Abstract
Procedures for removing harmful radiation from interior and exterior surfaces of homes and businesses after a nuclear or radiological disaster may generate large volumes of radiologically contaminated waste water. Rather than releasing this waste water to potentially contaminate surrounding areas, it is preferable to treat it onsite. Retention barrels are a viable option because of their simplicity in preparation and availability of possible sorbent materials. This study investigated the use of aluminosilicate clay minerals as sorbent materials to retain 137Cs, 85Sr and 152Eu. Vermiculite strongly retained 137Cs, though other radionuclides displayed diminished affinity for the surface. Montmorillonite exhibited increased affinity to sorb 85Sr and 152Eu in the presence of higher concentrations of 137Cs. To simulate flow within retention barrels, the vermiculite was mixed with sand and used in small-scale column experiments. The GoldSim contaminate fate module was used to model breakthrough and assess the feasibility of using clay minerals as sorbent materials in retention barrels. The modelled radionuclide breakthrough profiles suggest that vermiculite-sand and montmorillonite-sand filled barrels could be used for treatment of contaminated water generated from field operations.
Keywords: radionuclides, retention, breakthrough, vermiculite, cesium
Graphical Abstract

1.0. Introduction
Atmospherically-deposited radionuclides, resulting from a nuclear or radiological disaster (i.e. nuclear reactor meltdown, dirty bomb), should be rapidly removed from interior and exterior surfaces of homes and businesses to reduce exposure.[1–6] Radionuclides can be disseminated long distances in contamination plumes from the disaster site.[7, 8] Of the long lived radionuclides, 137Cs is generally the most abundant, making it a primary concern in mitigation procedures.[8–11] In addition, 90Sr and low levels of transuranic radionuclides (i.e. 241Am) have been detected in nuclear fallout and should be considered when developing practices.[11, 12] Initially, the removal of dust and debris is prescribed as an early course of action to remove radioactive particulate matter from surfaces.[13–15] However, wet deposited radionuclides, especially those that are positively charged (137Cs, 90Sr, 241Am), are subject to ion exchange reactions with building materials.[16–18] Exchanged radionuclides can be removed by washing building surfaces with water or concentrated salt solutions.[9, 17, 19] Washing procedures can result in a large quantity of contaminated wastewater, which, if left untreated, can spread radiological contamination to surrounding areas.[1, 6, 20] A potential technique to manage this wash water is the treatment of dissolved radionuclides using sorbent materials located inside retention barrels. These barrels would contain sorbent materials that retain dissolved radionuclides while allowing wash water to flow through. The barrels with contaminated solids can then be easily transported and properly disposed. The sorbents utilized within the barrels must be widely available, economical, and have a high selectivity to sorb dissolved radionuclides from backgrounds containing other inorganic cations.
Aluminosilicate clay minerals are naturally abundant, widely available minerals that often have high, non-pH dependent, cation exchange capacity (CEC) and a high selectivity for cationic radionuclides.[21, 22] For example, illite has high specificity to sorb 137Cs from aqueous solutions due to a collapsed interlayer and a higher amount of isomorphic substitutions in the silicon oxide layer.[23, 24] The silicon oxide layer substitutions are located closer to the surface for 2:1 clays; which decreases the area over which the charge is spread, focusing the charge over only three adjacent surface oxygen atoms.[22, 25, 26] The interaction energy is far greater between focused charge sites and ions that can shed hydration shells, creating a natural selectivity for 137Cs or similar ions.[22, 25, 26] However, this process occurs within the collapsed interlayer, making it is kinetically slow compared to electrostatic interactions between dissolved cationic radionuclides and other clays.[23, 24, 27] Therefore clay minerals without a collapsed interlayer may be preferable as sorbents deployed in retention barrels, since contact time is limited in flow through applications.
