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a Dep. of Civil Engineering, 208 Harbert Engineering Center, Auburn Univ., Auburn, AL 36849-5337 USA
b Environ. Sci. Div., Oak Ridge National Lab., P.O. Box 2008, Oak Ridge, TN 37831-6038 USA
c Dep. of Agronomy, 104 Sturgis Hall, Louisiana State Univ., Baton Rouge, LA 70803 USA
barnettm{at}eng.auburn.edu
| ABSTRACT |
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Abbreviations: DOE, Department of Energy FOK, first-order kinetic FRK, fractional order kinetic HF, Hanford NLE, nonlinear equilibrium OR, Oak Ridge RMSE, root mean square error SCM, surface complexation model SR, Savannah River XAS, x-ray absorption spectroscopy
| INTRODUCTION |
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Iron-containing minerals in particular strongly adsorb U(VI) (Casas et al., 1994; Ticknor, 1994) and the interactions of U(VI) with pure Femineral phases such as ferrihydrite (Waite et al., 1994), goethite (Kohler et al., 1992; Tripathi, 1983), amorphous iron hydroxide (Morrison et al., 1995), and hematite (Hsi and Langmuir, 1985) have been thoroughly investigated. In most cases, these studies have focused on the pH-dependent adsorption of U(VI) in batch experiments and have used different surface complexation model (SCM) formulations to describe the data. The adsorption of U(VI) to clay minerals is more complex, due to the larger variety of potential sorption sites. McKinley et al. (1995) and Turner et al. (1996) investigated the adsorption of U(VI) to clay minerals. They used a multiple site model where U(VI) could adsorb on both fixed charge and variable charge sites, with the variable charge edge sites modeled as gibbsite and silica analogs. The adsorption of U(VI) to other pure mineral phases such as sulfides (Wersin et al., 1994) and carbonates (Morse et al., 1984) have also been investigated.
Fewer studies have focused quantitatively on the adsorption of U(VI) to heterogeneous subsurface materials and its effects on U(VI) transport under dynamic (flowing) conditions. Voudrias and Means (1993) studied the adsorption and transport of U(VI) to halites, carbonates, and mudstones of the Palo Duro Basin in Texas. Predicted effluent curves based on the local equilibrium assumption and a linearized, batch-measured retardation coefficient underestimated the degree of retardation observed in column experiments. Sims et al. (1996) studied the transport of U(VI) through intact natural sandstone columns. Coupled chemical equilibriumtransport models were used to predict the extent of U(VI) migration within the cores based on SCM constants from U(VI) adsorption to silica and the local equilibrium assumption. However, U(VI) transport in the columns was generally less than predicted by the model. Kohler et al. (1996) investigated the adsorption of U(VI) to quartz particles in batch and column experiments as a function of U(VI) concentration, ligand concentration, and pH. A non-electrostatic SCM was used to model both batch adsorption and reactive solute transport in the column. The independently measured batch parameters did not accurately predict the column breakthrough data, both over- and under-predicting the retardation in different experiments. Various formulations of the SCM were fit to the column data. These independently fitted parameters were able to qualitatively predict the breakthrough curves from columns with an added ligand (fluoride).
The purpose of this paper is to describe the results of an investigation into the adsorption and transport of U(VI) in natural, heterogeneous subsurface media. Our goal was to provide an improved understanding and predictive capability of U(VI) transport at contaminated Department of Energy (DOE) sites in an effort to better characterize the risk of contaminant migration and evaluate potential cleanup scenarios. Adsorption and transport experiments were conducted on three subsurface materials acquired from the Oak Ridge (OR) Reservation in East Tennessee, the Savannah River (SR) Site on the GeorgiaSouth Carolina border, and the Hanford (HF) Reservation in southeastern Washington. All three DOE sites have a history of U waste disposal and subsurface contamination. Specific objectives of the investigation were: (i) to measure the adsorption of U(VI) on subsurface materials from these locations possessing different physical, chemical, and mineralogical properties; (ii) to measure the effect of U(VI) concentration and pH on the extent of adsorption; and (iii) to measure and model U(VI) transport in packed columns of the these media.
| Materials and methods |
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60 m above the Columbia River from a freshly exposed escarpment of
1 m (Zachara et al., 1995). The material is predominately sand-sized quartz with discrete Mn- and Fe-oxide minerals. Select physical, chemical, and mineralogical properties of the three media are presented in Table 1
. Each of the bulk samples was air-dried and sieved through a 2-mm screen prior to use.
