Water-saturated bentonite is planned to be used in many countries as an important barrier component in high-level nuclear waste (HLW) repositories. Knowledge about the microstructure of the bentonite and the distribution of water between interlayer (IL) and non-interlayer (non-IL) pores is important for modelling of long-term processes. In this work the microstructure of water-saturated samples prepared from MX-80 bentonite was studied with nuclear magnetic resonance (NMR) and small-angle X-ray scattering spectroscopy (SAXS) coupled with chloride exclusion modelling. The sample dry densities ranged between 0.7 and 1.6 g/cm3. The NMR technique was used to get information about the relative amounts of different water types. Water in smaller volume domains has a shorter relaxation time than that in larger domains due to the average closer proximity of the water to the paramagnetic Fe at the layer surfaces. The results were obtained using 1H NMR T1ρ relaxation time measurements with the short inter-pulse CPMG method. The interpretation of the NMR results was made by fitting a sum of discrete exponentials to the observed decay curves. The SAXS measurement on bentonite samples was used to get information about the size distribution of the IL distance of montmorillonite. The chloride porosity measurements and Donnan exclusion calculations were used together with the SAXS results to evaluate the bentonite microstructure. In the model, the montmorillonite layers were organized in stacks having IL water between the layers and non-IL water between the stacks. In the modelling, the number of layers in the stacks was used as fitting parameters which determined the IL and non-IL surface areas. The fitting parameters were adjusted so that the modelled chloride concentration was equal to the measured one. The NMR studies and SAXS studies coupled with the Cl porosity measurements provided very similar pictures of how the porewater is divided in two phases in bentonite.
Many of the performance targets of the KBS-3 concept are coupled to processes that occur in water-saturated bentonite. Examples of such processes are the swelling of bentonite, dissolution and precipitation phenomena and transport of water, colloids and ions through the clay. These processes are strongly coupled to how the water is distributed between different pores in the bentonite microstructure. The material used in this study was MX-80 sodium bentonite from Wyoming, USA. The major component of the bentonite is montmorillonite, which confers its swelling properties and essential microstructural features. Details about the MX-80 bentonite composition are found in Karnland et al. (2006).
The central structural unit of the montmorillonite is the negatively charged tetrahedral-octahedral-tetrahedral layer constructed of silica, aluminium and oxygen atoms. Details concerning the structure of the layer are presented elsewhere (e.g. van Olphen, 1977) and will not be repeated here. The diameter of the montmorillonite unit layer has been estimated to be 50–200 nm (Tournassat & Appelo, 2011, and references therein). The thickness of the montmorillonite unit layer varies between 0.92 and 1.01 nm (Holmboe et al., 2012) and the montmorillonite surface area is 749 m2/g (Montavon et al., 2009; Tournassat & Appelo, 2011). In bentonite, the surface area is less and can be evaluated on the basis of the montmorillonite content.
The literature contains an abundance of models that describe the microstructure of water-saturated bentonite and montmorillonite. The models differ in detail, but have a few features in common, like the montmorillonite unit layer, stacks, interlayer (IL) and non-interlayer (non-IL) pores/porewater. Recent results by Kaufhold et al. (2010) suggest that the ratio of non-IL water to IL water is coupled to the microstructure (porosity) of the bentonite. A brief overview of existing structure models is achieved by consulting Cebula et al. (1979), Pusch et al. (1990), Pusch (1999), Bradbury & Bayens (2003), Wersin (2003), Suzuki et al. (2004), Muurinen et al. (2007) and Tournassat & Appelo (2011). In contrast to the dual porosity suggested above, some microstructural models divide the non-IL water further into inter-particle and inter-aggregate pores. A wholly different opinion is presented by Birgersson & Karnland (2009) who claim that all water would be homogeneously distributed as interlayer water.
