We present a novel methodology for determining the transport of technetium-99m, a γ-emitting metastable isomer of (99)Tc, through quartz sand and porous media relevant to the disposal of nuclear waste in a geological disposal facility (GDF). Quartz sand is utilized as a model medium, and the applicability of the methodology to determine radionuclide transport in engineered backfill cement is explored using the UK GDF candidate backfill cement, Nirex Reference Vault Backfill (NRVB), in a model system. Two-dimensional distributions in (99m)Tc activity were collected at millimeter-resolution using decay-corrected gamma camera images. Pulse-inputs of ~20 MBq (99m)Tc were introduced into short (<10 cm) water-saturated columns at a constant flow of 0.33 mL min(-1). Changes in calibrated mass distribution of (99m)Tc at 30 s intervals, over a period of several hours, were quantified by spatial moments analysis. Transport parameters were fitted to the experimental data using a one-dimensional convection-dispersion equation, yielding transport properties for this radionuclide in a model GDF environment. These data demonstrate that (99)Tc in the pertechnetate form (Tc(VII)O4(-)) does not sorb to cement backfill during transport under model conditions, resulting in closely conservative transport behavior. This methodology represents a quantitative development of radiotracer imaging and offers the opportunity to conveniently and rapidly characterize transport of gamma-emitting isotopes in opaque media, relevant to the geological disposal of nuclear waste and potentially to a wide variety of other subsurface environments.
We present a novel methodology for determining the transport of technetium-99m, a γ-emitting metastable isomer of (99)Tc, through quartz sand and porous media relevant to the disposal of nuclear waste in a geological disposal facility (GDF). Quartz sand is utilized as a model medium, and the applicability of the methodology to determine radionuclide transport in engineered backfill cement is explored using the UK GDF candidate backfill cement, Nirex Reference Vault Backfill (NRVB), in a model system. Two-dimensional distributions in (99m)Tc activity were collected at millimeter-resolution using decay-corrected gamma camera images. Pulse-inputs of ~20 MBq (99m)Tc were introduced into short (<10 cm) water-saturated columns at a constant flow of 0.33 mL min(-1). Changes in calibrated mass distribution of (99m)Tc at 30 s intervals, over a period of several hours, were quantified by spatial moments analysis. Transport parameters were fitted to the experimental data using a one-dimensional convection-dispersion equation, yielding transport properties for this radionuclide in a model GDF environment. These data demonstrate that (99)Tc in the pertechnetate form (Tc(VII)O4(-)) does not sorb to cement backfill during transport under model conditions, resulting in closely conservative transport behavior. This methodology represents a quantitative development of radiotracer imaging and offers the opportunity to conveniently and rapidly characterize transport of gamma-emitting isotopes in opaque media, relevant to the geological disposal of nuclear waste and potentially to a wide variety of other subsurface environments.
The waste arising from >60 years of
civil and military nuclear
operations around the world contains long-lived radionuclides that
must be contained and isolated from future populations. Deep geological
disposal facilities (GDF) proposed by US and European waste management
organisations[1−4] employ an engineered multibarrier approach (Figure 1) to retard the release of radioactive species from the waste
in quantities that could be detrimental to life and the environment.
The multibarrier design concept typically combines reducing conditions
with high pH with the purpose of limiting the solubility and mobility
of radionuclide species within GDF if (or when) primary containment
fails.[4]
Figure 1
General design features of the multibarrier
geological disposal
facility (GDF) concept proposed for the long-term (∼106 year) storage of high-level nuclear wastes in the deep subsurface
(bgl = below ground level). Material design should be optimized to
resist groundwater ingress and contaminant migration.