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Transport Experiments
Transport experiments were conducted in 1-cm-diam. glass columns at room temperature (295.5 ± 0.5 K) and a constant ionic strength (0.01 M). Two grams of each media was dry-packed to a depth of 1.7 cm. The columns were slowly flushed from the bottom using 0.01 M NaNO3, pH-adjusted to the soil pH, until air spaces were no longer visible. A step input of U(VI) in a 0.01 M NaNO3 background matrix was introduced to each of the columns at a specific discharge of 4.3 cm/h. After the desired breakthrough period, the inlet solution was switched back to a U(VI)-free, 0.01 M NaNO3 solution. Effluent samples were collected with a fraction collector and analyzed for U(VI) and pH. Column hydrodynamics were measured subsequent to the experiments by introducing a step input of a bromide-containing solution to the columns and measuring the concentration of bromide in the effluent by ion chromatography. The properties of the columns were similar with a porosity of 0.45, a dispersion coefficient of 3.2 cm2/h (column Peclet number 5.2), and a bulk density of 1.5 g/cm3. The fluid residence time in the columns was 0.18 h.
Modeling
The Freundlich equation
![]() | (1) |
The column experiments were modeled using the one-dimensional advectivedispersive equation
![]() | (2) |
is the column bulk density (M/L3),
is the volumetric water content (L3/L3), and t is the time. The velocity, bulk density, and volumetric water content were measured or calculated from direct physical measurements. The solute dispersion coefficient was estimated independently by fitting an analytical solution of Eq. [2] to the bromide breakthrough curve using D as the adjustable parameter with CXTFIT (Parker and van Genuchten, 1984).
Observed U(VI) displacement experiments were modeled with the Multireaction Transport Model (Ma and Selim, 1997; Selim et al., 1990). Several different formulations were used to model the interactions between U(VI) and the solid phase based on (i) local adsorption equilibrium, (ii) rate-limited adsorption, or (iii) a combination of the two. Assuming local equilibrium-governed adsorption and using the Freundlich isotherm and constants measured in the batch experiments, the governing adsorption equation is
![]() | (3) |
![]() | (4) |
Various combinations of Eq. [3] and [4] representing different model formulations were used to describe the interactions between aqueous U(VI) and the solid phase. The models used were: a nonlinear equilibrium model (NLE, Eq. [3]), a coupled nonlinear equilibrium, first-order kinetic model (NLE-FOK, Eq. [3] and [4] with m fixed at one), a first-order kinetic model (FOK, Eq. [4] with m fixed at one), and a fractional order kinetic model (FRK, Eq. [4] with m as an adjustable parameter). For the NLE-FOK model, the total adsorbed U(VI) concentration was the sum of the adsorbed concentrations on both equilibrium and kinetic sites.
Each model formulation differed only in the equations used to describe the interaction of U(VI) with the solid phase. Equation [2] and the governing solutesorbent equations were solved numerically using finite difference approximations of the governing partial differential equations subject to a third-type boundary condition at the column entrance and a Newman boundary condition at the column exit (Selim et al., 1990). The models were fit to the data with non-linear least squares curve fitting. The agreement between the model-calculated and experimentally measured values was quantified by the root mean square error (RMSE)
![]() | (5) |
i(t) are the measured and calculated values of the concentration at time t, and C0 is the inlet concentration. The RMSE is an estimate of the standard deviation between measured and calculated concentrations expressed in dimensionless form as a fraction of the inlet concentration, where lower values of RMSE indicate a better fit of the model to the data. Models containing different numbers of adjustable parameters were compared to determine which provided the statistically better fit using the extra sum of squares principle (Kinniburgh, 1986). | Results and discussion |
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100 h of the experiment. Although further long-term uptake of U(VI) can not be ruled out, for the purposes of batch experiments, adsorption equilibrium was assumed to be reached after 48 h.
