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| issue date = 12/11/2008 | | issue date = 12/11/2008 | ||
| title = Attachment (1) - Evaluation of Acid Production by Beta Dose | | title = Attachment (1) - Evaluation of Acid Production by Beta Dose | ||
| author name = Spina J | | author name = Spina J | ||
| author affiliation = Calvert Cliffs Nuclear Power Plant, Inc | | author affiliation = Calvert Cliffs Nuclear Power Plant, Inc | ||
| addressee name = | | addressee name = | ||
| Line 15: | Line 15: | ||
=Text= | =Text= | ||
{{#Wiki_filter:}} | {{#Wiki_filter:ATTACHMENT (1) | ||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Calvert Cliffs Nuclear Power Plant, Inc. | |||
December 11, 2008 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE NRC Question: | |||
In the Calvert Cliffs application dated August 27, 2008, the calculation to determine the amount of nitric acid generated from radiation appears to only account for the gamma dose. Please discuss whether the beta dose was also considered in the calculation. If not, please explain why your method provides for a conservative amount of sodium tetraborate to maintain the pool pH>7 following a LOCA. | |||
CCNPP Response: | |||
One year total integrated post-accident beta and gamma doses in Containment are summarized on page F-2 of Reference 3. Both beta and gamma airborne doses were used in the calculation of HCl from cable insulation. However, only the 1-year integrated TID airborne gamma dose of 16.84 MRad was utilized for the calculation of nitric acid from sump water, which was consistent with the methodology employed for the previously approved calculation for trisodium phosphate (TSP). This response will consider the impact from other potential sources of post-accident dose for the sump water. | |||
Airborne Beta Source Table 1 below summarizes the dominant contributors to the airborne component of the total integrated beta dose (138.28 MRad at 1-year) and their associated mean beta energy. The maximum range in water is calculated using the relationship Rmax=0.412E(1.265 - 0.0954 lnE) from Reference 1 (p. 93), where Rmax is maximum range in cm, is density (1 g/cc), and E is mean beta energy. As can be seen, the maximum penetration of any airborne beta into the sump water is ~1 cm, with a majority being absorbed in the first 1 mm of the surface of the sump (half in the first 100 microns using the apparent beta mass attenuation coefficient of 17/E1.14 from Reference 1, p. 92). Further, per Updated Final Safety Analysis Report Table 6-6 the mean spray drop diameter is 700 microns, so even the sprayed water will not see significant airborne beta dose. | |||
Table 1 - Penetration Distance of Airborne Beta into Sump Water Percentage of total Beta 50% | |||
integrated beta dose Energy Max Range Attenuated Isotope 30-days 1-year (Mev) (cm) (cm) | |||
Kr-85 2.79% 24.84% 0.2505 0.060 0.0084 Kr-87 1.85% 1.40% 1.3237 0.583 0.0561 Kr-88 1.67% 1.26% 0.3643 0.104 0.0129 Rb-88 8.59% 6.50% 2.0664 0.981 0.0933 I-131 3.00% 2.47% 0.1917 0.039 0.0062 I-133 1.65% 1.24% 0.4106 0.124 0.0148 Xe-133 72.54% 56.20% 0.1357 0.023 0.0042 Xe-135 3.52% 2.66% 0.3172 0.085 0.0110 1-year weighted penetration 0.105 0.0121 Thus, nitric acid production from airborne beta exposure of water will be negligible. | |||
Sump Beta and Gamma Sources Dose for a point inside the sump water in Containment has not been calculated for previous analyses, but can be determined using information from EQ calculations of dose to Auxiliary Building components during the recirculation phase. These calculations utilize the standard Regulatory Guide 1.89/TID-14484 assumption that the sump at t=0 contains 50% of the core inventory of halogens, and 1% of the core inventory of fission products. | |||
1 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 2 provides the sump water integrated photon source as a function of time. A simple MCNP5 model of an infinite sump source was then run to obtain the integrated MeV/g per history for each time step spectrum (see sample for 11 days below Table 2). This result is then divided by 6.24E7 MeV/g per Rad, and multiplied by the total photons from Table 2 to determine the integrated dose in Rads. The results are plotted in Figure 1 below. | |||
