# Experimental Investigation on Drying and Wetting of GMZ Bentonite Using X-Ray Tomography and Volumetric Digital Image Correlation Technique

Authors: Liufeng Chen; Kang Li; Diansen Yang
Journal: Advances in Civil Engineering
 (2020)

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## Abstract

To investigate the shrinking and swelling properties of Gao-Miao-Zi (GMZ) bentonite, which has been considered as engineering barriers for high-level radioactive nuclear waste disposal in China, drying and wetting tests were carried out. The microstructure of the material at each hydric state was recorded using X-ray tomography (X-CT). The 3D images of the material were analyzed using digital volume correlation (DVC) technique, and the full-field strains at mesoscale (i.e., in the order of clay aggregate) during drying and wetting were quantified. The results show that the GMZ bentonite exhibits notable swelling characteristics during wetting and the swelling strain of the material is up to 8% at mesoscale. The full-field strain in 3D of the material is heterogeneous, anisotropic, and irreversible during drying and wetting. The corresponding deformation mechanisms are discussed. Two different swelling mechanisms were also identified: traction occurs in the interface between the matrix and inclusions during swelling; pre-existing fissure closes during swelling.


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## Body

## 1. Introduction

Bentonite clay is often chosen as a buffer and backfill material between the waste canister and the host rock or as seals in excavated disposal galleries in geological disposal of high-level radioactive waste. It exhibits a few favorite characteristics, such as high swelling, strong sorption ability, and low hydraulic conductivity [1–4].A better understanding of how the barriers evolve with time is required to license a final repository for high-level radioactive waste. This understanding is based on scientific knowledge about the boundary conditions and processes acting on the barriers in the repository. The processes often include thermal, hydraulic, biochemical, and mechanical processes. For example, local groundwater will flow to the repository once the repository is closed, and bentonite will absorb water and swell. The swelling ability can reduce macroscopic porosity to limit microbial activity, reduce the hydraulic conductivity, prevent any further propagation of the excavation disturbed zone (EDZ) in the rock, and ensure that the buffer is self-sealing. Therefore, understand the swelling process is critical in the evaluation of the long-term performance of a bentonite buffer [3–8].The shrinking and swelling properties of clayey materials (e.g., argillite and bentonite) have been extensively investigated at various scales using different methods [9, 10]. Mercury intrusion porosimetry (MIP) is often used to quantify the pore size distribution of the material at different hydrated states [11, 12]. Scanning electron microscopy (SEM) and X-ray tomography (X-CT) are often used to study the microstructure of the material [13–17], and these studies are rather qualitative than quantitative [18]. In recent years, digital volume correlation (DVC) technique is used to obtain the full-field strain of the material and quantify the volume change of materials during hydro-mechanical tests [18–21]. These studies focus on localized deformation of materials during different loadings. However, there are few studies focusing the swelling and shrinkage of bentonite during wetting and drying cycles, combining X-CT and DVC techniques.In this paper, the swelling and shrinkage of the Gao-Miao-Zi (GMZ) bentonite, considered as a possible material for engineered barriers in Chinese geological disposal [1, 3, 4, 8], are studied. We present a new procedure to conduct drying and wetting tests combined with X-CT measurements. The shrinking and swelling properties of the GMZ bentonite at mesoscale are quantified and analyzed by digital volume correlation technique. The measured full-field strain of the GMZ bentonite in 3D allows to follow the evolution of damage. The deformation mechanisms of the material during wetting and drying are revealed by analyzing the microstructure changes.


## 2. Materials and Methods

### 2.1. Materials

The GMZ bentonite from the northern Chinese Inner Mongolia, an autonomous region 300 km northwest of Beijing, was used for the study. The GMZ bentonite is a sodium bentonite. The mineral composition and physical parameters of the GMZ bentonite is listed in Table1. It is composed of montmorillonite (75.4%), quartz (11.7%), feldspar (4.3%), and cristobalite (7.3%) [1]. It has a liquid limit of 276% and a plastic limit of 37%.Table 1
Characteristics of the GMZ bentonite (Liu et al., 2001).
PropertiesValueContents of montmorillonite (%)75.4Contents of quartz (%)11.7Contents of feldspar (%)4.3Contents of cristobalite (%)7.3Specific gravity2.66Liquid limit (%)276Plastic limit (%)37Specific surface area (m2/g)597


