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Article

Simulating the Hydraulic and Volume Change Behavior of Compacted Highly Expansive Soil under Potential Field Stress and Seasonal Climatic Variation

by
Mohamed Farid Abbas
1,2
1
Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
2
Soil Mechanics and Geotechnical Engineering Research Institute, Housing and Building National Research Center (HBRC), Giza P.O. Box 1770, Egypt
Sustainability 2023, 15(14), 10797; https://doi.org/10.3390/su151410797
Submission received: 19 April 2023 / Revised: 30 May 2023 / Accepted: 25 June 2023 / Published: 10 July 2023

Abstract

:
A sustainable design of some engineering applications, such as earth dam cores, landfill liners, clay barriers, and radioactive waste disposal systems, that utilize compacted expansive soils requires simulation for probable field conditions. This study investigated the hydraulic and volume change (H-VC) behaviors of highly expansive compacted soils in Al-Qatif city under different seasonal climatic variations for a wide range of stress conditions, aiming for more economical and rational design and practices. The extent of the effect of the start cycle condition of the cyclic wetting and drying (W/D) process on the examined properties is examined, as well. Two testing series of the cyclic W/D process, representing the probable seasonal climatic variations, were executed for varied axial stress conditions. The H-VC behaviors of expansive soils are affected by the simulated seasonal variation (i.e., cyclic W/D process), with the first cycle of W/D being the most effective cycle and an elastic state being attained by the third to fourth cycle. Swell fatigue is noted for both testing series, and this is attributed to the initial placement condition. Analysis of results recommends exposure of the compacted expansive soil layers in the field to drying after compaction to reduce their equilibrium wetting potential. As a consequence of the noted shrinkage accumulation, a reduction tendency of saturated hydraulic conductivity (ksat) with repeated W/D cycles is reported for both series under all the stress states applied. Finally, it is recommended for clay barrier projects to be submerged once compacted to obtain barriers with the lowest values of hydraulic conductivity.