The objective of the present study was to determine the distribution of water in water-saturated Wyoming MX-80 bentonite by using NMR, SAXS and Cl exclusion techniques. The amounts of IL and non-IL water presented in this report are coupled to the bentonite type and the experimental conditions, i.e. to the bentonite dry density and to the type and concentration of dissolved electrolyte in the porewater, etc. Thus, changing the porewater chemistry, other things being equal, might result in IL and non-IL water contents that differ considerably from the results of this study. NMR has previously been used successfully to determine the distribution of pore water in water-saturated bentonite and montmorillonite by, e.g. Montavon et al. (2009) and Ohkubo et al. (2008). The study by Montavon et al. was made on water-saturated compacted clay samples (illite, montmorillonite and MX-80 bentonite) by low-field proton NMR. By considering the differences in observed proton mobilities, it was possible to distinguish between three different populations – structural OH, external surface water, and internal surface water. The problem of rapid exchange between external surface water and bulk water in water-saturated clay was solved by freezing samples to -25°C. At this temperature, the bulk water was frozen, and therefore distinguishable from the surface water, which was in a semi-liquid state. The number of unfrozen water layers was about three, which is about the same as usually found in the literature. Ohkubo et al. (2008) used 1H NMR T1 relaxation in a study of water in water-saturated compacted bentonites – Kunipia-F (a purified bentonite with a montmorillonite content >98 wt.%) and Kunigel-V1 (crude material with a montmorillonite content of 59.3 wt.%). The T1 relaxation decay signals in the NMR measurements were considered to contain contributions from several relaxation processes in the sample, and mathematical analyses of the exponential decays indicated the presence of several relaxation mechanisms. Based on this, Ohkubo et al. were, among other things, able to estimate the ratio of bulk-like water to total water. The term ‘bulk-like water’ corresponds to what is here referred to as ‘non-IL water’, i.e. the results by Ohkubo et al. show the usefulness of NMR as a tool for determining the relative amounts of IL and non-IL water in materials such as water-saturated bentonite.
XRD and SAXS are well established techniques for studying the changes in the interlayer distances in bentonite and montmorillonite. XRD and SAXS measurements do not always give a 001 peak that can be interpreted in terms of a single IL distance. Samples containing mixed-layer structures have their total IL space made up of sub-spaces, each one being characterized by a discrete number (0, 1, 2,...) of IL water layers. Peak profile modelling can in this case be used to estimate the respective contributions of various mixed-layer structures to the observed peaks. Peak profile modelling has been successfully applied to dilute montmorillonite solutions or suspensions (Ferrage et. al., 2005; Tertre et al., 2011a,b) and in compacted MX-80 bentonite (Holmboe et al., 2012). The latter reference claims that the basal spacing obtained from Bragg’s law may differ by as much as 1 Å from the basal spacing concluded from XRD profile fitting. However, fig. 12 in Holmboe et al. offers an alternative interpretation as well; irrespective of whether Bragg’s law or profile modelling is used, the same result is obtained, with an uncertainty of ±1 Å.
Morvan et al. (1994) used ultrasmall- and small-angle X-ray scattering for studies of the microstructure of sodium montmorillonite suspensions in deionized water. The observed interlayer distances were smaller than the ideal ones, indicating that the montmorillonite sheets cannot be uniformly dispersed in the whole sample. For example, the ideal and complete swelling for a 20% (w/w) sodium montmorillonite suspension would be 105 Å. Experimentally the peak was observed at 56 Å, which means that half of the water did not participate in the swelling process and was present in excess domains. SAXS measurements by Segad et al. (2010) indicate that the simple picture of clay consisting of well organized platelets in a perfect lamellar structure is incomplete. This conclusion was based on measurements of Ca montmorillonite having a clay/water ratio corresponding to an average interlayer water thickness of 100 Å. However, the thickness measured by SAXS was only ∼10 Å. The discrepancy could be explained by the formation of stacks containing a small number of montmorillonite unit layers. The number of the platelets was evaluated from the scattering peak width to be 10–20 which means that the separation between the stacks was 500–1000 Å. The conclusion by Segad et al. (2010) was that the swelling in the Ca montmorillonite took place between the stacks and not between single unit layers.
Warr & Berger (2007) used XRD to study the hydration behaviour of compacted Na-activated IBECO-SEAL-80 and Ca-activated TIXOTON-TE in a disc-shaped flow-through cell. The density of the IBECO-seal samples was about 1.15 g/cm3 and that of TIXOTON-TE samples 0.94 g/cm3. Seawater and groundwater of low ionic strength were used for saturation of the samples. The amount of the IL water was calculated from the XRD patterns using the CALCMIX software. Subtraction of the IL water from the measured total water yielded the volume of the non-IL water. Roughly equal quantities of IL and non-IL water entered the Na-bentonite, whereas in the Ca-bentonite the non-IL and IL water contents were 77% and 23%, respectively.