Table 3 provides the sump water specific activity for halogen and fission product isotopes as a function of time. The infinite beta dose rate in water in rad/hr for an isotope at a given time step is determined by multiplying the isotope specific activity (Ci/cc) by 2.1346*E Rad/hr per Ci/cc, where E is the mean beta energy in MeV. Mean beta energies were obtained from References 2 and 4. The time dependent dose rate for each sump isotope, and the total integrated beta dose from all isotopes as a function of time (using trapezoidal integration) is provided in Table 4. The latter is also plotted in Figure 1 below. | |||
As can be seen in Figure 1, the beta+gamma integrated doses in the sump water due to isotopes in the water exceed the 1-year airborne integrated gamma dose at ~20 days, and reach 42 MRad in one year. | |||
Note it is not appropriate to sum the airborne and water gamma doses as both doses assume that all of the released halogen is present in each location (i.e., would double count dose from these isotopes). | |||
Conclusion It was determined above that the dose rate applied to the sump water for nitric acid should have been 2.51 times greater than what was used in Reference 3. Applying this change alone would increase the sodium tetraborate (STB) amount required to maintain a pH of 7.0 by ~226 lbm to 13674 lbm. This is still below the proposed Technical Specification 3.5.5 required STB amount of 13750 lbm. However, additional conservatism is also present in the dose utilized to calculate the amount of hydrochloric acid produced from cable insulation. Reference 3 applies one of the highest 1-year integrated doses possible for any cable (567.6 MRad beta+gamma at the outside surface of the iodine removal unit housing) to the entire mass of cable insulation in Containment. However, the 1-year integrated gamma dose at the containment electrical penetrations (which are relatively close to the iodine removal units) ranges from 18-42 MRad. Even when combined with the 1-year integrated airborne+plateout beta dose of 227 MRad, the resulting 250-270 MRad suggests that most cables in Containment would see half the dose, and that a reduction in HCl amount on par with the increase in nitric acid above could be achieved from an explicit accounting of dose to cables. | |||
2 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 2 - Integrated Photon Source (photons-hr/cc-sec); Reference 4 Time (days) 11 27 47 365 Mean E (MeV) 0.015 1.82E+10 2.74E+10 3.51E+10 9.06E+10 0.025 1.89E+10 2.75E+10 3.29E+10 6.42E+10 0.045 2.58E+10 3.73E+10 4.45E+10 9.53E+10 0.080 2.23E+10 3.20E+10 3.67E+10 6.59E+10 0.150 9.48E+09 1.40E+10 1.81E+10 5.28E+10 0.300 1.46E+11 2.09E+11 2.29E+11 2.49E+11 0.500 5.90E+10 7.01E+10 7.92E+10 1.17E+11 0.650 2.01E+10 2.78E+10 3.29E+10 7.94E+10 0.750 2.29E+10 4.31E+10 6.43E+10 1.78E+11 0.900 1.19E+10 1.38E+10 1.48E+10 1.77E+10 1.250 1.46E+10 1.50E+10 1.54E+10 1.90E+10 1.750 8.92E+09 1.28E+10 1.46E+10 1.61E+10 2.500 7.45E+08 1.00E+09 1.16E+09 1.95E+09 3.500 2.79E+07 2.92E+07 2.99E+07 3.18E+07 4.500 2.02E+06 2.02E+06 2.02E+06 2.02E+06 5.500 1.90E+05 1.90E+05 1.90E+05 1.90E+05 6.500 5.75E+02 5.75E+02 5.75E+02 5.75E+02 7.500 1.60E+01 1.60E+01 1.60E+01 1.60E+01 9.000 1.06E-01 1.06E-01 1.06E-01 1.06E-01 12.000 1.65E-22 9.76E-22 2.89E-21 1.40E-19 Total 3.79E+11 5.31E+11 6.18E+11 1.05E+12 Total Photons* 5.71E+21 8.01E+21 9.32E+21 1.58E+22 | |||
* photons-hr/cc-sec x 3600 sec/hr x 4.19E6 cc model volume 11d integrated photon dose in water 1 1 -1.0 2 -1 imp:p=1 $water 2 1 -1.0 -2 imp:p=1 $water tally cell 3 0 1 imp:p=0 $outside world | |||
*1 SO 100 2 SO 5 m1 1000 2 $ water 8000 1 MODE P SDEF POS=0 0 0 RAD=d1 ERG=d2 si1 100 sp1 -21 si2 l 0.015 0.025 0.045 0.080 0.150 0.300 0.500 0.650 0.750 0.900 1.250 1.750 2.500 3.500 4.500 5.500 6.500 7.500 9.000 12.000 sp2 d 1.82E+10 1.89E+10 2.58E+10 2.23E+10 9.48E+09 1.46E+11 5.90E+10 2.01E+10 2.29E+10 1.19E+10 1.46E+10 8.92E+09 7.45E+08 2.79E+07 2.02E+06 1.90E+05 5.75E+02 1.60E+01 1.06E-01 1.65E-22 F16:P 2 $MeV/g ctme 10 print -85 3 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 3 - Sump Water Specific Activity as a Function of Time (Ci/cc) using 50% halogens and 1% Fission Products per Regulatory Guide 1.89 (TID-14484 methodology) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr ba137m 6.15E+01 6.11E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.09E+01 6.07E+01 6.05E+01 6.02E+01 5.99E+01 5.96E+01 ba140 7.24E+02 7.24E+02 7.22E+02 7.17E+02 7.11E+02 7.03E+02 6.86E+02 