# Study of Physical and Mechanical Relationships during the Natural Dewatering of River Sediments and a Kaolin

Dalel Azaiez, Beatriz Boullosa Allariz, Daniel Levacher

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Dalel Azaiez, Beatriz Boullosa Allariz, Daniel Levacher. Study of Physical and Mechanical Relationships during the Natural Dewatering of River Sediments and a Kaolin. Journal of Marine Science and Engineering, 2024, 12 (8), 10.3390/jmse12081354. hal-05060950

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Article

# Study of Physical and Mechanical Relationships during the Natural Dewatering of River Sediments and a Kaolin

Dalel Azaiez <fnref n="1" />,<fnref n="2" />, Beatriz Boullosa Allariz <fnref n="2" /> and Daniel Levacher <fnref n="2" />,*

**Abstract:** This paper investigated the relationships of some physical and mechanical parameters of sediments and a typical clay during a natural dewatering process. Four sediments from different French river dams sampled by the Électricité De France group (EDF group) and a commercial kaolin clay used for comparative purposes were the focus of this study. Continuous dewatering was monitored in a laboratory by quantifying the percentage of water remaining in sediments or clay, drained and evaporated. Undrained shear strength was also assessed during the sediment or clay dewatering process, using the laboratory vane shear test. The samples were controlled along different dimensions during the dewatering process throughout the whole experiment. The results showed a certain interdependence between the physical parameters and the water content (ω), which was normalized by the liquidity limit (ω/L<sub>L</sub>) over time. This led to sigmoidal and exponential correlations when considering the percentage of water drained. The percentage of water remaining in the sediments or clay was characterized using the normalized water content, leading to exponential and power correlations. Both exponential and linear correlations were perfect for describing the evolution of the percentage of water evaporated. Other correlations were established for variations in void index, dry unit weight/solid unit weight ratio and undrained shear strength during the dewatering process.

**Keywords:** sediments; undrained shear strength; dewatering; water content; vane shear testing; correlations

## 1. Introduction

Sediment dredging is an essential and inevitable operation for ensuring the safety and navigability of ships in shipping lanes and their access to ports. It involves maintenance and investment dredging for many ports. Throughout the world, a significant quantity of sediment is dredged annually. Each year, it is around $50 \times 10^6 \text{ m}^3$ in France, $300 \times 10^6 \text{ m}^3$ in Europe and more than double worldwide [1-4]. In Tunisia, it averages just $8.5 \times 10^6 \text{ m}^3$ [5]. The dumping of dredged sediments at sea is regulated by national and international conventions, such as the London Convention [6]. It is an easy way and an economic solution for sediment management even if it implies the need for a thorough study of its impact on the aquatic environment. In France, around 90-95% of marine and estuarine dredged sediments are immersed in the sea [7]. However, regulations on dumping of sediments in the sea are becoming stricter in every country, and onshore sediment management needs to be implemented. Moreover, sediments can be a renewable resource and a source of materials for long-term recycling. Many beneficial uses of dredged sediments have been investigated worldwide such as materials in construction and for filling and materials in road engineering [8-20].

Onshore sediment management involves storing a large volume of dredged sediment with a very highwater content, which makes it difficult to transport, for instance, to storage areas for recycling. This necessarily means that the sediment has to be dewatered.

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**Citation:** Azaiez, D.; Boullosa Allariz, B.; Levacher, D. Study of Physical and Mechanical Relationships during the Natural Dewatering of River Sediments and a Kaolin. *J. Mar. Sci. Eng.* **2024**, *12*, 1354. https://doi.org/10.3390/jmse12081354

Academic Editor: Gemma Aiello

Received: 10 July 2024

Revised: 2 August 2024

Accepted: 3 August 2024

Published: 8 August 2024

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**Copyright:** © 2024 by the authors.
Licensee MDPI, Basel, Switzerland.
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

<footnote n="1">¹ Laboratoire de Recherche Ingénierie Géotechnique, LRI4ES03, Ecole Nationale d'Ingénieurs de Tunis, Université de Tunis El Manar, BP37, Le Belvédère, Tunis 1002, Tunisia; dalelazaiez@gmail.com</footnote>

<footnote n="2">² M2C, UMR 6143 CNRS, University of Caen Normandy, 14000 Caen, France; bea.boullosa.allariz@gmail.com</footnote>

<footnote>* Correspondence: daniel.levacher@unicaen.fr</footnote>
Mechanical dewatering processes have been recently developed for dredged sediments but the rate of volume of sediments to be dewatered is limited. Moreover, the placement of the machinery must be near the dredging operations that pose a problem [21–23]. Natural dewatering is considered the most economical and environmentally friendly way to eliminate water from dredged sediments even if this technique requires significant onshore deposit areas. This is a time-consuming method, but it is possible to accelerate the dewatering by returning the sediment. Such an operation requires earthmoving machinery on the site and a certain bearing capacity of deposited sediments to ensure safe and smooth traffic for the machinery. Loss of water induces reduced volume and weight for the final transport towards the recycling area and could be considered as an economic and environmental benefit.