### 2.2. Sample Preparation

The GMZ bentonite was crushed into fine powders, and most of the particles had sizes smaller than 0.01 mm. The GMZ bentonite powder material was preconditioned in an environmental test chamber at 90% relative humidity and 20°C until a constant mass was reached. The GMZ specimen was prepared by compacting the treated powders in a rigid oedometer cell with an inner diameter of 50 mm. The dry density of the prepared specimen is 1.72 g/cm3, and the initial water content is 15.16%. The earlier studies [3, 8] show that the compacted GMZ bentonite has low permeability due to its small pore size.To obtain the shorter testing duration of the compacted GMZ bentonite and record high 3D imaging resolution, two smaller samples with a diameter of 4 mm and about a length of 8 mm were cored from the compacted GMZ specimen, as shown in Figure1. The axe of sample No. 1 is parallel to the compaction direction, and the axe of sample No. 2 is in the plane perpendicular to the compaction direction.Figure 1
Illustration of the prepared GMZ bentonite samples: (a) photo of the specimen, (b) sample No. 1, and (c) sample No. 2.
(a)(b)(c)To avoid being damaged and desaturated, samples No. 1 and No. 2 were placed in a plastic tube with a hole (Figure2(b)). The water vapour under different constant relative humidity conditions then enters the tube through the hole. The changed relative humidity will saturate or desaturate the sample during the drying and wetting tests.Figure 2
Photo of the micro-CT machine (a) and sample in the tube (b).
(a)(b)


### 2.3. Experimental Methods

When the sample reached the hydrated equilibrium state under which the sample weight remained constant, the hole was sealed with a rubber stopper, the sample in the tube was placed in the micro-CT machine (ZEISS Xradia 410 Versa) (Figure2), and the 3D microstructure at each hydrated state was obtained by recording X-ray radiographic images of the material at several different angular positions. When the scanning of the sample microstructure was completed, the sample was replaced in the container to perform another hydrated test (Figure 2(b)). Note that, during scanning, the state of the sample was considered stable as it was isolated from external environment and the temperature was kept at 25°C, and the measured weight of the sample was constant before and after X-CT measurement. In this study, the samples were first wetted under the relative humidity (RH) of 98%. The equilibrium state at RH = 98% is considered as the initial state. The drying and wetting tests were carried out by changing RH from 98% to 75%, 58%, 32%, 58%, 75%, and 98%, progressively. The relative humidity in the container was controlled using different supersaturated saline solutions, which are widely used by many researchers [6, 7, 11]. Note that almost all of the dehydration or hydration tests lasted three days to reach the hydrated equilibrium state.


### 2.4. Experimental Data Processing

The recorded virtual slices are reconstructed using iterative algorithm, and the reconstructions of the CT images have a voxel size of 5 × 5 × 5μm3, which is in the order of clay aggregates. To quantify the hydrated deformation of the GMZ bentonite, the CT images were analyzed using a digital volume correlation (DVC) software by Correlated Solutions. DVC is a quantitative image analysis technique for measuring internal deformation of a volume from image slices acquired via an X-ray or CT scanner. The principle of DVC is similar to that of two-dimensional and three-dimensional Digital Image Correlation (DIC), except the z dimension (through the material) is added allowing for full characterization of the material. The principle of the DIC method consists of tracking the grey-level distributions in subsets of images and pairing the homologous subsets between the reference image and the deformed images by optimizing a correlation coefficient that measures the similarity of the grey-level distribution in a small domain around these points [19, 22]. To achieve this measurement, the DVC algorithm tracks displacement information from small volumes called voxels, similar pixel subset tracking in 2D and 3D DIC analysis. Note that image matching is performed to locate subvolumes in a series of images with optimal accuracy, and the detailed algorithm is presented in [18, 21]. The voxel matching is performed through minimization or maximization of a metric function that quantifies the level of similarity in subvolumes between the reference and deformed volumetric images. The result is a 3D volumetric data set containing the selected strain tensor variables. The used software can determine the volumetric strains of the GMZ bentonite during drying and wetting. Note that the z-axis is set to be parallel to the height of the sample and the x-y plane to be perpendicular to the z-axis, as shown in Figure 2.