General design features of the multibarrier
geological disposal
facility (GDF) concept proposed for the long-term (∼106 year) storage of high-level nuclear wastes in the deep subsurface
(bgl = below ground level). Material design should be optimized to
resist groundwater ingress and contaminant migration.A significant obstacle to implementation of GDF
is public and political
concern around risks and consequences of failure against design criteria
over the 105 to 106 year required lifespan of
the facility,[4] highlighted by several failures
to site GDF repositories, e.g., in the UK[5,6] and
at Yucca Mountain in the USA.[7] Should GDF
performance be compromised, it is possible that long-lived, mobile
radionuclides will be transported through the engineered backfill
into groundwater and pose a long-term hazard to the biosphere and
water resources. Thus, it is critical to the safety case for the GDF
not only to be able to demonstrate that the design performance is
well understood but to show that conditions arising from design failures
are also accounted for and mitigated as far as possible.One
potentially problematic radionuclide is technetium-99, a high-yield
fission product of 235U, which has a long half-life (2.1
× 105 years) and high solubility in oxic conditions
as the pertechnetate anion [Tc(VII)O4–]. While the conditions within the GDF are expected to be reducing,
such that insoluble Tc(IV) should be the dominant oxidation state,
the UK nuclear authority estimates suggest that a significant proportion
of the UK 99Tc inventory is expected to be present as the
Tc(VII)pertechnetate species.[8] Performance
assessment analysis of Tc mobility has shown that the potential risk
to future populations from 99Tc critically depends upon
its oxidation state,[8] such that Tc(VII)
presents a significantly greater risk than Tc(IV) over the one million
year lifetime of the GDF, even when reducing conditions are applied.
Therefore, a robust design for the engineered barrier concept should
be able to account for the risk arising from the presence and behavior
of the mobile Tc(VII), separately from the specific probability of
oxic conditions occurring or persisting within any given GDF scenario.
An improved understanding of the behavior of pertechnetate in proposed
barrier materials is also necessary to evaluate the potential of different
design specifications to mitigate or remove the potential hazard.Understanding the spatial and temporal dynamics of geochemistry
within and surrounding a GDF is essential in this task. The importance
of (bio)geochemical gradients on radionuclide mobility is the focus
of substantial current research, e.g., refs (9−11). Such studies ideally require noninvasive, nondestructive
measurement of the distribution, migration, and chemical transformation
of radionuclides within a physical model of the barrier material.
This should be considered over time as internal conditions respond
to controlled changes in boundary conditions.Quantitative imaging
techniques offer a means of achieving this
information and have been developed to study reactive transport in
porous media for a range of materials. Imaging techniques include
visible light transmission and fluorescence imaging,[12,13] nuclear magnetic resonance (NMR), and X-ray computed tomography
(see ref (14) for a
recent review). Gamma attenuation techniques with external americium-241
or cesium-137 sources have been used to determine fluid transported
within a column.[15] A key methodological
step remains: the extraction of quantitative geochemical information
from image data, particularly in three dimensions and opaque materials.[14] Techniques have been developed to quantify,
from image data, pH and oxygen gradients in two dimensions (2D) within
porous media[16] and to extract transport,
deposition, and remobilization rate parameters from time-lapse image
sequences of colloidal particles in translucent quartz sand.[13,17] Recent work demonstrated that gamma-emitting radioisotopes can be
used as an effective imaging tracer within opaque sediment and mineral
systems, both in static batch experiments[18,19] and in flow-through columns.[20] These
studies utilized ultratrace concentrations of a gamma-emitting technetium
isotope, technetium-99m (commonly used in medical and industrial imaging
applications), to demonstrate qualitatively the immobilization of
technetium on Fe(II)-bearing sediments and minerals, via an Fe(II)-mediated
reduction of Tc(VII) to Tc(IV).In this study, we report the
use of 2D gamma-imaging to quantify 99mTc transport parameters
in a simple granular porous media
model. Uniform, saturated one-dimensional flow through Ottawa quartz
sand, as a model test material, is used to demonstrate the ability
of gamma imaging to obtain reproducible data sets at the mesoscale
(millimeters to decimeters), which can be used to yield transport
parameters by fitting standard convection–dispersion models.