If the natural dewatering technique is a sustainable, eco-friendly and economical solution, it is important to understand how the sediment is dewatered and what the physical and mechanical parameters which govern dewatering are. Laboratory dewatering tests were performed on four river sediments and a typical clay to study their behavior throughout the dewatering process by assessing the quantity of water drained, evaporated and remaining in the sediments and clay. The choice of river sediments was made because their dumping at sea is not economically feasible due to the distance from the coastline, and mechanical dewatering could not be performed due to difficult access near the rivers. During these tests, other physical parameters were measured such as the dimensions of tested samples, geotechnical parameters and the undrained shear strength Su [24–26]. Relationships between physical and mechanical parameters were proposed in such a way that it represents the dewatering process of river sediments and reduces the duration of laboratory tests which can take more than one month.

## 2. Materials and Methods

### 2.1. *Samples*

The four river sediments were proposed by Electricité de France (EDF Group) because they were located near river dams (IS, RA and SA) and near a nuclear power station (RH) where dredging operations have been planned in the short term. The IS sediment came from samples extracted in the Sautet dam, located in the region of Auvergne-Rhone Alps. These alpine sediments were dredged in 2012 from 50 m under water. The SA sediment from St-Aignan in Brittany region (West of France) were sampled from the downstream part of the Guerlédan dam from a 2 m depth. For these sediments, the geotechnical campaign was performed in March 2015 [23]. Estuarine sediment was also included; the RA sediment was from the Rance dam located at the mouth of the coastal river of Rance between the municipalities of Richardais and Saint-Malo. These sediments were extracted during November 2014 and March 2015 to be desalted. They were delivered in 2017 after being completely dried [22]. RH sediment from the Great East region (Rhin river), exactly from the Marckolsheim river dam near a nuclear power station, were also investigated in this study. These RH sediments were sampled in 2012 from a depth that ranges between 1.3 m and 9 m under the water [27]. In addition, a kaolin (KA) sample completed the four sediment samples. It was chosen as a typical laboratory clay for comparing the different behaviors during the dewatering process. These four river sediments and kaolin will be referenced as “all samples” in the following sections.

### 2.2. *Testing Methods*

#### 2.2.1. Natural Dewatering Test Procedure

The experimental procedure involves dewatering of the sediments or clay in the open air, which consists of eliminating water contained in samples through evaporation and drainage. It decreases the sample water content. The dewatering process is accompanied by volume variation which was quantified based on the evolution of void ratio. These variations depend on the physiochemical and mineralogical characteristics of the soils or sediments tested.
Different samples were prepared and tested to study their behavior during the dewatering process at a small scale. Saturated samples were put into sieves of sizes as indicated in Table 1, allowing water drainage and evaporation; see the rationale in Figure 1a. The investigated sediments and clay were first oven-dried and then weighed (Figure 1b) to provide the quantity to be hydrated at twice the liquid limit of the sediment or clay.

<table><caption>**Table 1.** All samples' tested sizes.</caption><thead><tr><th>Samples References</th><th>IS</th><th>RA</th><th>RH</th><th>SA</th><th>KA</th></tr></thead><tbody><tr><td>Sample diameter (mm)</td><td>210</td><td>185</td><td>185</td><td>165</td><td>420</td></tr><tr><td>Sample height (mm)</td><td>70</td><td>70</td><td>70</td><td>70</td><td>75</td></tr></tbody></table>

<figure><img src="image_4.png" /><figcaption>(a) Water drainage and evaporation in the sieve sample</figcaption></figure>

<figure><img src="image_5.png" /><figcaption>(c) Sample hydration</figcaption></figure>

<figure><img src="image_6.png" /><figcaption>(b) Dry sediment weighing</figcaption></figure>

<figure><img src="image_7.png" /><figcaption>(d) Sediment ready to dewatering test</figcaption></figure>

<caption>**Figure 1.** Natural dewatering process: principle, procedure and monitoring.</caption>

As illustrated in Figure 1c, the sediment or clay for a water content of $\omega_0 = 2 L_L$ is placed in a sieve (2) with a non-woven polypropylene filtration geotextile sheet of 160 g/m² at its bottom (1) to ensure sediment drainage without any particle loss and to prevent any particles from blocking the 10 mm sieve mesh. The sieve mesh and geotextile guarantee fluid water drainage from the dewatered samples.

The drained water is to be recovered into the plastic support (3). The lubricating oil (5) is applied to facilitate the sample extraction from the sieve when being completely dried. All the equipment used are weighed before starting the dewatering; once all settled as shown in Figure 1d, they are put all together on the balance weight (4) and have their weight reset to 0 kg for finding out the weight of the necessary sample to fill the sieve with. The sieve filled with the sample will be kept permanently in the plastic support at an ambient room temperature of $20 \,^{\circ}\text{C} \pm 2 \,^{\circ}\text{C}$. It is removed once a day to be weighed which allows for measuring the water remaining in the material, $E_1$. The support is also weighed with the drained water $E_2$ to determine and deduce the evaporated water $E_3$.
The consistency of samples initially saturated with water content superior to the liquid limit evolves from a liquid state to a dry state when they are completely dewatered [24]. During the dewatering process, the sample goes through three steps: (a), (b) and (c). When the sediment is at water content equal to its liquid limit, during the first step (a), the water for the experiment is completely contained in the sediment (E₁a, mass of water contained in the sediment during the first stage of dewatering (a)); meanwhile, the masses of the drained and evaporated water E₂a and E₃a are null (E₂a, E₃a: mass of water drained and mass of water evaporated from the sediment during the first stage of dewatering (a)). During the following steps (b) and (c), the sample has a plastic consistency. The second step (b) corresponds to the drained water quantity E₂b (mass of water drained from the sediment during the second stage of dewatering (b)) when it predominates until reaching a maximum value over the evaporated water E₃b (mass of water evaporated from the sediment during the second stage of dewatering (b)) that is negligible. Then, in the third step (c), the quantities of evaporated water E₃c (mass of water evaporated from the sediment during the third stage of dewatering (c)) increase remarkably, while the water likely to be drained E₂c (mass of water drained from the sediment during the third stage of dewatering (c)) becomes very insignificant. Finally, the samples reach the shrinkage limit, and crack openings are observed in the sample.