6.15E+02 5.23E+02 3.98E+02 1.67E+02 1.10E+01 4.23E-01 9.42E-03 1.52E-04 1.76E-06 br 84 5.45E+03 4.78E+03 1.47E+03 2.91E+01 1.56E-01 2.25E-04 1.27E-10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 85 6.51E+03 1.53E+03 3.31E-03 4.37E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 87 1.10E+04 1.25E+02 3.82E-16 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 88 1.24E+04 3.35E-03 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ce143 6.62E+02 6.62E+02 6.53E+02 6.13E+02 5.64E+02 5.07E+02 4.03E+02 1.47E+02 3.24E+01 2.60E+00 8.18E-04 9.25E-15 6.77E-28 0.00E+00 0.00E+00 0.00E+00 ce144 5.17E+02 5.17E+02 5.17E+02 5.17E+02 5.17E+02 5.16E+02 5.16E+02 5.13E+02 5.10E+02 5.03E+02 4.84E+02 4.29E+02 3.70E+02 3.12E+02 2.60E+02 2.13E+02 cs134 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.81E+01 9.79E+01 9.77E+01 9.72E+01 9.58E+01 9.15E+01 8.66E+01 8.12E+01 7.57E+01 7.02E+01 cs136 2.39E+01 2.39E+01 2.38E+01 2.37E+01 2.35E+01 2.32E+01 2.27E+01 2.04E+01 1.74E+01 1.34E+01 5.76E+00 4.14E-01 1.76E-02 4.40E-04 8.03E-06 1.07E-07 cs137 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.45E+01 6.43E+01 6.40E+01 6.38E+01 6.35E+01 6.31E+01 cs138 7.75E+02 6.88E+02 2.25E+02 4.74E+00 2.70E-02 4.24E-05 2.86E-11 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i131 1.93E+04 1.93E+04 1.92E+04 1.90E+04 1.88E+04 1.84E+04 1.77E+04 1.49E+04 1.15E+04 7.48E+03 1.88E+03 2.53E+01 1.43E-01 3.44E-04 4.90E-07 4.17E-10 i132 2.79E+04 2.71E+04 2.07E+04 8.66E+03 2.94E+03 1.03E+03 4.75E+02 2.98E+02 1.58E+02 5.44E+01 1.81E+00 4.34E-05 1.24E-10 4.23E-17 4.02E-24 1.07E-31 i133 4.03E+04 4.02E+04 3.90E+04 3.53E+04 3.09E+04 2.61E+04 1.81E+04 3.66E+03 3.32E+02 6.09E+00 1.69E-05 7.25E-23 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i134 4.52E+04 4.18E+04 2.07E+04 1.98E+03 8.52E+01 1.65E+00 2.76E-04 9.11E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i135 3.75E+04 3.71E+04 3.37E+04 2.46E+04 1.61E+04 9.51E+03 2.98E+03 1.88E+01 9.45E-03 3.00E-08 7.60E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i137 1.93E+04 7.28E-01 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i138 9.66E+03 1.94E-13 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 la140 7.29E+02 7.29E+02 7.29E+02 7.28E+02 7.27E+02 7.26E+02 7.20E+02 6.78E+02 5.93E+02 4.57E+02 1.92E+02 1.27E+01 4.87E-01 1.09E-02 1.74E-04 2.02E-06 la143 6.62E+02 4.93E+02 3.50E+01 5.15E-03 4.00E-08 1.64E-14 1.46E-28 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 mo 99 7.24E+02 7.23E+02 7.16E+02 6.94E+02 6.66E+02 6.32E+02 5.63E+02 3.40E+02 1.59E+02 4.51E+01 7.97E-01 2.65E-06 7.08E-13 1.52E-20 7.16E-29 6.66E-38 nb 95 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.75E+02 6.70E+02 6.38E+02 4.73E+02 2.86E+02 1.46E+02 6.71E+01 2.83E+01 nb 95m 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.50E+00 7.37E+00 7.07E+00 5.99E+00 3.49E+00 1.82E+00 8.53E-01 3.75E-01 1.54E-01 pr143 6.51E+02 6.51E+02 6.51E+02 6.51E+02 6.50E+02 6.49E+02 6.45E+02 6.06E+02 5.31E+02 4.14E+02 1.83E+02 1.42E+01 6.62E-01 1.85E-02 3.81E-04 5.77E-06 pr144 5.22E+02 5.20E+02 5.17E+02 5.16E+02 5.16E+02 5.17E+02 5.16E+02 5.13E+02 5.10E+02 5.03E+02 4.84E+02 4.29E+02 3.70E+02 3.12E+02 2.60E+02 2.13E+02 rb 88 3.74E+02 3.00E+02 5.05E+01 7.92E+00 2.97E+00 8.79E-01 5.98E-02 4.86E-07 1.13E-14 2.12E-27 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb 89 4.85E+02 3.69E+02 3.14E+01 8.56E-03 1.51E-07 1.73E-13 1.47E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb 90 4.77E+02 9.34E+01 3.94E-05 2.22E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ru103 6.62E+02 6.62E+02 6.62E+02 6.60E+02 6.58E+02 6.56E+02 6.50E+02 6.28E+02 5.95E+02 5.45E+02 4.11E+02 1.70E+02 5.89E+01 1.71E+01 4.48E+00 1.05E+00 ru106 3.00E+02 3.00E+02 3.00E+02 3.00E+02 3.00E+02 3.00E+02 2.99E+02 2.98E+02 2.97E+02 2.94E+02 2.85E+02 2.60E+02 2.32E+02 2.04E+02 1.77E+02 1.52E+02 sr 89 4.56E+02 4.56E+02 4.56E+02 4.55E+02 4.54E+02 4.53E+02 4.50E+02 4.38E+02 4.20E+02 3.92E+02 3.15E+02 1.59E+02 6.97E+01 2.67E+01 9.42E+00 3.06E+00 sr 90 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.63E+01 4.62E+01 4.60E+01 4.58E+01 4.55E+01 4.53E+01 sr 91 6.10E+02 6.06E+02 5.67E+02 4.56E+02 3.41E+02 2.37E+02 1.06E+02 3.22E+00 1.70E-02 2.73E-06 1.97E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 sr 95 5.94E+02 2.86E-02 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 tc 99m 6.46E+02 6.46E+02 6.45E+02 6.37E+02 6.23E+02 5.99E+02 5.41E+02 