Holmboe (2011) and Holmboe et al. (2012) used XRD in reflection mode to study the average basal distances of Wyoming bentonite MX-80 and the corresponding homo-ionic Na- and Ca-montmorillonites as a function of water content. For compacted samples representative of the bentonite barrier in a deep geological repository, the interlayer distances obtained were compared against the corresponding theoretical maximum interlayer distances in order to calculate the free porosity. At a dry density of >1.4 g/cm3 the average free porosity was calculated by Holmboe et al. to be <3% for MX-80 and the corresponding homoionic Na-montmorillonite, which is significantly lower than that found in the literature.
The accessible porosity for anions in bentonite is smaller than the total porosity due to anion repulsion (exclusion) by the surface of montmorillonite. The accessible porosity is a function of the bentonite density and the salt concentration. Anion exclusion is well known in soil science and the Gouy-Chapman theory for the diffuse double layer has been applied to model anion exclusion in clay suspensions, for example in Bolt & Warkentin (1958), Edwards & Quirk (1962) and Bolt & De Haan (1982). Sposito (1982) improved the Gouy-Chapman model by adding the distance of minimal approach due to the ion size. Birgersson & Karnland (2009) used the Donnan equation to calculate the exclusion in compacted bentonite in contact with an external NaCl solution assuming a uniform porosity in the bentonite. In Muurinen et al. (2007) and Muurinen (2009) the Donnan model was used for the experiments with compacted bentonite assuming two different pore types in bentonite. The anion exclusion has also been observed in many diffusion experiments performed in compacted bentonite (Eriksen & Jacobsson, 1984; Muurinen, 1994; Kozaki et al., 2001; Moleira et al., 2003; and Van Loon et al., 2007). In Tournassat & Appelo (2011), anion exclusion data were gathered from the literature, reprocessed and modelled using different models. It was concluded that a heterogeneous pore distribution model reproduces the data better than a homogeneous one over a wide range of conditions. The number of layers in the stacks is a variable that remains to be related to sample preparation and experimental conditions.
Thus, the volume of the IL water is clearly coupled to the stacking number. This is schematically demonstrated in Fig. 1. The first case (Fig. 1A) shows an ideal situation where all unit layers are equally distributed in a single water phase and separated by a maximum (theoretical) interlayer distance, tmax. Figure 1B and C shows samples with the same number of layers and water as in A, containing randomly distributed stacks consisting of six or four unit layers, respectively. The layers are separated by an interlayer distance tav < tmax. Cases B and C are associated with the same surface area and the same interlayer distance, but their corresponding volumes of IL and non-IL water differ as a result of their different stacking numbers.
This equation was used also by Holmboe et al. (2012) in their calculations. The conclusion from this deserves to be explicitly expressed; the application of equation 5 to water-saturated swelling clay containing individual stacks overestimates VIL at the same time as it underestimates Vnon-IL.
Equations 3 and 5 indicate that the relative proportions of IL and non-IL water in bentonite or a pure swelling clay cannot be evaluated by only determining the interlayer distances tav and tmax. It is necessary to evaluate either SIL and Snon-IL or VIL and Vnon-IL, too. In the present paper SIL and Snon-IL were evaluated from exclusion calculations and VIL and Vnon-IL from NMR measurements.
In the preparation of the samples, weighed amounts of MX-80 and Milli-Q water were mixed in proportions that corresponded to water-saturated MX-80 samples with target dry densities in the range 0.7–1.6 g/cm3. Each MX-80/water mixture was subsequently placed in a squeezing cell with an inner diameter of 20 mm and compacted. The squeezing cell was equipped with tubing that allowed air removal during compaction. Details concerning the squeezing cell are found in Muurinen & Carlsson (2010). After compaction, each sample was removed from the squeezing cell and transferred to a sample holder that formed the central part of a so-called equilibrium cell (Fig. 2). The sample holder consisted of a stainless steel plate with a hole that fitted the dimensions of the compacted sample.