During the dewatering process, as the sample dimensions vary, the sample settlement and diameter are measured. A vernier caliper that provides an accuracy of 0.01 mm is used to make these measurements. The diameter is measured within three equidistant positions on the sieve perimeter. As the used sieves were completely filled, it has allowed us to consider the sieve's upper surface as a reference for the settlement measurement. The void ratio and state parameters are then determined. The unit weight of solid particles Ys is considered equal to 26.5 kN/m³ for data analysis.

### 2.2.2. Undrained Shear Strength Monitoring

All samples' shear strength Su was measured using the laboratory vane shear test. It is well known that undrained shear strength governs the short-term stability mechanisms and failure of landfills, foundations and dams. Its measurement on site could be useful at different steps of the sediment dewatering to manage their storage time, their handling, their removal, etc. During the sample dewatering test, Su was quantified using the vane shear test (VST) as the sediment dried. Considering the evolution of sample resistance measured with the vane shear test while dewatering, different blades and springs were used. The undrained shear strength was determined according to the ASTM standard [28] as given in Equation (1).

$$ Su = (2 Mmax)/(\pi D^2 (H + D/3)) \quad (1) $$

where Su is the undrained shear strength; H is the height of the vane blade, D is the vane diameter, and Mmax is the maximum recorded torque at failure.

## 3. Results and Discussion

### 3.1. Sediment Characterization

Using the laser apparatus (Beckman LS320 type, Beckman Coulter, Brea, CA, USA), the grain size distribution is shown in Figure 2. The uniformity coefficient c_u and gradation coefficient c_c were determined with a grain size analysis. For all tested samples, it was found that Cu > 5 and 1 < Cc < 3—see Table 2—and they were well graded. According to the Soil Survey Manual and soil classification system of the United States Department of Agriculture [29] (Figure 3), it is confirmed that the RH, IS and RA sediments have a silt loam structure; the sandy loam structure is attributed to the SA sediment, whereas the kaolin has a silt clay loam structure.
<figure><img src="image_8.png" /><figcaption>**Figure 2.** Grain size distribution of sediments.</figcaption></figure>

<table><caption>**Table 2.** Sediment physiochemical characteristics.</caption><thead><tr><th rowspan="2">Samples</th><th colspan="2">Gradation Coefficients</th><th rowspan="2">OM (%)</th><th rowspan="2">CaCO<sub>3</sub> (%)</th><th rowspan="2">ω<sub>0</sub> (%)</th><th colspan="3">Atterberg Limits</th></tr><tr><th>Cu</th><th>Cc</th><th>L<sub>L</sub> (%)</th><th>P<sub>L</sub> (%)</th><th>P<sub>I</sub> (%)</th></tr></thead><tbody><tr><td>IS</td><td>19.07</td><td>2.36</td><td>3.71</td><td>18.19</td><td>92.0</td><td>46</td><td>30</td><td>16</td></tr><tr><td>RA</td><td>13.48</td><td>1.38</td><td>9.18</td><td>17.91</td><td>108.0</td><td>54</td><td>50</td><td>4</td></tr><tr><td>RH</td><td>12.38</td><td>1.56</td><td>6.76</td><td>20.26</td><td>142.0</td><td>71</td><td>46</td><td>25</td></tr><tr><td>SA</td><td>10.63</td><td>1.33</td><td>6.61</td><td>0.70</td><td>101.8 *</td><td>65</td><td>54</td><td>11</td></tr><tr><td>KA</td><td>26.65</td><td>2.97</td><td>0.12</td><td>0.45</td><td>110.0</td><td>55</td><td>30</td><td>20</td></tr></tbody></table>

Note: Cu: uniformity coefficient; Cc: curvature coefficient; OM: organic matter; ω₀: initial water content; L_L: liquidity limit; P_L: plasticity limit; P_I: plasticity index; * case study where ω₀ = 1.57 L_L.

<figure><img src="image_9.png" /><figcaption>**Figure 3.** Sediments classification based on their texture, adapted from USDA [29].</figcaption></figure>
Organic matter content was determined using the ignition temperature of 550 °C for dredged sediments or sludge, according to [30]. The CaCO₃ content was obtained from a calcimetry test. Atterberg limits were determined using Casagrande apparatus, and all results are summarized in Table 2.