## 2.1. Materials

The GMZ bentonite from the northern Chinese Inner Mongolia, an autonomous region 300 km northwest of Beijing, was used for the study. The GMZ bentonite is a sodium bentonite. The mineral composition and physical parameters of the GMZ bentonite is listed in Table1. It is composed of montmorillonite (75.4%), quartz (11.7%), feldspar (4.3%), and cristobalite (7.3%) [1]. It has a liquid limit of 276% and a plastic limit of 37%.Table 1
Characteristics of the GMZ bentonite (Liu et al., 2001).
PropertiesValueContents of montmorillonite (%)75.4Contents of quartz (%)11.7Contents of feldspar (%)4.3Contents of cristobalite (%)7.3Specific gravity2.66Liquid limit (%)276Plastic limit (%)37Specific surface area (m2/g)597


## 2.2. Sample Preparation

The GMZ bentonite was crushed into fine powders, and most of the particles had sizes smaller than 0.01 mm. The GMZ bentonite powder material was preconditioned in an environmental test chamber at 90% relative humidity and 20°C until a constant mass was reached. The GMZ specimen was prepared by compacting the treated powders in a rigid oedometer cell with an inner diameter of 50 mm. The dry density of the prepared specimen is 1.72 g/cm3, and the initial water content is 15.16%. The earlier studies [3, 8] show that the compacted GMZ bentonite has low permeability due to its small pore size.To obtain the shorter testing duration of the compacted GMZ bentonite and record high 3D imaging resolution, two smaller samples with a diameter of 4 mm and about a length of 8 mm were cored from the compacted GMZ specimen, as shown in Figure1. The axe of sample No. 1 is parallel to the compaction direction, and the axe of sample No. 2 is in the plane perpendicular to the compaction direction.Figure 1
Illustration of the prepared GMZ bentonite samples: (a) photo of the specimen, (b) sample No. 1, and (c) sample No. 2.
(a)(b)(c)To avoid being damaged and desaturated, samples No. 1 and No. 2 were placed in a plastic tube with a hole (Figure2(b)). The water vapour under different constant relative humidity conditions then enters the tube through the hole. The changed relative humidity will saturate or desaturate the sample during the drying and wetting tests.Figure 2
Photo of the micro-CT machine (a) and sample in the tube (b).
(a)(b)


## 2.3. Experimental Methods

When the sample reached the hydrated equilibrium state under which the sample weight remained constant, the hole was sealed with a rubber stopper, the sample in the tube was placed in the micro-CT machine (ZEISS Xradia 410 Versa) (Figure2), and the 3D microstructure at each hydrated state was obtained by recording X-ray radiographic images of the material at several different angular positions. When the scanning of the sample microstructure was completed, the sample was replaced in the container to perform another hydrated test (Figure 2(b)). Note that, during scanning, the state of the sample was considered stable as it was isolated from external environment and the temperature was kept at 25°C, and the measured weight of the sample was constant before and after X-CT measurement. In this study, the samples were first wetted under the relative humidity (RH) of 98%. The equilibrium state at RH = 98% is considered as the initial state. The drying and wetting tests were carried out by changing RH from 98% to 75%, 58%, 32%, 58%, 75%, and 98%, progressively. The relative humidity in the container was controlled using different supersaturated saline solutions, which are widely used by many researchers [6, 7, 11]. Note that almost all of the dehydration or hydration tests lasted three days to reach the hydrated equilibrium state.


