Multifractal analysis of pore size distributions as affected by simulated rainfall

Vadose Zone Journal

Volumn 7, Issue 2, 2008, Pages 500-511

  Vidal Vazquez E ^a   Paz Ferreiro, J ^a   Miranda, J G V ^b   Paz Gonzalez A ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

^b FEDERAL UNIVERSITY OF BAHIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL ANALYSIS; HYDROLOGICAL MODELING; MERCURY (ELEMENT); PORE SPACE; RETENTION; SIZE DISTRIBUTION; SOIL STRUCTURE;

EID: 45149085616     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2136/vzj2007.0011     Document Type: Article

References (71)

1. Ahl, C., and J. Niemeyer. 1989. The fractal dimension of the pore-volume inside soils. Z. Pflanzenernaehr. Bodenkd. 152:457-458.
2. Anderson, A.N., A.B. McBratney, and J.W. Crawford. 1998. Applications of fractals to soil studies. Adv. Agron. 63:2-76.
3. Assouline, S. 2004. Rainfall-induced soil surface sealing: A critical review of observations, conceptual models, and solutions. Vadose Zone J. 3:570-591.
4. Assouline, S., and Y. Mualem. 2001. Soil seal formation and its effect on infiltration: Uniform versus nonuniform seal approximation. Water Resour. Res. 37:297-305.
5. Bartoli, F., N.R.A. Bird, V. Gomendy, H. Vivier, and S. Niquet. 1999. The relation between silty soil structures and their mercury porosimetry curve counterparts: Fractals and percolation. Eur. J. Soil Sci. 50:9-22.
6. Bartoli, F., Ph. Dutrarte, V. Gomendy, S. Niquet, M. Debuit, and H. Vivier. 1998. Fractals and soil structure. p. 203-232. In P. Baveye et al. (ed.) Fractals in soil science. CRC Press, New York.
7. Bartoli, F., R. Philippy, and G. Burtin. 1992. Influence of organic matter on aggregation in Oxisols rich in gibbsite or in goethite: I. Structures - The fractal approach. Geoderma 54:231-257.
8. Bartoli, F., R. Philippy, M. Doiresse, S. Niquet, and M. Dubuit. 1991. Structure and self-similarity in silty and sandy soils: The fractal approach. J. Soil. Sci. 42:167-185.
9. Baveye, P., J.-Y. Parlange, and B.A. Stewart. 1998. Fractals in soil science. CRC Press, Boca Raton, FL.
10. Benito, E., J.L. Santiago, E. de Blas, and M.E. Varela. 2003. Deforestation of water repellent soils in Galicia (NW Spain): Effects on surface runoff and erosion under simulated rain. Earth Surf. Processes Landforms 28:145-155.
11. Bertol, I., A. Paz González, and E. Vidal Vázquez. 2007. Soil surface roughness with different doses of corn residue submitted to simulated rainfall. (In Portuguese.). Pesqui. Agropecu. Bras. 43(1):103-110.
12. Bird, N., M.C. Díaz, A. Saa, and A.M. Tarquis. 2006. Fractal and multifractal analysis of pore-scale images of soil. J. Hydrol. 322:211-219.
13. Bird, N.R.A., and E.M.A. Perrier. 2003. The pore-solid fractal model of soil density scaling. Eur. J. Soil Sci. 54:467-476.
14. Bronick, C.J., and R. Lal. 2005. Soil structure and management: A review. Geoderma 124:3-22.
15. Bruand, A., L.P. d'Acqui, P. Nyamugafata, R. Darthout, and G.G. Ristori. 1993. Analysis of porosity in a tilled crusting soil in Zimbabwe. Geoderma 59:235-248.
16. Bruand, A., C. Hartmann, S. Ratana-Anupap, P. Sindhusen, R. Poss, and M. Hardy. 2004. Composition, fabric and porosity of an Arenic Haplustalf of northeast Thailand: Relation to penetration resistance. Soil Sci. Soc. Am. J. 68:185-193.
17. Caniego, J., M.A. Martín, and F. San José. 2001. Singularity features of pore-size distribution in soil: Singularity strength analysis and entropy spectrum. Fractals 9:305-316.
18. Chhabra, A.B., and R.V. Jensen. 1989. Direct determination of the f (α) singularity spectrum. Phys. Rev. Lett. 62:1327-1330.
19. Childs, E.C. 1969. An introduction to the physical basis of soil water phenomena. Wiley Interscience, London.
20. Cousin, I., O.M. Issa, and Y. Le Bissonnais. 2005. Microgeometrical characterisation and percolation threshold evolution of a soil crust under rainfall. Catena 62:173-188.