Furthermore, we apply this methodology, for the first time, to investigate
the feasibility of direct noninvasive quantification of radionuclide
migration within opaque cementitious GDF candidate material (crushed
Nirex Reference Vault Backfill (NRVB)[21]) under circum-neutral and alkaline pH. The technique represents
a base for development of model systems for noninvasive study of radionuclide
migration in complex physicochemical environments, critical to establishing
the design specifications and safety case for future GDFs, and also
for application to other contaminant transport in the subsurface.
Experimental
Section
Replicated flow cells enabled aqueous solutions with
and without
a 99mTc tracer to be pumped through saturated quartz sand
at a steady flow rate with continuous monitoring using a gamma camera. 99mTc is a controlled radioactive substance; therefore, experiments
were performed with appropriate risk assessment in specialist facilities
at a hospital which routinely produces and handles the material for
use in clinical nuclear medicine. All other chemicals used were obtained
from Fisher Scientific (UK) unless otherwise indicated.
Flow Cell Design
and Setup
Bench-scale flow cells were
constructed of two Perspex plates separated by Viton seals and bolted
tightly together (Figure 2). The rear plate
was solid, while the front plate had an indent creating a void space
to hold the porous material. When assembled, the internal void was
100 × 50 × 7 mm. An upper port in the rear plate allowed
for input of the aqueous phase to the cell, while a lower port in
the same plate allowed for removal of the aqueous phase for control
of flow rate and sampling. Flow was from top to bottom along a distance
of 70 mm between the ports. 99mTc tracer was injected through
a needle immediately below the inlet port (Figure 2).
Figure 2
Schematic of the experimental setup showing construction of the
flow cells, the pumping system, and image acquisition geometry.
Schematic of the experimental setup showing construction of the
flow cells, the pumping system, and image acquisition geometry.The flow cells were filled with
70 g of Ottawa sand (99.5% SiO2, particle diameter 500–700
μm) or 45 g of crushed
Nirex Reference Vault Backfill (NRVB),[21] sieved to 2–4 mm particle size, ensuring maintenance of appropriate
flow rates. Crushing and experimental setup were conducted in air
several hours prior to experimentation, in which time some carbonation
of the exposed surfaces may have taken place. The possible chemical
changes that might be expected for degraded backfill are outside the
scope of the current study and are thus not addressed in this model
GDF system. The sand was washed and sonicated in ultrahigh quality
water (18 MΩ) five times to remove any existing impurities and
oven-dried for 24 h prior to use. The NRVB material was prepared by
mixing 130.1 g of Ordinary Portland Cement, 49.12 g of Ca(OH)2, 143.1 g of CaCO3, and 177.76 mL of water in a
Hobart mixer, giving a w/s ratio of 0.552. It was cured at room temperature
for 28 days and kept sealed prior to use. Duplicate flow cells containing
sand were saturated with 16 mL of pH 5.7, deionized water (18 MΩ)
so that the material plus aqueous phase filled the cell above the
inlet port. A 3 mm depth of solution was maintained above the top
of the material to ensure a uniform pressure head across the flow
field. Identical flow cells were prepared using a pH 10.7 buffer solution
(0.05 M NaHCO3, 0.1 M NaOH). A flow cell containing NRVB
was saturated with 25 mL of deionized water at pH 5.7 (18 MΩ).
The pH within these flow cells quickly equilibrated to pH ∼12.
The porosity calculated from the ratio of solution volume to total
saturated pack volume was 0.37 for sand and approximately 0.77 for
the crushed NRVB, taking into account the internal porosity of the
material itself (estimated as 0.55[21]).
Bulk densities of the porous materials as packed were 1.68 and 1.57
kg dm–3 for sand and NRVB, respectively.