1. Introduction

Expansive soil, which is characterized by its tendency to undergo volume change (VC) when exposed to moisture variations, has naturally existed globally over wide areas and may be used as compacted material in different engineering applications. Hence, it may be exposed in the field to a wide range of applied stresses and seasonal climatic (i.e., variant wetting) conditions. The H-VC behaviors of such soils are considered the main variables for designing these applications. However, in practice, examining such behaviors of expansive soils is usually considered under limited applied states.
In the last five decades, intensive studies have examined the behavior of expansive soils under cyclic wetting and drying (W/D) conditions in order to simulate climatic changes and environmental conditions [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47]. Abbas et al. [47] presented a table that summarized the objectives and test conditions for previous research that investigated such behavior. The research interest in the cyclic W/D process applied to expansive soils lies in its implications for deformations, which may mainly distress the structures interacting with these layers. It can also alter their hydromechanical properties in a substantial manner compared to those estimated under common procedures that consider only the first wetting condition. Undesirable estimation of such behavior may result in high costs, either pre-paid cost (during construction) or post-paid cost (during maintenance), of the relevant structures.
The volume change potential (VCP) under cyclic W/D shows different behavior responses. Some studies, e.g., [5,6,9,44,45,48], have concluded that this cyclic process results in cumulative swell strains, while others have shown swell fatigue (i.e., accumulated shrinkage), e.g., [1,3,4,8,13,24,32,36,37,38,47,49,50], and was explained as the soil particles exhibited continuous rearrangement, leading to a less active microstructure. The results of [12,13,14,34,44] reported both swell and shrinkage accumulation at the end of this cyclic process. Most of those research studies reported a reduction in swell accumulation and an increase in shrinkage accumulation as the applied stress increased. However, the majority of these studies investigated the VC behavior under cyclic W/D while considering small applied stresses, e.g., [5,7,44,45]. In order to mimic the applied stress conditions in the field, some researchers [1,11,12,13,14,24,32,37] studied that behavior for diverse stress conditions. However, the stress range for all of these studies was lower than the swell pressure (σs), inferring a swell potential for tested soils in the first wetting stage. In some engineering applications such as deep repositories, expansive soils are subjected to higher stress conditions, and VCP under cyclic W/D should be examined. Abbas et al. [47] investigated the VCP under cyclic W/D for a wide range of applied stresses to simulate probable loading conditions in the field.
In general, the main factors that affect the VC behavior are the clay particle percentage, expansive mineral content, initial placement condition, soil structure, current stress state, and stress history. However, at the end of the cyclic W/D process, the behavior of swell or shrinkage accumulation is attributed to the drying degree applied [12,13,14,34,44] or to the applied stress level and stress history of the soil [1,14,20,24,47,51]. Furthermore, almost all studies, except [14], reported an equilibrium elastic state for tested soils after several cycles of W/D that range between the third to fifth cycles. The largest drop in swell potential is noted in the first cycle [1,4,5,14,32,47], and [21] stated that the first cycle acts as a cycle that effectively reorients the soil structure from the primary placement condition to an equilibrium condition. Nevertheless, most studies dealing with cyclic W/D followed a sequence starting with the wetting cycle, except for [10], which started the process with the drying stage, while the onset of the environmental condition in the field may vary. In addition, no research has examined the influence of the onset phase of the W/D process on the VC behavior of expansive soils despite its probable variation in engineering practice.
In geotechnical engineering practice, saturated hydraulic conductivity (ksat) is considered a key parameter for many projects. Generally, ksat was deemed to be a constant for most soils. However, this hypothesis is invalid for clayey soils and, in particular, expansive clays. Numerous studies (e.g., [52,53,54,55,56,57]) showed that ksat depends mainly on soil porosity, and several relationships were suggested to relate between the ksat and the void ratio (e) [53,54,56,57,58,59]. In regard to the influence of cyclic W/D on such behavior, few studies were executed despite their practical importance.
The majority of these few studies, e.g., [29,60,61,62], reported an increase in ksat with successive W/D cycles and imputed that to the developed cracks. Day [63] noted the same remark regarding the onset cycles; however, a reduction of the hydraulic conductivity is observed with further rewetting, which is ascribed to the expansive nature of clay promoting the completion of these desiccation cracks’ healing. Albrecht and Benson [62] demonstrated the effect of stress state on crack healing and hence on ksat upon successive W/D cycles.
Louati et al. [64] reported both an increase and a decrease in ksat with repeated W/D cycles and referred that as the initial placement of samples. Micro-cracks are created during the drying process for dense, compacted specimens, while drying results in a diminution of the pores in the case of loosely compacted clay. Day [65] referred to the contradiction between former observations to the type of prevailing clay mineral. Dafalla et al. [50], and Albrecht and Benson [62] reported a reduction of ksat with the application of surcharge, and [62] ascribed that to the increase in stress state, which helps in closing the cracks. Abbas et al. [47] reported a general reduction trend of ksat with successive W/D cycles for the wide range of applied stress examined and related this reduction to the noted accumulated shrinkage. In summary, ksat change upon consecutive W/D cycles depends on the prevailing clay mineral, placement condition (water content and dry density), and stress state applied.
From the preceding discussion on both H-VC behaviors under cyclic W/D, it is noticed that the impact of the starting cycle of W/D on such behaviors is not considered in previous studies, while it is the most effective cycle and is responsible for soil fabric reorientation towards the equilibrium state. The main focus of the current research is to simulate the probable seasonal climatic variation under a wide range of stress conditions that most probably prevail in the field to obtain economical design procedures. The influence of the W/D onset cycle on H-VC behaviors is examined as well.