21. Crawford, J.W., N. Matsui, and I.M. Young. 1995. The relation between the moisture-release curve and the structure of soil. Eur. J. Soil Sci. 46:369-375.
22. Crawford, J.W., K. Ritz, and I.M. Young. 1993. Quantification of fungal morphology, gaseous transport and microbial dynamics in soil: An integrated framework utilising fractal geometry. Geoderma 56:157-172.
23. Currie, J.A. 1966. The volume of porosity of soil crumbs. J. Soil. Sci. 17:24-25.
24. Dathe, A., S. Eins, J. Niemeyer, and G. Gerold. 2001. The surface fractal dimension of the soil-pore interface as measured by image analysis. Geoderma 103:203-229.
25. Dathe, A., A.M. Tarquis, and E. Perrier. 2006. Multifractal analysis of the poreand solid-phases in binary two-dimensional images of natural porous structures. Geoderma 134:318-326.
26. Dexter, A.R. 1988. Advances in characterization of soil structure. Soil Tillage Res. 11:199-238.
27. Dexter, A.R. 2004a. Soil physical quality: Part I. Theory, effects of soil texture, density, and organic matter, and effects on root growth. Geoderma 120:201-214.
28. Dexter, A.R. 2004b. Soil physical quality: Part II. Friability, tillage, tilth and hard-setting. Geoderma 120:215-225.
29. Dexter, A.R. 2004c. Soil physical quality: Part III: Unsaturated hydraulic conductivity and general conclusions about S-theory. Geoderma 120:227-239.
30. Fiès, J.C. 1984. Analyse de la répartition du volume des pores dans les assemblages argile-squelette: Comparison entre un modele d'espace poral textural et les données fournies par la porosimetrie au mercure. (In French, with English abstract.) Agronomie 4:891-899.
31. Fiès, J.C. 1992. Analysis of soil textural porosity relative to skeleton particle size, using mercury porosimetry. Soil Sci. Soc. Am. J. 56:1062-1067.
32. Fox, D.M., Y. Le Bissonnais, and A. Bruand. 1998. The effect of ponding depth on infiltration in a crusted surface depression. Catena 32:87-100.
33. Gomendy, V., F. Bartoli, G. Burtin, M. Doiresse, R. Philippy, S. Niquet, and H. Vivier. 1999. Silty topsoil structure and its dynamics: The fractal approach. Geoderma 88:165-189.
34. Gouyet, J.F. 1996. Physics and fractal structure. Springer-Verlag, Berlin.
35. Grau, J., V. Méndez, A.M. Tarquis, M.C. Díaz, and A. Saa. 2006. Comparison of gliding box and box-counting methods in soil image analysis. Geoderma 134:349-359.
36. Greenland, D.J. 1981. Soil management and soil degradation. J. Soil Sci. 32:301-322.
37. Hajnos, M., L. Korkunskaia, and Ya. Pachepsky. 2000. Soil pore surface properties in managed grasslands. Soil Tillage Res. 55:63-70.
38. Hallett, P.D., N.R.A. Bird, A.R. Dexter, and J.P.K. Seville. 1998. Investigation into the fractal scaling of the structure and strength of soil aggregates. Eur. J. Soil Sci. 49:203-211.
39. Lado, M., A. Paz, and M. Ben-Hur. 2004. Organic matter and aggregate size interactions in infiltration, seal formation and soil loss. Soil Sci. Soc. Am. J. 68:935-942.
40. Mandelbrot, B.B. 1984. The fractal geometry of nature. Freeman, New York.
41. Martin, M.A., and E. Montero. 2002. Laser diffraction and multifractal analysis for the characterization of dry soil volume-size distributions. Soil Tillage Res. 64:113-123.
42. Martin, M.A., Ya. Pachepsky, and E. Perfect (ed.). 2005. Scaling, fractals and diversity in soils and ecohydrology. Ecol. Modell. 182(3-4) (special issue).
43. Martin, M.A., E. Perfect, and Ya. Pachepsky (ed.). 2006. Fractal geometry applied to soil and related hierarchical systems-Fractals, complexity, and heterogeneity. Geoderma 134:(3-4) (special issue).
44. McIntyre, D.S. 1958. Permeability measurements of soil crusts formed by raindrop impact. Soil Sci. 85:185-189.
45. Menéndez, I., J. Caniego, J.F. Gallardo, and K. Olechko. 2005. Use of fractal scaling to discriminate between macro- and mesopore sizes in forest soils. Ecol. Modell. 182:291-304.
46. Miranda, J.G.V., E. Montero, M.C. Alves, A. Paz González, and E. Vidal Vázquez. 2006. Multifractal characterization of saprolite particle-size distributions after topsoil removal. Geoderma 134:373-385.
