Fractal approach to hydraulic properties in unsaturated porous media

Chaos, Solitons and Fractals

Volumn 19, Issue 2, 2004, Pages 327-337

  Xu, Y F ^a   Dong, Ping ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b NANJING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

GRAIN SIZE AND SHAPE; HIERARCHICAL SYSTEMS; PORE SIZE; POROUS MATERIALS;

SPATIAL VARIABILITY;

FRACTALS;

EID: 0043093802     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00045-6     Document Type: Article

References (21)

1. Brooks R.H., Corey A.T. Properties of porous media affecting fluid flow. ASCE J. Irrig. Drain. Div. 92:1966;61-68.
2. Burdine N.T. Relative permeability calculations from pore-size distribution data. Petr. Trans. Am. Inst. Mining Metall. Engrg. 198:1953;71-77.
3. Dirksen C. Unsaturated hydraulic conductivity. Smith K.A., Mullins C.E. Soil analysis physical methods. 1991;209-269 Dekker, New York.
4. van Damme H. Scale invariance and hydric behaviour of soils and clays. C.R. Acad. Sci. Paris. 320:1995;665-681.
5. Rieu M., Sposito G. Fractal fragmentation, soil porosity and soil water properties: I. Theory; II. Applications. Soil Sci. Soc. Am. J. 312:1991;1483-1489.
6. Perrier P., Rieu M., Sposito G., de Marsily G. Models of the water retention curve for soils with a fractal pore size distribution. Water Res. Res. 32:1996;3025-3031.
7. Gimenez D., Perfect E., Rawls W.J., Pacheoaky Ya. Fractal models for predicting soil hydraulic properties: a review. Eng. Geo. 48:1997;161-183.
8. Toledo P.G., Novy R.A., Davis H.T., Scriven L.E. Hydraulic conductivity of porous media at low water content. Soil Sci. Soc. Am. J. 54:1990;673-679.
9. Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Res. Res. 12(3):1976;513-522.
10. Tyler S.W., Wheatcraft S.W. Fractal process in soil water retention. Water Res. Res. 26(5):1990;1047-1054.
11. Shepard S.J. Using a fractal model to compute the hydraulic conductivity function. Soil Sci. Soc. Am. J. 57:1993;300-306.
12. Crawford J.W. The relationship between structure and the hydraulic conductivity of soil. Eur. J. Soil Sci. 45:1994;493-501.
13. Fuentes C., Vauclin M., Parlange J.-I. A note on the soil-water conductivity of a fractal soil. Transp. Porous Media. 23:1996;31-36.
14. Hunt A.G., Gee G.W. Application of critical path analysis to fractal porous media: comparison with examples from the Hanford site. Adv. Water Res. 25:2002;129-146.
15. Krohn C.E. Sandstone fractal and Euclidean pore volume distributions. J. Geophys. Res. 93(B4):1988;3297-3305.
16. Mandelbrot B.B. The fractal geometry of nature. 1982;W.H. Freeman, San Francisco, CA.
17. Uno T., Kamiya K., Tanaka K. The distribution of sand void diameter by air intrusion method and moisture characteristic curve method. Proc. Japan Soc. Civil Engrg. 603(III-44):1998;35-44.
18. Laraussi Ch., de Backer L.M. Relations between geometrical properties of glass beads media and their main. ψ(θ) hysteresis loops Soil Sci. Soc. Am. J. 43:1979;646-650.
19. Smettem K.R.J., Kirkby C. Measuring the hydraulic properties of a stable aggregate soil. J. Hydro. 117:1990;1-13.
20. Delage P., Audiguier M., Cui Y.J., Howat M.D. Microstructure of a compacted silt. Can. Geotech. J. 33:1996;150-158.
21. Watabe Y., Leroueil S., Le Bihan J.-P. Influence of compacted conditions on pore-size distribution and saturated hydraulic conductivity of a glacial till. Can. Geotech. J. 37:2000;1184-1194.