WSRC-MS-2002-00063
Calculating Disposal Inventory Limits Using Waste-Form Specific Kd Values
Daniel I. Kaplan, Leonard B. Collard, Elmer L. Wilhite, and
James R. Cook
Westinghouse Savannah River Company
Aiken, SC 29808
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Introduction
The amount of low-level radioactive waste (LLW) that can be emplaced at a disposal site is dependent on several factors. Key among these is the interactions of the radionuclide with the waste, engineered barriers, and geological media at the disposal site. Sensitivity analyses of performance assessments of LLW disposal sites commonly conclude that the distribution coefficient (Kd, mL/g), the ratio of a radionuclide concentration in the solid phase (Ci/g) to the concentration in the liquid phase (Ci/mL), is the single most important input parameter (1). There are few actual measurements of waste form Kd values because such tests are expensive and because there are often several different types of waste forms disposed at a given LLW site (2). Consequently, modelers are required to make conservative estimates of Kd values, typically based on measurements made in geological materials. Such conservatism leads to under-estimating the true amount of radioactivity that can be safely managed at a disposal site.
The objective of this study was two fold: 1) to make laboratory measurements of waste-specific Kd values, and 2) to use the laboratory measured Kd values in calculations to estimate the inventory disposal limit at the Savannah River Site’s E-Area LLW Facility. A key risk driver at this facility is I-129. Among the waste forms evaluated in this study was activated carbon, used specifically for removing I-129 from a waste stream. Consequently, it was anticipated that such waste would have appreciably larger I-129 Kd values than the generic waste Kd value, 0.6 mL/g, previously used in a performance assessment of the site (3).
Methods
The I-129 Kd values were measured by two methods, a batch desorption test and a flow-through continuous flow test (2). The waste forms evaluated were generated from the F-Area and H-Area Ground Water Treatment Units (GWTU) and the Effluent Treatment Facility (ETF): activated carbon, CG-8 cation resin, and filtercake (a predominant Fe-oxide sludge material). Kd values were measured using two types of leachates: a mildly acidic-rain simulant (pH 5; for a trench disposal scenario) and a cement simulant (pH 12; for a cement vault disposal scenario).
The PORFLOW© contaminant transport model was then used to determine the influence of waste Kd values on I-129 concentrations at a hypothetical well 100-m down-gradient from the E-Area LLW Facility (4). Allowable I-129 inventory limits were calculated by comparing estimated groundwater concentrations with the Maximum Contaminant Level (MCL, presently 1 pCi/L) and by comparing off-site and intruder doses with DOE Order limits on doses.
Results:
Seventy-seven I-129 Kd values were measured from seven waste forms (Table 1). The most important conclusion that can be made from this data is that the measured Kd values are appreciably greater than that assumed for generic waste. Also important to note is that the Kd values measured using the acidic rain simulant are appreciably greater than those measured using the cement simulant. This can be attributed to the greater anion concentration in the cement simulant, promoting anion exchange with I-129. Kd values for a given waste form varied depending on the originating facility. For example, activated carbon Kd values in an acidic rain environment ranged from 7,400 to 132,500 mL/g. The large standard deviations associated with the average Kd values can be attributed primarily to increases in Kd values as more leachate passed through the column experiments (data not shown).
The influence of waste form Kd values on the disposal inventory limit at the Savannah River Site E-Area Disposal Facility is presented in Figure 1. The generic waste used in a previous performance assessment had a waste inventory limit of 5.3 x 10-4 Ci of I-129. The disposal inventory limit of a waste with a Kd of 132,500 mL/g, such as the activated carbon, had an inventory limit of 4.9 Ci of I-129. The strong correlation existing between the Kd values and the allowable inventory limit provides a useful equation for predicting inventory limits without having to rerun these arduous calculations.
Table 1. I-129 Kd Values (mL/g) of Various Waste
Forms Using
a Cement Leachate (for Simulated Vault Disposal) and
an Acidic Rain Leachate (for Simulated Trench Disposal)
|
|
|
Cement Kd |
Acidic Rain Kd |
||
|
Waste Form |
Waste Generating Facility |
Minimum |
Average ± Std. Dev. |
Minimum |
Average ± Std. Dev. |
|
Activated Carbon |
F-GWTU |
880 |
11,500 ± 15,200 |
132500 |
798,000 ± 800,000 |
|
Activated Carbon |
H-GWTU |
320 |
5,400 ± 5,600 |
58100 |
270,000 ± 208,000 |
|
Activated Carbon |
ETF |
600 |
9,710 ± 14,300 |
7400 |
65,100 ± 101,000 |
|
CG-8 |
F-GWTU |
3 |
1,490 ± 1,600 |
50 |
1,360 ± 1,320 |
|
CG-8 |
H-GWTU |
100 |
24,500 ± 27,300 |
380 |
56,400 ± 87,000 |
|
Filtercake |
F-GWTU |
13 |
14 ± 1 |
50 |
57 ± 9 |
|
Filtercake |
H-GWTU |
630 |
9,230 ± 7,260 |
650 |
4,020 ± 3,300 |
|
Non-specified Generic Waste a |
0.6 |
0.6 |
|||
a Literature-derived value used in previous performance assessments (3).

Figure 1 Influence of Waste Form Kd Values and
Disposal Inventory Limit at the E-Area Disposal Site on the SRS.
References