## 2.4. Experimental Data Processing

The recorded virtual slices are reconstructed using iterative algorithm, and the reconstructions of the CT images have a voxel size of 5 × 5 × 5μm3, which is in the order of clay aggregates. To quantify the hydrated deformation of the GMZ bentonite, the CT images were analyzed using a digital volume correlation (DVC) software by Correlated Solutions. DVC is a quantitative image analysis technique for measuring internal deformation of a volume from image slices acquired via an X-ray or CT scanner. The principle of DVC is similar to that of two-dimensional and three-dimensional Digital Image Correlation (DIC), except the z dimension (through the material) is added allowing for full characterization of the material. The principle of the DIC method consists of tracking the grey-level distributions in subsets of images and pairing the homologous subsets between the reference image and the deformed images by optimizing a correlation coefficient that measures the similarity of the grey-level distribution in a small domain around these points [19, 22]. To achieve this measurement, the DVC algorithm tracks displacement information from small volumes called voxels, similar pixel subset tracking in 2D and 3D DIC analysis. Note that image matching is performed to locate subvolumes in a series of images with optimal accuracy, and the detailed algorithm is presented in [18, 21]. The voxel matching is performed through minimization or maximization of a metric function that quantifies the level of similarity in subvolumes between the reference and deformed volumetric images. The result is a 3D volumetric data set containing the selected strain tensor variables. The used software can determine the volumetric strains of the GMZ bentonite during drying and wetting. Note that the z-axis is set to be parallel to the height of the sample and the x-y plane to be perpendicular to the z-axis, as shown in Figure 2.


## 3. Results and Discussion

The X-CT scanning of the material shows that the microstructure of the compacted GMZ bentonite is complex. It is composed of different minerals and several large grains imbed in the matrix containing fine particles, and several fissures are visible, as shown in Figure3. Several zones (e.g., existing fissures) in the recorded images have the same grey level, and they cannot be identified through DVC as the correlated position in the deformed images cannot be found. To accurately quantify the shrinking and swelling of the GMZ bentonite, DVC has been used to analyze different zones with the size of 210 × 210 × 300 voxels in the samples No. 1 and No. 2. The length of the correlating subset for DVC analysis in this study is 0.125 mm.Figure 3
Images of the compacted GMZ bentonite: (a) 3D volume image; (b) 2D section in theX-Y plane; (c) 2D section in the X-Z plane.
(a)(b)(c)


### 3.1. Evolution of Strains during Dehydration and Hydration

The global strains (i.e., presenting the length of 1.05 mm) of samples No. 1 and No. 2 are illustrated in Figures4(a) and 4(b), respectively. The results show that the strains of the GMZ bentonite samples increase as the relative humidity increases and the strains decrease as the relative humidity decreases. This indicates that the GMZ bentonite compacts during drying and swells during wetting. For the sample No. 1, the hydrated deformations in the plane perpendicular to the compaction direction (i.e., εxx and εyy) are very similar, and they are less than εzz (the deformation in the direction parallel to the compaction). The results show that εxx and εyy of the sample No. 1 are close to εyy and εzz of the sample No. 2. For example, when the relative humidity decreases from 98% to 32%, εzz reduces to −5.69%, εxx reduces to −4.9%, and εyy reduces to −5.0% for sample No. 1, and εxx reduces to −5.55%, εyy reduces to −4.70%, and εzz reduces to −4.79% for sample No. 2 (Figures 3(a) and 3(b)).Figure 4
Strain versus relative humidity curves during drying and wetting: (a) sample No. 1; (b) sample No. 2; (c) three zones of the sample No. 1 (“−” means contraction).
(a)(b)(c)The obtained strains (εxx, εyy, and εzz) are nonlinear and irreversible during drying and wetting, as shown in Figures 4(a) and 4(b). The nonlinear behaviour becomes more notable at higher relative humidity (e.g., RH = 98%). The mechanism of the nonlinear and irreversible behaviour is not the main topic of this paper, so it will not be discussed in detail. Several researchers have obtained similar results [13, 23, 24]. The strains induced during wetting, with RH increasing from 60% to 78%, appear to be much larger than those during drying, when RH decreases from 78% to 60%. This phenomenon is different from the irreversible shrinking found when one cycle of drying and wetting completes (Figure 4). In fact, during drying and wetting, the irreversible deformation is consistent with the water content curve that exhibits a hysteresis phenomenon [14]: the low water content results in small swelling of the material. Therefore, the large swelling should be related to the high water content obtained during this wetting step.Using DVC technique, not only the global strain of the material but also the local strain (i.e., presenting the length of 0.125 mm) can be quantified. In this study, the local strain represents an equivalent gauge length of 125μm, i.e., 25 voxels. Thus, the full-field strains of the GMZ bentonite during drying and wetting are obtained, and they can provide evidence of the effect of the microstructure on the shrinking and swelling of the material, as shown in Figure 5. The strain (i.e., εxx) distribution of the sample No. 1 during drying is heterogeneous, and it is similar at different hydric states. Localization of the strain is notable, and it should be related to the heterogeneous microstructure. The maximal compaction strain reaches up to 8% when relative humidity decreases from 98% to 32%. To further investigate the local strain, two sections of the sample No. 1 are chosen. The images of these two sections at the initial state and the measured full-field strains at different hydric states are illustrated in Figure 6. The hydric strain is mainly related to the clay minerals, while the grain is not sensible to water. The large strain in clayey matrix and small strain of the grains in Figure 6 confirm it. Moreover, localization of the strain is around the grains embed in the clay matrix, and the tensile strain around the grains indicates that tensile stress occurs at the interface between the grains and the matrix during drying. It is the cause of the appearance of new cracks around the grains.Figure 5
Strain (εxx) in sample No. 1 during dehydration: (a) from 98% to 75%; (b) from 98% to 58%; (c) from 98% to 32% (“+” means dilatation and “−” means contraction).
(a)(b)(c)Figure 6
Strains (εxx) in sections A-A and B-B during drying: (“+” means dilatation and “−” means contraction).
(a)(b)(c)(d)(e)(f)(g)(h)