Gamma
Camera Imaging of Technetium-99m in Steady Saturated Flow
Fully constructed, prefilled flow cells were transported to the
Nuclear Medicine Department of the Royal Hallamshire Hospital (Sheffield,
UK) for imaging. Duplicate flow cells were placed <3 cm from the
collimator face. Flow was maintained in the cells at 0.33 mL min–1 using a multichannel peristaltic pump (Watson Marlow,
UK), yielding a calculated pore velocity equal to 4.29 × 10–5 m s–1 for the sand and 2.05 ×
10–5 m s–1 for the NRVB (due to
the greater porosity). The Darcy flux in both cases was 1.5 ×
10–5 m s–1. Flow cells were flushed
with 99mTc-free solution for 20 min to establish uniform
flow conditions prior to injection with 99mTc and subsequent
imaging. Imaging was performed on a dual-headed GE Medical Systems
Infinia gamma camera (GE Medical, Milwaukee, WI, USA) fitted with
a high resolution collimator. A dynamic acquisition with 30 s frame
intervals was initiated a few seconds prior to injection of the 99mTc into the flow cells. Images were acquired with a matrix
size of 256 × 256 resulting in a pixel size of 2.2 mm. The spatial
resolution of the imaging system was measured at the collimator face
using standard NEMA[22] testing techniques
and was found to be 4.6 mm FWHM. This equates to a spatial resolution
of ∼6 mm at the location of the flow cells. Due to the low
spatial resolution, measurements were made at the center of the 99mTc tracer plume.
99mTc Tracer
99mTc as pertechnetate
[Tc(VII)] was produced on-site via saline-based elution of a GE Medical
Systems Drytec 99mTc generator. Approximately 0.2 mL of
dilute 99mTc was drawn into a syringe. This volume gave
an activity of 15–20 MBq at the time of the experiment. This
corresponds to 99mTc concentrations of <1 mM. The activity
in each syringe was accurately measured in a Capintec CRC-15R radionuclide
calibrator. Following injection of the 99mTc into the flow
cells as instantaneous pulses (<1 s injection), the residual activity
in each syringe was measured and this reading was subtracted from
the “full” reading to determine the exact activity injected
into each cell. In all cases, 99mTc activity readings were
decay-corrected to the time the gamma camera acquisition was started
(eq 1, 2):where A0 is the
corrected activity (MBq), At is the uncorrected
activity (MBq), k is the decay constant (s–1), t is the time elapsed (s), and t1/2 is the half-life of 99mTc (21 636
s). For each flow cell, a sensitivity value (counts per MBq) was determined
so that image counts could be related directly to 99mTc
activity. This sensitivity value was calculated by using region of
interest (ROI) analysis to determine the image counts per frame within
the region of the cell, averaged over the first 4 frames following
injection of the radioisotope. During this early period, all the activity
remained in the cell near the inlet. This averaged count value was
then divided by the known activity injected into the cell to yield
a sensitivity factor (eq 3):where Sf is the sensitivity
factor, x̅ci is the mean of the
counts from the
first four frames of image acquisition (counts pixel–1), and A0 is the initial activity (MBq).
This sensitivity factor was applied to all decay-corrected gamma counts
throughout the experiments to yield the concentration C (MBq pixel–1, normalized by the volume of pores
in each pixel to give MBq mL–1) of 99mTc at any location in each time step.
Data Processing and Analysis
Raw image data were calibrated
using the sensitivity factor (eq 3) to give
2-D planar spatial arrays of tracer concentration data at 30 s intervals
for up to 3 h during and after transit of the main mass of 99mTc through the flow cell. Spatial moments in the direction of travel
were calculated at the center of mass of the plume using ImageJ software.[23] Calibrated concentration maps showing contours
of 99mTc mass within the flow cells were produced by interpolation
of the 2-D data arrays using Surfer 9.0 software (Golden software,
CA). The transport of the 99mTc through the uniform saturated
flow field was modeled using a one-dimensional (1-D) convection–dispersion
equation for reactive solute transport (eq 4):where, subject to specified
initial and boundary
conditions, C is the aqueous concentration of a tracer
at a given distance along the center of mass from inlet x (m) and elapsed time t (s), μ (s–1) is a first-order decay coefficient describing irreversible removal
from the mobile aqueous phase, R is a retardation
factor describing equilibrium interaction with the solid phase, and D is a dispersion coefficient equal to the product of the
longitudinal dispersivity λ (m) and mean pore flow velocity, Vp (m s–1). A numerical solution
to eq 4 was implemented in inverse (parameter-fitting)
mode in Excel-CXTFIT software[24] to yield
transferable parameters describing the transport of the radionuclide
in the Ottawa quartz sand and NRVB.