## 3.2. Dewatering Characterization

### 3.2.1. Characterization of Changes in Water Content

Changes in water content were characterized by monitoring the remaining water content percentage ω₁, drained water percentage ω₂ and evaporated water percentage ω₃. The remaining water percentage ω₁ is the percentage of the initial weight of water added initially to all the samples. The drained water percentage ω₂ is the percentage of the water released from all the samples and gathered into the support, from the beginning of the dewatering process until the time of measurement. Likewise, the evaporated water percentage ω₃ is the water evaporated from all samples in the same conditions. So, the different water percentages give Equation (2).

$$ \omega_1 + \omega_2 + \omega_3 = 1 \qquad (2) $$

The evolution of ω₁ is directly dependent on water content as one can deduce from Equation (3). The sediment water content ω at any given day during the dewatering process is then characterized through a normalized expression.

$$ \omega/L_L = (w_w \omega_1/w_s)/L_L \qquad (3) $$

where ω/L_L is the water content to liquidity limit; w_w is the initial weight of water added to all samples and w_s is the corresponding dry weight. The change in drained water is plotted in Figure 4. Quick drainage of the IS, RA and RH sediments is observed compared to the others; see Figure 4a. In particular, these sediments have high drainage capacity where ω₂ has reached 32%, 28% and 46%, respectively, compared to 4% and 8.5% for the SA sediment and the kaolin (KA), respectively; see Figure 4b,c.

<figure><img src="image_10.png" /><figcaption>Figure 4. Cont.</figcaption></figure>
<figure><img src="image_11.png" /><figcaption>**Figure 4.** Cumulative percentage of drained water $ω_2$ measured in the support for all samples: (a) IS, RA and RH sediments, (b) SA sediment and (c) kaolin clay (KA).</figcaption></figure>

A maximum amount of drained water is reached (Figure 4a) for sediments with coarser soil texture, which is the case for the RA and RH sediments when compared to the IS sediment. Having the highest liquid limit—and therefore having the highest initial water content and consequently the highest void ratio—also explains the important quantity of drained water for the RH sediment. On the same figure, we observe, for the IS sediment, a finer soil texture than that of the RA sediment; the water drained was lesser for the RA sediment because of greater organic matter content; see Table 2. Sediment SA, with a significant amount of organic matter content (6.61%), contributed also to shortening the drainage time, and a low quantity of water (4%) was drained despite its coarse soil texture and minimum $CaCO_3$ content (Table 2). Once the plateau is observed on the graphs, the drainage phenomenon tends to stop. We also note that the drainage lasts from a few hours for sediments to several days for kaolin clay (between 2 and 3 days; see Figure 4c) for a low water volume of around 8% of the initial water content. This is due to the fine colloidal texture of the kaolin that contributes to water retention, even with low percentages of $CaCO_3$ and organic matter content. Drained water graphs fit well with an exponential function over time that corresponds to Equations (4)–(6); see Table 3.
<table><caption>**Table 3.** Possible relationships of drained water vs. time for all samples.</caption><thead><tr><th colspan="4">From Figure 4a ω₂ [%] = f(t)[hour], for RA and RH sediments<br>Equation (4): ω₂ = a(1 - b<sup>t</sup>), type: Exponential, BoxLucas 1 Mod</th></tr></thead><tbody><tr><th>Sediment</th><th>a</th><th>b</th><th>r<sup>2</sup></th></tr><tr><td>RA</td><td>27.61</td><td>0.11</td><td>0.99</td></tr><tr><td>RH</td><td>45.64</td><td>0.23</td><td>0.99</td></tr></tbody></table><table><thead><tr><th colspan="5">From Figure 4a,c, for IS sediment and for kaolin clay (KA)<br>Equation (5): ω₂ = a(1 - e<sup>-bt</sup>)<sup>c</sup>, type: Exponential, Chapman</th></tr></thead><tbody><tr><th>Sediment</th><th>a</th><th>b</th><th>c</th><th>r<sup>2</sup></th></tr><tr><td>IS</td><td>33.81</td><td>0.10</td><td>0.64</td><td>0.99</td></tr><tr><td>Kaolin clay</td><td>8.55</td><td>0.09</td><td>0.94</td><td>0.99</td></tr></tbody></table><table><thead><tr><th colspan="5">From Figure 4b, ω₂[%] = f(t)[hour], for SA sediment<br>Equation (6): ω₂ = a - bc<sup>t</sup>, type: Exponential, Asymptotic</th></tr></thead><tbody><tr><th>Sediment</th><th>a</th><th>b</th><th>c</th><th>r<sup>2</sup></th></tr><tr><td>SA</td><td>4.14</td><td>4.28</td><td>0.10</td><td>0.92</td></tr></tbody></table>

Figure 5 shows how the drained water $ω₂$ evolves versus the normalized water content $ω/L_L$. Drainage ends when the curve becomes constant. A similar trend is observed from the beginning of drainage till the end when the plateau appears. It is confirmed by all samples with normalized water content $ω/L_L = 2$. The level of the plateau depends on the factors previously mentioned and govern the drainage behavior. Since the dewatering of SA sediment began from normalized water content lesser than the other tested samples ($ω/L_L = 1.56$), it seems that the initial slope is not so different from the other samples as illustrated in Figure 5. It is evident that the drainage depends on the initial water content of the sample as well as its consistency. The evolution of $ω₂$ versus normalized water content $ω/(L_L)$ is well characterized by a sigmoidal-type function; see Equation (7) in Table 4.

