Multifractal analysis of Hg pore size distributions in soils with contrasting structural stability

Geoderma

Volumn 160, Issue 1, 2010, Pages 64-73

  Paz Ferreiro, J ^a   Vidal Vazquez E ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

Author keywords

Mercury injection; Multifractal analysis; Pore size distribution; Simulated rainfall; Structure stability

Indexed keywords

AGRICULTURAL SOILS; BEFORE AND AFTER; CORRELATION DIMENSIONS; CRUSTED SOILS; DISAGGREGATION; ENTROPY DIMENSION; GENERALIZED DIMENSION; HG-INTRUSION; LOAM SOILS; LOAMY SOILS; MEAN WEIGHT DIAMETER; MERCURY INJECTION; MULTI-FRACTAL ANALYSIS; MULTIFRACTAL MODELS; MULTIFRACTAL PARAMETERS; MULTIFRACTAL SCALING; ORGANIC MATTER CONTENT; PORE VOLUME; POROSIMETRY; SCALING PROPERTIES; SIMULATED RAINFALL; SINGULARITY SPECTRUM; SOIL MANAGEMENT SYSTEM; SOIL STRUCTURE; SOIL SURFACES; SOIL TYPES; STRUCTURAL STABILITIES; STRUCTURE STABILITY; SURFACE LAYERS;

AGRONOMY; BIOGEOCHEMISTRY; BIOLOGICAL MATERIALS; ENTROPY; FRACTALS; HOLMIUM; MERCURY (METAL); ORGANIC COMPOUNDS; POLYACRYLONITRILES; PORE SIZE; RAIN; SIZE DETERMINATION; SIZE DISTRIBUTION; SPECTRUM ANALYSIS; STABILITY; WELL DRILLING;

SOILS;

FRACTAL ANALYSIS; MERCURY (ELEMENT); PORE SPACE; RAINFALL; SILTY LOAM; SOIL MANAGEMENT; SOIL ORGANIC MATTER; SOIL TEXTURE; SURFACE LAYER;

EID: 78649419023     PISSN: 00167061     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.geoderma.2009.11.019     Document Type: Article

References (46)

