Modelling soil water retention scaling. Comparison of a classical fractal model with a piecewise approach

Geoderma ◽  
2005 ◽  
Vol 125 (1-2) ◽  
pp. 25-38 ◽  
Author(s):  
H. Millán ◽  
M. González-Posada
Keyword(s):  
Soil Water ◽  
Water Retention ◽  
Fractal Model ◽  
Soil Water Retention

scholarly journals A Fractal Model to Interpret Porosity-Dependent Hydraulic Properties for Unsaturated Soils

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Annan Zhou ◽  
Yang Fan ◽  
Wen-Chieh Cheng ◽  
Junran Zhang
Keyword(s):  
Fractal Dimension ◽  
Soil Water ◽  
Pore Volume ◽  
Unsaturated Soils ◽  
Hydraulic Properties ◽  
Water Retention ◽  
Pore Radius ◽  
Fractal Model ◽  
Soil Water Retention ◽  
Hydraulic Behaviour

This paper presents a simple fractal model to quantify the effects of initial porosity on the soil-water retention curve and hydraulic conductivity of unsaturated soils. In the proposed conceptual model, the change of maximum pore radius, which largely determines the change of the air-entry value, is directly related to the fractal dimension of pore volume (D) and porosity change. The hydraulic properties of unsaturated soils are then governed by the maximum pore radius, the fractal dimension of pore volume (D), and the fractal dimension of drainable pore volume (Dd ≤ D). The new fractal model removes the empirical fitting parameters that have no physical meaning from existing models for porosity-dependent water retention and hydraulic behaviour and employs parameters of fractal dimensions that are intrinsic to the nature of the fractal porous materials. The proposed model is then validated against experimental data from the literature on soil-water retention behaviour and unsaturated conductivity.

SCALING OF SOIL WATER RETENTION USING A FRACTAL MODEL

Soil Science ◽  
1995 ◽  
Vol 159 (2) ◽  
pp. 99-104 ◽  
Author(s):  
YA. A. PACHEPSKY ◽  
R. A. SHCHERBAKOV ◽  
L. P. KORSUNSKAYA
Keyword(s):  
Soil Water ◽  
Water Retention ◽  
Fractal Model ◽  
Soil Water Retention

Use of a fractal model for determining soil water retention curves

Geoderma ◽  
1998 ◽  
Vol 85 (4) ◽  
pp. 307-323 ◽  
Author(s):  
Vincenzo Comegna ◽  
Paolo Damiani ◽  
Angelo Sommella
Keyword(s):  
Soil Water ◽  
Water Retention ◽  
Fractal Model ◽  
Soil Water Retention

A NOTE ON THE PHYSICS OF SOIL WATER RETENTION THROUGH FRACTAL PARAMETERS

Fractals ◽  
2006 ◽  
Vol 14 (02) ◽  
pp. 143-148 ◽  
Author(s):  
H. MILLÁN ◽  
M. AGUILAR ◽  
J. DOMÌNGUEZ ◽  
L. CÈSPEDES ◽  
E. VELASCO ◽  
...  
Keyword(s):  
Soil Water ◽  
Water Retention ◽  
Goodness Of Fit ◽  
Fractal Model ◽  
Data Sets ◽  
Retention Data ◽  
Soil Water Retention ◽  
Data Set ◽  
Mass Fractal ◽  
Fractal Parameters

Fractals are important for studying the physics of water transport in soils. Many authors have assumed a mass fractal structure while others consider a fractal surface approach. Each model needs comparisons on the same data set in terms of goodness-of-fit and physical interpretation of parameters. In this note, it is shown, with some representative data sets, that a pore-solid interface fractal model could fit soil water retention data better than a mass fractal model. In addition to the interfacial fractal dimension, this model predicts the tension at dryness. This value is very close to 106 kPa as theoretically predicted.

INFLUENCE OF SOIL MATRIX ON SOIL-WATER RETENTION CURVE AND HYDRAULIC CHARACTERISTICS

2017 ◽  
Vol 16 (4) ◽  
pp. 869-877
Author(s):  
Vasile Lucian Pavel ◽  
Florian Statescu ◽  
Dorin Cotiu.ca-Zauca ◽  
Gabriela Biali ◽  
Paula Cojocaru
Keyword(s):  
Soil Water ◽  
Water Retention ◽  
Water Retention Curve ◽  
Hydraulic Characteristics ◽  
Soil Water Retention Curve ◽  
Soil Water Retention ◽  
Soil Matrix ◽  
Retention Curve
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