The contact between the clay and the external solution took place via filter plates (from Applied Porous Technologies, Inc., Sweden). The filter plates (sinters) consisted of stainless steel discs with a diameter of 24.0 mm, a thickness of 1.24 mm and a pore diameter of 2 μm. The target dry densities of the samples were 0.7, 1.0, 1.3 and 1.6 g/cm3. The samples in the equilibrium cells were 9.5 mm in length and 20 mm in diameter. Somewhat different experimental arrangements and times were used in the NMR and SAXS experiments (see below). The compacted MX-80 bentonite samples were equilibrated with 0.1 m NaCl solution. The samples for NMR experiment were equilibrated for 7 to 33 days. The bentonites for the SAXS experiment were equilibrated for 12.5 months from only one end, i.e. the equilibration took place in cells having only one compartment with equilibrium solution. All the experiments were performed under aerobic conditions. Further details are found in Muurinen & Carlsson (2013).
Each equilibration cell was opened after a certain time (see below) and a sub-sample was put into a glass tube, which was sealed with Teflon stoppers and used in subsequent NMR measurement. The diameter and length of the sub-sample were 4.5 and 9.5 mm, respectively.
The measurements were carried out with a high-field Chemagnetics CMX Infinity 270 MHz NMR spectrometer using a spin-locking CPMG (Carr-Purcell-Meiboom-Gill) technique (Santyr et al., 1988). Briefly, this means that measured signal decays are associated with the rotating-frame spinlattice relaxation time, T1ρ (e.g. Farrar & Becker 1971). This was confirmed by carrying out equivalent traditional T1ρ experiments on some samples to check that the same signal decay was obtained. The use of the CPMG method to measure T1ρ is advantageous, since the whole decay signal can be obtained in one shot and a finer resolution of the decay can be obtained for a given time. It is possible that T1ρ and T2 are equivalent here, but it is unlikely T2 is measured with such a short refocusing delay (22 μs). The measurement of T1ρ necessitates that all CPMG measurements are carried out with the same inter-pulse spacing τ in order to allow proper comparisons (same spin locking field) between results from different samples (Carlsson et al., 2012, and references therein). To conclude, this study utilised 1H NMR T1ρ relaxation time measurements using the short inter-pulse CPMG method. The time used between the centre of the 180° pulses, τ, was 22 μs in all cases (equivalent to a 22.7 kHz spin locking field). The software peak-o-mat (Kristukat, 2008) was used to fit discrete exponentials to the decay curves obtained from the NMR measurements. The sample temperature was kept at 23°C by gas flushing.
At the end of the equilibration of the SAXS experiment the external solution was removed and its pH values measured. Later, the solution was filtered with 12 k MWCO ultrafilter and Na+, K+, Ca2+, Mg2+, Cl–, and were analysed. When the bentonites of the SAXS experiments were removed from the sample cell, a layer of 1 mm next to the filter plate, where the water content is often increased, was first removed. Half of the next layer of 2 mm was used for the water content measurement by drying the sample two days at 105°C. The other half of the layer was used for determination of chloride concentration in the clay. The chloride analysis was performed by dispersing the bentonite sample of 0.3–1 g in 20 ml of deionized water. The samples were shaken for four days and then the solution was separated from the bentonite in a centrifuge. The solution was ultrafiltered with 12 k MWCO filter and chloride analysed with ion chromatography.
Small-angle X-ray Scattering (SAXS) measurements were performed on the rest of the bentonite sample. The measurements were carried out with a SAXS device consisting of a Bruker MICROSTAR microfocus rotating anode X-ray source with Montel Optics (parallel beam, Cu-Kα radiation, λ = 1.54 Å), where the beam was further collimated using three sets of JJ X-ray 4-blade slits. Two sample-to-detector distances were used in order to span different q ranges. The scattering intensities were measured using a 2D area detector (Bruker HiStar or Bruker Våntec). The magnitude of the scattering vector is given by q = (4π/λ)sinθ, where 2θ is the scattering angle. The dependence between the size (d) of the structure causing scattering and the scattering vector (q) is given by d = 2π/q. The q values were calibrated using a silver behenate standard (d = 58.4 Å). Corrections for spatial distortion and detector response were made using a Fe-55 source. The SAXS patterns from the samples were absorption-corrected and the background scattering was subtracted. For SAXS measurement, the samples were cut into 0.5 mm-thick slices to keep the absorption of the direct X-ray beam at a reasonable level. Mylar foils were placed on each surface of the bentonite to prevent water content changes of the sample during the measurement.