2. Material Used

The expansive soil investigated in the current study was collected as disturbed samples from a depth of 4.0 m below the ground surface from an open test pit that is located in the Iskan district of Al-Qatif city. This city is located along the shoreline of the Arabian Gulf coastal region of Saudi Arabia; see Figure 1.
A laser scattering particle size distribution analyzer was employed to obtain the particle size distribution curve of the investigated soil up to a clay size of 0.01 μm (Figure 2). It can be observed from Figure 2 that the selected soil comprises 1.0% fine sand, 32.0% silt, and 67.0% clay. The soil characterization results of Al-Qatif soil are summarized in Table 1. The collected expansive soil was classified as greenish-gray, extremely fissured, highly overconsolidated clay. Al-Qatif soil is a typical expansive soil encountered in the Arabian Gulf coastal region. It is derived from marl, calcareous limestone, and chert of the Tertiary and Quarternary ages, through the actions of geological and weathering processes [66], including glacial activity and successive transgression and regression cycles of gulf seawater that occurred during the late Pleistocene and Holocene ages [67,68].
Former studies that were concerned with the mineralogical study of Al-Qatif’s expansive soil [66,69,70,71,72,73,74] identified a high presence of smectite mineral based on X-ray diffraction (XRD) analysis. Chemical analysis was carried out using a 2.4 KW PANalytical AXIOS machine to determine the type and percentage of the oxides present in the specimens. Table 2 shows the elemental oxide composition for the tested material. The high percentage of SiO2, Al2O3, MgO, Fe2O3, and CaO is indicative of the existence of smectite clay minerals, and therefore, the swell potential of the soil is most likely to be high. This is consistent with the findings from the XRD analysis.

3. Sample Preparation

For the sake of simulating engineered applications as well as minimizing heterogeneity in test results, compacted samples were used in the current experimental program. The collected samples were air-dried and pulverized to produce soil powder, which was mixed thoroughly with a target water content (wc) of 32.0% and placed in plastic bags. The bags were stored in a humid desiccator for at least two days to ensure a uniform distribution of moisture. Afterward, the soil was compacted statically in oedometer rings (20.0 mm in height, and 50.0 mm internal diameter) to the target dry unit weight (γd) of 11.67 kN/m3. The sample placement condition (i.e., wc, and γd) was selected as 4% dry-of-optimum moisture content as obtained from a standard compaction test [75].
In order to estimate the as-compacted suction stress state, several specimens were prepared at the placeemnt condition, and the average value of as-compacted suction, which was 3.40 MPa, was obtained using a chilled-mirror dew point meter device (WP4C).

4. Testing Procedures and Equipment

The current experimental program consists of two series based on the onset stage of the W/D process, namely cyclic wetting and drying (CWD), which is adopted from Abbas et al. [47] (CS series), and cyclic drying and wetting (CDW). These two series simulate the potential environmental and seasonal climatic conditions in the field, and each of these series has included numerous tests that vary according to the applied axial wetting stress (σaw). In order to mimic the possible stress conditions in the field, four σaw values were considered in the current study, 25, 100, 300, and 1000 kPa, to display the behavior of the tested material for a diverse of VC conditions. Figure 3 depicts schematics for the stress/wetting paths followed in the CWD and CDW series.
In order to evaluate the VCP under different stress conditions, oedometer testing (OED) was executed. Permeability testing was also adopted using the falling head technique, which was integrated into oedometer testing. After subjecting the tested specimen to the target stress condition according to Method B [76], it was subjected to five to six successive W/D cycles. In the case of CWD testing, the W/D process is initiated with the wetting stage, while in the case of CDW testing, the drying stage is started first. Generally, every stage was started after the former stage reached an equilibrium state with almost no variation in axial strain (εa) with time. The permeability stage was initiated after the wetting stage had ceased.
Two techniques for executing the W/D process were adopted in the literature: uncontrolled and controlled techniques. In uncontrolled techniques, the soaking and drying process were alternated, while the controlled cyclic wetting and drying process was achieved through adopting suction control. In the current experimental testing, the uncontrolled technique was adopted, where the wetting process was achieved through soaking, and drying was executed via air circulation during oedometer testing.
A fixed ring cell capable of implementing the falling head permeability test was utilized in this study to execute the oedometer testing. This facilitated the easy adoption of axial stress (σa) with accurate monitoring of axial deformation (Δha) and, hence, precise estimation of the void ratio (e). The oedometer cells were fitted with a linear variable differential transformer (LVDT) and connected to a datalogger. The permeability testing started with an approximate hydraulic head of 48 cm and stopped once four successive measurements of hydraulic conductivity led to the same value (±3%). A detailed description of the oedometer cell setup, with adjustments to execute permeability testing, in addition to the adoption of the W/D process is provided in [47].
The estimated average suction at the end of the drying cycles was measured using the WP4C device and found to range between 200 and 250 MPa.