Results and Discussion
99mTc Transport within Ottawa Quartz Sand
Figure 3a–d shows the calibrated concentration
distribution data for 99mTc transport through the Ottawa
sand at pH 5.7, at 8 (0.29), 16 (0.58), 24 (0.87), and 32 (1.16) minutes
after injection. Values in parentheses and all time data thereafter
are expressed in pore volumes (PV), where time is normalized by the
transit time of a volume of solution equal to the volume of void spaces
in the sand. Under the conditions of these experiments, 1 PV was equivalent
to 1650 s (27.5 min) of travel time. The 99mTc tracer passed
through the saturated sand as well-defined plumes with peak concentrations
in the center approximately 10 ± 2 MBq mL–1. Figure 4 shows the total 99mTc
activity measured in the sand as a function of time for experiments
at pH 5.7 and 10.7. Total activity decreased rapidly around 1 PV,
as expected for conservative transport. This behavior was highly reproducible
for experimental runs at both pH 5.7 and 10.7. Residual activities
measured after 2 PV (not shown) were less than 1% of the total activity
injected and were not significantly different from zero, taking into
account the assumed measurement error quantified by the standard deviation
(±1%) for total activity measurements made between 0.25 and 0.5
PV.
Figure 3
Calibrated concentration distribution from gamma camera images
of 99mTc activity in Ottawa quartz sand in a pH 5.7 solution
at (a) 0.29 PV (8 min), (b) 0.58 PV (16 min), (c) 0.87 PV (24 min),
and (d) 1.16 PV (32 min) and in Nirex Reference Vault Backfill at
(e) 0.3 PV (20 min), (f) 0.6PV (40 min), (g) 0.9 PV (60 min), and
(h) 1.2 PV (80 min).
Figure 4
Total measured activity of 99mTc (normalized to input
activity) as a function of time (expressed as PV, normalized to flow
rate) during transport through Ottawa quartz sand S1 and S2 at pH
5.7 and S3 at pH 10.7 and NRVB.
Calibrated concentration distribution from gamma camera images
of 99mTc activity in Ottawa quartz sand in a pH 5.7 solution
at (a) 0.29 PV (8 min), (b) 0.58 PV (16 min), (c) 0.87 PV (24 min),
and (d) 1.16 PV (32 min) and in Nirex Reference Vault Backfill at
(e) 0.3 PV (20 min), (f) 0.6PV (40 min), (g) 0.9 PV (60 min), and
(h) 1.2 PV (80 min).Total measured activity of 99mTc (normalized to input
activity) as a function of time (expressed as PV, normalized to flow
rate) during transport through Ottawa quartz sand S1 and S2 at pH
5.7 and S3 at pH 10.7 and NRVB.
99mTc Transport within NRVB
Figure 3e–h shows calibrated concentration distributions
for 99mTc transport in NRVB at 0.3, 0.6, 0.9, and 1.2 PV.
Due to the lower pore velocities in NRVB than in sand, 1 PV was equivalent
to 4300 s (71.5 min) of travel time. 99mTc was transported
through the NRVB in an elongate but still coherent plume. The peak
concentration at 0.3 PV was 12 MBq mL–1, measured
at ∼3 cm from the injection point. After 0.6, 0.9, and 1.2
PV, the peak concentrations were measured as 10, 9, and 8 MBq mL–1, respectively, at ∼4, 5.5, and 6 cm from the
tracer injection point (Figure 3).The
total 99mTc activity measured in the NRVB as a function
of time is shown in Figure 4. As in sand, total
activity decreased broadly symmetrically around 1 PV, indicating conservative
transport with longitudinal dispersion. Residual activity at the end
of the measurement period was less than 2% of the initial activity
and not significantly different from zero, taking into account variability
in the image data quantified as noted above.