47. Montero, E. 2005. Rényi dimensions analysis of soil particle-size distributions. Ecol. Modell. 182:305-315.
48. Pachepsky, Ya., J.W. Crawford, and W.J. Rawls. 2000. Fractals in soil science. Dev. in Soil Sci. 27. Elsevier, Amsterdam.
49. Pachepsky, Ya., L.P. Korkunskaia, and M. Hajnos. 1996a. Fractal parameters of soil pore surface area under a developing crop. Fractals 4:97-104.
50. Pachepsky, Ya., T.A. Polubesova, M. Hajnos, Z. Sokolowska, and G. Józefaciuk. 1995. Fractal parameters of pore surface area as influenced by simulated soil degradation. Soil Sci. Soc. Am. J. 59:68-75.
51. Pachepsky, Ya., D.E. Radcliffe, and H.M. Selim. 2003. Scaling methods in soil physics. CRC Press, Boca Raton, FL.
52. Pachepsky, Ya., V. Yakovchenko, M.C. Rabenhorst, C. Pooley, and L.J. Sikora. 1996b. Fractal parameters of pore surfaces as derived from micromorphological data: Effect of long-term management practices. Geoderma 74:305-319.
53. Perfect, E. 1997. Fractal models for the fragmentation of rocks and soils: A review. Eng. Geol. 48:185-198.
54. Perfect, E. 1999. Estimating soil mass fractal dimension from water retention curves. Geoderma 88:221-231.
55. Perfect, E., and B.D. Kay. 1995. Applications of fractals in soil and tillage research: A review. Soil Tillage Res. 36:1-20.
56. Perrier, E., N. Bird, and M. Rieu. 1999. Generalizing the fractal model of soil structure: The pore-solid fractal approach. Geoderma 88:137-164.
57. Pini, R., E. Benito, A. Paz-González, and G. Vigna Guido. 1993. Microporosity in cultivated and uncultivated soils. Agric. Mediterranea 123:261-266.
58. Posadas, A.N.D., D. Giménez, R. Quiroz, and R. Protz. 2003. Multifractal characterization of soil pore systems. Soil Sci. Soc. Am. J. 67:1361-1369.
59. Rieu, M., and E. Perrier. 1998. Fractal models of fragmented and aggregated soils. p. 169-202. In P. Baveye et al. (ed.) Fractals in soil science. CRC Press, New York.
60. Rieu, M., and G. Sposito. 1991a. Fractal fragmentation, soil porosity, and soil water properties: I. Theory. Soil Sci. Soc. Am. J. 55:1231-1238.
61. Rieu, M., and G. Sposito. 1991b. Fractal fragmentation, soil porosity, and soil water properties: II. Applications. Soil Sci. Soc. Am. J. 55:1239-1244.
62. Rogasik, H., J.W. Crawford, O. Wendroth, I.M. Young, M. Joschko, and K. Ritz. 1999. Discrimination of soil phases by dual energy x-ray tomography. Soil Sci. Soc. Am. J. 63:741-751.
63. SAS Institute. 1999. SAS user's guide. SAS Inst., Cary, NC.
64. Saucier, A., and J. Muller. 1993. Remarks on some properties of geometrical multifractals. Physica A 199:350-362.
65. Soil Survey Staff. 1999. Soil taxonomy: A basic system of soil classification for making and interpreting soil surveys. USDA Agric. Handb. 436. U.S. Gov. Print. Office, Washington, DC.
66. Sokolowska, Z., M. Hajnos, G. Jozefaciuk, C. Hoffmann, and J.M. Renger. 1997. Influence of humic acid on water adsorption characteristics of kaolin and quartz. Z. Pflanzenernaehr. Bodenkd. 160:327-331.
67. Sokolowska, Z., and S. Sokolowski. 1999. Influence of humic acid on surface fractal dimension of kaolin: Analysis of mercury porosimetry and water vapour adsorption data. Geoderma 88:233-249.
68. Stengel, P. 1981. Relation entre le retrait et le potentiel de l'eau dans les mélanges smectite-limon. (In French, with English abstract). C. R. Acad. Sci. Ser. 2 293:465-468.
69. Toledo, P.G., R.A. Novy, H.T. Davis, and L.E. Scriven. 1990. Hydraulic conductivity of porous media at low water content. Soil Sci. Soc. Am. J. 54:673-679.
70. Valentin, C., and L.E. Bresson. 1992. Morphology, genesis, and classification of surface crusts in loamy and sandy soils. Geoderma 55:225-245.
71. West, L.T., S.C. Chiang, and L.D. Norton. 1992. The morphology of surface crusts. p. 73-92. In M.E. Sumner and B.A. Stewart (ed.) Soil crusting: Chemical and physical processes. Lewis Publ., Boca Raton, FL.