MASS FRACTAL DIMENSION FOR CHARACTERIZING COMPUTATIONALLY SIMULATED NON HOMOGENEOUS SOIL STRUCTURES

Wyllyan Valentim Leal, Fabio Augusto Meira Cássaro, Daniel Giménez, Luis Fernando Pires

Resumo


In this work is present the use of a Boolean Model to computationally simulate non homogeneous soil porous spaces. In this model, the porous space is generated randomly allocating soil aggregates of different sizes (radius). The radius of the aggregates (admitted spherical) varied from 0.4 to 14 mm and two different distributions of the number of aggregates by radius "N(r)" were chosen: 1) in the first distribution, , where Df  (the fractal dimension of fragmentation) varied between 2.08 to 2.99; and 2) in the second one, , where a, b, and c are constants. To each distribution, three different porosities (22%, 26%, and 30%) were chosen. The "Box Counting" method was used to calculate the pore mass fractal dimension "Dv" of each computationally simulated porous space. The results showed that there was an increasing in Dv as Df increased. Also, that higher values of Dv were obtained to porous media with higher porosities.


Palavras-chave


Boolean Model, mass fractal dimension, pore space, non-homogeneous soil.

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Referências


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Direitos autorais 2020 Revista TechnoEng - ISSN 2178-3586