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Unsaturated flows in soils with self-similar hydraulic conductivity distribution

Identifieur interne : 001331 ( Main/Exploration ); précédent : 001330; suivant : 001332

Unsaturated flows in soils with self-similar hydraulic conductivity distribution

Auteurs : -M. Chang [États-Unis] ; W. Kemblowski [États-Unis]

Source :

RBID : ISTEX:7A880BF4779004A5127211111469C6FEF5774B16

English descriptors

Abstract

Abstract: In this article, we are concerned with the statistics of steady unsaturated flow in soils with a fractal hydraulic conductivity distribution. It is assumed that the spatial distribution of log hydraulic conductivity can be described as an isotropic stochastic fractal process. The impact of the fractal dimension of this process, the soil pore-size distribution parameter, and the characteristic length scale on the variances of tension head and the effective conductivity is investigated. Results are obtained for one-dimensional and three-dimensional flows. Our results indicate that the tension head variance is scale-dependent for fractal distribution of hydraulic conductivity. Both tension head variance and effective hydraulic conductivity depend strongly on the fractal dimension. The soil pore-size distribution parameter is important in reducing the variability of the unsaturated hydraulic conductivity and of the fluxes.

Url:
DOI: 10.1007/BF01588758


Affiliations:


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Le document en format XML

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<div type="abstract" xml:lang="en">Abstract: In this article, we are concerned with the statistics of steady unsaturated flow in soils with a fractal hydraulic conductivity distribution. It is assumed that the spatial distribution of log hydraulic conductivity can be described as an isotropic stochastic fractal process. The impact of the fractal dimension of this process, the soil pore-size distribution parameter, and the characteristic length scale on the variances of tension head and the effective conductivity is investigated. Results are obtained for one-dimensional and three-dimensional flows. Our results indicate that the tension head variance is scale-dependent for fractal distribution of hydraulic conductivity. Both tension head variance and effective hydraulic conductivity depend strongly on the fractal dimension. The soil pore-size distribution parameter is important in reducing the variability of the unsaturated hydraulic conductivity and of the fluxes.</div>
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