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An analytical model to predict water retention curves for granular materials using the grain-size distribution curve Cover

An analytical model to predict water retention curves for granular materials using the grain-size distribution curve

Open Access
|Dec 2022

Figures & Tables

Figure 1

Conceptual diagram showing the effect of (a) median particle size of uniform sand and (b) width of particle size distribution, on the shape of the soil-water characteristic curve (SWCC) of sand (Craig H. Benson et al. [14]).

Figure 2

Conceptual diagram presenting the effect of (a) the median particle size of uniform sand, and (b) the breadth of particle size distribution, on the parameters α and n (Craig H. Benson et al. [12]).

Figure 3

Typical soil water retention curve (Toll [59]).

Figure 4

Explanatory diagram of the drying and wetting processes in the porous network that is composed of cylinders with radius r; rm is the meniscus radius at the air-water interface (Do. [19]).

Figure 5

Schematic representation of the tensiometric method for the measurement of suction (Feia et al. [25]).

Figure 6

Experimental results used in this study (Feia et al. [25]).

Figure 7

Variation of the degree of residual saturation as a function of the density index.

Figure 8

Calibration of the model on the basis of the experimental data for a) Sand NEI-1, b) Sand NEI-2, and c) Sand NEI-3

Figure 9

Evolution of the parameter α as a function of the density index ID.

Figure 10

Evolution of the parameter (n) as a function of the density index ID.

Figure 11

Validation of the model through the simulation of a test, with a density index ID=0.9 and uniformity coefficient Cu=1.6.

Photo 1

Four types of sand.

Figure 12

Grain-size distributions of all four sands obtained by sieve analysis.

Figure 13

Water retention curves for all four types of sand.

Figure 14

Water retention curves for type 3 sand for different density index values.

Figure 15

Pore-access size distributions for all four types of sand.

Figure 16

Effect of sand density index on pore-access size distribution.

Figure 17

Comparison between the pore-access sizes of four types of sand.

Figure 18

Comparison between the results obtained by the proposed model and those calculated by the law of Della and Feia [47].

Values of the parameters of the proposed model for the three types of sand_

SandNEI-1ID= 0.9NEI-2ID= 0.7NEI-3ID= 0.5

Model parameters
α4.53.43
n8.57.36

Characteristics of the materials to be analyzed_

SandD50 (mm)Cueminemaxρs(g/cm3)
Type 10.181.50.510.792.65
Type 20.372.850.470.752.65
Type 30.422.470.470.762.65
Type 40.550.440.772.65

Characteristics of the used sands_

Sanddg50(μm)Cueminemaxρs(t/m3)
NE342061.50.5570.8842.65
Type of sand NEI-1NEI-2NEI-3
Density index ID 0.90.70.5
DOI: https://doi.org/10.2478/sgem-2022-0025 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
Language: English
Page range: 354 - 369
Submitted on: Jan 1, 2022
Accepted on: Sep 27, 2022
Published on: Dec 10, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2022 Linda Bouacida, Sadok Feia, Sid Ali Denine, Noureddine Della, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.