5. Results and Discussions

This section presents the experimental program and depicts the effect of the starting stage of the W/D process and the applied stress condition on the H-VC behaviors of compacted highly expansive soil. The tabulated results of the executed testing program are provided in Table 3 (adopted from Abbas et al. [47]) and Table 4. It is aforementioned that positive values of εae present swell potential, while negative values indicate collapse potential.

5.1. Volume Change Behavior during First Wetting Stage

The VCP for the first wetting stage of both executed series, i.e., CWD and CDW series, is depicted in the form of variations of strain states (either swell or collapse) versus time (t), as shown in Figure 4a–d. Regarding CWD testing, three trends for (εaw-t) relations, namely swell, swell–collapse, and collapse, were observed depending on the applied σaw. Specifically, swell potential was observed for samples CWD_25 and CWD_100, as shown in Figure 4a,b, while collapse potential was observed for samples labeled CWD_1000. Sample CWD_300 exhibited swell behavior in the early portion of the test followed by collapse. Similarly, the same three trends of (εaw-t) relations were observed for the CDW series, but with different values of axial wetting strain (εaw) under the same σaw. Figure 4a,b show that both CDW_25 and CDW_100 exhibited a swell potential at the first wetting stage after the onset drying stage, however, with different values of εaw compared with those of CWD_25 and CWD_100, respectively. Figure 4c shows a swell–collapse behavior for CDW_300, similar to CWD_300; however, it exhibited a final swell potential in contrast to CWD_300, which exhibited final collapse. Figure 4d shows that specimen CDW_1000 exhibited a swell–collapse behavior, in contrast to CWD_1000, which exhibited collapse potential.
Several constitutive models have been proposed to describe the behavior of expansive soils. The Barcelona Expansive Model (BExM) is considered one of the pioneering and succeesful models to describe the elasto-plastic behavior of expansive soils. A conceptual basis for this model is described in [77], while the full mathematical formulation of the model is presented in [78]. The core of the BExM model is the yield curve that separates the elastic from the plastic behavior and is postulated to uniquely represent both wetting and stress-induced yield points. Gens and Alonso [77], and subsequently [4,78], proposed to represent the yield locus, for the case of oedometer tests (i.e., one-dimensional loading condition), either in the (σa − s) or (p − s) plane by the load–collapse (LC) curve. The plastic hardening associated with subjecting the expansive soil specimen to stresses (either loading or suction) greater than its past stress history resulted in an enlargement of the load–collapse (LC) curve.
The observed behavior in the preceding section can be interpreted using the yield curve concept (i.e., LC curve) developed within the Barcelona Expansive Model (BExM). A plot of the LC curve boundaries for the tested soil, which defines the swell zones is shown in Figure 3. The boundaries of LC were determined using the two yield points: at zero suction (σo*) and at pre-wetting suction (σo). The yield stress at zero suction (σo*) was obtained as the axial stress at the equilibrium state attained at the end of wetting under constant volume condition. However, the yield stress at pre-wetting suction (σo) was estimated based on Casagrande’s method, as obtained from the loading curve at pre-wetting suction. As mentioned formerly, the LC curve is assumed to characterize the wetting-induced yield points, i.e., the start of collapse behavior. However, this yield curve is related to the pre-wetting state of the tested specimen. For specimens tested in the CWD series, the pre-wetting state is its as-compacted state, while the pre-wetting state of the CDW series is its state at the end of the first drying stage. The boundaries of the load–collapse curve for the CWD series (LCo), i.e., at the as-compacted state, are determined in the stress range of 237–500 kPa.
Regarding wetting from the as-compacted state, LCo curve bounds the original swell zone, the dark shaded zone in Figure 3. Specimens labeled CWD_25 and CWD_100 (σaw < σo* = 237 kPa), which are wetted from their as-compacted state, experienced swell behavior, while those under application of stress exceeding the yield stress at as-compacted suction (σaw > σo = 500 kPa) underwent collapse behavior, such as the CWD_1000 test. A swell–collapse behavior was observed for wetting paths of samples under constant stress ranging between 237 and 500 kPa, such as the CWD_300 test.
With respect to the CDW specimens, the drying stage that initiated from the as-compacted state resulted in a denser structure of the tested specimens, as a result of the shrinkage during drying. Hence, it is expected to exhibit a higher value of the yield stress at the dry state, or in other words, an enlargement of the load–collapse curve to its dry load–collapse (LCd) curve as proposed in Figure 3. So, the initial drying resulted in an enlargement of the swell zone, as distinguished by the light shaded zone shown in Figure 3. The observed behavior of the CDW_25 and CDW_100 tests reinforces the enlargement of the swell zone, where these specimens exhibited more swell compared to those wetted from the as-compacted state, as shown in Figure 4a,b. Additionally, the CDW_300 test exhibited a swell–collapse behavior, but with higher swell compared to CWD_300. Finally, the test labeled CDW_1000 showed a swell–collapse behavior, as shown in Figure 4d, unlike the CWD_1000 test, which is evidence of the enlargement of the LC curve and the swell zone.

