Direct quantification of dynamic effects in capillary pressure for drainage-wetting cycles

Vadose Zone Journal

Volumn 9, Issue 2, 2010, Pages 424-437

  Sakaki, Toshihiro ^a   O'Carroll, Denis M ^b   Illangasekare, Tissa H ^a  

^a Department of Geology and Geological Engineering   (United States)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BEST MATCH; CAPILLARY PRESSURES; CONFIDENCE INTERVAL; CONSTITUTIVE RELATIONSHIPS; DRAINAGE AND WETTING; DYNAMIC COEFFICIENT; DYNAMIC EFFECTS; EXPERIMENTAL STUDIES; FLOW IN POROUS MEDIA; LOGLINEAR MODEL; NUMERICAL MODELING; RATE OF CHANGE; RETENTION CURVE; STATIC AND DYNAMIC; STATIC CONDITIONS; STATIC RETENTION; TRANSIENT FLOW; WETTING CYCLES; WETTING FLUID;

CAPILLARITY; CAPILLARY TUBES; MULTIPHASE FLOW; POROUS MATERIALS; REGRESSION ANALYSIS;

WETTING;

CAPILLARY PRESSURE; CONFIDENCE INTERVAL; DRAINAGE; FLOW MODELING; MULTIPHASE FLOW; NUMERICAL MODEL; OUTFLOW; POROUS MEDIUM; SATURATION; TRANSIENT FLOW;

EID: 77955464404     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2136/vzj2009.0105     Document Type: Article

References (42)