Batch Adsorption Equilibrium Experiments
After establishing the time required to approach adsorption equilibrium, batch experiments were conducted for each subsurface material at the natural, unaltered pH of the solid phase (Table 1) and over a range of initial aqueous concentrations. The aqueous concentration range was again lower for the HF sediment to minimize the potential for precipitation of ß-UO2-(OH)2(s) at the higher pH of this sediment. For all three materials, the adsorption isotherm was nonlinear (Fig. 2)
. Nonlinear adsorption is characteristic of a decreasing sorbentsorbate affinity with an increasing extent of adsorption (Sposito, 1984) and may reflect U(VI) adsorption to different types of sites as a function of surface loading. Morris et al. (1994) and Chisholm-Brause et al. (1994) detected spectroscopically distinct adsorbed U(VI) species on the surface of pure clay minerals which they attributed to U(VI) adsorption on sites with distinct structures or energy. In heterogeneous media, like those used in this study, there is the potential for an even larger variety of surface sites. Of the conventional non-electrostatic isotherms, the data was best described by the Freundlich isotherm (Eq. [1], Table 2)
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| pH Adsorption Edges |
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4.5 to 5.5. Unlike most other cationic metals, however, the degree of adsorption decreased sharply again as pH increased over another relatively narrow pH range of
7.5 to 8.5. This second or reverse pH adsorption edge has been observed for U(VI) on pure Femineral phases such as goethite, hematite, ferrihydrite, and amorphous iron hydroxide (Hsi and Langmuir, 1985; Tripathi, 1983; Waite et al., 1994) in open systems. This behavior has been explained as a consequence of (i) the increase in the dissolved carbonate concentration with pH at constant carbon dioxide partial pressure and (ii) a concurrent increase in the concentration of U(VI)carbonate complexes. The calculated system speciation and the total dissolved carbonate concentration change as a function of pH in the experimental system (Fig. 4) . As pH increases in an open system, the concentration of dissolved carbonate increases and the degree of U(VI) complexation with carbonate increases as well. Since the U-carbonate species are neutral or anionic, electrostatic interactions with the solid phase will be negligible. In addition, competition with U(VI) for surface sites from dissolved carbonate and bicarbonate anions will also increase as the pH and total carbonate concentration increase. These phenomena are likely responsible for the reversal in the U(VI)pH edge in open systems.
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The transport of U through the three columns (Fig. 57) was significantly retarded relative to the transport of the conservative tracer bromide (not shown). Complete U(VI) breakthrough did not occur until after 3000 pore volumes for the column exhibiting the fastest breakthrough (SR) and had not occurred even after 6000 pore volumes for the column exhibiting the slowest breakthrough (HF). Qualitatively, the relative degree of retardation exhibited in each column agreed with the relative degree of adsorption observed in the batch-measured isotherms (Fig. 2) and the pH adsorption envelopes (Fig. 3). The breakthrough of U(VI) in the SR column (pH 4.1) occurred before the breakthrough from the OR column (pH 4.7) which occurred significantly before the breakthrough from the HF column (pH 6.8).
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The overall column U(VI) mass balance was checked by calculating the mass of U(VI) adsorbed during the adsorption phase and desorbed during the desorption phase by numerical integration of the experimental breakthrough curves. Quantitative U(VI) recovery was obtained in all columns indicating the U(VI) adsorption was readily reversible for these materials. More than 98% of the U(VI) sorbed to the SR sediment and more than 95% of the U(VI) sorbed to the OR soil during the adsorption phase was recovered during the desorption phase. More than 90% of the U(VI) mass adsorbed to the HF sediment in the adsorption phase was also recovered in the desorption phase. Given the relatively small amounts of U(VI) involved (maximum amount of U(VI) absorbed in any column <5 mg), close to complete mass recoveries within experimental errors were obtained.
Modeling Results
To provide an improved understanding of U(VI) transport, quantitative transport modeling was performed on the U(VI) effluent data using a multireaction transport model. Initially it was of interest to determine how well the batch-measured adsorption isotherms predicted transport through the columns. Simulated breakthrough curves based on the batch-measured adsorption isotherms and the local adsorption equilibrium assumption (the NLE model) did not adequately predict the breakthrough of U(VI) from any of the columns, with RMSE ranging from 0.250 to 0.568 (Fig. 57, Table 4)
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An additional reason for the discrepancy between the NLE-predicted and observed breakthrough curves is the larger adsorption capacity the materials exhibited in the column experiments compared to the batch experiments. This observation can be noted by comparing the area above both the observed and NLE-predicted effluent curves during the adsorption phase; this area is proportional to the amount of U(VI) adsorbed at any point in time. By integrating the areas above the NLE-predicted and observed breakthrough curves during the adsorption phase, it was determined that 2.0, 2.2, and 1.7 times as much U(VI) was ultimately adsorbed in the SR, OR, and HF columns, respectively than was predicted on the basis of the batch-measured adsorption isotherms. The reason for this discrepancy is unclear, but in general, parameters measured in batch experiments often do not translate well into column transport experiments (Zachara and Streile, 1991). The data of Kohler et al. (1996) and Voudrias and Means (1993) provide specific evidence of discrepancies between U(VI) adsorptiontransport in batch and column experiments.