<figure><img src="image_12.png" /><figcaption>**Figure 5.** Cumulative percentage of drained water $ω₂$ versus normalized water content to liquid limit for all samples.</figcaption></figure>
<table><caption>**Table 4.** Possible relationships of drained water vs. normalized water content for all samples.</caption><caption>From Figure 5, ω₂ = [%] = f(ω/L<sub>L</sub>)<br>Equation (7): ω₂ = A₂ + (A₁ - A₂)/(1 + ((ω/L<sub>L</sub>)/((ω/L<sub>L0.5</sub>)<sup>P</sup>))) type: Sigmoidal, Logistic</caption><thead><tr><th>Sediment</th><th>A₁</th><th>A₂</th><th>ω/L<sub>L0.5</sub></th><th>p</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS</td><td>32.65</td><td>-8.32</td><td>1.75</td><td>9.36</td><td>0.99</td></tr><tr><td>KA</td><td>8.55</td><td>-1.25</td><td>1.92</td><td>43.64</td><td>0.99</td></tr><tr><td>RA</td><td>27.52</td><td>-0.10</td><td>1.66</td><td>30.47</td><td>0.99</td></tr><tr><td>RH</td><td>46.17</td><td>-4.98</td><td>1.58</td><td>9.00</td><td>0.99</td></tr><tr><td>SA</td><td>4.08</td><td>0.00773</td><td>1.26</td><td>108.07</td><td>0.99</td></tr></tbody></table>

Figure 6 illustrates how the normalized water content evolves for all samples over time. When reaching a specific value in less than a week, indicated by pink diamonds, the normalized water content shows an approximately uniform rate of evolution. These specific values correspond to the end of drainage, which is observed in Figure 4. Hence, in addition to the remaining water—see Equation (3)—the normalized-water-content-to-liquid-limit ratio ω/L<sub>L</sub> depends also on the ω₂ percentage rather than the samples' physical states.

<figure><img src="image_13.png" /><figcaption>**Figure 6.** Water-content-to-liquid-limit ratio versus time for all samples.</figcaption></figure>

The normalized-water-content-to-liquid-limit ratio ω/L<sub>L</sub> seems to fit with a power type evolution with time for all the samples, as detailed in Equation (8); see Table 5.

<table><caption>**Table 5.** Possible relationships of water content to liquid limit vs. time for all samples.</caption><caption>From Figure 6, ω/L<sub>L</sub> = [%] = f(t)<br>Equation (8): ω/L<sub>L</sub> = a + bt<sup>c</sup>, type: Power, Allometric</caption><thead><tr><th>Sediment</th><th>a</th><th>b</th><th>c</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS</td><td>2.00</td><td>-0.70</td><td>0.28</td><td>0.99</td></tr><tr><td>RH</td><td>1.23</td><td>-0.07</td><td>0.69</td><td>0.90</td></tr><tr><td>KA</td><td>1.92</td><td>-0.05</td><td>0.73</td><td>0.99</td></tr><tr><td>RA</td><td>1.50</td><td>-0.04</td><td>0.87</td><td>0.99</td></tr><tr><td>SA</td><td>1.25</td><td>-0.09</td><td>0.66</td><td>0.99</td></tr></tbody></table>

Considering the evaporated water in Figure 7, a linear increase of ω₃ over time is observed fitted with Equation (9) in Table 6.
<figure><img src="image_14.png" /><figcaption>**Figure 7.** Percentage of evaporated water $\omega_3$ versus time for all samples.</figcaption></figure>

<table><caption>**Table 6.** Possible relationships of evaporated water vs. time for all samples.</caption><caption>From Figure 7, $\omega_3$ [%] = f(t)[day]<br>Equation (9): $\omega_3$ = at + b type: Linear, Linear</caption><thead><tr><th>Sediment</th><th>a</th><th>b</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS (inf part)</td><td>2.05</td><td>3.36</td><td>0.97</td></tr><tr><td>IS (sup part)</td><td>1.15</td><td>21.34</td><td>0.99</td></tr><tr><td>KA</td><td>0.89</td><td>0.10</td><td>0.99</td></tr><tr><td>RH</td><td>0.95</td><td>-0.27</td><td>0.99</td></tr><tr><td>RA</td><td>1.27</td><td>-0.09</td><td>0.99</td></tr><tr><td>SA</td><td>2.07</td><td>20.72</td><td>0.97</td></tr></tbody></table>

Beyond the end of drainage, if $\omega_3$ is plotted as a function of $\omega/L_L$, we also observe a linear variation. For the RH sediment, the linear increase starts when the sediment reaches the liquid limit; see Figure 8.