3.29E+02 1.54E+02 4.37E+01 7.72E-01 2.57E-06 6.86E-13 1.47E-20 6.93E-29 0.00E+00 te129 1.23E+02 1.17E+02 7.48E+01 2.57E+01 1.67E+01 1.58E+01 1.56E+01 1.50E+01 1.41E+01 1.27E+01 9.14E+00 3.26E+00 9.45E-01 2.23E-01 4.65E-02 8.57E-03 te129m 2.49E+01 2.49E+01 2.49E+01 2.48E+01 2.47E+01 2.46E+01 2.44E+01 2.34E+01 2.20E+01 1.98E+01 1.43E+01 5.09E+00 1.47E+00 3.48E-01 7.26E-02 1.34E-02 te131 3.33E+02 2.85E+02 7.66E+01 1.60E+01 1.42E+01 1.27E+01 9.83E+00 3.24E+00 6.14E-01 3.84E-02 5.38E-06 4.89E-18 1.74E-32 0.00E+00 0.00E+00 0.00E+00 te131m 7.60E+01 7.58E+01 7.43E+01 6.93E+01 6.32E+01 5.63E+01 4.37E+01 1.44E+01 2.73E+00 1.71E-01 2.39E-05 2.17E-17 7.72E-32 0.00E+00 0.00E+00 0.00E+00 te132 5.48E+02 5.48E+02 5.43E+02 5.29E+02 5.10E+02 4.88E+02 4.43E+02 2.89E+02 1.53E+02 5.28E+01 1.75E+00 4.21E-05 1.20E-10 4.10E-17 3.90E-24 1.03E-31 te133 4.73E+02 3.57E+02 5.34E+01 4.15E+00 2.06E-01 4.83E-03 1.25E-06 2.81E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te133m 3.70E+02 3.43E+02 1.75E+02 1.84E+01 9.12E-01 2.14E-02 5.54E-06 1.24E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te134 7.70E+02 6.97E+02 2.85E+02 1.44E+01 2.69E-01 1.86E-03 3.28E-08 5.96E-29 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y 89m 4.19E-01 4.24E-02 4.24E-02 4.23E-02 4.22E-02 4.21E-02 4.18E-02 4.07E-02 3.91E-02 3.65E-02 2.93E-02 1.48E-02 6.48E-03 2.48E-03 8.76E-04 2.85E-04 4 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 3 - Sump Water Specific Activity as a Function of Time (Ci/cc) using 50% halogens and 1% Fission Products per Regulatory Guide 1.89 (TID-14484 methodology) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr y 90 4.93E+01 4.93E+01 4.93E+01 4.92E+01 4.91E+01 4.89E+01 4.86E+01 4.77E+01 4.70E+01 4.65E+01 4.63E+01 4.62E+01 4.60E+01 4.58E+01 4.55E+01 4.53E+01 y 91 5.63E+02 5.63E+02 5.63E+02 5.63E+02 5.63E+02 5.62E+02 5.60E+02 5.48E+02 5.28E+02 4.98E+02 4.12E+02 2.28E+02 1.12E+02 4.88E+01 1.99E+01 7.51E+00 y 91m 3.53E+02 3.53E+02 3.45E+02 2.88E+02 2.16E+02 1.50E+02 6.75E+01 2.05E+00 1.08E-02 1.74E-06 1.25E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y 95 7.24E+02 5.04E+02 1.43E+01 9.85E-05 1.30E-11 3.25E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 zr 95 6.82E+02 6.82E+02 6.82E+02 6.81E+02 6.80E+02 6.78E+02 6.75E+02 6.60E+02 6.39E+02 6.05E+02 5.09E+02 2.96E+02 1.55E+02 7.25E+01 3.18E+01 1.31E+01 5 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 4 - Beta Dose Rates (rad/hr) and Total Integrated Dose (MRad) for a Point in an Infinite Sump Isotope (MeV) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr ba137m 0.0651 8.55E+00 8.49E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.46E+00 8.44E+00 8.41E+00 8.37E+00 8.32E+00 8.28E+00 ba140 0.3128 4.83E+02 4.83E+02 4.82E+02 4.79E+02 4.75E+02 4.69E+02 4.58E+02 4.11E+02 3.49E+02 2.66E+02 1.12E+02 7.34E+00 2.82E-01 6.29E-03 1.01E-04 1.18E-06 br84 1.2291 1.43E+04 1.25E+04 3.86E+03 7.63E+01 4.09E-01 5.90E-04 3.33E-10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br85 1.04 1.45E+04 3.40E+03 7.35E-03 9.70E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br87 1.62 3.80E+04 4.32E+02 1.32E-15 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br88 2.5 6.62E+04 1.79E-02 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ce143 0.4325 6.11E+02 6.11E+02 6.03E+02 5.66E+02 5.21E+02 4.68E+02 3.72E+02 1.36E+02 2.99E+01 2.40E+00 7.55E-04 8.54E-15 6.25E-28 0.00E+00 0.00E+00 0.00E+00 ce144 0.0922 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.01E+02 1.00E+02 9.90E+01 9.53E+01 8.44E+01 7.28E+01 6.14E+01 5.12E+01 4.19E+01 cs134 0.1636 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.42E+01 3.41E+01 3.39E+01 3.35E+01 3.20E+01 3.02E+01 2.84E+01 2.64E+01 2.45E+01 cs136 0.1389 7.09E+00 7.09E+00 7.06E+00 7.03E+00 6.97E+00 6.88E+00 6.73E+00 6.05E+00 5.16E+00 3.97E+00 1.71E+00 1.23E-01 5.22E-03 1.30E-04 2.38E-06 3.17E-08 cs137 0.187 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.57E+01 2.57E+01 2.55E+01 2.55E+01 2.53E+01 2.52E+01 cs138 1.2067 2.00E+03 1.77E+03 5.80E+02 1.22E+01 6.95E-02 1.09E-04 7.37E-11 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i131 0.1917 7.90E+03 7.90E+03 7.86E+03 7.77E+03 7.69E+03 7.53E+03 7.24E+03 6.10E+03 4.71E+03 3.06E+03 7.69E+02 1.04E+01 5.85E-02 1.41E-04 2.01E-07 1.71E-10 i132 0.4953 2.95E+04 2.87E+04 2.19E+04 9.16E+03 3.11E+03 1.09E+03 5.02E+02 3.15E+02 1.67E+02 5.75E+01 1.91E+00 4.59E-05 1.31E-10 4.47E-17 