Numerical Modeling of 99mTc Transport Parameters
99mTc activity
was summed across horizontal pixel rows
(normal to the vertical direction of transport through the cells)
to yield concentration profiles which could be expressed as a function
of distance from inlet or time since tracer injection. These data
were fitted with the 1-D convection–dispersion model (eq 4). In individual experiment runs S1–S3 and
N1–N2 (Table 1), the model was regressed
to concentration profiles measured at five distances from the inlet
simultaneously, using the linear least squared error method.[24] The best fit model parameters for each experiment
condition are shown in Table 1; irreversible
sorption parameter μ was never larger than zero and is therefore
not tabulated. Figure 5a compares data from
an individual experiment run in sand with the output from the model
run in forward mode for the same distance intervals, using averages
of the parameter values shown in Table 1. The
correlation between the model and data is very strong (r2 = 0.98). Figure 5b shows equivalent
data and model output (r2 = 0.99) for
NRVB.
Table 1
Modelled Transport Parameters for 99mTc
under Uniform Flow through Saturated Quartz Sand and
NRVB
solution
pH
sorption
coefficient, Kd, ×10–5 (m3 kg–1)
media
run
start
end
injected activity
(MBq)
velocity ×10–5 (m s–1)
dispersivity, λ, ×10–5 (m)
retardation, R
M1
M2
M3
sand
S1
5.7
5.8
15.02
4.24 ± 0.43
0.96 ± 0.07
1.00 ± 0.01
1.19
0.29 ± 0.08
0.13
S2
5.7
5.8
11.29
4.23 ± 0.43
1.05 ± 0.08
1.02 ± 0.01
S3
10.7
10.7
16.62
4.24 ± 0.17
0.90 ± 0.01
1.02 ± 0.00
NRVB
N1
12
12
13.32
1.64 ± 0.50
3.30 ± 1.10
1.08 ± 0.38
1.27
6.90 ± 25.50
4.85
N2
12
12
24.80
1.65 ± 0.43
3.49 ± 0.85
1.05 ± 0.28
Figure 5
Best fit numerical regression of a convection–dispersion
model (lines) to measured 99mTc concentrations (data points)
in (a) Ottawa quartz sand and (b) NRVB material at several distances
from the inlet during uniform saturated flow.
Best fit numerical regression of a convection–dispersion
model (lines) to measured 99mTc concentrations (data points)
in (a) Ottawa quartz sand and (b) NRVB material at several distances
from the inlet during uniform saturated flow.The parameters obtained from
numerical modeling of 99mTc transport in sand (Table 1) strongly indicate
conservative transport (R = 1) of the 99mTc through the Ottawa quartz sand. This conclusion is supported by
independent spatial moments analysis of the calibrated image data
(Figure 6), which yields a mean velocity for
the center of mass of the 99mTc plumes in sand of 4.32
× 10–5 m s–1. The transport
velocity for the 99mTc was therefore not significantly
different from the pore velocity in the quartz sand (4.29 × 10–5 m s–1) calculated a priori. In
contrast, both spatial moments and numerical modeling yielded the
same mean transport velocity for 99mTc transport through
NRVB, 1.64 × 10–5 m s–1,
which was slower than the calculated pore velocity based on the internal
and boundary conditions of the experiment (2.05 × 10–5 m s–1). This may be due to errors in estimation
of the internal pore structure of the NRVB which may be discontinuous,
creating regions of low flow or immobile pore water. While R remained close to 1 indicating conservative transport,
the longitudinal dispersivity, λ, for NRVB was 0.0033 m, more
than three times that modeled in sand.
Figure 6
Tracer plume center of
mass (CoM, first spatial moment in the direction
of flow) plotted as a function of calculated water movement for 99mTc transport through Ottawa quartz sand and NRVB. Dashed
line indicates direct y = x correlation.
Data are averages of experimental replicates.
