Comparing van Genuchten and percolation theoretical formulations of the hydraulic properties of unsaturated media

Vadose Zone Journal

Volumn 3, Issue 4, 2004, Pages 1483-1488

  Hunt, A G ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRAULIC CONDUCTIVITY; PERCOLATION (SOLID STATE); POROUS MATERIALS;

CRITICAL VOLUME FRACTIONS; HYDRAULIC PROPERTIES; PERCOLATION THEORY; PHENOMENOLOGICAL RELATIONSHIP; POTENTIAL MODEL; RESIDUAL MOISTURE CONTENT; THEORETICAL FORMULATION; UNSATURATED POROUS MEDIA;

SOLVENTS;

EID: 33846525780     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2113/3.4.1483     Document Type: Article

References (29)

1. Ambegaokar, V. N., B. I. Halperin, and J. S. Langer. 1971. Hopping conductivity in disordered systems. Phys. Rev. B. 4: 2612-2621.
2. Brooks, R.H., and A.T. Corey. 1964. Hydraulic properties of porous media. Hydrology Paper 3. Colorado State Univ., Fort Collins.
3. Burdine, N.T. 1953. Relative permeability calculation, size distribution data. Pet. Trans AIME 198:71-78.
4. Carman, P.C. 1956. Flow of gases through porous media. Butterworths, London.
5. Childs, E.C., and N. Collis-George. 1950. The permeability of porous materials. Proc. R. Soc. London Ser. A 201:392-405.
6. Feng, S., B.I. Halperin, and P.N. Sen. 1987. Transport properties of continuum systems near the percolation threshold. Phys. Rev. B 35:97.
7. Golden, K. 1990. Convexity and exponent inequalities for conduction near percolation. Phys. Rev. Lett. 65:2923-2926.
8. Golden, K.M. 1997. Critical behavior of transport in lattice and continuum percolation models. Phys. Rev. Lett. 78:3935-3938.
9. Hunt, A.G. 2001. Applications of percolation theory to porous media with distributed local conductances. Adv. Water Resour. 24(3,4): 279-307.
10. Hunt, A.G. 2004a. Percolative transport in fractal porous media. Chaos. Soliton. Fract. 19:309-325.
11. Hunt, A.G. 2004b. Continuum percolation theory for pressure-saturation curves of fractal soils: Extension to non-equilibrium. Adv. Water Resour. 27:245-257.
12. Hunt, A.G., and R.P. Ewing. 2003. On the vanishing of solute diffusion at a finite moisture content. Soil Sci. Soc. Am. J. 67:1701-1702.
13. Hunt, A.G., and G.W. Gee. 2002a. Application of critical path analysis to fractal porous media: Comparison with examples from the Hanford site. Adv. Water Resour. 25:129-146.
14. Hunt, A.G., and G.W. Gee. 2002b.Water retention of fractal soil models using continuum percolation theory: Tests of Hanford site soils. Available at www.vadosezonejournal.org. Vadose ZoneJ.1:252-260.
15. Kozeny, J.1927. Über Kapillare Leitung des Wassers im Boden. Sitzungsber. Akad. Wiss. Wien 136:271-306.
16. Kunze, R.J., G. Uchara, and K. Graam. 1968. Factors important in the calculation of hydraulic conductivity. Soil Sci.Soc. Am.J. 32:760-765.
17. Luckner, L., M.Th. van Genuchten, and D.R. Nielsen.1989.Aconsistent set of parametric models for the two-phase flow of immiscible fluids in the subsurface. Water Resour. Res. 25:2187-2193.
18. Millington, R.J., and J.P. Quirk. 1959. Permeability of porous media. Nature (London) 183:387-388.
19. Millington, R.J., and J.P. Quirk. 1961. Permeability of porous media. Trans. Faraday Soc. 57:1200-1208.
20. Moldrup, P., T. Oleson, T. Komatsu, P. Schjoning, and D.E. Rolston. 2001. Tortuosity, diffusivity, and permeability in the soil liquid and gaseous phases. Soil Sci. Soc. Am. J. 65:613-623.
21. Mualem, Y. 1976.A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12:513-522.
22. Mualem, Y., and G. Dagan. 1978. Hydraulic conductivity of soils: Unified approach to the statistical models. Soil Sci. Soc. Am. J. 42: 392-395.
23. Nimmo, J.R. 1997. Modeling structural influences on soil water retention. Soil Sci. Soc. Am. J. 61:712-719.
24. Pollak, M. 1972. A percolation treatment of dc hopping conduction. J. Non-Cryst. Solids 11:1-24.
25. Rieu, M., and G. Sposito. 1991. Fractal fragmentation, soil porosity, and soil water properties. I. Theory. Soil Sci. Soc. Am. J. 55:1231-1238.
26. Sharma, M.L. 1966. Influence of soil structure on water retention, water movement, and thermodynamic properties of absorbed water. Ph.D. diss. Univ. Hawaii. Univ. Microfilms, Ann Arbor, MI.
27. Stauffer, D., and A. Aharony. 1994. Introduction to percolation theory. 2nd ed. Taylor & Francis, London.
28. 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.
29. van Genuchten, M.Th., F.J. Leij, and S.R. Yates. 1991. The RETC code for quantifying the hydraulic functions of unsaturated soils. USEPA 000/091/000. USEPA, Ada, OK.