### 3.2. Anisotropy and Heterogeneity of the GMZ Bentonite

The measured strains show that the compacted GMZ bentonite exhibits notable anisotropic shrinking-swelling properties; moreover, the shrinking-swelling deformation along the compaction direction is larger than that in the plane perpendicular to the compaction direction. The anisotropic properties could be related to several factors, e.g., the anisotropic structure or anisotropic swelling of clay minerals. As the specimen is compacted in a rigid oedometer, its fabric should be similar to sedimentary material, which has an anisotropic structure. At the same time, the strains in the plane perpendicular to the compaction direction are isotropic at the macroscopic scale. Although a few researchers confirm that the clay particle exhibits anisotropic fabric and induces anisotropic swelling [24], the observed anisotropic swelling properties (Figures 4(a) and 4(b)) should be related to the anisotropic microstructure of the compacted GMZ bentonite.In fact, the compacted GMZ bentonite is a heterogeneous material, and it contains a few grains, as shown in Figure3. Thus, several zones sized 210 × 210 × 300 voxels with different grain contents in the sample No.1 were chosen and analyzed; the obtained average strains (εxx) of the zones are illustrated in Figure 4(c). The results show that high content of grain degrades the swelling properties, confirming that the swelling properties are firmly related to clay minerals.


### 3.3. Evolution of Microstructure during Dehydration and Hydration

To clearly present the evolution of the microstructure of the compacted GMZ bentonite during drying and wetting, a representative section is chosen, and its microstructure is illustrated in Figure7. Two distinct phenomena are found: fissures around the interface between the large grain and the matrix close during drying and reopen during wetting; several new cracks generate and propagate during drying and reclose during wetting. They should be related to different mechanisms. As shown in Figure 6, the strains in the samples are heterogeneous. As indicated above, the contribution of the matrix and inclusions to the swelling properties during wetting is different as found by several researchers [24, 25]. The numerical study of Wang in 2014 [25] shows that the inclusion-matrix interaction results in tensile stress in the inclusion during wetting and compression stress during drying. The radial tensile stress during wetting may lead to interface separation or tangential microcracking in the matrix, whereas the tangential tensile stress during drying potentially results in radial microcracking in the matrix. These numerical results are consistent with the reopening of cracks around the inclusion “A” during wetting, as shown in Figure 7. For the pre-existing fissures in the matrix, the swelling of the matrix will lead to the closure of the fissures during drying. At the same time, due to the generated tangential tensile stress, several cracks are generated in the clay matrix. Therefore, the swelling mechanism of the GMZ bentonite is complex and strongly depends on the microstructure.Figure 7
CT images of the GMZ bentonite during drying (from Figures6(a) to 6(d)) and wetting (from Figures 6(d) to 6(g)): (a) RH = 98%, (b) RH = 75%, (c) RH = 58%, (d) RH = 32%, (e) RH = 58%, (f) RH = 75%, and (g) RH = 98%.
(a)(b)(c)(d)(e)(f)(g)


