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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 14, issue 4
Nonlin. Processes Geophys., 14, 425–434, 2007
https://doi.org/10.5194/npg-14-425-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue: New developments in scaling, scale and nonlinearity in the...

Nonlin. Processes Geophys., 14, 425–434, 2007
https://doi.org/10.5194/npg-14-425-2007
© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  20 Jul 2007

20 Jul 2007

Wavelet analysis in a structured clay soil using 2-D images

J. A. Piñuela1, D. Andina2, K. J. McInnes3, and A. M. Tarquis4 J. A. Piñuela et al.
  • 1Universidad Europea de Madrid, Villaviciosa de Odón, Madrid, 28040, Spain
  • 2Dpto. de Señales, Sistemas y Radiocomunicación. E.T.S. Ingenieros de Telecomunicaciones, U.P.M. Ciudad Universitaria s.n. Madrid 28040, Spain
  • 3Dept. of Soil and Crop Sciences. Texas A&M University, 2474 Tamu, College Station, TX 77843, USA
  • 4Dpto. de Matemática Aplicada. E.T.S. Ingenieros Agrónomos, U.P.M. Ciudad Universitaria s.n. Madrid 28040, Spain

Abstract. The spatial variability of preferential pathways for water and chemical transport in a field soil, as visualized through dye infiltration experiments, was studied by applying multifractal and wavelet transform analysis (WTA). After dye infiltration into a 4 m² plot located on a Vertisol soil near College Station, Texas, horizontal planes in the subsoil were exposed at 5 cm intervals, and dye stain patterns were photographed. Box-counting methods and WTA were applied to all of the 16 digitalized high-resolution dye images and to the dye-mass image obtained merging all sections. The well-known Devil's staircase multifractal was also used to illustrate wavelet-based analysis. Our results suggest that wavelet methods can complement box-counting analysis in the context of multiscaling structure analysis.

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