Modeling water movement in horizontal columns using fractal theory

Revista Brasileira de Ciência do Solo

Tairone Paiva Leão²  Edmund Perfect¹ 

[1] ,Universidade de Brasília Faculdade de Agronomia e Medicina Veterinária Brasília DF

关键词: numerical modeling;    Hydrus 2D;    fractal model;    Cantor bar;    sorptivity;    soil physics;    modelagem numérica;    Hydrus 2D;    modelos fractais;    Conjunto de Cantor;    sortividade;    física do solo;   

DOI  :  10.1590/S0100-06832010000400042

来源: SciELO

【 摘 要 】

Fractal mathematics has been used to characterize water and solute transport in porous media and also to characterize and simulate porous media properties. The objective of this study was to evaluate the correlation between the soil infiltration parameters sorptivity (S) and time exponent (n) and the parameters dimension (D) and the Hurst exponent (H). For this purpose, ten horizontal columns with pure (either clay or loam) and heterogeneous porous media (clay and loam distributed in layers in the column) were simulated following the distribution of a deterministic Cantor Bar with fractal dimension H" 0.63. Horizontal water infiltration experiments were then simulated using Hydrus 2D software. The sorptivity (S) and time exponent (n) parameters of the Philip equation were estimated for each simulation, using the nonlinear regression procedure of the statistical software package SAS®. Sorptivity increased in the columns with the loam content, which was attributed to the relation of S with the capillary radius. The time exponent estimated by nonlinear regression was found to be less than the traditional value of 0.5. The fractal dimension estimated from the Hurst exponent was 17.5 % lower than the fractal dimension of the Cantor Bar used to generate the columns.

【 授权许可】

CC BY   
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