<figure><img src="image_15.png" /><figcaption>**Figure 8.** Percentage of evaporated water $\omega_3$ versus normalized water content for all samples.</figcaption></figure>

If we observe all the quantities of water, $\omega_1$, $\omega_2$ and $\omega_3$, during the dewatering process in Figure 9, it is confirmed that (1) the evaporated water increases linearly when drainage stops, and (2) the approximate slope change in water content in sediments is roughly noted. This is more perceptible for the sediments in Figure 9a–d than it is for kaolin, as illustrated in Figure 9e.
<figure><img src="image_16.png" /><figcaption>(a) IS sediment</figcaption></figure>

<figure><img src="image_17.png" /><figcaption>(b) RA sediment</figcaption></figure>

<figure><img src="image_18.png" /><figcaption>(c) RH sediment</figcaption></figure>

<figure><img src="image_19.png" /><figcaption>(d) SA sediment</figcaption></figure>

<figure><img src="image_20.png" /><figcaption>(e) KA kaolin clay</figcaption></figure>

<caption>**Figure 9.** Ratio of the content of water to liquid limit versus time.</caption>
### 3.2.2. Void Ratio Evolution

The void ratio $e$ is usually calculated from Equation (10):

$$e = \gamma_s / \gamma_d - 1 = \gamma_s / (gM_s / V_T) - 1 \quad (10)$$

where $\gamma_s = 26.5$ kN/m³; $g = 9.81$ m/s²; $\gamma_d$ is the dry unit weight; Ms is the mass of dry solid particles; and $V_T$ is the total volume. The dewatering phenomenon resulted in sediment shrinkage. Shrinkage characterization requires the determination of the void ratio by finding out the initial weight of the sample and its initial volume as given in Table 1. The variation in the diameter and height of the sample versus time is assessed as explained in Section 2.2.1; it allows one to determine the void ratio. Considering Figure 10, the RH sediment underwent significant shrinkage over 5 hours; its void ratio decreased from 3.7 to 2.5. This is explained by the high sand fraction of about 41.7% which enhances water drainage and then subsequent grain rearrangement. The same shrinkage behavior is also observed for the RA sediment, which contain 26.3% of sand fraction. The decrease in void ratio was from 2.7 to 2.1 over two days, as illustrated in Figure 10. Such an observation could be explained by the initial water content $\omega_0$, considering that the higher the water content, the higher the void ratio is. For the RH sediment, initial water content equals to 142%, which makes it 1.3 times that of the RA sediment's $\omega_0$. The IS sample, with the lowest organic matter, shows a slow decrease in void ratio versus time. Note its drainage needed more time than the other sediments as seen in Figure 4a. Sediment SA, with its $\omega_0 = 101.8\%$ and $\omega_0 = 1.57$ L/L, sustained little volume change within an hour; its void ratio varied from 2.5 to 2.3 before stabilizing.

<figure><img src="image_21.png" /><figcaption>**Figure 10.** Void ratio versus time during the first three days for all samples.</figcaption></figure>

Figure 10 shows the instantaneous rearrangement of particles of sandy soil highlighted with a rapid decrease in void ratios for sediments RA and RH. In turn, the colloidal behavior of the clayey materials in the IS sediment and kaolin clay (KA) resulted in a slow decrease. The variation in void ratio versus time illustrated in Figure 10 is correlated by a power-type evolution given by Equation (11) given in Table 7.
<table><caption>**Table 7.** Possible relationships of void ration vs. time for all samples.</caption><caption>From Figure 10, e = f(t)[day], for all sediments and kaolin clay<br>Equation (11): e = (a + bt<sup>c</sup>)<sup>-1</sup> type power, Harris</caption><thead><tr><th>Sediment</th><th>a</th><th>b</th><th>c</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS</td><td>0.39</td><td>0.02</td><td>0.88</td><td>0.97</td></tr><tr><td>KA</td><td>0.36</td><td>0.015</td><td>0.71</td><td>0.99</td></tr><tr><td>SA</td><td>0.46</td><td>0.03</td><td>0.95</td><td>0.97</td></tr><tr><td>RA</td><td>0.35</td><td>0.09</td><td>0.24</td><td>0.84</td></tr><tr><td>RH</td><td>0.24</td><td>0.13</td><td>0.19</td><td>0.79</td></tr></tbody></table>

Based on the variation in void ratio for all samples with comparable initial water content, it is concluded that soil texture mostly governs soil particle rearrangement during drainage.

### 3.3. Geotechnical Characterization

#### 3.3.1. Variation in Dry Unit Weight

Unit weight has an important role in sediment transportation as a parameter interfering with the bulk factor of soil and hence its volume. It also affects soil consolidation and, consequently, its undrained shear strength [31]. Touiti et al. [32] proposed for Tunis soft clay characterization a linear correlation (slope variation). All samples of Tunis soft clays were tested at liquid limit $L_L$ with varying clay content ranging from 20% to over 70%. As shown in Figure 11, a linear variation is more or less observed for a range of water content beyond the liquidity limit. Their evolution is perfectly characterized by a linear function; see Equation (12) given in Table 8. Fitting is based on data corresponding to Figure 11 with a minimal regression coefficient $r^2 = 0.83$. The clay content in the sediments could explain the difference of the coefficients (a) relative to the slope; see Table 8. The slope is more pronounced with Tunis soft clays [32]. It is observed that the RA, RH and SA sediments have a similar slope due to their comparable soil texture. The IS sediment, whose texture is much finer compared to other tested sediments, has a different evolution; see Figure 11 and Table 8.