1. Barenblatt, G.I. 1971. Filtration of two nonmixing fluids in a homogeneous porous medium, Soviet Academy Izvestia. Mech. Gas Fluids 5:857-864.
2. Barenblatt, G.I., T.W. Patzek, and D.B. Silin. 2003. The mathematical model of non-equilibrium effects in water-oil displacement. SPE J. 8:409-416.
3. Barenblatt, G.I., and A.P. Vinnichenko. 1980. Non-equilibrium seepage of immiscible fluids. (In Russian with an English abstract.) Usp. Mekh. 3(3):35-50.
4. Bottero, S., S.M. Hassanizadeh, P.J. Kleingeld, and A. Bezuijen. 2006. Experimental study of dynamic capillary pressure effect in two-phase flow in porous media. Available at proceedings.cmwr-xvi.org/getFile.py/access?contribId=343&sessionId=9&resId=0&materialId=paper&confId=a051 (verified 1 Feb. 2010). In CMWR XVI, Int. Conf. on Computational Methods in Water Resources, 16th, Copenhagen, Denmark. 18-21 June 2006. Tech. Univ. of Denmark, Lyngby.
5. Brooks, R.H., and A.T. Corey. 1964. Hydraulic properties of porous media. Hydrol. Pap. 3. Colorado State Univ., Fort Collins.
6. Burdine, N.T. 1953. Relative permeability calculations from pore size distribution data. Trans. Am. Inst. Min. Metall. Pet. Eng. 198:71-78.
7. Chen, J., J.W. Hopmans, and M.E. Grismer. 1999. Parameter estimation of two-fluid capillary pressure-saturation and permeability functions. Adv. Water Resour. 22:479-493.
8. 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 Media 58:5-22.
9. Dane, J.H., and J.W. Hopmans. 2002. Water retention and storage: Laboratory. p. 675-720. In J.H. Dane and G.C. Topp (ed.) Methods of soil analysis. Part 4. Physical methods. SSSA Book Ser. 5. SSSA, Madison, WI.
10. Eching, S.O., and J.W. Hopmans. 1993. Optimization of hydraulic functions from transient outflow and soil-water pressure data. Soil Sci. Soc. Am. J. 57:1167-1175.
11. Eching, S.O., J.W. Hopmans, and O. Wendroth. 1994. Unsaturated hydraulic conducti vity from transient multistep outflow and soil water pressure data. Soil Sci. Soc. Am. J. 58:687-695.
12. Gorry, P. A. 1990. General least-squares smoothing and differentiation by the convolution (Savitzky-Golay) method. Anal. Chem. 62:570-573.
13. 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. 1:38-57.
14. 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.
15. Hassanizadeh, S.M., and W.G. Gray. 1993. Toward an improved description of the physics of two-phase flow. Adv. Water Resour. 16:53-67.
16. Hopmans, J.W., J. Simunek, N. Romano, and W. Durner. 2002. Inverse methods. p. 963-1008. In J.H. Dane and G.C. Topp (ed.) Methods of soil analysis. Part 4. Physical methods. SSSA Book Ser. 5. SSSA, Madison, WI.
17. Hwang, S.I., and S.E. Powers. 2003. Estimating unique soil hydraulic parameters for sandy media from multi-step outflow experiments. Adv. Water Resour. 26:445-456.
18. Juanes, R. 2009. Nonequilibrium effects in models of three-phase flow in porous media. Adv. Water Resour. 31:661-673.
19. Kalaydjian, F.J.-M. 1992. Dynamic capillary pressure curve for water/oil displacement in porous media: Theory vs. experiment. p. 491-506. Proc. Annu. Tech. Conf. and Exhib., 67th, Washington, DC. 4-7 Oct. 1992. Soc. Pet. Eng., Richardson, TX.
20. Klute, A., and W. R. Gardner. 1962. Tensiometer response time. Soil Sci. 93:204-207.
21. Kool, J.B., J.C. Parker, and M.Th. van Genuchten. 1985. Determining soil hydraulic properties from one-step outflow experiments by parameter estimation: I. Theory and numerical studies. Soil Sci. Soc. Am. J. 49:1348-1354.
22. Japanese Geotechnical Society. 2000. JGS 0151-2000: Test method for water retentivity of soils. p. 118-132. In Japanese standards for geotechnical and geoenvironmental laboratory testing methods: Standards and explanations. (Revised ed.) Part 2. Methods of soil analysis. JGS, Tokyo.
23. Le Guen, S.S., and A.R. Kovscek. 2006. Nonequilibrium effects during spontaneous imbibition. Transp. Porous Media 63:127-146.
24. 2O soil moisture sensors. p. 39-45. In J.A. Ramirez (ed.) Proc. AGU Hydrol. Days, 29th, Fort Collins, CO. 25-27 Mar. 2009. Am. Geophys. Union, Washington, DC.
25. Manthey, S., S.M. Hassanizadeh, R. Helmig, and R. Hilfer. 2008. Dimensional analysis of two-phase flow including a rate-dependent capillary pressure-saturation relationship. Adv. Water Resour. 31:1137-1150.
26. Manthey, S., S.M. Hassanizadeh, O. Oung, and R. Helmig. 2004. Dynamic capillary pressure effects in two-phase flow through heterogeneous porous media. p. 631-644. In C.T. Miller et al. (ed.) CMWR XV: Int. Conf. on Computational Methods in Water Resour., 15th, Chapel Hill, NC. 13-17 June 2004. Elsevier, Amsterdam.
27. 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:W11419, doi:10.1029/2005WR004010.
28. Oung, O., and A. Bezuijen. 2003. Selective pore pressure transducers for use in model tests to study two-phase flow in porous media. Int. J. Phys. Modell. Geotech. 4:31-41.
29. Parker, J.C., J.B. Kool, and M.Th. van Genuchten. 1985. Determining soil hydraulic properties from one-step outflow experiments by parameter estimation: II. Experimental studies. Soil Sci. Soc. Am. J. 49:1354-1359.
30. Perfect, E., L.D. McKay, S.C. Cropper, S.G. Driese, G. Kammerer, and J.H. Dane. 2004. Capillary pressure-saturation relations for saprolite: Scaling with and without correction for column height. Vadose Zone J. 3:493-501.
31. Peszyńska, M., and S.-Y. Yi. 2008. Numerical methods for unsaturated flow with dynamic capillary pressure in heterogeneous porous media. Int. J. Numer. Anal. Model. 5(Suppl.):126-149.
32. Sakaki, T., and T.H. Illangasekare. 2007. Comparison of height-averaged and point-measured capillary pressure-saturation relations for sands using a modified Tempe cell. Water Resour. Res. 43:W12502, doi:10.1029/2006WR005814.
33. Schembre, J.M., and A.R. Kovscek. 2006. Estimation of dynamic relative permeability and capillary pressure from countercurrent imbibition experiments. Transp. Porous Media 65:31-51.
34. Schroth, M.H., S.J. Ahearn, J.S. Selker, and J.D. Istok. 1996. Characterization of Miller-similar silica sands for laboratory hydrologic studies. Soil Sci. Soc. Am. J. 60:1331-1339.
35. Schultze, B., O. Ippisch, B. Huwe, and W. Durner. 1997. Dynamic nonequilibrium during unsaturated water flow. p. 877- 892. In M.Th. van Genu-chten et al. (ed.) Characterization and measurement of the hydraulic properties of unsaturated porous media, Proc. Int. Worksh., Riverside, CA. 22-24 Oct. 1997. U.S. Salinity Lab., Riverside, CA.
36. Silin, D., and T. Patzek. 2004. On Barenblatt's model of spontaneous counter-current imbibition. Transp. Porous Media 54:297-322.
37. Stauffer, F. 1978. Time dependence of the relations between capillary pressure, water content and conductivity during drainage of porous media. p. 3.35-3.52. In Conf. on Scale Effects in Porous Media, Thessaloniki, Greece. 29 Aug.-1 Sept. 1978. Int. Assoc. Hydro-Electr. Eng. Res., Madrid, Spain.
38. van Dam, J.C., J.N.M. Stricker, and P. Droogers. 1994. Inverse method to determine soil hydraulic functions from multistep outflow experiments. Soil Sci. Soc. Am. J. 58:647-652.
39. van Genuchten, M.Th. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44:892-898.
40. Vogel, H.-J., A. Samouelian, and O. Ippisch. 2008. Multi-step and two-step experiments in heterogeneous porous media to evaluate the relevance of dynamic effects. Adv. Water Resour. 31:181-188.
41. Zhou, D., L. Jia, J. Kamath, and A.R. Kovscek. 2001. An investigation of counter-current imbibition processes in diatomite. SPE 68837. In SPE Western Regional Meet., Bakersfield, CA. 26-30 Mar. 2001. Soc. Pet. Eng., Richardson, TX.
42. Zhou, D., L. Jia, J. Kamath, and A.R. Kovscek. 2002. Scaling of counter-current imbibition processes in low-permeability porous media. J. Pet. Sci. Eng. 33:61-74.