Fractal approach to hydraulic properties in unsaturated porous media

Xu, Yongfu; Dong, Ping

doi:10.1016/s0960-0779(03)00045-6

Cited by 67 publications

(30 citation statements)

References 15 publications

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“…This is not accounted by our model, therefore representing a limitation of it (see discussion in [32]). Starting from the (calibrated) WRCs, the hydraulic conductivity is straightforwardly fully determined by means of (11) and (13). The theoretical models are compared against the experimental data collected during the campaign at the Ponticelli site, and results (corresponding to the WRCs considered in the Figure 1(a), Figure 2(a) and Figure 3(a)) are shown in the Figure 1(b), Figure 2(b) and Figure 3(b).…”

Section: Resultsmentioning

confidence: 99%

“…In the past years, an important boost came from the fractal geometry [6]- [8] which was used to characterize the hydraulic conductivity by means of the fractal properties of pore spaces ([9] [10]). This has permitted relating the fractal dimension at low water content values to the physics of thin water films [11] either by combining Kock's curve to the flow (Poiseuille) equation [12], or by dealing with the fractal dimension of the porosity and a diffusion-type (Millington and Quirk) equation [13]. An exhaustive review of all these models can be found in ( [14] [15] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Two Fractal Regimes of the Soil Hydraulic Properties

Bartolo¹,

Fallico²,

Severino³

et al. 2014

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A fractal analysis of the soil retention and hydraulic conductivity curves is presented. The retention process is modeled by a two fractal regimes: one pertaining to high water content values, and another accounting for the low water content data. This significantly improves the physical insight of the retention process as compared with the case of one-fractal models. The fractal dimensions characterizing the two regimes are estimated by fitting the retention curve model upon real data, and subsequently they are used to determine the hydraulic conductivity which for the retention curve models of Mualem and Burdine, is obtained in closed form. The reliability of the model is tested against independent conductivity data collected in a field-scale campaign.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two Fractal Regimes of the Soil Hydraulic Properties

Bartolo¹,

Fallico²,

Severino³

et al. 2014

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“…Comegna et al [35] used "Tyler and Wheatcraft fractal model" for determining soil-water retention curves. Meanwhile, in Xu and Dong [36], the soil-water characteristics, hydraulic conductivity, and soilwater diffusivity of unsaturated soils are derived and expressed by only two parameters, the fractal dimension and the air-entry value, which can be evaluated from the fractal model for the pore size distribution. In [37], Shi et al presented a series of fractal models developed to investigate the effect of gas diffusion layer's wettability on liquid water and gas permeation.…”

Section: Introductionmentioning

confidence: 99%

Water Absorption Properties of Cement Pastes: Experimental and Modelling Inspections

Casnedi

Cocco

Meloni

et al. 2018

Advances in Materials Science and Engineering

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An intermingled fractal units' model is shown in order to simulate pore microstructures as pore fraction and pore size distribution. is model is aimed at predicting capillary water absorption coefficient and sorptivity values in cement pastes. e results obtained are in good agreement with the experimental ones. For validating this model, a comparison with other procedures has been shown. It is possible to establish that the newly proposed method matches better with the experimental results. at is probably due to the fact that pore size distribution has been considered as a whole. Moreover, even though the proposed model is based on fractal base units, it is able to simulate and predict different properties as well as nonfractal porous microstructure.

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“…However, Shevnin et al (2006) reported on the estimation of hydraulic conductivity in soil using the resistivity data (geophysical method).They confirmed the influence of the clay contents on the hy-draulic conductivities determined. But Xu and Dong (2004) proposed the fractal technique for predicting the hydraulic conductivity of unsaturated porous media for geophysical, geotechnical and agricultural applications. Simunek and Genuchten (1996) adopted an inverse modeling procedure to estimate the soil hydraulic characteristics of a two-layered soil system-soil surface crust and subsoil-from data obtained during a tension-disc infiltration experiment.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of hydraulic conductivity of lateritic soils using integrated approach: southwestern Nigeria case study

Fajobi

Falade

Adepelumi

et al. 2014

IJAG

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The source of groundwater seepage problem being experienced by some engineering buildings in a part of southwestern Nigeria was investigated by carrying out comparative study of the hydraulic conductivity (K) of the soil types underlying the area using integrated approaches involving geotechnical and geophysical methods.Soil samples were collected from six different towns on which standard geotechnical tests including natural moisture content, grain size distribution, linear shrinkage, specific gravity, liquid and plastic limits, compaction, triaxial and K test were carried out. Also, geophysical data were acquired at seventy-two locations using Schlumberger array with a current electrode spacing of 40m. The resistivity data obtained were subsequently inverted to obtain the subsurface 2D hydraulic conductivity section.The results obtained imply that the soil types investigated is semi-pervious with K values ranging from 1.06 x 10-5 to 5.71 x10-5cm/s. These values suggest moderate groundwater flow which might account for the seepage that was observed. Four lithologies (lateritic topsoil, clayey-sand, sandy-clay and fractured/weathered bedrock) were delineated. The geotechnical analysis result suggests the soil investigated could be classified as poorly graded sandy-clay and/or silty-clay. This soil exhibit plasticity index ranging from 12.72 to 19.75%, with specific gravity ranging from 2.47 to 2.73; the maximum dry density (MDD) varies from 1699.5 kg/cm3 to 1915kg/cm3 and the optimum moisture content (OMC) ranges from 12.05% to 16.32%.The result of the t-test results performed implied that at 95% tâ€“confidence level, there is a good correlation between the results obtained from both approaches employed.

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Fractal approach to hydraulic properties in unsaturated porous media

Cited by 67 publications

References 15 publications

Two Fractal Regimes of the Soil Hydraulic Properties

Two Fractal Regimes of the Soil Hydraulic Properties

Water Absorption Properties of Cement Pastes: Experimental and Modelling Inspections

Evaluation of hydraulic conductivity of lateritic soils using integrated approach: southwestern Nigeria case study

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