Evaluation of a Pore Fractal Model for the Prediction of Soil Water Retention Curve

Avaliação do escalonamento fractal de alguns solos brasileiros

“…Posteriormente, Alfaro Soto & Vilar (2006) apontaram as dificuldades da equação (8) para previsão da retenção em maiores faixas de sucção e fora da mudança da trajetória do escalonamento dos poros, sendo necessário o uso de duas dimensões fractais, tal como mostrado na figura 4. Nestas figuras as curvas nomeadas com D 1 e D 2 mostram que o uso da equação (8), considerando duas dimensões fractais (produzido por dois escalonamentos de poros em um sistema heterogêneo), poderia ter duas pressões de entrada de ar (ψ b1 e ψ b2 ).…”

“…Sendo uma Revista Brasileira de Geociências, volume 38 (2), 2008 ferramenta com grande potencial de aplicação, o objetivo deste trabalho é investigar algumas questões referentes ao tipo de estruturas fractais dos poros, em solos brasileiros, devido a terem sido observadas características particulares como distribuição de poros bimodais. Outro objetivo é avaliar a possibilidade da previsão da retenção de água, por meio da geometria fractal e do modelo desenvolvido por Alfaro Soto & Vilar (2006), com o emprego de uma dimensão fractal, baseada na distribuição dos poros, em diversos solos brasileiros.…”

Unsaturated Soils: Research and Applications

“…Its use was restricted because the fractal dimension was limited only to capillary pressure curves for pores that showed a gradual and continuous decrease in size, so that more than one fractal dimension and hence more than one curve were necessary to adjust for different soils. Alfaro Soto & Vilar (2006) adapted this model to overcome this limitation. The asymptotic of the curve close to field capacity values of capillary pressure was considered in the model and consequently it became possible to characterize two different scaling regions using the equations:…”

“…This is an indirect approach that adapts the fractal model obtained from the soil-water retention curve in unsaturated soils of Alfaro Soto & Vilar (2006), and the relative permeability model by to characterize the relative permeability of a two phase (LNAPLwater) system. Tyler & Wheatcraft (1990) presented one first development of a model for the representation of the capillary pressure curve based on fractal geometry.…”

Parallel algorithm for fractal model of creation of soil structure using particles-size distributions

“…Fractals are very popular in soil research as a means of characterizing various properties of porous media. For examples: the fractal pore-size distribution was presented by Friesen and Mikula [6], the Sierpinski carpet was used to model the soil water retaining curve by Soto and Vilar [7], the pore-solid interface was modeled by fractals by Toledo et al [8], the thermal conductivity of soils was calculated by Lehmann et al [9] . More information about the different applications of the fractal in soil science is presented in [10].…”