-422.
14. Nolte, D. D., and L. J. Pyrak-Nolte (1991), Stratified continuum percolation: Scaling geometry of hierarchical cascades, Phys. Rev. A, 44, 6320-6333.
15. Rapoport, L. A., and W. J. Leas (1951), Relative permeability to liquid in liquid-gas systems, Pet. Trans., 192, 83-98.
16. Reeves, P. C., and M. A. Celia (1996), A functional relationship between capillary pressure, saturation, and interfacial area as revealed by a porescale network model, Water Resour. Res., 32, 2345-2358.
17. Sethian, J. A. (1985), Curvature and the evolution of fronts, Commun. Math. Phys., 101, 487-499.
18. 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.