The fully hydrated interlayers of vermiculite and montmorillonite clay minerals may result in fewer limitations due to kinetic effects during cationic radionuclide uptake.[28, 29] The main differences between vermiculite and montmorillonite are the abundance and placement of isomorphic substitutions.[22, 25, 26] Montmorillonite has more aluminum oxide substitutions, resulting in less focused charge sites and CECs ranging from 75 to 90 meq/100 grams.[22, 25, 26] Sorption coefficients to montmorillonite can vary drastically for cationic radionuclides depending on the identity and abundance of background cations.[21, 30, 31] For instance, sorption coefficients of 137Cs onto montmorillonite with calcium as the dominant ion are 10 times lower than those with potassium or sodium as the dominant exchange ion at background concentrations lower than 10 mM.[21] Vermiculite, on the other hand, displays less of these effects as most of the substitutions occur in the silicon oxide layer near the surface similar to illite.[22, 25, 26, 32, 33] The high energy of interaction between focused charge groups of vermiculite and 137Cs increases the selectivity of the clay.[32] However this selectivity decreases the sorption coefficient for other radionuclides on vermiculite, including 90Sr and 241Am, especially in the presence of 137Cs.[34, 35] Lower sorption coefficients indicate decreased retention of these radionuclides if vermiculite is the clay mineral deployed in the retention barrels. Additionally, the swelling nature of montmorillonite and vermiculite decreases their hydraulic conductivity, restricting the flow in the retention barrel.[36] A possible, readily available, solution to this problem is mixing the clay minerals with sand (which has high hydraulic conductivity but low CEC) to allow both flow and radionuclide retention. The presence of such a mixture, however, greatly complicates retention barrel design. Predictive models must be used to initially assess operational parameters, such as the relative amount of aluminosilicate minerals and sand needed in a retention barrel.
This study aims to evaluate vermiculite and montmorillonite as possible sorbent materials for use in retention barrels prior to large-scale testing. Removal of 137Cs was the primary goal, however, 85Sr, and 152Eu were also studied. 85Sr and 152Eu were served as radioactive surrogates for 90Sr and 241Am respectively because of detection and waste classification issues. Radiochemicals were exclusively utilized to enable low contaminant concentrations without detection limit issues and to fully account for competition effects with other salts present in retention barrel water. The Goldsim contaminant fate module was employed to predict field-scale operational parameters.
2.0. Experimental
2.1. Materials
137Cs, 85Sr, and 152Eu were obtained from Perkin Elmer (MA, USA). Vermiculite was from Specialty Vermiculite (Grace vermiculite: SC, USA) and the Strong Company (Strong vermiculite: AR, USA). Montmorillonite was from the American Colloid Company (Volcay 205x: IL, USA), Across Organics (K10 montmorillonite: MA, USA) and the Clay Minerals Society (Wyoming montmorillonite: Wyoming, USA). Sand was obtained from New Plant Life (IA, USA). All solids were used as received. Tap water (pH 7.5± 0.3) is supplied and routinely analyzed at the DuPage County Department of Public Works. At the time of the experiments a sample was analyzed for metals by ICP-MS (Table 1).
Table 1.
Concentrations of metals in tap water detected by ICP-MS (µmol/L)
| Metal | Na | Mg | Al | K | Ca | Fe | Sr | Cs | Ba |
|---|---|---|---|---|---|---|---|---|---|
|
Concentration (µmol/L) |
342 ± 34 |
473 ± 47 |
1.4 ± 0.2 |
37 ± 4 |
833 ± 83 |
0.76 ± 0.7 |
1.4 ± 0.1 |
< 0.01 | 0.15 ± 0.02 |
2.2. Batch Experimental Methods
Sorption experiments to all clays were performed for 137Cs with a solid-to-water ratio of 1 mg/mL. 1.5 mL reactors were set up in duplicate with initial 137Cs radioactivites of 824 μCi/L (0.07 μM). Initial 137Cs concentrations were designed to keep sorbed concentrations well below 1% surface coverage of the clay with the lowest CEC (Wyoming montmorillonite: 0.76 meq/ 100g) while keeping aqueous concentrations above the limit of detection. Sorbed concentrations below 1% of the CEC have previously shown not to be influenced by isotherm non-linearity, thus keeping point sorption coefficients within the linear range.[37, 38] To keep solid–to-water ratios constant throughout the experiment, 350 µL aliquots of the clay-solution mixtures were taken at time intervals of approximately 1, 10, 30, and 60 min. These aliquots were centrifuged at 3500 rpm for 3 min with 200 µL of supernatant removed for analysis of aqueous concentration (Cw) by gamma-counting. The “contact time” was defined as the time when the 200 µL aliquot was removed. Non-equilibrium sorption coefficients (Kd’) were calculated at each contact time:
Where Cw’ refers to the aqueous concentration and Cs’is the sorbed concentration at contact time.