<figure><img src="image_22.png" /><figcaption>**Figure 11.** Dry unit weight versus normalized water content for all sediment samples.</figcaption></figure>
<table><caption>**Table 8.** Possible relationships of dry unit weight vs. normalized water content for sediments.</caption><caption>From Figure 11, Y<sub>d</sub>/Y<sub>s</sub> = f(ω/L<sub>L</sub>)<br>Equation (12): Y<sub>d</sub>/Y<sub>s</sub> = a(ω/L<sub>L</sub>) + b type: Linear, Linear</caption><thead><tr><th>Sediment</th><th>a</th><th>b</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS</td><td>-0.13</td><td>0.59</td><td>0.97</td></tr><tr><td>SA</td><td>-0.08</td><td>0.43</td><td>0.96</td></tr><tr><td>RA</td><td>-0.07</td><td>0.40</td><td>0.83</td></tr><tr><td>RH</td><td>-0.09</td><td>0.37</td><td>0.83</td></tr></tbody></table>

### 3.3.2. Shear Strength Relationships

Figure 12 illustrates undrained shear strength evolution with water content leading to the conclusion that shear strength is developed after drainage ending. Maximum values of undrained shear strength for the IS, RA and SA sediments were in the same ranges as shown in Figures 13 and 14. For the SA sediment, the undrained shear strength Su reached 75 kPa in 18 days, followed by the RA sediment, whose shear strength developed faster but not sharper than the IS sediment during the first 22 days, reaching 70 kPa. The IS sediment reached higher values, reaching 130 kPa, whereas the RA sediment only reached 112 kPa at the end of the dewatering; see Figure 14.

<figure><img src="image_23.png" /><figcaption>**Figure 12.** Shear strength evolution versus water content for all samples.</figcaption></figure>

From Figure 12, it can be deduced that the RA sediment, with the highest organic matter content as given in Table 2, could develop high ranges of undrained shear strength for high water content when compared to all the other samples. Considering the initial water content of other sediments, the RA sediment dewatering began from a lower water content, $\omega = 108\%$. This fact also contributed to it developing high undrained shear strength in a shorter time. The RH and SA sediments have comparable organic matter content; however, the SA sediment developed higher undrained shear strength than RH sediment. Considering all the sediments, the IS sediment, which has a low organic matter content, was able to develop undrained shear strength at a low water content. This was also the case for the kaolin which had negligible organic matter content and was the least to develop undrained shear strength since it kept a significant amount of water content during the dewatering process.
<figure><img src="image_24.png" /><figcaption>Figure 13. Shear strength evolution versus time for all samples.</figcaption></figure>

<figure><img src="image_25.png" /><figcaption>Figure 14. Shear strength evolution versus normalized water content for all samples.</figcaption></figure>

Observing the shape of the curves of the IS and RA sediments in Figure 13, one can note that shear strength is developed at the same rate after the tenth day of dewatering. This observation is also valid for the rate of evolution of the normalized water content to liquid limit when considering Figure 14.

An exponential-type correlation can describe the undrained shear strength evolution with water content for all the samples tested with a minimal regression coefficient of r² = 0.87; see Equation (13) in Table 9.

<table><caption>Table 9. Possible relationships of Su vs. water content for all samples.</caption><caption>From Figure 12, Su [kPa] = f(ω)[%]<br>Equation (13): Su = abω, type: Exponential, Exp2p</caption><thead><tr><th>Sediment</th><th>IS</th><th>KA</th><th>RA</th><th>RH</th><th>SA</th></tr></thead><tbody><tr><td>a</td><td>492.03</td><td>8034.45</td><td>1886.19</td><td>4485.12</td><td>12,051.21</td></tr><tr><td>b</td><td>0.89</td><td>0.89</td><td>0.93</td><td>0.88</td><td>0.88</td></tr><tr><td>r2</td><td>0.87</td><td>0.99</td><td>0.94</td><td>0.98</td><td>0.92</td></tr></tbody></table>
Undrained shear strength evolution versus time was also fitted with an exponential. Equation (14) in Table 10 correctly describes the undrained shear strength evolution with a minimal regression coefficient of r² = 0.94.

<table><caption>**Table 10.** Possible relationships of Su vs. time for all samples.</caption><caption>From Figure 14, Su [kPa] = f(t)[day]<br>Equation (14): Su = at<sup>b</sup>, type: Power, Allometric1</caption><thead><tr><th>Sediment</th><th>a</th><th>b</th><th>r<sup>2</sup></th></tr></thead><tbody><tr><td>IS</td><td>0.00216</td><td>3.29537</td><td>0.94</td></tr><tr><td>RH</td><td>1.53 × 10<sup>-7</sup></td><td>5.71</td><td>0.99</td></tr><tr><td>KA</td><td>1.77 × 10<sup>-6</sup></td><td>4.14</td><td>0.99</td></tr><tr><td>RA</td><td>0.097</td><td>2.069</td><td>0.99</td></tr><tr><td>SA</td><td>0.019</td><td>2.89</td><td>0.94</td></tr></tbody></table>

Undrained shear strength increased faster during the dewatering when attaining the liquid limit for the IS, RA and SA sediments at days 3, 14 and 7, respectively; see Figure 13. Comparing Figures 14 and 15, it is demonstrated that attaining the liquidity limit allows the undrained shear strength to develop. However, maximum values of undrained shear strength are observed when water content nears the plastic limit value, as was the case for the RH sediment. For the latter, the undrained shear strength rose when attaining the plastic limit; see Figure 15.

