Dynamic capillary effects in a small-volume unsaturated porous medium: Implications of sensor response and gas pressure gradients for understanding system dependencies

Water Resources Research

Volumn 48, Issue 11, 2012, Pages

  Hou, Lili ^a   Chen, Lixia ^a   Kibbey, Tohren C G ^a  

^a University of Oklahoma   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY EFFECTS; EXPERIMENTAL MEASUREMENTS; EXPERIMENTAL SYSTEM; GAS PRESSURE GRADIENT; NONSTEADY STATE; ORDERS OF MAGNITUDE; POROUS MEDIUM; RATE DEPENDENCY; REPRESENTATIVE ELEMENTARY VOLUME; SENSOR RESPONSE; STATE VARIABLES; SYSTEM DEPENDENCIES; SYSTEM PROPERTY; THREE SYSTEMS; UNSATURATED POROUS MEDIUM;

CAPILLARITY; CAPILLARY TUBES; MULTIPHASE FLOW; POROUS MATERIALS; SENSORS;

PRESSURE GRADIENT;

CAPILLARITY; DYNAMIC ANALYSIS; EXPERIMENTAL STUDY; FLOW PATTERN; GAS; POROUS MEDIUM; PRESSURE GRADIENT; SATURATION; UNSATURATED MEDIUM;

EID: 84870228060     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2012WR012434     Document Type: Article

References (39)