5.2. Impact of Cyclic Wetting and Drying on Volume Change Behavior

The VCP of samples subjected to the W/D process is presented in the form of a trend of variation in the equilibrium axial strain (εae) for consecutive W/D cycles, as shown in Figure 5a as a typical plot. This plot is considered a summary of the variation in εaw at the equilibrium state of the wetting or drying stage (Figure 5b). The εae is defined as the percentage of axial deformation (Δha) of the sample at equilibrium during either wetting or drying with respect to the original height (hi) of the sample prior to initial wetting or drying.
Figure 6a–d exhibit the trend of variation in the εae for consecutive W/D cycles for both the CWD and CDW series. An accumulated shrinkage strain is detected for all tested samples of both series, either experiencing swell, swell–collapse, or collapse potential during the first wetting stage. This agrees with the results of [1,4,8,13,24,32,36,37,38,47,49,50]. The observed accumulated shrinkage strain is related to the initial compacted state (lightly compacted) as suggested in [7]. Furthermore, both tested series achieved an elastic response (i.e., equilibrium condition) through the repeated W/D cycles.
To better clarify the observed results, two parameters are concluded from the variation trend of εae with successive W/D cycles: wetting potential (WP, %) and drying potential (DP, %), as shown in the second cycle of the typical (εae–cycle no.) plot (shaded zone in Figure 5a). These parameters represent the VCP attained at each stage of the repeated cycles. The plastic axial strain attained at the end of each cycle is represented by the difference between these two parameters, i.e., the net axial strain after each cycle (NP, %). As mentioned before, negative values of NP represent shrinkage accumulation.
Figure 7, Figure 8 and Figure 9 compare between the evolution of WP, DP, and NP, respectively, with successive W/D cycles for both the CWD and CDW series. Except for the first cycle, the WP of the CDW series is generally lower than that of CWD. Moreover, an elastic response (equilibrium condition) to the wetting process is attained starting in the fourth to fifth cycle for both series. The difference between the WP of both the CWD and CDW series at their equilibrium value increases as the σaw increases. These observations suggest a recommendation for the construction aspects of subjecting the compacted layers to a drying process to eliminate the wetting potential of compacted expansive soil, especially for applications with higher applied stress.
Figure 8a–d show that the DP of the CDW series is generally lower than that of CWD and reaches its equilibrium values starting from the fourth cycle. The plastic strains attained at the close of each cycle are represented in Figure 9a–d in terms of the NP evolution with W/D advance. Starting from the cycle of equilibrium (i.e., almost the fourth cycle), NP for both tested series shows an almost identical trend with small values of accumulated shrinkage.
The variation in swell potential with applied stress is an important trend and can be represented by the (WP-σaw) function. Figure 10a,b depict the progress of the (WP-σaw) trend with consecutive W/D cycles for both the CWD and CDW series, respectively. It is evident from Figure 10a,b that the (WP-σa) functions of both series show less response to applied stress with development of W/D cycles. A unique trend is attained for each series starting from the third cycle.
To better understand VC behavior, plots of trend of variation in the post-wetting void ratio (ew) versus σaw, marked for expansive soils, for sequential wetting cycles are presented for CWD and CDW in Figure 11a,b. The accumulated shrinkage of the void ratio with the W/D process is noted for both series. Moreover, the (ew-log σaw) relation is valid for all cycles exhibiting an equilibrium condition as the W/D process progresses.