4.25E-24 1.13E-31 i133 0.4106 3.53E+04 3.52E+04 3.42E+04 3.09E+04 2.71E+04 2.29E+04 1.59E+04 3.21E+03 2.91E+02 5.34E+00 1.48E-05 6.35E-23 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i134 0.6223 6.00E+04 5.55E+04 2.75E+04 2.63E+03 1.13E+02 2.19E+00 3.67E-04 1.21E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i135 0.367 2.94E+04 2.91E+04 2.64E+04 1.93E+04 1.26E+04 7.45E+03 2.33E+03 1.47E+01 7.40E-03 2.35E-08 5.95E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i137 1.965 8.10E+04 3.05E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i138 2.9 5.98E+04 1.20E-12 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 la140 0.537 8.36E+02 8.36E+02 8.36E+02 8.34E+02 8.33E+02 8.32E+02 8.25E+02 7.77E+02 6.80E+02 5.24E+02 2.20E+02 1.46E+01 5.58E-01 1.25E-02 1.99E-04 2.32E-06 la143 1.3238 1.87E+03 1.39E+03 9.89E+01 1.46E-02 1.13E-07 4.63E-14 4.13E-28 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 mo99 0.3922 6.06E+02 6.05E+02 5.99E+02 5.81E+02 5.58E+02 5.29E+02 4.71E+02 2.85E+02 1.33E+02 3.78E+01 6.67E-01 2.22E-06 5.93E-13 1.27E-20 5.99E-29 5.58E-38 nb95 0.0444 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.40E+01 6.35E+01 6.05E+01 4.48E+01 2.71E+01 1.38E+01 6.36E+00 2.68E+00 nb95m 0.1663 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.66E+00 2.62E+00 2.51E+00 2.13E+00 1.24E+00 6.46E-01 3.03E-01 1.33E-01 5.47E-02 pr143 0.3142 4.37E+02 4.37E+02 4.37E+02 4.37E+02 4.36E+02 4.35E+02 4.33E+02 4.06E+02 3.56E+02 2.78E+02 1.23E+02 9.52E+00 4.44E-01 1.24E-02 2.56E-04 3.87E-06 pr144 1.2075 1.35E+03 1.34E+03 1.33E+03 1.33E+03 1.33E+03 1.33E+03 1.33E+03 1.32E+03 1.31E+03 1.30E+03 1.25E+03 1.11E+03 9.54E+02 8.04E+02 6.70E+02 5.49E+02 rb88 2.0664 1.65E+03 1.32E+03 2.23E+02 3.49E+01 1.31E+01 3.88E+00 2.64E-01 2.14E-06 4.98E-14 9.35E-27 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb89 1.0131 1.05E+03 7.98E+02 6.79E+01 1.85E-02 3.27E-07 3.74E-13 3.18E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb90 1.75 1.78E+03 3.49E+02 1.47E-04 8.29E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ru103 0.0748 1.06E+02 1.06E+02 1.06E+02 1.05E+02 1.05E+02 1.05E+02 1.04E+02 1.00E+02 9.50E+01 8.70E+01 6.56E+01 2.71E+01 9.40E+00 2.73E+00 7.15E-01 1.68E-01 ru106 0.01 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.38E+00 6.36E+00 6.34E+00 6.28E+00 6.08E+00 5.55E+00 4.95E+00 4.35E+00 3.78E+00 3.24E+00 sr89 0.5832 5.68E+02 5.68E+02 5.68E+02 5.66E+02 5.65E+02 5.64E+02 5.60E+02 5.45E+02 5.23E+02 4.88E+02 3.92E+02 1.98E+02 8.68E+01 3.32E+01 1.17E+01 3.81E+00 sr90 0.1957 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.93E+01 1.93E+01 1.92E+01 1.91E+01 1.90E+01 1.89E+01 sr91 0.6555 8.54E+02 8.48E+02 7.93E+02 6.38E+02 4.77E+02 3.32E+02 1.48E+02 4.51E+00 2.38E-02 3.82E-06 2.76E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 sr95 2.21 2.80E+03 1.35E-01 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 tc99m 0.0162 2.23E+01 2.23E+01 2.23E+01 2.20E+01 2.15E+01 2.07E+01 1.87E+01 1.14E+01 5.33E+00 1.51E+00 2.67E-02 8.89E-08 2.37E-14 5.08E-22 2.40E-30 0.00E+00 te129 0.5443 1.43E+02 1.36E+02 8.69E+01 2.99E+01 1.94E+01 1.84E+01 1.81E+01 1.74E+01 1.64E+01 1.48E+01 1.06E+01 3.79E+00 1.10E+00 2.59E-01 5.40E-02 9.96E-03 te129m 0.2601 1.38E+01 1.38E+01 1.38E+01 1.38E+01 1.37E+01 1.37E+01 1.35E+01 1.30E+01 1.22E+01 1.10E+01 7.94E+00 2.83E+00 8.16E-01 1.93E-01 4.03E-02 7.44E-03 te131 0.7192 5.11E+02 4.38E+02 1.18E+02 2.46E+01 2.18E+01 1.95E+01 1.51E+01 4.97E+00 9.43E-01 5.90E-02 8.26E-06 7.51E-18 2.67E-32 0.00E+00 0.00E+00 0.00E+00 te131m 0.2024 3.28E+01 3.27E+01 3.21E+01 2.99E+01 2.73E+01 2.43E+01 1.89E+01 6.22E+00 1.18E+00 7.39E-02 1.03E-05 9.38E-18 3.34E-32 0.00E+00 0.00E+00 0.00E+00 te132 0.1021 1.19E+02 1.19E+02 1.18E+02 1.15E+02 1.11E+02 1.06E+02 9.65E+01 6.30E+01 3.33E+01 1.15E+01 3.81E-01 9.18E-06 2.62E-11 8.94E-18 8.50E-25 2.24E-32 te133 0.8189 8.27E+02 6.24E+02 9.33E+01 7.25E+00 3.60E-01 8.44E-03 2.19E-06 4.91E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te133m 0.7047 5.57E+02 5.16E+02 2.63E+02 2.77E+01 1.37E+00 3.22E-02 8.33E-06 1.87E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te134 0.2995 4.92E+02 4.46E+02 1.82E+02 9.21E+00 1.72E-01 1.19E-03 2.10E-08 3.81E-29 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y89m 0.4 3.58E-01 3.62E-02 3.62E-02 3.61E-02 3.60E-02 3.59E-02 3.57E-02 3.48E-02 3.34E-02 3.12E-02 2.50E-02 1.26E-02 5.53E-03 2.12E-03 7.48E-04 2.43E-04 y90 0.9349 