## 3.1. Evolution of Strains during Dehydration and Hydration

The global strains (i.e., presenting the length of 1.05 mm) of samples No. 1 and No. 2 are illustrated in Figures4(a) and 4(b), respectively. The results show that the strains of the GMZ bentonite samples increase as the relative humidity increases and the strains decrease as the relative humidity decreases. This indicates that the GMZ bentonite compacts during drying and swells during wetting. For the sample No. 1, the hydrated deformations in the plane perpendicular to the compaction direction (i.e., εxx and εyy) are very similar, and they are less than εzz (the deformation in the direction parallel to the compaction). The results show that εxx and εyy of the sample No. 1 are close to εyy and εzz of the sample No. 2. For example, when the relative humidity decreases from 98% to 32%, εzz reduces to −5.69%, εxx reduces to −4.9%, and εyy reduces to −5.0% for sample No. 1, and εxx reduces to −5.55%, εyy reduces to −4.70%, and εzz reduces to −4.79% for sample No. 2 (Figures 3(a) and 3(b)).Figure 4
Strain versus relative humidity curves during drying and wetting: (a) sample No. 1; (b) sample No. 2; (c) three zones of the sample No. 1 (“−” means contraction).
(a)(b)(c)The obtained strains (εxx, εyy, and εzz) are nonlinear and irreversible during drying and wetting, as shown in Figures 4(a) and 4(b). The nonlinear behaviour becomes more notable at higher relative humidity (e.g., RH = 98%). The mechanism of the nonlinear and irreversible behaviour is not the main topic of this paper, so it will not be discussed in detail. Several researchers have obtained similar results [13, 23, 24]. The strains induced during wetting, with RH increasing from 60% to 78%, appear to be much larger than those during drying, when RH decreases from 78% to 60%. This phenomenon is different from the irreversible shrinking found when one cycle of drying and wetting completes (Figure 4). In fact, during drying and wetting, the irreversible deformation is consistent with the water content curve that exhibits a hysteresis phenomenon [14]: the low water content results in small swelling of the material. Therefore, the large swelling should be related to the high water content obtained during this wetting step.Using DVC technique, not only the global strain of the material but also the local strain (i.e., presenting the length of 0.125 mm) can be quantified. In this study, the local strain represents an equivalent gauge length of 125μm, i.e., 25 voxels. Thus, the full-field strains of the GMZ bentonite during drying and wetting are obtained, and they can provide evidence of the effect of the microstructure on the shrinking and swelling of the material, as shown in Figure 5. The strain (i.e., εxx) distribution of the sample No. 1 during drying is heterogeneous, and it is similar at different hydric states. Localization of the strain is notable, and it should be related to the heterogeneous microstructure. The maximal compaction strain reaches up to 8% when relative humidity decreases from 98% to 32%. To further investigate the local strain, two sections of the sample No. 1 are chosen. The images of these two sections at the initial state and the measured full-field strains at different hydric states are illustrated in Figure 6. The hydric strain is mainly related to the clay minerals, while the grain is not sensible to water. The large strain in clayey matrix and small strain of the grains in Figure 6 confirm it. Moreover, localization of the strain is around the grains embed in the clay matrix, and the tensile strain around the grains indicates that tensile stress occurs at the interface between the grains and the matrix during drying. It is the cause of the appearance of new cracks around the grains.Figure 5
Strain (εxx) in sample No. 1 during dehydration: (a) from 98% to 75%; (b) from 98% to 58%; (c) from 98% to 32% (“+” means dilatation and “−” means contraction).
(a)(b)(c)Figure 6
Strains (εxx) in sections A-A and B-B during drying: (“+” means dilatation and “−” means contraction).
(a)(b)(c)(d)(e)(f)(g)(h)