Results and Discussion
The NMR measurements on water-saturated MX-80 bentonite samples yielded decay curves, which could be expressed as a sum of two exponential decays, see Fig. 3. Each decay curve i was associated with a zero time magnetization M0,i and a corresponding spin-lattice relaxation time T1ρ,i, as described by equation 8. The value of M0,i was interpreted as a measure of the amount of water phase associated with the curve, while the two T1ρ relaxation times were used to distinguish between two categories of porewater: IL water and non-IL water. As stated above, it could not a priori be expected that only two exponential decay curves would suffice to describe the observed relaxation time, but this was found to be the case for the samples investigated in this study. The results in Table 1 provide support for the idea that two, and only two, major types of porewater were present in the samples. This is seen in the column with M0,i values that were achieved by assuming the presence of three porewater phases. The third M0,i value was only about 1% of the total magnetization, which suggests that the possibility of a third water phase in the samples studied is negligible for the present purposes. Further examination of the data indicates that the T1ρ relaxation times decrease with increasing dry density, or in other words, with decreasing water content. A reasonable explanation for this is found by realising that an increase in dry density reduces the pore volume and increases the clay surface area. This means that the porewater experiences a stronger influence from paramagnetic impurities in the montmorillonite structure, which is manifested by the shorter relaxation times shown. Inspection of Table 1 also shows a clear trend in how the M0 values vary with dry density: M0 values associated with the faster decays (shorter T1ρ values), increase with increasing dry density, and vice versa; the M0 values associated with the slower decays (longer T1ρ values), decrease with increasing dry density.
Graphs of the type shown in Fig. 3 were observed for the MX-80 samples containing pore-water, but not for the oven-dried MX-80. Measurements on oven-dried (105°C for 24 h) samples only produced small, insignificant signals emanating from protons in, e.g. structural OH groups within the structure of the montmorillonite unit layer. In other words, the results from the NMR measurements suggest that the two curves (Fig. 3) are associated with two distinguishable water phases located in two different types of pores. A reasonable distinction can tentatively be made in terms of the IL and non-IL water phases, an approach frequently found in the literature, see e.g. Pusch et al. (1990), Muurinen (1994), Wersin (2003), Suzuki et al. (2004), Fernández & Rivas (2005) and Warr & Berger (2007).
In order to couple the paired T1ρ and M0 values with the proper water phase (IL or non-IL water), supporting data from the SAXS measurements below were used. The data of interest in this context were the determined volume fractions of the IL-porosity and the total water porosity (Table 3). Taking the ratio of IL-porosity to water porosity yields the IL water as a fraction of the total water content (assuming completely water-saturated clay). This way of expressing water volumes is consistent with the terminology used here in our discussion of the NMR results. Needless to say, an NMR experiment designed to measure the amount of a certain water phase in a sample should give an M0 value that is positively correlated with the amount of the corresponding water phase. This idea was utilized in Fig. 4 where the IL water volumes determined by SAXS are plotted vs. the M0 values associated with short T1ρ values (in Table 1). Ideally, if the chosen M0 value is a proper tool for quantifying the IL water volume, then the data points relating the IL water volumes with the corresponding M0 values should lie on the solid line shown in Fig. 4. Each sample is characterized by one M0 value associated with a shorter T1ρ value and another M0 value associated with a longer T1ρ value (Table 1). Every sample is thus represented by two data points in the diagram. It is clearly seen that only those data coupled to the shorter T1ρ values correlate positively with the IL water volume determined by SAXS. Although the above reasoning is not a conclusive proof sensu stricto, the combined use of data from the NMR and SAXS measurements strongly supports the interpretation used in this paper, namely that the IL water content is quantitatively given by the M0 magnetization vector associated with the shorter T1ρ relaxation time and vice versa; the non-IL water content is quantitatively given by the M0 magnetization vector associated with the longer T1ρ relaxation time.
