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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 16, issue 1
Nonlin. Processes Geophys., 16, 159–168, 2009
https://doi.org/10.5194/npg-16-159-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nonlin. Processes Geophys., 16, 159–168, 2009
https://doi.org/10.5194/npg-16-159-2009
© Author(s) 2009. This work is distributed under
the Creative Commons Attribution 3.0 License.

  26 Feb 2009

26 Feb 2009

Characterizing water fingering phenomena in soils using magnetic resonance imaging and multifractal theory

A. Posadas1,3, R. Quiroz1, A. Tannús2, S. Crestana3, and C. M. Vaz3 A. Posadas et al.
  • 1International Potato Center – CIP, P.O. Box 1558, Lima 12, Peru
  • 2Departamento de Física e Informática, Instituto de Física de São Carlos, Universidade de São Paulo, Av. Dr. Carlos Botelho 1465, CEP 13560-250 São Carlos – SP, Brazil
  • 3Embrapa Instrumentação Agropecuária, Rua XV de Novembro, 1452, São Carlos, SP – CEP 13560-970, Brazil

Abstract. The study of water movement in soils is of fundamental importance in hydrologic science. It is generally accepted that in most soils, water and solutes flow through unsaturated zones via preferential paths or fingers. This paper combines magnetic resonance imaging (MRI) with both fractal and multifractal theory to characterize preferential flow in three dimensions. A cubic double-layer column filled with fine and coarse textured sand was placed into a 500 gauss MRI system. Water infiltration through the column (0.15×0.15×0.15 m3) was recorded in steady state conditions. Twelve sections with a voxel volume of 0.1×0.1×10 mm3 each were obtained and characterized using fractal and multifractal theory. The MRI system provided a detailed description of the preferential flow under steady state conditions and was also useful in understanding the dynamics of the formation of the fingers. The f(α) multifractal spectrum was very sensitive to the variation encountered at each horizontally-oriented slice of the column and provided a suitable characterization of the dynamics of the process identifying four spatial domains. In conclusion, MRI and fractal and multifractal analysis were able to characterize and describe the preferential flow process in soils. Used together, the two methods provide a good alternative to study flow transport phenomena in soils and in porous media.

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