Additional batch experiments were performed to understand competition effects on sorption of 137Cs, 85Sr, and 152Eu to Grace vermiculite, Volcay 205x, and sand. Sorption experiments to clay minerals were performed with solid loadings of 1 mg/mL, while sorption to sand was performed at 100 mg/mL. Experiments included each radionuclide sorption independently, 137Cs and 85Sr together, and equal radioactivities of all present, each in tap water background. Radionuclide stock solutions and tap water were added to achieve desired radioactivities (300 μCi/L) in triplicate and were designed to keep total sorbed concentrations below 1% of the CEC. Samples were mixed for 2 hours then centrifuged at 3500 rpm for 3 minutes. Duplicate 100 μL aliquots were taken for analysis of equilibrium aqueous concentration (Cw) by gamma counting (WIZARD2 Automatic Gamma Counter, Perkin Elmer). Detection windows were 580–750 keV, 445–580 keV and 300–388 keV for 137Cs, 85Sr, and 152Eu, respectively. The sorbed concentration, Cs (mol/kg), was calculated by difference and the sorption coefficient (Kd) was determined:
A control set with no sorbent addition verified there was no sorption onto tubes. All experiments were performed at room temperature.
2.3. Column Experiments
A polypropylene column with 2.54 cm (1 in) ID and 25.4 cm (10 inch) length was packed with a homogeneous mixture containing 250 mg of vermiculite and 100 g of sand. The column contained two outlets, one on the center line (middle 1.27 cm ID) and one on the outer edge, which were separated by a 1.27 cm tall divider. Two outlets were used to ensure that flow was not channeled on the outside of the column. Column experimental flow rates were determined as the sum of the flowrates for both outlets over a period of time. For pulse experiments, spikes of 0.5mL containing 25 or 10 µCi of either 137Cs or 85Sr respectively were injected into a pre-wet column. A solution containing 0.14 µCi/L of both 137Cs and 85Sr in tap water was used for the continuous input experiments. Flow was kept constant using a Mariotte bottle, and samples were taken every 20–30 minutes from the outer and inner outlet in duplicate for 9 hrs. Concentrations were determined by gamma counting 1 mL of each sample.
2.4. Modeling Methods
GoldSim contaminant fate module (version 11.1 [39]), designed for the transport of radionuclides in an aquifer, was used to model radionuclide breakthrough using only available or easily obtainable parameters. Darcy’s law using the hydraulic conductivity of sand and the clay minerals was the basis of predicting flow through the column, and radionuclide retention in the column was predicted using the sorption coefficients derived in the batch sorption tests. Only three solid parameters (porosity, hydraulic conductivity, bulk density) were used (Table 2). Dispersivity was assumed to match that of a sandy aquifer (0.073 m).[40] The GoldSim contaminant fate module is detailed elsewhere.[41, 42]
Table 2.
Bulk densities, porosities and hydraulic conductivities for the solids used to model breakthrough curves (from ref. [43])
| Solid | Bulk Density (g/cm3) | Porosity | Hydraulic Conductivity (cm/sec) |
|---|---|---|---|
| Vermiculite | 1.1 | 0.58 | 1×10−10 |
| Sand | 1.8 | 0.6 | 0.03 |
| Montmorillonite | 1.1 | 0.58 | 1×10−10 |
3.0. Results and Discussion
3.1. Clay selection for cesium removal from tap water
At low contact times K10 montmorillonite had higher sorption coefficients than the other clays studied, likely arising from the difference in exchange ion on K10 montmorillonite (Figure 1). K10 montmorillonite is an acid treated reaction catalyst, and therefore some of the natural exchange ions are replaced with H+ ions.[44] Protons are seemingly less subject to kinetic effect when desorbing from the clay surface, increasing sorption coefficients at low contract times. However, the presence of exchangeable protons causes concern for the consistency of sorption coefficients as more protons are exchanged with other inorganic cations in the tap water. Additionally, K10 montmorillonite displayed lower sorption coefficients at longer contact times; therefore K10 montmorillonite was eliminated as a possible sorbent for use in retention barrels.
Figure 1.

137Cs non-equilibrium sorption coefficients (Kd’) as a function of contact time, to Grace vermiculite (black squares), Strong vermiculite (grey squares), K10 montmorillonite (black triangles), Wyoming montmorillonite (black circles), and Volcay montmorillonite (grey circles) show that K10 montmorillonite has higher sorption coefficients at short contact time, while sorption coefficients to vermiculite are higher at longer contact times.
Vermiculite demonstrated a higher affinity to sorb 137Cs than montmorillonite. Sorption coefficients (Kd’) of 137Cs to the two vermiculites (Grace and Strong) were higher than those of the montmorillonite studied (Figure 1). Vermiculite has more isomorphic substitutions in the tetrahedral layer increasing the selectivity for ions that have the ability to shed their hydration shells, such as 137Cs. The increased selectivity results in increased sorption coefficients compared to montmorillonite, which has more isomorphic substitutions in the octahedral layer. Therefore vermiculite is a promising sorbent material when 137C was the only radionuclide of interest. However, how the selectivity of vermiculite influenced sorption of other radionuclide, especially in the presence of 137Cs, still needed investigation.