There are several fundamental differences between the adsorption environments in batch and column experiments which could produce such differences. The mean U(VI)solid phase contact time in column experiments was significantly longer than in batch experiments, which lasted for 48 h, while U(VI) inputs to the columns lasted for at least 23 d. The longer U(VI) contact time with the solid phase may have allowed for migration of adsorbed U(VI) into micropores of the solid phase (e.g., interlayer sites of 2:1 clays), freeing up additional surface sites, and/or structural rearrangement of the adsorbed U(VI) phase allowing more adsorption. In addition, in batch experiments, all the U(VI) was added in one spike at the beginning of the experiment, while in the column experiments the solid phase (except immediately at the column entrance) experiences a gradual increase in U(VI) concentration. This gradual increase in concentration could lead to a different and more efficient arrangement of U(VI) on the surface. Finally, in batch experiments solutes dissolving from the solid phase, which would be rapidly flushed out in columns can build up in solution, inhibiting U(VI) adsorption.
In order to test whether or not these differences could explain the discrepancies in observed adsorption capacity between batch and column experiments, three additional batch adsorption isotherms for the OR material were measured (Fig. 2b). An additional adsorption isotherm (Isotherm 2) was measured under the same conditions as the original isotherm (Isotherm 1) but with a 1 mo equilibration time to test the importance of additional U(VI)solid phase contact time. A third isotherm (Isotherm 3) was measured under the same conditions as Isotherm 1, except that the U(VI) was added in three equal increments over approximately 48 h to determine if a more gradual buildup in U(VI) influenced adsorption. Finally, a fourth isotherm (Isotherm 4) was measured in the presence of small amounts of added H4SiO4 (18 µM), CaCl2 (50 µM), and MgSO4 (48 µM), which is approximately the same amount of Si, Ca, and Mg dissolved from the solid phase over the course of the original 48-h batch experiment.
The results (Fig. 2b) suggest these additional factors may influence adsorption, at least to a limited extent, but are not sufficient to explain the entire difference between the extent of adsorption observed in batch and column experiments. The data from Isotherms 1 and 3 were quite close, with very little difference between fitted isotherms. However, there was evidence that longer equilibrium times and the presence of ions dissolved from the solid phase could influence adsorption. As hypothesized, a 1 mo equilibration time did result in more adsorption capacity. Similarly, the addition of Ca, Mg, and Si resulted in lower adsorption capacity. Although the concentrations of added Si, Mg, and Ca are quite low, they are on the same order as the maximum amount of U(VI) added to the soil (40 µM). These added solutes could then potentially compete with U(VI) for nonspecific adsorption sites (e.g., CEC sites). When constants for each of the isotherms were used in the NLE model, the predicted breakthrough curve shifted slightly (Fig. 6). It is not possible to determine the absolute magnitude of these effects, since some buildup of dissolution products in batch experiments is inevitable. However, these observations indicate that at least some of the difference between the adsorption capacity observed in batch and column experiments can be explained by differences in the adsorption environments in batch and column experiments, and there are, undoubtedly, other differences as well. Szecsody et al. (1998), for example, have suggested that particle-scale heterogeneity may be responsible for differences in observed batch and column adsorption characteristics for heterogeneous media. Whatever the cause, these results illustrate a fundamental difference between U(VI) adsorption in batch and column experiments.
The additional sorption capacity observed in the column could also be the result of the slow precipitation of UO2(OH)2(s) and/or the reductive precipitation of UO2(s) which was not observed in the relatively short duration batch experiments. Although the solutions used in the column experiments were theoretically undersaturated with respect to UO2(OH)(s), recent research has shown that surface precipitation of metal hydroxides can occur on solid oxyhydroxides even when the systems are undersaturated with respect to the pure metal hydroxide (Towle et al., 1997). However, the interactions of U(VI) with the solid phase were completely reversible. The reductive precipitation of UO2(s) is not likely to have occurred, as the solutions used in the column experiments were air-saturated, and the presence of oxygen would inhibit the reduction of U(VI). In the absence of direct spectroscopic evidence, it is not possible to identify the specific mechanism(s) by which U(VI) was retained in the columns. However, in a column packed with pure quartz sand, complete breakthrough of U(VI) was achieved in less than 100 pore volumes (results not shown), indicating any retention observed in the columns was due to the interaction of U(VI) with each of the specific media.
In order to better quantitatively model the results, several different model formulations were investigated for their ability to describe the data. The formulations of these models are different in each case, and the ability of a model to fit the data does not necessarily indicate the model accurately represents the underlying reaction mechanisms. A model incorporating the batch-measured adsorption isotherm and a reversible first-order adsorption/desorption rate expression was used. This model (the NLE-FOK model) is a two-site model, with adsorption equilibrium being maintained on equilibrium sites and rate-limited adsorptiondesorption occurring on kinetic sites. The total adsorbed concentration is the sum of the adsorbed concentration on both the kinetic and equilibrium sites.