9.84E+01 9.84E+01 9.84E+01 9.82E+01 9.80E+01 9.76E+01 9.70E+01 9.52E+01 9.38E+01 9.28E+01 9.24E+01 9.22E+01 9.18E+01 9.14E+01 9.08E+01 9.04E+01 y91 0.6022 7.24E+02 7.24E+02 7.24E+02 7.24E+02 7.24E+02 7.22E+02 7.20E+02 7.04E+02 6.79E+02 6.40E+02 5.30E+02 2.93E+02 1.44E+02 6.27E+01 2.56E+01 9.65E+00 6 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 4 - Beta Dose Rates (rad/hr) and Total Integrated Dose (MRad) for a Point in an Infinite Sump Isotope (MeV) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr y91m 0.0273 2.06E+01 2.06E+01 2.01E+01 1.68E+01 1.26E+01 8.74E+00 3.93E+00 1.19E-01 6.29E-04 1.01E-07 7.28E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y95 1.5277 2.36E+03 1.64E+03 4.66E+01 3.21E-04 4.24E-11 1.06E-19 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 zr95 0.1163 1.69E+02 1.69E+02 1.69E+02 1.69E+02 1.69E+02 1.68E+02 1.68E+02 1.64E+02 1.59E+02 1.50E+02 1.26E+02 7.35E+01 3.85E+01 1.80E+01 7.89E+00 3.25E+00 Dose Rate (rad/hr) 4.59E+05 1.89E+05 1.31E+05 7.70E+04 5.74E+04 4.55E+04 3.21E+04 1.50E+04 9.91E+03 7.29E+03 3.95E+03 2.06E+03 1.52E+03 1.17E+03 9.48E+02 7.81E+02 Int. Dose (MRad) 0 0.03 0.18 0.49 0.76 1.01 1.44 2.57 3.47 4.50 6.66 10.26 12.84 15.10 17.03 18.73 7 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE 45.00 40.00 Total 35.00 Gamma Beta Infinite Sump Water Integrated 30.00 25.00 20.00 15.00 10.00 Dose (MRad) 5.00 0.00 10 100 1000 Time Since Start of Accident (Days) | |||
Figure 1 - Total Integrated Dose to a Point inside an Infinite Sump Water Source 8 | |||
ATTACHMENT (1) | |||
EVALUATION OF ACID PRODUCTION BY BETA DOSE | |||
==REFERENCES:== | |||
: 1. Lamarsh, J. R., Introduction to Nuclear Engineering, 2nd Edition, 1983 | |||
: 2. ICRP Publication 38, Radionuclide Transformations: Energy and Intensity of Emissions, 1983 | |||
: 3. Calculation 0090-0148-01, Mass of Sodium Tetraborate Decahydrate Buffer Required for Post-LOCA, Containment Building Sump pH Control, August 25, 2008 | |||
: 4. Brookhaven National Laboratory Chart of Nuclides http://www.nndc.bnl.gov/chart/) | |||
9}} | |||
Latest revision as of 11:29, 14 November 2019
| ML083460561 | |
| Person / Time | |
|---|---|
| Site: | Calvert Cliffs  |
| Issue date: | 12/11/2008 |
| From: | Spina J Calvert Cliffs |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| Download: ML083460561 (10) | |
Text
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Calvert Cliffs Nuclear Power Plant, Inc.
December 11, 2008
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE NRC Question:
In the Calvert Cliffs application dated August 27, 2008, the calculation to determine the amount of nitric acid generated from radiation appears to only account for the gamma dose. Please discuss whether the beta dose was also considered in the calculation. If not, please explain why your method provides for a conservative amount of sodium tetraborate to maintain the pool pH>7 following a LOCA.
CCNPP Response:
One year total integrated post-accident beta and gamma doses in Containment are summarized on page F-2 of Reference 3. Both beta and gamma airborne doses were used in the calculation of HCl from cable insulation. However, only the 1-year integrated TID airborne gamma dose of 16.84 MRad was utilized for the calculation of nitric acid from sump water, which was consistent with the methodology employed for the previously approved calculation for trisodium phosphate (TSP). This response will consider the impact from other potential sources of post-accident dose for the sump water.
Airborne Beta Source Table 1 below summarizes the dominant contributors to the airborne component of the total integrated beta dose (138.28 MRad at 1-year) and their associated mean beta energy. The maximum range in water is calculated using the relationship Rmax=0.412E(1.265 - 0.0954 lnE) from Reference 1 (p. 93), where Rmax is maximum range in cm, is density (1 g/cc), and E is mean beta energy. As can be seen, the maximum penetration of any airborne beta into the sump water is ~1 cm, with a majority being absorbed in the first 1 mm of the surface of the sump (half in the first 100 microns using the apparent beta mass attenuation coefficient of 17/E1.14 from Reference 1, p. 92). Further, per Updated Final Safety Analysis Report Table 6-6 the mean spray drop diameter is 700 microns, so even the sprayed water will not see significant airborne beta dose.