3.2. Competition between radionuclides
Each radionuclide sorbed differently to vermiculite, where 137Cs sorbed strongest, followed by 152Eu and 85Sr (Table 3). This order deviates from the cation selectivity series for clay minerals,[45, 46] where multivalent cations 85Sr2+ and 152Eu3+ (at neutral pH) are expected to have higher affinities for vermiculite than 137Cs+. The lower affinity of 85Sr is likely caused by the large decrease in concentration (7 orders of magnitude) at the same radioactivity for 85Sr. The increased disintegrations per time period lead to lower concentrations of 85Sr, that result in the same radioactivity as the other radionuclides studied. The lower concentration causes a reduction in sorption coefficients in the presence of higher relative concentrations of the other inorganic cations in tap water. 152Eu, however, has at a higher concentration compared 137Cs, indicating a variation for the selectivity series between these two radionuclides. The smaller ionic radius of 152Eu increased the hydration energy of the ion, inhibiting the removal of its hydration shell, and prevents the formation inner sphere interactions with the focus charge sites of vermiculite. [45, 47] Both 85Sr and 152Eu display decreased sorption to vermiculite due to their inability to shed hydration shells causing the charge to be spread over the entire hydrated radius.[48, 49]
Table 3.
Sorption coefficients (mL/g) for 137Cs, 85Sr, and 152Eu onto vermiculite, montmorillonite, and sand either alone in solution or in the presence the other radionuclides.
| Vermiculite |
|||
|---|---|---|---|
| Radionuclide Only | 137Cs and 85Sr | All Present | |
| 137Cs | 4000 ± 340 | 3600 ± 280 | 1170 ± 40 |
| 85Sr | 600 ± 70 | 62 ± 6 | 31 ± 2 |
| 152Eu | 1550 ± 10 | N/A | 390 ± 10 |
| Montmorillonite | |||
| 137Cs | NP | 670 ± 10 | 640 ± 10 |
| 85Sr | 250 ± 60 | 230 ± 20 | 230 ± 10 |
| 152Eu | NP | N/A | 730 ± 10 |
| Sand | |||
| 137Cs | 1.9 ± 0.1 | 0.4 ± 0.1 | 0.3 ± 0.1 |
| 85Sr | 0.4 ± 0.1 | ND | ND |
| 152Eu | ND | N/A | 1 ± 0.1 |
NP = Not performed; ND = No sorption detected
Focused surface charge sites also limit the ability of vermiculite to sorb 85Sr in the presence of 137Cs and 152Eu. Decreased concentrations and less favorable sorption sites cause the affinity of 85Sr for the surface to be drastically reduced in the presence of 137Cs. Sorption of 85Sr decreases by a factor of 10 in the presence of 137Cs and sorbs even more weakly in the presence of both 137Cs and 152Eu (Table 3). 152Eu also shows a distinct decrease in sorption coefficient when in the presence of 137Cs and 85Sr. 137Cs shows little difference in sorption in the presence of 85Sr and a slight decrease in the presence of both 85Sr and 152Eu (Table 1). One positive aspect of this phenomenon is that 137Cs contamination may be the more widespread of the long-lived radionuclides from radiological releases, making vermiculite a convincing option for the sorbent employed in retention barrels. However, the reduced ability for vermiculite to sorb 85Sr in the presence of 137Cs is troubling. Therefore, montmorillonite was investigated as a possible sorbent to increase retention 85Sr.
Montmorillonite demonstrated increased ability to sorb 85Sr in the presence of 137Cs. (Table 1). 85Sr displayed lower sorption coefficients to montmorillonite in comparison to vermiculite, which is expected because of the lower CEC of montmorillonite. However in the presence of 137Cs, 85Sr had a larger sorption coefficient to montmorillonite than vermiculite (Table 1). The defocused nature of the charge sites on montmorillonite, arising from substitutions in the aluminum oxide layer, decreased its preference for inner sphere interactions, allowing the multivalent, outer sphere sorbing ions to compete with 137Cs.[26, 50] 152Eu also showed increased affinity to montmorillonite in the presence of 137Cs, while the addition of 152Eu did not decrease 85Sr sorption. The ability of montmorillonite ability to sorb 85Sr, especially when it is at vastly lower concentrations than other radionuclides, suggests it may be a viable option for retention barrel sorbent material at locations where 137Cs and 85Sr are both present.