5.3. Impact of Cyclic Wetting and Drying on Hydraulic Conductivity

Figure 12a–d show the variation in ksat with the successive W/D process for both the CWD and CDW series. A reduction in ksat with an advance in the W/D process is observed for both series under all the stress states applied. This is attributed to the shrinkage accumulation noted during repeated W/D cycles, which results in a reduction of the post-wetting void ratio (ew). This observation is contrary to previous studies (e.g., [29,60,61,62]) that reported an increase in ksat with successive W/D cycles. This contrast may be attributed to the partial recovery of drying cracks, which is reported in some of those studies, while in the current study, the high percentage of montmorillonite clay in the tested soil is responsible for the full healing of cracks developed during drying. For each applied stress state, comparable results of ksat for both series are noted, except for the first wetting cycle. Moreover, an equilibrium condition for ksat is attained from the third cycle for almost all tests.
Figure 13a,b show that the ksat is inversely correlated to the applied axial stress (σa), with an observed impact of the applied W/D process on the trends for both the CWD and CDW series. These inverse relationships (ksat-σa) are related to the reduction of ew associated with increasing σa as reported by many researchers. In this regard, ksat is plotted as a function of ew for both the CWD and CDW series, in Figure 14 and Figure 15, respectively. For both series, the relationship (ksat-ew) showed highly correlated individual trends for the first, second, and third to fifth cycles. Figure 16 compiles the data for both series to show the impact of the W/D order on hydraulic behavior. It is evident from Figure 16a that the ksat for the CDW series is higher than that of CWD for the first cycle of W/D. This can be attributed to probable minor cracks that may be developed during the first drying cycle that initiated the CDW testing. Comparable (ksat-ew) trends for both series are noted in Figure 16b for the second cycle. A unique strongly correlated trend for both series is depicted in Figure 16c for the results from the third to fifth cycles. This infers the role that repetitive wetting cycles play in crack healing and hence diminishes any effect of the onset stage of the W/D process. Accordingly, exposing compacted expansive soil layers in the field to repetitive W/D cycles resulted in acquiring a steady state for the ksat that is independent of its previous wetting history.