One major drawback in the NMR measurements is that the equilibrium cells do not permit real in situ measurements; analyses were performed after removing the samples and sub-sampling them. This means that the sample might change somewhat when removed from the cell and that the measured data do not necessarily reflect exactly the same micro-structure as in the constrained conditions encountered in the cell. However, the transfer of each sample from the cell to the NMR tube occurred quickly under normal air and did not alter the soil/water mass ratio.
The possible structural disturbances caused by transferring the samples from the equilibrium cell to the sample tube were studied experimentally. The tests were made on two samples consisting of water-saturated MX-80 mixed with Milli-Q water and compacted to dry densities of 1.3 and 1.6 g/cm3. The series also contained one Na montmorillonite sample with a dry density of 1.3 g/cm3. The compaction differed slightly from the previous description in that a 9.5 mm long Teflon tube was placed upright in the squeezing cell. The Teflon tube and the rest of the squeezing cell were filled with MX-80/water or montmorillonite/water mixture in such a way that the dry density of the material inside the Teflon tube was the same as in the clay material surrounding it. After compaction to a height of 9.5 mm the sample was taken from the squeezing cell and placed in the equilibrium cell (Fig. 2), where each end of the Teflon tube was in contact with a sinter. The equilibrium cells were disassembled after four weeks and two samples were taken from each cell. One sample was transferred to an NMR glass tube as described previously, thus being exposed to the risk of having its micro-structure disturbed. The sample in the Teflon tube was kept untouched when the tube was removed. Possible disturbances were therefore expected to be less pronounced. The possibility of vertical expansion along the tube could not, however, be ruled out once the sinters were removed. However, no signs of vertical expansion could be seen on inspection by the naked eye. The sample tubes were sealed directly after removal from the equilibrium cell, and stored at room temperature until subsequent T1ρ measurement in the NMR spectrometer. The results from the few pre-tests did not reveal any difference between the samples that had been stored in the Teflon tubes and those that had been transferred to glass tubes, which was taken as an indication that the transfer of samples from the equilibrium cell to the NMR tube did not, after all, have any significant effect on the micro-structure of the samples. However, in order to rule out the possibility of disturbing the clay microstructure, future studies of this type should be directed towards in situ measurements.
The chemical compositions of the solutions in the external vessels of the SAXS experiment are presented in Table 2. Sodium and chloride are still the most abundant components in the solutions. Most important changes concern sulfate and bicarbonate, which emanate from dissolution of calcite and gypsum.
The data sets of the SAXS measurements on the bentonite samples at two different detector distances were joined together by scaling the low-q data set to coincide with the high-q data set in the overlap region. The scattering intensity I(q) values are presented for the samples of different density as a function of q in Fig. 5. The intensities have been vertically shifted in order to get the curves separated from each other in the figure. Characteristic of all the curves is the strong peak at about q = 0.3–0.4 Å–1. The peak represents the interlayer basal distances of the montmorillonite. The place and shape of the peak depends on the density of the clay, indicating which basal distances are dominant. The MX-80 sample with a dry density of 0.7 g/cm3 shows a broad peak also at q of about 0.1–0.2 Å-1. At low q values the SAXS curves approach on log-log scale a straight line with a slope close to –3. The slope –3 represents the large three-dimensional structures.
The interpretation of the SAXS data obtained in this study was made on the basis of Bragg’s law, which thus may add some uncertainty to the reported IL distances. The use of profile modelling will probably improve this in our future work. However, overall trends, like the dependence of the amount of IL water on the dry density, are expected to be less sensitive to the above uncertainty and, consequently, seem to be basically correct.
In order to obtain a more precise picture of the scattering effects at high q values the intensity values in Fig. 5 have been modified by dividing them by qs, where s is the exponent of the trend line equation of the linear part of the curves in Fig. 5. Figure 5 presents a fitting curve equation to I(q) at low q values for the density of 0.7 g/cm3 as an example. The modified intensities are presented in Fig. 6. In the figures the x axis has been changed from q for the basal distance, too. The vertical lines in the figures indicate the theoretical basal distances of different bentonite densities assuming a homogeneous structure. In addition to the peaks which represent the IL basal distances in the montmorillonite stacks, there is lower intensity in somewhat larger distances (1.8–8 nm). The intensity of those areas depends on the density of the sample such that the intensity is highest at low density and decreases when the density increases. The theoretical basal distances of the homogeneous bentonite are in the area of 1.8–5 nm, and it can be assumed that the measured intensities there represent the most swollen parts of the montmorillonite and possibly the faults (Cebula et al., 1979). The IL distances measured with SAXS given by the main peaks in Fig. 5 were clearly smaller than the theoretical ones assuming homogenous bentonite, which indicate qualitatively that all water is not in the IL space and that there is also non-IL water.