3.3. Column experiments
Column experiments enabled validation of breakthrough modeling. Vermiculite was chosen as the sorbent material for small-scale model experiments due to the potential prevalence of 137Cs in nuclear and radiological releases. The difference in sorption between 137Cs and 85Sr on vermiculite permitted us to assess the ability of the model to predict large differences in retention. In fact, for the purposes of the scope of this study – to investigate the model for its application to retention barrels – this made vermiculite the preferred material to utilize. Namely, once the important model parameters are established through the use of the more challenging case of vermiculite, they can be applied to montmorillonite. Separate montmorillonite-only or montmorillonite-vermiculite mix columns were beyond the scope of this study
Breakthrough was well modeled for both pulse and continuous inputs (Figure 2). Batch experiments to sand showed little sorption (Kd ≤ 2, Table 1); therefore, vermiculite was the dominant sorbent in the column. No differences in concentrations were observed between the inner and outer flow paths suggesting a homogenous mixture with minimal channeling. Flow rates matched (within 10%) those predicted by Darcy’s Law using the physical characteristics of the vermiculite and sand (Table 2). Pulse breakthrough curves for both 137Cs and 85Sr showed considerable tailing attributed to local hydrodynamic dispersion, which always increases in the direction of fluid velocity in a forced gradient system.[51–53] As expected, 137Cs was better retained on vermiculite with 85Sr showing little retention (Figure 2A). Pulse experiments were well modeled (average absolute error = 0.007 µCi/L) using the individual batch Kd values of vermiculite and sand for 137Cs and 85Sr, and a dispersivity value in sandy aquifers from the literature.[40] Column experiments seemingly reached equilibrium. Isotherm non-linearity was assumed not present because modeling captured the breakthrough without incorporating these effects. Continuous input of both 137Cs and 85Sr followed the same trend. Retention was modeled well (average absolute error = 0.009 µCi/L) using Kd values from the corresponding batch experiments (Figure 2B). The slight difference in breakthrough volume between pulse and continuous inputs experiments was attributed to the increased concentration gradient in pulse input experiments causing increased diffusion, which was captured in predictive models. The ability of the model to capture the different breakthrough curves with no parameters, besides Kd, which were experimentally determined, demonstrates its robustness and suggests its use in field scale projections.
Figure 2.
Breakthrough curves for individual pulse inputs (A) and combined continuous input (B) of 137Cs (black squares) and 85Sr (gray triangles) on a vermiculite/sand column with corresponding model output (137Cs: black line, 85Sr: grey line)
3.4. Field Scale Projections
Modeling provided a baseline estimate for full-scale application of a retention barrel using vermiculite and montmorillonite to treat wash water containing dissolved radionuclides. Pulse inputs of contaminants were modeled because it demonstrated a faster breakthrough time in the small-scale testing. In GoldSim, we constructed a 55-gallon (208 L) barrel filled 75% with the solids mixture. The top 25% was used to keep a constant head of water flowing in the barrel. The concentrations of the pulse inputs were kept below 1% of the total CEC in the barrel. However outputs are presented qualitatively to represent breakthrough if radionuclides are only subject to linear sorption coefficients. The general objective in determining proposed mixtures of clay mineral and sand was to retain radionuclides while allowing the highest flow rates. A higher flow rate would allow for faster washing procedures and possible wash water reuse. The proposed vermiculite to sand ratio was 1:3 as 137Cs is strongly retained by vermiculite. Lower amounts of vermiculite were shown to treat wash water while allowing for a higher flowrate. Darcy’s law predicted the flowrate to be 2.6 L/min with breakthrough occurring after 112,000 L were treated (Figure 3A). This volume treated before breakthrough would greatly reduce the amount of contaminated material that needs disposal resulting lower remediation costs.
Figure 3.

(Left) Predicted breakthrough for 137Cs through barrel containing 1:3 mixture vermiculite to sand if concentration are kept below 1% of the clay CEC. Flow rate was predicted to be 2.6 L/min. (Right) Breakthrough curve for 85Sr (black), 137Cs (grey) and 152Eu (black - dashed) through barrel containing 1:1 mixture montmorillonite to sand. Flow rate was predicted to be 1.6 L/min.