1. Bartoli F., Philippy R., Doiresse M., Niquet S., Dubuit M. Structure and self-similarity in silty and sandy soils: the fractal approach. Journal of Soil Science 1991, 42:167-185.
2. Bartoli F., Bird N.R.A., Gomendy V., Vivier H., Niquet S. The relation between silty soil structures and their mercury porosimetry curve counterparts: fractals and percolation. European Journal of Soil Science 1999, 50:9-22.
3. Benito E., Santiago J.L., de Blas E., Varela M.E. Deforestation of water repellent soil in Galicia (NW Spain): effects on surface runoff and erosion under simulated rain. Earth Surface Processes and Landforms 2003, 28:145-155.
4. Boiffin J., 1984. La dégradation structurale des couches superficielles du sol sous l'action des pluies. PhD. Thesis. Paris INA-PG. 320pp. + annexes.
5. Caniego J., Martin M.A., San José F. Singularity features of pore-size distribution: singularity strength analysis and entropy spectrum. Fractals 2001, 9:305-316.
6. Caniego F.J., Martín M.A., San José F. Rényi dimensions of soil pore size distribution. Geoderma 2003, 112:205-216.
7. Cattle S., Cousin I., Darboux F., Le Bissonnais I. The effect of crust ageing through wetting and drying, on some surface structural properties. 3rd Australian New Zealand Soils Conference 2004, University of Sydney, Australia, Published in CDROM 6 pp.
8. Chhabra A.B., Meneveau C., Jensen R.V., Sreenivassen K.R. Direct determination of the f(α) singularity spectrum and its application to fully developed turbulence. Physical Review, A 1989, 40:5284-5294.
9. Childs E.C. An Introduction to the Physical Basis of Soil Water Phenomena 1969, Wiley Interscience, New York, 493 pp.
10. Darboux F., Le Bissonnais Y. Changes in structural stability with soil surface crusting: consequences for erodibility estimation. European Journal of Soil Science 2007, 58:1107-1114.
11. Dathe A., Tarquis A.M., Perrier E. Multifractal analysis of the pore- and solid-phases in binary two-dimensional images of natural porous structures. Geoderma 2006, 134:318-326.
12. Dexter A.R. Advances in characterization of soil structure. Soil and Tillage Research 1988, 11:199-238.
13. Díaz-Zorita M., Perfect E., Grove J.H. Disruptive methods for assessing soil structure. Soil and Tillage Research 2002, 64:3-22.
14. Ehlers W., Wendroth O., de Mol F. Characterizing pore organization by soil physical parameters. Advances in Soil Science 1995, 257-275. K.H. Hartge, B.A. Steward (Eds.).
15. Everstz C.J.G., Mandelbrot B.B. Multifractal measures. Chaos and Fractals 1992, 921-953. Springer, Berlin. H. Peitgen, H. Jürgens, D. Saupe (Eds.).
16. Feder J. Fractals 1988, Plenum Press, New York, 283 pp.
17. Fiès J.C. Analysis of soil textural porosity relative to skeleton particle size, using mercury porosimetry. Soil Science Society of America Journal 1992, 56:1062-1067.
18. Fiès J.C., Bruand A. Textural porosity of a silty clay soil using pore volume balance estimation, mercury porosimetry and quantified backscattered electron scanning image (BESI). Geoderma 1998, 47:209-219.
19. Gomendy V., Bartoli F., Burtin G., Doiresse M., Philippy R., Niquet S., Vivier H. Silty topsoil structure and its dynamics: the fractal approach. Geoderma 1999, 88:165-189.
20. Gouyet J.F. Physics and Fractal Structure 1996, Springer Verlag, Berlin.
21. Grau J., Méndez V., Tarquis A.M., Díaz M.C., Saa A. Comparison of gliding box and box-counting methods in soil image analysis. Geoderma 2006, 134:349-359.
22. Greenland D.J. Soil management and soil degradation. Journal of Soil Science 1981, 32:301-322.
23. Halsey T.C., Jensen M.H., Kanadoff L.P., Procaccia I., Shraiman B.I. Fractal measures and their singularities: the characterization of strange sets. Physical Review, A 1986, 33:1141-1151.
24. Hentschel H.G.E., Procaccia I. The infinite number of generalized dimensions of fractals and strange attractors. Physica D 1983, 8:435-444.
25. Hopmans J.W., Cislerova M., Vogel T. X-ray tomography of soil properties. Soil Science Society of America Journal 1994, 56:17-28.
26. Jocefaciuk G., Muranyi A., Szatanik-Kloc A., Farkas A., Gyuricza C. Changes of surface fine pore and variable charge properties of a brown forest soil under various tillage practices. Soil Tillage Research 2001, 59:127-135.
27. Kravchenko A., Boast C.W., Bullock D.G. Multifractal analysis of soil spatial variability. Agronomy Journal 1999, 97:1033-1041.
28. Lado M., Paz A., Ben-Hur M. Organic matter and aggregate-size interactions in saturated hydraulic conductivity. Soil Science Society of America Journal 2004, 68:234-242.
29. Le Bissonnais Y. Aggregate stability and assessment of soil crustability and erodibility: I. theory and methodology. European Journal of Soil Science 1996, 47:425-437.
30. Lee S.S., Gantzer C.J., Thompson A.L., Anderson S.H., Ketcham R.A. Using high-resolution computed tomography analysis to characterize soil-surface seals. Soil Science Society of America Journal 2008, 72:1478-1485.
31. Mandelbrot B.B. The Fractal Geometry of Nature 1983, W. H. Freeman and Company, New York, 468 pp.
32. Monnier G., Stengel P., Fiès J.C. Une mèthode de mesure de la densité apparente de petits agglomerates terreux. Application à lànalyse des systèmes de porosité du sol. Annales Agronomiques 1973, 24:523-545. In French, with English abstract.
33. Pachepsky Y., Polubesova T.A., Hajnos M., Sokolowska Z., Józefaciuk G. Fractal parameters of pore surface area as influenced by simulated soil degradation. Soil Science Society of America Journal 1995, 59:68-75.
34. Pachepsky Y., Korkunskaia L.P., Hajnos M. Fractal parameters of soil pore surface area under a developing crop. Fractals 1996, 4:97-104.
35. Pagliai M., Vignozzi N., Pellegrini S. Soil structure and the effect of management practices. Soil and Tillage Research 2004, 79:131-143.
36. Perrier E., Bird N., Rieu M. Generalizing the fractal model of soil structure: the pore-solid fractal approach. Geoderma 1999, 88:137-164.
37. Pini R., Benito Rueda E., Paz González A., Vigna Guidi G. Microporosity in cultivated and uncultivated soils. Agricultura Mediterranea 1993, 123:261-266.
38. Posadas A.N., Giménez D.D., Quiroz R., Protz R. Multifractal characterization of soil pore systems. Soil Science Society of America Journal 2003, 67:1361-1369.
39. Rényi A. On a new axiomatic theory of probability. Acta Mathematica Hungarica 1955, VI:285-335.
40. Rieu M., Perrier E. Fractals models of fragmented and aggregated soils. Fractals in Soil Sciences 1998, 169-202. CRC Press LLC. P. Baveye, J.Y. Parlange, B.A. Stewart (Eds.).
41. Ringrose-Voase A.J., Bulock P. The automatic recognition and measurement of soil pore types by image analysis and computer programs. Journal of Soil Science 1984, 35:673-684.
42. 1999, SAS-Statistical Analysis System, SAS Institute, Users SAS Institute, NC. USA.
43. Schertzer D., Lovejoy S. Nonlinear Variability in Geophysics 1991, Academic Publishers, Dordrecht, The Netherlands, 318 pp.
44. Keys to Soil Taxonomy 2006, Soil Survey Staff Classification, Washington. DC. 341 pp. Tenth Edition.
45. Tarquis A., Giménez D., Saá A., Díaz M.C., Gascó J.M. Scaling and multiscaling of soil pore systems determined by image analysis. Scaling Methods in Soil Physics 2003, CRC Press, 434 pp. J. Pachepsky, D.E. Radcliffe, H.M. Selim (Eds.).
46. Vidal Vázquez E., Paz Ferreiro J., Miranda J.G.V., Paz González A. Multifractal analysis of pore size distributions as affected by simulated rainfall. Vadose Zone Journal 2008, 7:500-511.