For the equilibrium sites, the batch-measured adsorption isotherm constants (Table 2) were used, while the kinetic parameters were determined by fitting the model to the column breakthrough data. The batch kinetic experiments were not used to provide independent estimates of the adsorption/desorption rate constants since the experimental conditions were dramatically different. The original purpose of the batch kinetic experiments was to determine the time frame required to approach adsorption equilibrium. Thus the data points were largely outside the data range appropriate for the column study (i.e., the first batch data points were taken at 0.25 h but the total column residence time was only 0.18 h). However, the batch kinetic data were extrapolated back to shorter times to provide initial estimates of the kinetic parameters for the model.
Adding a kinetic component to the equilibrium model effectively allows for more total adsorption than predicted on the basis of the equilibrium model alone (e.g., the total U(VI) adsorbed at any time is equal to the U(VI) adsorbed on equilibrium sites plus the U(VI) adsorbed on kinetic sites). Inclusion of this additional adsorption capacity greatly improved the model's ability to match the observed U(VI) breakthrough (Fig. 57), with the resulting RMSE ranging from 0.047 to 0.094 (Table 4). Although the NLE was a purely predictive model (i.e., not fitted to the data) and the NLE-FOK model had two adjustable parameters, the improvement in the model fit was still significant (P < 0.05) even when considering the additional adjustable parameters. The relative error estimates for the adjustable parameters in the NLE-FOK model were large in some cases which reflects the auto-correlation between the fitted parameters (Kinniburgh, 1986).
Although the NLE-FOK model was able to describe the data within 0.1 RMSE, two additional model formulations, a first-order kinetic (FOK) model and a fractional order kinetic model (FRK), were tested to determine whether improved model fits could be obtained. The FOK model is a purely kinetic (i.e., no equilibrium sites) first-order adsorptiondesorption rate model. The FRK model is identical except that the reaction order (m) is used as an additional fitted parameter rather than assuming the adsorption rate is first order with respect to the aqueous U(VI) concentration.
The FOK model was no more successful than the NLE-FOK model in fitting the breakthrough data, with the resulting RMSE ranging from 0.053 to 0.079 (Table 4, calculated curves not shown for clarity). There was, however, an improvement in the relative error estimates of the parameters due to a decrease in the auto-correlation between the fitted parameters. The FRK model was able to fit the data better than any of the models tested, with RMSE ranging from 0.036 to 0.042 (Fig. 57, Table 4). Despite the inclusion of an additional fitted parameter (m) in the FRK model, the model was able to fit the data significantly (P < 0.05) better than the NLE-FOK model. The relative errors in the parameter estimates were also decreased due to a decrease in the auto-correlation between the fitted rate constants.
It is not possible to establish that one model is more mechanistically correct simply on the basis of curve fitting, although the consistently better fit of the fractional order kinetic model compared to the first-order kinetic models may be indicative of the processes controlling the adsorption rate. Phenomenologically, a nonlinear rate dependence (m < 1) indicates that the reaction rate per unit concentration is higher at low concentrations. Conceptually, such a dependence could be due to a variety of causes. The first-order kinetic models used in this investigation implicitly conceptualize an infinite number of surface sites. Thus the adsorption (forward) reaction rate is modeled as dependent only on the aqueous concentration. An actual rate dependence on the concentration of a finite number of vacant sites could result in an apparent nonlinear dependence on the aqueous concentration (e.g., first-order dependence when the aqueous and surface concentrations were low and the concentration of free surface sites was high and an apparent nonlinear dependence as the aqueous and surface concentrations increased and the concentration of free surface sites was decreased). Whatever the mechanism of adsorption, all the kinetic models tested were able to describe the data within 0.1 RMSE.
| Conclusions |
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In transport experiments, U(VI) was significantly retarded due to adsorptive interactions with the porous media, requiring thousands of pore volumes to achieve breakthrough. The observed breakthrough curves were highly asymmetric, indicating the existence of nonlinear and/or rate-limited adsorption. A one-dimensional transport model based on local adsorption equilibrium and adsorption isotherms measured in independent batch experiments underestimated the ultimate degree of adsorption observed in packed columns. Adding a rate-dependent adsorption reaction to the model significantly improved the ability of the model to describe the data. Several rate-dependent adsorption model formulations were able to fit the observed breakthrough curves within an RMSE of <0.1. The data for all three column experiments was best fit with a fractional order kinetic model, suggesting that the adsorption rate dependence may be nonlinear as well. Knowledge of these aspects of U(VI) adsorption and transport in natural, heterogeneous subsurface media will be useful in the development of models to predict U(VI) migration and test remediation scenarios at contaminated sites.
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Received for publication January 4, 1999.
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