## 3.2. Anisotropy and Heterogeneity of the GMZ Bentonite

The measured strains show that the compacted GMZ bentonite exhibits notable anisotropic shrinking-swelling properties; moreover, the shrinking-swelling deformation along the compaction direction is larger than that in the plane perpendicular to the compaction direction. The anisotropic properties could be related to several factors, e.g., the anisotropic structure or anisotropic swelling of clay minerals. As the specimen is compacted in a rigid oedometer, its fabric should be similar to sedimentary material, which has an anisotropic structure. At the same time, the strains in the plane perpendicular to the compaction direction are isotropic at the macroscopic scale. Although a few researchers confirm that the clay particle exhibits anisotropic fabric and induces anisotropic swelling [24], the observed anisotropic swelling properties (Figures 4(a) and 4(b)) should be related to the anisotropic microstructure of the compacted GMZ bentonite.In fact, the compacted GMZ bentonite is a heterogeneous material, and it contains a few grains, as shown in Figure3. Thus, several zones sized 210 × 210 × 300 voxels with different grain contents in the sample No.1 were chosen and analyzed; the obtained average strains (εxx) of the zones are illustrated in Figure 4(c). The results show that high content of grain degrades the swelling properties, confirming that the swelling properties are firmly related to clay minerals.


## 3.3. Evolution of Microstructure during Dehydration and Hydration

To clearly present the evolution of the microstructure of the compacted GMZ bentonite during drying and wetting, a representative section is chosen, and its microstructure is illustrated in Figure7. Two distinct phenomena are found: fissures around the interface between the large grain and the matrix close during drying and reopen during wetting; several new cracks generate and propagate during drying and reclose during wetting. They should be related to different mechanisms. As shown in Figure 6, the strains in the samples are heterogeneous. As indicated above, the contribution of the matrix and inclusions to the swelling properties during wetting is different as found by several researchers [24, 25]. The numerical study of Wang in 2014 [25] shows that the inclusion-matrix interaction results in tensile stress in the inclusion during wetting and compression stress during drying. The radial tensile stress during wetting may lead to interface separation or tangential microcracking in the matrix, whereas the tangential tensile stress during drying potentially results in radial microcracking in the matrix. These numerical results are consistent with the reopening of cracks around the inclusion “A” during wetting, as shown in Figure 7. For the pre-existing fissures in the matrix, the swelling of the matrix will lead to the closure of the fissures during drying. At the same time, due to the generated tangential tensile stress, several cracks are generated in the clay matrix. Therefore, the swelling mechanism of the GMZ bentonite is complex and strongly depends on the microstructure.Figure 7
CT images of the GMZ bentonite during drying (from Figures6(a) to 6(d)) and wetting (from Figures 6(d) to 6(g)): (a) RH = 98%, (b) RH = 75%, (c) RH = 58%, (d) RH = 32%, (e) RH = 58%, (f) RH = 75%, and (g) RH = 98%.
(a)(b)(c)(d)(e)(f)(g)


## 4. Conclusions

This paper presents an experimental study on the swelling of the compacted GMZ bentonite using a technique that combined X-CT measurement with digital volume correlation. The prepared GMZ samples were placed in a container with constant relative humidity to reach a hydric equilibrium state and then were scanned with X-CT. The microstructure of the GMZ samples at each state during a drying and wetting cycle was recorded and analyzed using DVC. The strains in the samples during wetting and drying were quantified. The results show that the GMZ bentonite compacts during drying and swells during wetting; the maximal deformation at the macroscopic scale (i.e., in the order of mm) is 5.69 % when RH decreases from 98% to 32%. The deformation exhibits notable anisotropic and irreversible properties during drying and wetting, and the anisotropic deformations are firmly related to the compaction direction during specimen preparation. The full-field strains in 3D of the materials are heterogeneous, and the local strain reaches up to 8% in the samples. The heterogeneous deformation is firmly related to the complex microstructure, and the incompatible strains of different minerals result in an internal stress and induce the appearance of cracks. The investigation of the CT images shows that there are two distinct swelling mechanisms related to the microstructure: traction occurs in the interface between the matrix and inclusions, and pre-existing fissures close during wetting. The evolution of the cracks in the GMZ bentonite could affect the performance of engineered barriers, and it should be taken into account in the design of the disposal of high-level radioactive waste.



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*Source: 6634246-2020-12-09.xml*