Separating of the overlapping peaks representing each number of molecular layers of water in the interlayer space is challenging due to the strong overlapping of the peaks at higher basal distance values. A simplified method is to allow each q value (channel of counts) to represent an interlayer distance and the counts to represent the fraction of montmorillonite having this interlayer distance. In this way, the interlayer distances will be considered over the whole area in water amount calculations, although the exact contributions of the different water layer numbers are not specified. The chloride porosity measurements and Donnan exclusion calculations were used together with the SAXS results to evaluate the bentonite microstructure. The bentonite structure used in the evaluation was of the same type as described earlier in many publications (Wersin, 2003; Suzuki et al., 2004; Muurinen et al., 2007; Tournassat & Appello, 2011), where the montmorillonite is organized in stacks having IL water between the layers and non-IL water between the stacks.
The chloride porosity εCl was evaluated from the volume-based concentration ratios between the bentonite and the external solution from equation 12, where mCl is the mass of chloride in the studied bentonite sample, mb is the dry mass of bentonite, ρg is the grain density of bentonite (2.75 g/cm3), Vw is the volume of water in the water-saturated bentonite sample, and is the chloride concentration in the external solution.
The water contents measured for the MX-80 samples taken 1–3 mm from the water bentonite interface gave somewhat lower densities than aimed for in the case of the samples 1.3 g/cm3 (measured 1.25 g/cm3) and 1.6 g/cm3 (measured 1.55 g/cm3). It is possible that there was a density gradient in the sample which caused this difference. In the calculations performed on the SAXS samples taken further from the filter plate, the planned densities were used instead of the values calculated from the water content measurements.
Ccc can be evaluated from the cation-exchange capacity and water content in the clay. In the case where chloride and sodium are the only ions in the system, the chloride concentration in the porewater is equal to Cie. By assuming that all the activity coefficients are equal, the concentration caused by the external solution into the porewater can be solved.
Donnan exclusion modelling was done for the MX-80 samples assuming a homogeneous or dual porosity structure in the montmorillonite. The total surface area of the bentonite used in the calculations was 610 m2/g, CEC was 84 meq/g (Kumpulainen & Kiviranta, 2010, 2011) and the grain density 2.75 g/cm3. The concentration caused by the exchangeable cations in the porewater (Ccc) could then be calculated. The cation concentration caused by the external solution into the porewater (Cie) was solved from equation 13 and the chloride porosity from equation 12. The effect of the dissolving accessory minerals (gypsum, calcite) was ignored in the modelling. In the model with the dual porosity, the fraction of the montmorillonite of each basal distance was calculated from equation 11 using the curve of the modified intensity vs. the basal distance in Fig. 6. This allows calculation of the total water amount in the interlayer space when the surface area of montmorillonite seen by SAXS is known. However, it is not possible to conclude from the SAXS curve which fraction of montmorillonite contributes to the SAXS spectra, i.e. which part of the surface area can be considered as an interlayer one. In the modelling, the number of layers in the stacks was used as a fitting parameter. It was adjusted so that the modelled chloride concentration was equal to the measured value. Chloride was allowed to go both to the IL and non-IL water according to the Donnan model. In the calculations, the interlayer size was allowed to extend to twice the theoretical homogeneous basal distance. The input data used in the modelling and the obtained results of MX-80 bentonite are presented in Table 3.
The results from the NMR measurements and SAXS measurements are compared in Fig. 7. The figures present IL, non-IL, water and chloride porosity in MX-80 samples saturated with 0.1 m NaCl solution at different dry densities. The NMR studies and SAXS studies coupled with the Cl exclusion modelling provide very similar pictures of how the porewater is divided into two phases in bentonite. The trend lines of the IL and non-IL porosity seen in the figure were calculated from the SAXS and NMR results together. The second-order regression equations presented in the figure caption describe well the porosities as a function of the dry density of bentonite within the described density area. The diagrams also show that the chloride porosity is smaller than the non-IL porosity indicating the exclusion. The Donnan modelling based on the homogeneous montmorillonite in bentonite (Fig. 7) gives clearly lower Cl-porosity than the measured one.