Tracer plume center of
mass (CoM, first spatial moment in the direction
of flow) plotted as a function of calculated water movement for 99mTc transport through Ottawa quartz sand and NRVB. Dashed
line indicates direct y = x correlation.
Data are averages of experimental replicates.
Estimation of Sorption Coefficients from Tc Transport Data
The sorption of solutes to a solid phase is often described by
an equilibrium linear sorption coefficient Kd (m3 kg–1) estimated from batch
experiments, which contain a known volume of solution, concentration
of solute, and mass of solid phase, yielding (eq 5):where C0 and Cs are, respectively,
the initial solute concentration
in solution and final equivalent concentration on the solid phase, m (kg) is the mass of solid phase, and V (m3) is the volume of the fluid. We approximated these
parameters by normalizing the known input activity and the observed
retained activity by the volume and mass of porous media in the flow
chamber, to obtain an estimate for Kd (we
denote this method M1). For reactive transport through porous media
and assuming that surface reactions occur sufficiently rapidly relative
to transport that equilibrium can be achieved, Kd can also be related both to the retardation factor R in the convection–dispersion equation (denoted
method M2) and to the ratio of mean transport velocities obtained
from spatial moments analysis (method M3) by eq 6:[25]where ε is the porosity,
ρb is the bulk density (kg m–3)
of the porous
media, and VTc is the mean velocity of
mass flux (m s–1). We estimated Kd by all three methods M1–M3 (Table 1).Estimated sorption coefficients for both sand and
NRVB were small, of the order 10–5 m3 kg–1, which is consistent with the transport parameters
obtained from the convection–dispersion modeling and the observed
low retention of 99mTc in the sand after 2 PV. Although
the model-derived errors associated with NRVB were relatively large, Kd as estimated by all three methods was consistently
greater in NRVB (approximately an order of magnitude) than in sand
(Table 1). We reiterate that Kd as calculated assumes equilibrium in the underlying
sorption reactions; however, we cannot confirm this with the data
reported here and, as such, our values may be biased toward underestimation.
We do note, however, the empirical observation that after a relatively
short period of flushing of the mobile 99mTc plume from
the flow chamber, less than 1–2% remained suggesting that the
sorption that does occur within the transit time of the plume may
be readily and rapidly reversible when solute concentrations return
to zero, for both materials under these experimental conditions. We
are also aware of the possibility that some irreversible sorption
(1–2%) may occur as it is hard to rule out this condition without
sorption capacity measurements.
Applicability of Quantitative
γ-Imaging Transport of Radionuclides
and Other Contaminants in Opaque Media
In the interpretations
that follow, we recognize that several assumptions and simplifications
have been made in the model GDF systems investigated. These have been
made in order to demonstrate the applicability of the gamma imaging
technique to radionuclide transport in a GDF and, as such, provide
the basis for future detailed experimentation.The limited retardation
(R ≈ 1) interpreted using the model, very
low estimated Kd obtained with the different
methods, and the minimal retention of 99mTc in the sand
at the end of the experiments imply closely conservative transport
of 99mTc through Ottawa sand. Although this is the first
time that this has been confirmed directly, it is not an unexpected
result. The point of zero charge (PZC) of Ottawa sand is between pH
2 and 5,[26] so at the pH of these experiments
(>5.7), the sand surface is negatively charged. Since the pertechnetate
anion (TcO4–) is also negatively charged,
chemical sorption is therefore impeded by repulsive electrostatic
interactions between the Tc and sand. This indicates that Tc(VII)
may be transported freely in environments where the substrate has
only negatively charged surfaces. Such pure-phase interactions are
a simplification of natural environments, especially where significant
quantities of Fe(II) or other minerals capable of reducing Tc(VII)
to the less mobile and less soluble Tc(IV) are present or in environments
where microbially mediated reactions may take place to alter the oxidation
state of technetium. Nevertheless, these results highlight the utility