6. Conclusions

This study involved simulating the effects of probable field stress and seasonal climatic variations on the H-VC behaviors of Al-Qatif’s expansive soils. The impact of the starting stage of the W/D process on such behaviors was studied through implementing two series of cyclic W/D processes, CWD and CDW, for various axial stress states. Based on the current study results, it is inferred that:
  • The observed VCP during the first wetting stage of both tested series was interpreted using the yield curve concept (LC curve) developed within the BExM model, with evidence of its enlargement as the tested sample was subjected to stresses (i.e., suction) greater than its previous stress history.
  • The cyclic W/D process adopted, either CWD or CDW, has an impact on the H-VC behaviors of expansive soils, with the first cycle of wetting and drying being the most effective cycle for effectively reorienting the soil fabric towards an equilibrium state.
  • Swell fatigue, experienced as accumulated shrinkage, was reported for both testing series, and this behavior was attributed to the initial placement condition, specified as a loose compacted state.
  • An elastic response to the W/D process is achieved in the third to fourth cycle for both tested series in terms of H-VC behaviors.
  • The onset stage of the W/D affects the WP, where its values were generally lower for CDW than those of CWD. The difference between the values of both series at their equilibrium value increased as the σaw increased. A recommendation of subjecting the compacted layers to a drying process is suggested to eliminate the wetting potential of the compacted expansive soil.
  • A reduction trend of ksat with an advance in the W/D process is reported for both series under all the applied stress states, which is attributed to the accumulated shrinkage noted during repeated W/D cycles.
  • A unique (ksat-ew) correlation that combines both series’ results starting from the third cycle is observed, while the first cycle showed higher values of ksat for the W/D process started with drying. Consequently, it is recommended to submerge the compacted clay barrier after its construction to obtain a barrier with the lowest values of hydraulic conductivity.

Funding

This research was funded by the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia, grant number [IF2/PSAU/2022/01/23040].

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

All data generated or used during the study appear in the submitted article.

Acknowledgments

The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IF2/PSAU/2022/01/23040). The author is grateful to Eng. Abdullah Bugshan Research Chair in Expansive Soils and Geotechnical Laboratory, Civil Engineering Department, King Saud University for supporting the research through providing access to their facilities.

Conflicts of Interest

The author declares no conflict of interest.

Nomenclature

γd Dry unit weight
wc Water content
σa Applied axial stress
σo Yield stress at pre-wetting suction
σo* Yield stress at saturation
H-VC Hydraulic and volume change
LC Load-collapse curve
σaw Axial wetting stress
εaw Axial wetting strain
εae Equilibrium axial strain
W/D Wetting and drying
CWD Cyclic wetting and drying
CDW Cyclic dying and wetting
WP Wetting potential
DP Drying potential
NP net axial strain
VCP Volume change potential
ew Post-wetting void ratio
ksat Saturated hydraulic conductivity