1. Barenblatt, G. I., T. W. Patzek, and D. B. Silin (2003), The mathematical model of nonequilibrium effects in water-oil displacement, SPE J., 8(4), 409-416.
2. Bear, J. (1972), Dynamics of Fluids in Porous Media, 17, 764 pp., American Elsevier, New York.
3. Bottero, S., S.M. Hassanizadeh, P. J. Kleingeld, and T. J. Heimovaara (2011), Nonequilibrium capillarity effects in two-phase flow through porous media at different scales, Water Resour. Res., 47, W10505, doi:10.1029/ 2011WR010887.
4. Bourgeat, A., and M. Panfilov (1998), Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects, Comput. Geosci., 2(3), 191-215. (Pubitemid 128786776)
5. Brooks, R. H., and A. T. Corey (1966), Properties of porous media affecting fluid flow, J. Irrig. Drain. Div., 92(2), 61-90.
6. Camps-Roach, G., D. M. O'Carroll, T. A. Newson, T. Sakaki, and T. H. Illangasekare (2010), Experimental investigation of dynamic effects in capillary pressure: Grain size dependency and upscaling, Water Resour. Res., 46, W08544, doi:10.1029/2009WR008881.
7. 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(16), 6874-6880, doi:10.1021/La053521e. (Pubitemid 44231428)
8. Chen, L., G. A. Miller, and T. C. G. Kibbey (2007), Rapid pseudo-static measurement of hysteretic capillary pressure-saturation relationships in unconsolidated porous media, Geotech. Test. J., 30(6), 474-483.
9. Costanza-Robinson, M. S., B. D. Estabrook, and D. F. Fouhey (2011), Representative elementary volume estimation for porosity, moisture saturation, and air-water interfacial areas in unsaturated porous media: Data quality implications, Water Resour. Res., 47, W07513, doi:10.1029/2010WR009655.
10. Dahle, H. K., M. A. Celia, and S. M. Hassanizadeh (2005), Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship, Transp. Porous Med., 58(1-2), 5-22, doi:10.1007/s11242-004-5466-4. (Pubitemid 40262994)
11. Dane, J. H., and J. W. Hopmans (2002), Water retention and storage: Laboratory, in Methods of Soil Analysis, edited by J. H. Dane and G. C. Topp, pp. 675-720, Soil Science Society of America, Madison, WI.
12. Das, D. B., and Mirzaei, M. (2012), Dynamic effects on capillary pressure relationships for two-phase flow in porous media: Experiments and numerical analyses, AIChE J., doi:10.1002/aic.13777, in press.
13. Fischer, U., O. Dury, H. Fluhler, and M. T. vanGenuchten (1997), Modeling nonwetting-phase relative permeability accounting for a discontinuous nonwetting phase, Soil Sci. Soc. Am. J., 61(5), 1348-1354.
14. Friedman, S. P. (1999), Dynamic contact angle explanation of flow rate-dependent saturation-pressure relationships during transient liquid flow in unsaturated porous media, J. Adhes. Sci. Technol., 13(12), 1495-1518. (Pubitemid 30516808)
15. Gielen, T. W. J., S. M. Hassanizadeh, A. Leijnse, and H. F. Nordhaug (2005), Dynamic effects in multiphase flow: a pore-scale network approach, in Upscaling Multiphase Flow in Porous Media, edited by D. B. Das and. S. M. Hassanizadeh, pp. 217-236, Springer, Dordrecht.
16. Goel, G., and D. M. O'Carroll (2011), Experimental investigation of nonequilibrium capillarity effects: Fluid viscosity effects, Water Resour. Res., 47, W09507, doi:10.1029/2010WR009861.
17. Hassanizadeh, S. M., and W. G. Gray (1990), Mechanics and thermodynamics of multiphase flow in porous-media including interphase boundaries, Adv. Water Resour., 13(4), 169-186.
18. Hassanizadeh, S. M., and W. G. Gray (1993a), Toward an improved description of the physics of 2-phase flow, Adv. Water Resour., 16(1), 53-67.
19. Hassanizadeh, S. M., and W. G. Gray (1993b), Thermodynamic basis of capillary-pressure in porous-media, Water Resour. Res., 29(10), 3389-3405.
20. Hassanizadeh, S. M., M. A. Celia, and H. K. Dahle (2002), Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow, Vadose Zone J., 1(1), 38-57.
21. Huyakorn, P. S., and G. F. Pinder (1986), Computational Methods in Subsurface Flow, Academic, New York.
22. Kalaydjian, F. (1992), Dynamic capillary pressure curve for water/oil displacement in porous media: Theory vs. experiment, Rep. 24813-MS, 16 pp, Society of Petroleum Engineers, Richardson, TX.
23. Klute, A., and W. R. Gardner (1962), Tensiometer response time, Soil Sci., 93, 204-207.
24. Manthey, S., S. M. Hassanizadeh, and R. Helmig (2005), Macro-scale dynamic effects in homogeneous and heterogeneous porous media, Transport Porous Med., 58(1-2), 121-145, doi :10.1007/s11242-004-5472-6. (Pubitemid 40262998)
25. Muraleetharan, K. K., and C. F. Wei (1999), Dynamic behaviour of unsaturated porous media: Governing equations using the theory of mixtures with interfaces (TMI), Int. J. Numer. Anal. Met., 23(13), 1579-1608.
26. O'Carroll, D. M., T. J. Phelan, and L. M. Abriola (2005), Exploring dynamic effects in capillary pressure in multistep outflow experiments, Water Resour. Res., 41(11), W11419, doi:10.1029/2005WR004010. (Pubitemid 43041786)
27. Oliviera, I. B., A. H. Demond, and A. Salehzadeh (1996), Packing of sands for the production of homogeneous porous media, Soil Sci. Soc. Am. J., 60(1), 49-53, doi:10.2136/sssaj1996.03615995006000010010x.
28. Oung, O., S. M. Hassanizadeh, and A. Bezuijen (2005), Two-phase flow experiments in a geocentrifuge and the significance of dynamic capillary pressure effect, J. Porous Med., 8(3), 247-257. (Pubitemid 41228986)
29. Richards, L. A. (1949), Methods of measuring soil moisture tension, Soil Sci., 68(1), 95-112.
30. Sakaki, T., D. M. O'Carroll, and T. H. Illangasekare (2010), Direct quantification of dynamic effects in capillary pressure for drainage-wetting cycles, Vadose Zone J., 9(2), 424-437, doi:10.2136/Vzj2009.0105.
31. Selker, J., P. Leclerq, J. Y. Parlange, and T. Steenhuis (1992), Fingered flow in 2 dimensions. 1. Measurement of matric potential, Water Resour. Res., 28(9), 2513-2521. (Pubitemid 23376409)
32. Smiles, D. E., G. Vachaud, and M. Vauclin (1971), A test of uniqueness of soil moisture characteristic during transient nonhysteretic flow of water in a rigid soil, Soil Sci. Soc. Am. Pro., 35(4), 534-539.
33. Stauffer, F. (1978), Time dependence of the relations between capillary pressure, water content and conductivity during drainage of porous media, International IAHR Symposium on Scale Effects in Porous Media, Thessaloniki, Greece.
34. Topp, G. C., A. Klute, and D. B. Peters (1967), Comparison of water content-pressure head data obtained by equilibrium steady-state and unsteady-state methods, Soil Sci. Soc. Am. Pro., 31(3), 312-314.
35. Towner, G. D. (1980), Theory of time response of tensiometers, J. Soil Sci., 31(4), 607-621.
36. Vachaud, G., M. Vauclin, and M. Wakil (1972), Study of uniqueness of soil-moisture characteristic during desorption by vertical drainage, Soil Sci. Soc. Am. Pro., 36(3), 531.
37. Weitz, D. A., J. P. Stokes, R. C. Ball, and A. P. Kushnick (1987), Dynamic capillary pressure in porous media: Origin of the viscous-fingering length scale, Phys. Rev. Lett., 59(26), 2967-2970.
38. Wildenschild, D., J. W. Hopmans, and J. Simunek (2001), Flow rate dependence of soil hydraulic characteristics, Soil Sci. Soc. Am. J., 65(1), 35-48. (Pubitemid 32169768)
39. Wildenschild, D., J. W. Hopmans, M. L. Rivers, and A. J. R. Kent (2005), Quantitative analysis of flow processes in a sand using synchrotron-based X-ray microtomography, Vadose Zone J., 4(1), 112-126.