The subsamples for SAXS and NMR measurements had to be cut from the larger bentonite sample of the experiment. For this purpose the initially confined bentonite has to be opened and the swelling pressure released. How much this changes the sample is not clear at the moment. The above clearly underline the need for performing in situ experiments. Excellent examples of in situ experiments are the neutron-scattering measurements on compacted water-saturated bentonite performed by Devineaux et al. (2006).
Uncertainties are related to the Donnan model used for evaluation of the chloride exclusions, too. According to Tournassat & Appelo (2012) the model is more suitable for the high-density conditions than for the low density conditions. The difficulty of taking into account the divalent ions and the evaluation of the activity coefficients brings more uncertainty to the result. The use of chloride exclusion for the evaluation of the IL and non-IL surface areas is not needed when the SAXS and NMR samples are taken from the same experiment. Then the surface areas can be calculated directly from SAXS and NMR data without the exclusion calculations.
Summary and Conclusions
Knowledge about the microstructure of the bentonite and the distribution of water between different pore types is useful to model long-term processes in the bentonite in an HLW repository. The porosity is often considered to be divided into two distinguishable parts, interlayer (IL) and non-interlayer (non-IL) pores. The water in these pores is generally assumed to have different properties as a consequence of how much it is influenced by the electric fields emanating from the negatively charged montmorillonite unit layers. Close to the basal unit layer surfaces, the anions are affected by the negative surface, which is the reason why anion exclusion occurs. It is thus possible to sub-divide the non-IL water to smaller categories, like “diffuse double-layer water” and “free water”. In the present study, however, the result was explained in terms of the IL and non-IL concepts and no further sub-division of the water phases was used.
The research on water-saturated clay microstructure benefits from combining techniques to get complementary data. In the present study, NMR, SAXS and chloride exclusion were used for this purpose. The present study was carried out with MX-80 bentonite. The sample dry densities ranged between 0.7 and 1.6 g/cm3. The NMR results were obtained by using 1H NMR T1ρ relaxation time measurements using the short inter-pulse CPMG method. The interpretation of the NMR results was based on the fitting of discrete exponentials to the observed decay curves. The results by NMR indicated for compacted samples the presence of two main types of water, which were interpreted as IL and non-IL water.
The SAXS measurement on bentonite samples were used to get information about the size distribution of the IL distance of montmorillonite. The IL distances measured with SAXS were clearly smaller than the theoretical ones assuming homogenous bentonite, which indicated qualitatively that all water was not in the IL space and there is also non-IL water. The chloride porosity measurements and Donnan exclusion calculations were used together with the SAXS results to evaluate the bentonite microstructure. The layer model, where the montmorillonite was organized in stacks having IL water between the layers and non-IL water between the stacks, was used in the evaluation. In the modelling, the number of layers in the stacks was used as fitting parameters which determined the IL and non-IL surface areas. The fitting parameters were adjusted so that the modelled chloride concentration was equal to the measured one.
The studies carried out with two different methods, NMR and SAXS studies coupled with Cl porosity measurements, provided very similar pictures of how the porewater is divided in IL and non-IL water in the bentonite. The IL and non-IL porosities of this study were in most cases in line with the porosities found in the literature. The only exception was the clearly lower values of non-IL porosity presented by Holmboe et al. (2012). In that study it was obviously assumed that the clay was homogeneous, no stacking occurred, and that the total surface area was identical with the whole IL surface area. These assumptions lead to the exceptionally high IL water and low non-IL water values presented by Holmboe et al. It is probable, however, that the real situation in the bentonite is more complex than the used microstructural model in this study where the non-IL pores were assumed to be of the same size. More realistic modelling would, however, need data about the non-IL pore size distributions, which is not available at the moment.
The work was funded by Posiva Oy.
The SAXS measurements were carried out by Panu Hiekkataipale at The Nanomicroscopy Center of Aalto University.