Table 1 - Penetration Distance of Airborne Beta into Sump Water Percentage of total Beta 50%
integrated beta dose Energy Max Range Attenuated Isotope 30-days 1-year (Mev) (cm) (cm)
Kr-85 2.79% 24.84% 0.2505 0.060 0.0084 Kr-87 1.85% 1.40% 1.3237 0.583 0.0561 Kr-88 1.67% 1.26% 0.3643 0.104 0.0129 Rb-88 8.59% 6.50% 2.0664 0.981 0.0933 I-131 3.00% 2.47% 0.1917 0.039 0.0062 I-133 1.65% 1.24% 0.4106 0.124 0.0148 Xe-133 72.54% 56.20% 0.1357 0.023 0.0042 Xe-135 3.52% 2.66% 0.3172 0.085 0.0110 1-year weighted penetration 0.105 0.0121 Thus, nitric acid production from airborne beta exposure of water will be negligible.
Sump Beta and Gamma Sources Dose for a point inside the sump water in Containment has not been calculated for previous analyses, but can be determined using information from EQ calculations of dose to Auxiliary Building components during the recirculation phase. These calculations utilize the standard Regulatory Guide 1.89/TID-14484 assumption that the sump at t=0 contains 50% of the core inventory of halogens, and 1% of the core inventory of fission products.
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ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 2 provides the sump water integrated photon source as a function of time. A simple MCNP5 model of an infinite sump source was then run to obtain the integrated MeV/g per history for each time step spectrum (see sample for 11 days below Table 2). This result is then divided by 6.24E7 MeV/g per Rad, and multiplied by the total photons from Table 2 to determine the integrated dose in Rads. The results are plotted in Figure 1 below.
Table 3 provides the sump water specific activity for halogen and fission product isotopes as a function of time. The infinite beta dose rate in water in rad/hr for an isotope at a given time step is determined by multiplying the isotope specific activity (Ci/cc) by 2.1346*E Rad/hr per Ci/cc, where E is the mean beta energy in MeV. Mean beta energies were obtained from References 2 and 4. The time dependent dose rate for each sump isotope, and the total integrated beta dose from all isotopes as a function of time (using trapezoidal integration) is provided in Table 4. The latter is also plotted in Figure 1 below.
As can be seen in Figure 1, the beta+gamma integrated doses in the sump water due to isotopes in the water exceed the 1-year airborne integrated gamma dose at ~20 days, and reach 42 MRad in one year.
Note it is not appropriate to sum the airborne and water gamma doses as both doses assume that all of the released halogen is present in each location (i.e., would double count dose from these isotopes).
Conclusion It was determined above that the dose rate applied to the sump water for nitric acid should have been 2.51 times greater than what was used in Reference 3. Applying this change alone would increase the sodium tetraborate (STB) amount required to maintain a pH of 7.0 by ~226 lbm to 13674 lbm. This is still below the proposed Technical Specification 3.5.5 required STB amount of 13750 lbm. However, additional conservatism is also present in the dose utilized to calculate the amount of hydrochloric acid produced from cable insulation. Reference 3 applies one of the highest 1-year integrated doses possible for any cable (567.6 MRad beta+gamma at the outside surface of the iodine removal unit housing) to the entire mass of cable insulation in Containment. However, the 1-year integrated gamma dose at the containment electrical penetrations (which are relatively close to the iodine removal units) ranges from 18-42 MRad. Even when combined with the 1-year integrated airborne+plateout beta dose of 227 MRad, the resulting 250-270 MRad suggests that most cables in Containment would see half the dose, and that a reduction in HCl amount on par with the increase in nitric acid above could be achieved from an explicit accounting of dose to cables.
2
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 2 - Integrated Photon Source (photons-hr/cc-sec); Reference 4 Time (days) 11 27 47 365 Mean E (MeV) 0.015 1.82E+10 2.74E+10 3.51E+10 9.06E+10 0.025 1.89E+10 2.75E+10 3.29E+10 6.42E+10 0.045 2.58E+10 3.73E+10 4.45E+10 9.53E+10 0.080 2.23E+10 3.20E+10 3.67E+10 6.59E+10 0.150 9.48E+09 1.40E+10 1.81E+10 5.28E+10 0.300 1.46E+11 2.09E+11 2.29E+11 2.49E+11 0.500 5.90E+10 7.01E+10 7.92E+10 1.17E+11 0.650 2.01E+10 2.78E+10 3.29E+10 7.94E+10 0.750 2.29E+10 4.31E+10 6.43E+10 1.78E+11 0.900 1.19E+10 1.38E+10 1.48E+10 1.77E+10 1.250 1.46E+10 1.50E+10 1.54E+10 1.90E+10 1.750 8.92E+09 1.28E+10 1.46E+10 1.61E+10 2.500 7.45E+08 1.00E+09 1.16E+09 1.95E+09 3.500 2.79E+07 2.92E+07 2.99E+07 3.18E+07 4.500 2.02E+06 2.02E+06 2.02E+06 2.02E+06 5.500 1.90E+05 1.90E+05 1.90E+05 1.90E+05 6.500 5.75E+02 5.75E+02 5.75E+02 5.75E+02 7.500 1.60E+01 1.60E+01 1.60E+01 1.60E+01 9.000 1.06E-01 1.06E-01 1.06E-01 1.06E-01 12.000 1.65E-22 9.76E-22 2.89E-21 1.40E-19 Total 3.79E+11 5.31E+11 6.18E+11 1.05E+12 Total Photons* 5.71E+21 8.01E+21 9.32E+21 1.58E+22