<figure><img src="image_26.png" /><figcaption>**Figure 15.** Shear strength evolution versus water content to plastic limit ratio for all samples.</figcaption></figure>

Figures 14 and 15 lead to the conclusion that for sediments having a comparable plasticity index, the undrained shear strength develops a similar trend. This leads to the conclusion that particle bonds begin to develop at a water content equal to the liquidity limit, resulting in undrained shear strength. The undrained shear strength reaches its maximum at the plastic limit.

# 4. Conclusions

## 4.1. On the Dewatering Process of Sediments and a Kaolin Clay

In practice, sediment characterization helps to optimize the sediment's recovery process, transport, storage and end use. Sediment characterization plays an important role in sediment management. In practice, it helps to optimize the sediment's recovery process, transport, storage and end use. Sediment management requires a range of data, such as water content, dry unit weight, volume factor and volumetric deformation, which requires
shear strength to be quantified. The study of the evolution of the percentage of water drained, $\omega_2$, highlights the correlation of the function of the peak, which varies as a function of time or normalized water content. It was concluded that coarse soil texture and high initial water content contribute to the highest drainage peak, that high organic matter content shortens drainage time and that $CaCO_3$ inhibits the evaporation of already-drained water. The percentage of water evaporated showed a linear trend for all samples tested. While the percentage of water drained followed a sigmoidal trend, based on the normalized water content for all the samples tested Equation (7) in Table 4, a unique and linear correlation was found relating dry unit weight to solid particle weight as a function of water content, as the sediments tested have low clay content. This observation led to the fact that intergranular forces in clays are more dominant when the water content is below the liquid limit, and that below a certain clay content, intergranular forces have no effect on the structure of the material.

## 4.2. Influence of Sediment Texture

The variation in water content over time for the IS sediment is similar to that for the kaolin clay (KA). It is evident that soil texture and initial water content govern the response of the sediment to dewatering. Similarly, for the RA, RH and SA sediments of the same texture, the evolution of water content was comparable. However, it is worth mentioning that the electrostatic forces in the kaolin clay (KA) compared to the IS sediments helped to prevent the water evaporating and draining. This is demonstrated by the observation of faster evaporation of water in the IS sediment than in the kaolin clay (KA). This could be explained by the large quantities of water continuously reaching the surface of the IS sediment sample due to the phenomenon of suction (finest soil texture) and likely to evaporate. Reaching the liquid limit during dewatering led to the appearance of an inflection point in the evolution of remaining, drained and evaporated waters for all the sediments tested. The result was a decrease in evaporation and drainage rates. In fact, the higher the plasticity index of the sediment, the more perceptible the inflection point, as the variation in the rates of evolution of the different quantities of water began to reach the liquidity limit and continue up to the plasticity limit. Consequently, the inflection point was very distinct in the case of the RH sediment. In contrast to the Tunis soft clays, the evolution of the dry unit weight in relation to the solid particle weight was linear with no variation in slope. One explanation is the low clay content and hence the inability of the sediments to adsorb water. Indeed, before saturation, clay tends to gain water due to electrostatic forces, which is not the case for sediments due to their low clay content. Sediments of comparable texture have solid particles that behave in the same way with water content; consequently, correlations between dry unit weight and water content have been established. The texture of the IS sediment—being similar to that of kaolin clay—its high $CaCO_3$ content and low organic matter content enabled the development of the lowest void ratio and therefore the highest dry unit weight and the achievement of the highest shear strength values [33]. As confirmed by Chen et al. [34], $CaCO_3$ content greater than 5% makes it possible to develop shear strength for particles smaller than 100 µm.

## 4.3. Development of Undrained Shear Strength during Dewatering

The undrained shear strength values reached 70–130 kPa at the end of dewatering. Correlations between the exponential curves of Su and the normalized water content $\omega/L_L$ were found. Undrained shear strength depends on the consistency of the material rather than its water content. Sediments with the lowest water content and highest organic matter content exhibit faster shear strength. Clay texture contributes to undrained shear strength. Materials with a comparable plasticity index develop shear strength according to a similar trend.

Noting the undrained shear strength graphs obtained, it is evident that both the liquid limit and the plastic limit influenced the development and/or evolution of shear strength, which is indeed directly related to soil consistency. More importantly, the fact that the RH
sediment only developed shear strength when it reached the plastic limit and, given its high liquid limit, leads to the conclusion that water content also governs the development of shear strength, in addition to soil consistency. This is because the more water the sediment retains, the more voids there are, increasing the distance between particles. This prevents the development of cohesion in the sediment.

This study makes it possible to predict the mechanical properties of sediments during dewatering and their physical characteristics. Consequently, in practice on site, similar conditions need to be provided during sediment dewatering.

**Author Contributions:** Conceptualization, D.A. and B.B.A.; methodology, D.A. and B.B.A.; software, D.A.; validation, D.A. and D.L.; formal analysis, D.A.; investigation, D.L., D.A. and B.B.A.; writing—original draft preparation, D.A.; writing—review and editing, D.L., D.A. and B.B.A.; visualization, D.A. and B.B.A.; supervision, D.L.; project administration, D.L.; funding acquisition, no funding. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research received no external funding.

**Data Availability Statement:** All data results and relative information to this study are available, please contact the corresponding author.

**Conflicts of Interest:** The authors declare no conflict of interest.

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