Estimation of soil-water retention from particle-size distribution: Fractal approaches

Soil Science

Volumn 177, Issue 5, 2012, Pages 321-326

  Ghanbarian Alavijeh, Behzad ^a   Hunt, Allen G ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

Fractal dimension; particle size distribution; porosity; soil water retention curve

Indexed keywords

ALGORITHM; EMPIRICAL ANALYSIS; FRACTAL ANALYSIS; PARTICLE SIZE; POROSITY; POROUS MEDIUM; SIZE DISTRIBUTION; SOIL WATER; WATER CONTENT; WATER RETENTION;

EID: 84861097391     PISSN: 0038075X     EISSN: None     Source Type: Journal    
DOI: 10.1097/SS.0b013e3182499910     Document Type: Review

References (28)

1. Arya, L. A., and J. F. Paris. 1981. A physicoempirical model to predict the soil moisture characteristics from particle size distribution and bulk density data. Soil Sci. Soc. Am. J. 45:1023-1029.
2. Bird, N. R. A., E. Perrier, and M. Rieu. 2000. The water retention function for a model of soil structure with pore and solid fractal distributions. Eur. J. Soil Sci. 51:55-63. (Pubitemid 30147346)
3. Comegna, V., P. Damiani, and A. Sommella. 1998. Use of a fractal model for determining soil water retention curves. Geoderma. 85:307-323. (Pubitemid 28397970)
4. Fallico, C., A. M. Tarquis, S. De Bartoloa, and M. Veltria. 2010. Scaling analysis of water retention curves for unsaturated sandy loam soils by using fractal geometry. Eur. J. Soil Sci. 61:425-436.
5. Filgueira, R. R., Y. A. Pachepsky, L. L. Fournier, G. O. Sarli, and A. Aragon. 1999. Comparison of fractal dimensions estimated from aggregate masssize distribution and water retention scaling. Soil Sci. 164:217-223. (Pubitemid 29212009)
6. Freeman, E. J. 1995. Fractal Geometries Applied to Particle Size Distributions and Related Moisture Retention Measurements at Hanford, Washington [M.A. thesis]. University of Idaho, Moscow, ID.
7. Ghanbarian-Alavijeh, B. 2007. Estimation of Soil Water Retention Curve From Fragment Mass-Size Distribution [MSc thesis]. Dept. of Irrigation and Reclamation Eng., Univ. of Tehran, Tehran, Iran.
8. Ghanbarian-Alavijeh, B., and H. Millán. 2009. The relationship between surface fractal dimension and soil water content at permanent wilting point. Geoderma. 151:224-232.
9. Ghanbarian-Alavijeh, B., and H. Millán. 2010. Point pedotransfer functions for estimating soil water retention curve. Int. Agrophys. 24:243-251.
10. Ghanbarian-Alavijeh, B., H. Millán, and G. Huang. 2011. A review of fractal, prefractal and pore-solid-fractal models for parameterizing the soil water retention curve. Can. J. Soil Sci. 91:1-14.
11. Gvirtzman, H., and P. V. Roberts. 1991. Pore scale spatial analysis of two immiscible fluids in porous media. Water Resour. Res. 27:1165-1176.
12. Haverkamp, R., and J. Y. Parlange. 1986. Predicting the water retention curve from particle size distribution: 1. Sandy soils without organic matter. Soil Sci. 142:325-339.
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. (Pubitemid 34281427)
14. Hunt, A. G., and G. W. Gee. 2002b. Water-retention of fractal soil models using continuum percolation theory: Tests of Hanford site soils. Vadose Zone J. 1:252-260.
15. Hunt, A. G., and T. E. Skinner. 2005. Hydraulic conductivity limited equilibration: Effect on water retention characteristics. Vadose Zone J. 4:145-150.
16. Hunt, A., and R. Ewing. 2009. Percolation Theory for Flow in Porous Media. 2nd ed. Springer, Berlin, Germany, pp. 319
17. Hwang, S. I., and S. I. Choi. 2006. Use of a lognormal distribution model for estimating soil water retention curves from particle-size distribution data. J. Hydrol. 323:325-334. (Pubitemid 44250824)
18. Kravchenko, A., and R. Zhang. 1998. Estimating the soilwater retention from particle size distributions: A fractal approach. Soil Sci. 163:171-179. (Pubitemid 28154062)
19. Nimmo, J. R., W. N. Herkelrath, and A. M. Laguna Luna. 2007. Physically based estimation of soil water retention from textural data: General framework, new models, and streamlined existing models. Vadose Zone J. 6:766-773. (Pubitemid 350232071)
20. Perrier, E., M. Rieu, G. Sposito, and G. de Marsily. 1996. Models of the water retention curve for soils with a fractal pore size distribution.Water Resour Res. 32:3025-3031.
21. Perrier, E., N. Bird, and M. Rieu. 1999. Generalizing a fractal model of soil structure: The pore-solid fractal approach. Geoderma. 88:137-164. (Pubitemid 29114428)
22. Rasiah, V., E. Perfect, and B. D. Kay. 1995. Linear and nonlinear estimates of fractal dimension for soil aggregate fragmentation. Soil Sci. Soc. Am. J. 59:1:83-87.
23. Rieu, M., and G. Sposito. 1991. Fractal fragmentation, soil porosity, and soil water properties: I. Theory, II. Applications. Soil Sci. Soc. Am. J. 55:1231-1244.
24. Sahimi, M. 2003. Heterogeneous materials II. Nonlinear and breakdown properties and atomistic modeling. Springer. 637 pp.
25. The MathWorks Inc., 2006. MATLAB: The Language of Technical Computing. Version 7.3. The MathWorks Inc., Natick, MA.
26. Tyler, S. W., and S. W. Wheatcraft. 1989. Application of fractal mathematics to soil water retention estimation. Soil Sci. Soc. Am. J. 53:987-996. (Pubitemid 20399880)
27. Tyler, S. W., and S. W. Wheatcraft. 1990. Fractal processes in soil water retention. Water Resour. Res. 26:1047-1054.
28. Wang, K., R. Zhang, and F. Wang. 2005. Testing the pore-solid fractal model for the soil water retention function. Soil Sci. Soc. Am. J. 69:776-782.