The presence of 85Sr further complicated retention barrel design. A higher amount of montmorillonite is needed to prevent breakthrough, in turn limiting the possible flowrate. The three montmorillonite to sand ratios investigated were 1:3, 1:2 and 1:1. Flow rates predicted by Darcy’s Law were 2.5, 2.2, and 1.6 L/min in order of increasing montmorillonite mass. At these flow rates; 85Sr would break through after 5,400, 6,300 and 9,200 L were treated. Flow rates decreased sharply for barrels with montmorillonite to sand ratios greater than 1:1. Therefore, to treat wash water treatment while allowing flow, a ratio of 1:1 montmorillonite to sand is seemingly the best option. In this case, 137Cs would break through after 26,800 L treating followed by 152Eu at 30,500 L treated (Figure 3B). Overall, these predicted treated water volumes suggest retention barrels as a viable method to treat wash water contaminated with these radionuclides.
4. Conclusions
Vermiculite and montmorillonite are seemingly viable options for the use in retention barrels for the treatment of radiologically contaminated wash water. These clay minerals, when mixed with sand, allowed for flow while retaining the radionuclides 137Cs, 85Sr and 152Eu. The high affinity of 137Cs for vermiculite was seemingly caused by the presence of focused charge sites arising from isomorphic substitutions within the tetrahedral layer of the clay. Vermiculite was therefore concluded as a possible sorbent material if 137Cs is the dominant radionuclide of concern. However, other radionuclides, such as 85Sr and 152Eu, may be better treated by montmorillonite, as they displayed increased affinity for montmorillonite especially in the presence of 137Cs. Therefore, montmorillonite may be a viable sorbent material for areas of mixed radiological contamination.
Highlights.
Vermiculite and montmorillonite are proposed for use in retention barrels
Retention barrels retain radionuclides while allowing for wash water flow
Vermiculite demonstrated a high selectivity for 137Cs
Montmorillonite displayed the ability to sorb low concentrations of 85Sr
Acknowledgements
WJ acknowledges funding from ORISE through HS-STEM summer internship. We thank Yifen Tsai for performing ICP analyses of tap water. The U.S. Environmental Protection Agency through its Office of Research and Development partially funded and collaborated with the Technical Support Working Group/Combating Terrorism Technical Support Office in the research described here under Interagency Agreement 92380201. It has been subjected to the Agency’s review and has been approved for publication. Note that approval does not signify that the contents necessarily reflect the views of the Agency. Mention of trade names, products, or services does not convey official EPA approval, endorsement, or recommendation. The submitted manuscript has been created by UChicago Argonne, LLC, Operator of Argonne National Laboratory (“Argonne”). Argonne, a U.S. Department of Energy Office of Science laboratory, is operated under Contract No. DE-AC02–06CH11357. The U.S. Government retains for itself, and others acting on its behalf, a paid-up nonexclusive, irrevocable worldwide license in said article to reproduce, prepare derivative works, distribute copies to the public, and perform publicly and display publicly, by or on behalf of the Government.
References
- [1].Sinkko K, Hamalainen RP, Hanninen R, Experiences in methods to involve key players in planning protective actions in the case of a nuclear accident, Radiat. Prot. Dosimetry 109 (2004) 127–132. [DOI] [PubMed] [Google Scholar]
- [2].Ring JP, Radiation risks and dirty bombs, Health Phys 86 (2004) S42–S47. [DOI] [PubMed] [Google Scholar]
- [3].Conklin C, Edwards J, Selection of protective action guides for nuclear incidents, J. Hazard. Mater 75 (2000) 131–144. [DOI] [PubMed] [Google Scholar]
- [4].Levenson M, Rahn F, Realistic estimates of the consequences of nuclear accidents, Nucl Technol 53 (1981) 99–110. [Google Scholar]
- [5].Paton D, Johnston D, Disasters and communities: vulnerability, resilience and preparedness 10 (2001) 270–277. [Google Scholar]
- [6].Kaminski MD, Lee SD, Magnuson M, Wide-area decontamination in an urban environment after radiological dispersion: A review and perspectives, J. Hazard. Mater 305 (2016) 67–86. [DOI] [PubMed] [Google Scholar]
- [7].Evrard O, Chartin C, Onda Y, Patin J, Lepage H, Lefèvre I, Ayrault S, Ottlé C, Bonté P, Evolution of radioactive dose rates in fresh sediment deposits along coastal rivers draining Fukushima contamination plume 3 (2013). [DOI] [PMC free article] [PubMed] [Google Scholar]
- [8]. J. Simmonds, S. Haywood, G. Linsley, (1982).