of quantitative measurements of transport parameters for Tc(VII) in
opaque porous media, that may be applied to substrate related to GDF
concepts (e.g., clay, host rock).We have shown that it is possible
to obtain quantitative transport
data using the gamma imaging technique in opaque engineered backfill
material. Pertechnetate transport in NRVB in our GDF-proxy experiments
was closely conservative, i.e., our data pertaining to 99mTc transport in this material showed no significant retardation and
very low sorption coefficients. Previous studies have suggested low
sorption coefficients for Tc(VII) in batch experiments using aged,
crushed NRVB,[27,28] and our study indicates, for
the first time using quantitative imaging, that such observations
may translate into a significant potential for transport of 99Tc(VII) through a backfill candidate material in a model flowing
groundwater system. Despite the low spatial resolution of the gamma
images, 99mTc transported through NRVB exhibited a greater
dispersivity and slower transport velocity than in sand. This is likely
due to the very high internal porosity. Discontinuities in the internal
structure may create significant immobile (very low flow) zones within
the pore space. Further work on NRVB will explore the use of a mobile-immobile
(MIM) transport model (e.g., Tang et al.[24]), to better elucidate the dynamics of solute transport through this
material.The quantitative gamma imaging technique described
in this paper
represents a rapid and convenient method for obtaining transport data
for 99mTc. The main advantage of this technique is that
quantitative images can be obtained in opaque media; it is possible
to see the retained mass as a function of time and space, allowing
for a direct visual quantification of transport parameters. Furthermore,
in experiments where the sorption can be controlled for, it may be
possible to visualize and quantify sorption. This multitude of information
is such that transport models, such as CXTFIT used here to test and
validate the methodology, may not be required to derive transport
parameters. High spatial resolution is important to gain an accurate
measurement of dispersivity. The spatial resolution presented in this
methodology was relatively low (6 mm), largely as an artifact of the
spatial constraints placed upon using a working hospital camera. However,
higher spatial resolution, and thus accurate dispersivity measurements,
should be possible, depending upon the quality of the instrument and
proximity to the collimator.Quantitative gamma imaging has
several potential applications to
contaminant transport in opaque media. In the context of geological
disposal of nuclear waste, the transport of 129I from the
waste and through the engineered barrier is a key concern due to its
long half-life (15.7 × 106 years), high solubility,
and poor sorption.[27−29] Gamma imaging coupled with the γ-emitting 123I radiotracer could be used to develop an understanding
of iodine transport behavior and thus support engineered barrier material
design. Because the gamma camera can detect ultratrace concentrations
of radionuclides, several gamma-emitting isotopes could also be used
to nondestructively quantify the transport of environmental contaminants
in soil, such as chromium (51Cr) or mercury (203Hg). This highlights the potential versatility of the technique,
applicable to a wide range of scenarios as a novel tool to understand
the spatial and temporal dynamics of the geochemistry of a variety
of radiotracers in opaque media.
Authors: Yu Yang; James E Saiers; Na Xu; Stefan G Minasian; Tolek Tyliszczak; Stosh A Kozimor; David K Shuh; Mark O Barnett Journal: Environ Sci Technol Date: 2012-05-14 Impact factor: 9.028
Authors: Richard S Cutting; Victoria S Coker; Neil D Telling; Richard L Kimber; Carolyn I Pearce; Beverly L Ellis; Richard S Lawson; Gerrit van der Laan; Richard A D Pattrick; David J Vaughan; Elke Arenholz; Jonathan R Lloyd Journal: Environ Sci Technol Date: 2010-04-01 Impact factor: 9.028
Authors: Charles J Werth; Changyong Zhang; Mark L Brusseau; Mart Oostrom; Thomas Baumann Journal: J Contam Hydrol Date: 2010-01-28 Impact factor: 3.188
Authors: Gavin Lear; Joyce M McBeth; Christopher Boothman; Darren J Gunning; Beverly L Ellis; Richard S Lawson; Katherine Morris; Ian T Burke; Nicholas D Bryan; Andrew P Brown; Francis R Livens; Jonathan R Lloyd Journal: Environ Sci Technol Date: 2010-01-01 Impact factor: 9.028