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Figure 1. Location map of Al-Qatif city.
Figure 1. Location map of Al-Qatif city.
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Figure 2. Particle size distribution of Al-Qatif soil.
Figure 2. Particle size distribution of Al-Qatif soil.
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Figure 3. Executed stress paths and proposed load–collapse curves at as-compacted and dry states.
Figure 3. Executed stress paths and proposed load–collapse curves at as-compacted and dry states.
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Figure 4.aw-t) during the first wetting stage of CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 4.aw-t) during the first wetting stage of CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 5. Typical trend of variation in (a) εae—cycle no. and (b) εae—time for W/D cycles.
Figure 5. Typical trend of variation in (a) εae—cycle no. and (b) εae—time for W/D cycles.
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Figure 6. Evolution of VCP with W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 6. Evolution of VCP with W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 7. Variations in WP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 7. Variations in WP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 8. Variations in DP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 8. Variations in DP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 9. Variations in NP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 9. Variations in NP with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 10. (WP−σa) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
Figure 10. (WP−σa) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
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Figure 11. (ewa) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
Figure 11. (ewa) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
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Figure 12. Variations of ksat with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
Figure 12. Variations of ksat with consecutive W/D cycles for CWD and CDW series for σaw: (a) 25 kPa, (b) 100 kPa, (c) 300 kPa, and (d) 1000 kPa.
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Figure 13. (ksata) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
Figure 13. (ksata) relations for consecutive W/D cycles of (a) CWD and (b) CDW series.
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Figure 14. (ksat-ew) functions for CWD series.
Figure 14. (ksat-ew) functions for CWD series.
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Figure 15. (ksat-ew) functions for CDW series.
Figure 15. (ksat-ew) functions for CDW series.
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Figure 16. Comparison between (ksat-ew) functions of CWD and CDW series for: (a) 1st cycle, (b) 2nd cycle, and (c) 3rd–4th cycles.
Figure 16. Comparison between (ksat-ew) functions of CWD and CDW series for: (a) 1st cycle, (b) 2nd cycle, and (c) 3rd–4th cycles.
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Table 1. Characterization of Al-Qatif Clay.
Table 1. Characterization of Al-Qatif Clay.
CharacteristicValue
Specific gravity, GS2.72
Liquid limit, wl (%)137
Plastic limit, wp (%)45
Shrinkage limit, ws (%)20
Plasticity index, PI (%)92
Unified soil classification systemCH a
Optimum moisture content, wopt. (%)36
Maximum dry unit weight, γdmax (kN/m3)11.82
a CH refers to clay with high plasticity.
Table 2. Chemical analysis of Al-Qatif soil.
Table 2. Chemical analysis of Al-Qatif soil.
CompoundConcentration
SiO249.77
Al2O314.50
MgO6.95
Fe2O36.36
K2O4.01
CaO3.99
TiO20.68
So30.51
F0.42
Na2O0.35
P2O50.22
Cl0.18
LOI11.83
Table 3. Test conditions and results of CWD series.
Table 3. Test conditions and results of CWD series.
Sample IDWetting StressEquilibrium Axial Strain, eae (%)Sat. Hydr. Conduct., ksat (×10−7 cm/s.)
saw (kN/m2)1st Cycle2nd Cycle3rd Cycle4th Cycle5th Cycle6th Cycle1st Cycle2nd Cycle3rd Cycle4th Cycle5th Cycle6th Cycle
WDWDWDWDWDWD
CWD_252515.5−1.913.2−1.411.0−2.78.7−3.58.3−5.47.5−6.25.45.04.24.63.42.8
CWD_1001008.0−6.03.7−8.81.13−10−0.5−12−1.7−13−2.7−132.21.91.61.31.20.9
CWD_300300−0.2−15−7.2−19−9.6−20−11−22−12−22−13−230.60.50.40.40.40.4
CWD_10001000−8.4−25−17−27−19−29−20−30−21−31−22−310.20.10.20.10.10.1
Table 4. Test conditions and results of CDW series.
Table 4. Test conditions and results of CDW series.
Sample IDWetting StressEquilibrium Axial Strain, εae (%)Sat. Hydr. Conduct., ksat (×10−7 cm/s.)
σaw (kN/m2)1st Cycle2nd Cycle3rd Cycle4th Cycle5th Cycle6th Cycle1st Cycle2nd Cycle3rd Cycle4th Cycle5th Cycle6th Cycle
WDWDWDWDWDWD
CDW_2525−3.018.72.916.42.614.32.213.11.712.3 10.16.05.25.24.6
CDW_100100−6.54.2−10.3−0.4−12.5−3.0−14.4−4.7−16.3−5.9 2.31.01.00.90.9
CDW_300300−5.7−1.6−11.1−6.3−14.8−8.4−17.0−9.8−18.8−10.8−19.8−11.60.90.40.40.40.30.3
CDW_10001000−10.8−11.0−20.6−17.6−21.2−18.0−21.5−18.8−21.6−19.5−21.7−20.00.30.20.20.20.10.1
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Abbas, M.F. Simulating the Hydraulic and Volume Change Behavior of Compacted Highly Expansive Soil under Potential Field Stress and Seasonal Climatic Variation. Sustainability 2023, 15, 10797. https://doi.org/10.3390/su151410797

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Abbas MF. Simulating the Hydraulic and Volume Change Behavior of Compacted Highly Expansive Soil under Potential Field Stress and Seasonal Climatic Variation. Sustainability. 2023; 15(14):10797. https://doi.org/10.3390/su151410797

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Abbas, Mohamed Farid. 2023. "Simulating the Hydraulic and Volume Change Behavior of Compacted Highly Expansive Soil under Potential Field Stress and Seasonal Climatic Variation" Sustainability 15, no. 14: 10797. https://doi.org/10.3390/su151410797

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