- [9].Andersson KG, Chapter 5 Migration of Radionuclides on Outdoor Surfaces 15 (2009) 107–146. [Google Scholar]
- [10].Konoplev A, Bobovnikova TI, Comparative analysis of chemical forms of long-lived radionuclides and their migration and transformation in the environment following the Kyshtym and Chernobyl accidents (1991).
- [11].Bunzl K, Kracke W, Schimmack W, Vertical migration of plutonium-239 −240, americium-241 and caesium-137 fallout in a forest soil under spruce, Analyst 117 (1992) 469–474. [DOI] [PubMed] [Google Scholar]
- [12].Shinonaga T, Steier P, Lagos M, Ohkura T, Airborne plutonium and non-natural uranium from the Fukushima DNPP found at 120 km distance a few days after reactor hydrogen explosions, Environ. Sci. Technol 48 (2014) 3808–3814. [DOI] [PubMed] [Google Scholar]
- [13]. J. Dick, T. Baker Jr, (1961).
- [14].Nisbet A, Brown J, Howard B, Beresford N, Ollagnon H, Turcanu C, Camps J, Andersson K, Rantavaara A, Ikäheimonen T, Decision aiding handbooks for managing contaminated food production systems, drinking water and inhabited areas in Europe 45 (2010) S23–S37. [Google Scholar]
- [15].Nisbet A, Brown J, Jones A, Rochford H, Hammond D, Cabianca T, The UK Recovery Handbook for Radiation Incidents, Version 3, 2009. [Google Scholar]
- [16].Andersson KG, Roed J, Fogh CL, Weathering of radiocaesium contamination on urban streets, walls and roofs, J. Environ. Radioact 62 (2002) 49–60. [DOI] [PubMed] [Google Scholar]
- [17].Samuleev P, Andrews W, Creber K, Azmi P, Velicogna D, Kuang W, Volchek K, Decontamination of radionuclides on construction materials, J. Radioanal. Nucl 296 (2013) 811–815. [Google Scholar]
- [18].Thiessen KM, Andersson KG, Charnock TW, Gallay F, Modelling remediation options for urban contamination situations, J. Environ. Radioact 100 (2009) 564–573. [DOI] [PubMed] [Google Scholar]
- [19].Thiessen KM, Andersson KG, Charnock TW, Gallay F, Modelling remediation options for urban contamination situations, J. Environ. Radioact 100 (2009) 564–573. [DOI] [PubMed] [Google Scholar]
- [20].Kaminski M, Mertz C, Ortega L, Kivenas N, Sorption of radionuclides to building materials and its removal using simple wash solutions (2016).
- [21].Staunton S, Roubaud M, Adsorption of 137Cs on montmorillonite and illite: Effect of charge compensating cation, ionic strength, concentration of Cs, K and fulvic acid, Clays Clay Miner 45 (1997) 251–260. [Google Scholar]
- [22].Matocha CJ, Clay: charge properties 1 (2006) 287. [Google Scholar]
- [23].Comans RN, Hockley DE, Kinetics of cesium sorption on illite, Geochim. Cosmochim. Acta 56 (1992) 1157–1164. [Google Scholar]
- [24].Comans RN, Haller M, De Preter P, Sorption of cesium on illite: non-equilibrium behaviour and reversibility, Geochim. Cosmochim. Acta 55 (1991) 433–440. [Google Scholar]
- [25].Levy R, Shainberg I, Calcium-magnesium exchange in montmorillonite and vermiculite, Clays Clay Miner 20 (1972) 37–46. [Google Scholar]
- [26].Ras RHA, Umemura Y, Johnston CT, Yamagishi A, Schoonheydt RA, Ultrathin hybrid films of clay minerals, Phys. Chem. Chem. Phys 9 (2007) 918–932. [DOI] [PubMed] [Google Scholar]
- [27].Poinssot C, Baeyens B, Bradbury MH, Experimental and modelling studies of caesium sorption on illite, Geochim. Cosmochim. Acta 63 (1999) 3217–3227. [Google Scholar]
- [28].Wu J, Li B, Liao J, Feng Y, Zhang D, Zhao J, Wen W, Yang Y, Liu N, Behavior and analysis of Cesium adsorption on montmorillonite mineral, J. Environ. Radioact 100 (2009) 914–920. [DOI] [PubMed] [Google Scholar]
- [29].Hadadi N, Kananpanah S, Abolghasemi H, Equilibrium and Thermodynamic Studies of Cesium Adsorption on Natural Vermiculite and Optimization of Operation Conditions 28 (2009). [Google Scholar]
- [30].He Q, Walling D, Interpreting particle size effects in the adsorption of 137 Cs and unsupported 210 Pb by mineral soils and sediments, J. Environ. Radioact 30 (1996) 117–137. [Google Scholar]
- [31].Atun G, Bilgin B, Mardinli A, Sorption of cesium on montmorillonite and effects of salt concentration, J. Radioanal. Nucl 211 (1996) 435–442. [Google Scholar]
- [32].Sawhiney B, Selective sorption and fixation of cations by clay minerals: a review, Clays Clay Miner 20 (1972). [Google Scholar]
- [33].Tamura T, Cesium sorption reactions as indicator of clay mineral structures 1 (1963) 229–237. [Google Scholar]
- [34].Konishi M, Yamamoto K, Yanagi T, Okajima Y, Sorption behavior of cesium, strontium and americium ions on clay materials, J Nucl Sci Technol 25 (1988) 929–933. [Google Scholar]
- [35].Šljivić-Ivanović MZ, Smičiklas ID, Dimović SD, Jović MD, Dojčinović BP, Study of Simultaneous Radionuclide Sorption by Mixture Design Methodology, Ind Eng Chem Res 54 (2015) 11212–11221. [Google Scholar]
- [36].Rowe RK, Quigley RM, Brachman RW, Booker JR, Brachman R, Barrier systems for waste disposal facilities, Spon Press, 2004. [Google Scholar]
- [37].Adeleye S, Clay P, Oladipo M, Sorption of caesium, strontium and europium ions on clay minerals, J. Mater. Sci 29 (1994) 954–958. [Google Scholar]
- [38].Cornell R, Adsorption of cesium on minerals: a review, J. Radioanal. Nucl 171 (1993) 483–500. [Google Scholar]
- [39].GoldSim Technology Group, GoldSim RT 111 (2014). [Google Scholar]
- [40].Cadini F, Tosoni E, Zio E, Modeling the release and transport of 90Sr radionuclides from a superficial nuclear storage facility (2015) 1–20.
- [41].Lee Y, Hwang Y, A GoldSim model for the safety assessment of an HLW repository, Prog. Nuclear Energy 51 (2009) 746–759. [Google Scholar]
- [42].Robinson BA, Li C, Ho CK, Performance assessment model development and analysis of radionuclide transport in the unsaturated zone, Yucca Mountain, Nevada, J. Contam. Hydrol 62 (2003) 249–268. [DOI] [PubMed] [Google Scholar]
- [43]. J.A. Tindall, J.R. Kunkel, D.E. Anderson, (1999).
- [44].Ballantine J, Reactions Assisted by Clays and Other Lamellar Solids‐A Survey 26 (1995). [Google Scholar]
- [45].Missana T, Benedicto A, García-Gutiérrez M, Alonso U, Modeling cesium retention onto Na-, K- and Ca-smectite: Effects of ionic strength, exchange and competing cations on the determination of selectivity coefficients, Geochim. Cosmochim. Acta 128 (2014) 266–277. [Google Scholar]
- [46].Bourg IC, Ion exchange phenomena (2012).
- [47].Kogure T, Morimoto K, Tamura K, Sato H, Yamagishi A, XRD and HRTEM evidence for fixation of cesium ions in vermiculite clay, Chem. Lett 41 (2012) 380–382. [Google Scholar]
- [48].Chaussedent S, Monteil A, Molecular dynamics simulation of trivalent europium in aqueous solution: A study on the hydration shell structure, J. Chem. Phys 105 (1996) 6532–6537. [Google Scholar]
- [49].Obst S, Bradaczek H, Molecular dynamics study of the structure and dynamics of the hydration shell of alkaline and alkaline-earth metal cations, J. Phys. Chem 100 (1996) 15677–15687. [Google Scholar]
- [50].Sposito G, Skipper NT, Sutton R, Park S, Soper AK, Greathouse JA, Surface geochemistry of the clay minerals, Proceedings of the National Academy of Sciences 96 (1999) 3358–3364. [DOI] [PMC free article] [PubMed] [Google Scholar]
- [51].Becker MW, Shapiro AM, Interpreting tracer breakthrough tailing from different forced‐gradient tracer experiment configurations in fractured bedrock, Water Resour. Res 39 (2003). [Google Scholar]
- [52].Hoehn E, Roberts PV, Advection‐Dispersion Interpretation of Tracer Observations in an Aquifer 20 (1982) 457–465. [Google Scholar]
- [53].Relyea JF, Theoretical and experimental considerations for the use of the column method for determining retardation factors (1982).