- photons-hr/cc-sec x 3600 sec/hr x 4.19E6 cc model volume 11d integrated photon dose in water 1 1 -1.0 2 -1 imp:p=1 $water 2 1 -1.0 -2 imp:p=1 $water tally cell 3 0 1 imp:p=0 $outside world
- 1 SO 100 2 SO 5 m1 1000 2 $ water 8000 1 MODE P SDEF POS=0 0 0 RAD=d1 ERG=d2 si1 100 sp1 -21 si2 l 0.015 0.025 0.045 0.080 0.150 0.300 0.500 0.650 0.750 0.900 1.250 1.750 2.500 3.500 4.500 5.500 6.500 7.500 9.000 12.000 sp2 d 1.82E+10 1.89E+10 2.58E+10 2.23E+10 9.48E+09 1.46E+11 5.90E+10 2.01E+10 2.29E+10 1.19E+10 1.46E+10 8.92E+09 7.45E+08 2.79E+07 2.02E+06 1.90E+05 5.75E+02 1.60E+01 1.06E-01 1.65E-22 F16:P 2 $MeV/g ctme 10 print -85 3
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 3 - Sump Water Specific Activity as a Function of Time (Ci/cc) using 50% halogens and 1% Fission Products per Regulatory Guide 1.89 (TID-14484 methodology) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr ba137m 6.15E+01 6.11E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.10E+01 6.09E+01 6.07E+01 6.05E+01 6.02E+01 5.99E+01 5.96E+01 ba140 7.24E+02 7.24E+02 7.22E+02 7.17E+02 7.11E+02 7.03E+02 6.86E+02 6.15E+02 5.23E+02 3.98E+02 1.67E+02 1.10E+01 4.23E-01 9.42E-03 1.52E-04 1.76E-06 br 84 5.45E+03 4.78E+03 1.47E+03 2.91E+01 1.56E-01 2.25E-04 1.27E-10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 85 6.51E+03 1.53E+03 3.31E-03 4.37E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 87 1.10E+04 1.25E+02 3.82E-16 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br 88 1.24E+04 3.35E-03 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ce143 6.62E+02 6.62E+02 6.53E+02 6.13E+02 5.64E+02 5.07E+02 4.03E+02 1.47E+02 3.24E+01 2.60E+00 8.18E-04 9.25E-15 6.77E-28 0.00E+00 0.00E+00 0.00E+00 ce144 5.17E+02 5.17E+02 5.17E+02 5.17E+02 5.17E+02 5.16E+02 5.16E+02 5.13E+02 5.10E+02 5.03E+02 4.84E+02 4.29E+02 3.70E+02 3.12E+02 2.60E+02 2.13E+02 cs134 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.82E+01 9.81E+01 9.79E+01 9.77E+01 9.72E+01 9.58E+01 9.15E+01 8.66E+01 8.12E+01 7.57E+01 7.02E+01 cs136 2.39E+01 2.39E+01 2.38E+01 2.37E+01 2.35E+01 2.32E+01 2.27E+01 2.04E+01 1.74E+01 1.34E+01 5.76E+00 4.14E-01 1.76E-02 4.40E-04 8.03E-06 1.07E-07 cs137 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.46E+01 6.45E+01 6.43E+01 6.40E+01 6.38E+01 6.35E+01 6.31E+01 cs138 7.75E+02 6.88E+02 2.25E+02 4.74E+00 2.70E-02 4.24E-05 2.86E-11 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i131 1.93E+04 1.93E+04 1.92E+04 1.90E+04 1.88E+04 1.84E+04 1.77E+04 1.49E+04 1.15E+04 7.48E+03 1.88E+03 2.53E+01 1.43E-01 3.44E-04 4.90E-07 4.17E-10 i132 2.79E+04 2.71E+04 2.07E+04 8.66E+03 2.94E+03 1.03E+03 4.75E+02 2.98E+02 1.58E+02 5.44E+01 1.81E+00 4.34E-05 1.24E-10 4.23E-17 4.02E-24 1.07E-31 i133 4.03E+04 4.02E+04 3.90E+04 3.53E+04 3.09E+04 2.61E+04 1.81E+04 3.66E+03 3.32E+02 6.09E+00 1.69E-05 7.25E-23 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i134 4.52E+04 4.18E+04 2.07E+04 1.98E+03 8.52E+01 1.65E+00 2.76E-04 9.11E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i135 3.75E+04 3.71E+04 3.37E+04 2.46E+04 1.61E+04 9.51E+03 2.98E+03 1.88E+01 9.45E-03 3.00E-08 7.60E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i137 1.93E+04 7.28E-01 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i138 9.66E+03 1.94E-13 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 la140 7.29E+02 7.29E+02 7.29E+02 7.28E+02 7.27E+02 7.26E+02 7.20E+02 6.78E+02 5.93E+02 4.57E+02 1.92E+02 1.27E+01 4.87E-01 1.09E-02 1.74E-04 2.02E-06 la143 6.62E+02 4.93E+02 3.50E+01 5.15E-03 4.00E-08 1.64E-14 1.46E-28 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 mo 99 7.24E+02 7.23E+02 7.16E+02 6.94E+02 6.66E+02 6.32E+02 5.63E+02 3.40E+02 1.59E+02 4.51E+01 7.97E-01 2.65E-06 7.08E-13 1.52E-20 7.16E-29 6.66E-38 nb 95 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.77E+02 6.75E+02 6.70E+02 6.38E+02 4.73E+02 2.86E+02 1.46E+02 6.71E+01 2.83E+01 nb 95m 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.55E+00 7.50E+00 7.37E+00 7.07E+00 5.99E+00 3.49E+00 1.82E+00 8.53E-01 3.75E-01 1.54E-01 pr143 6.51E+02 6.51E+02 6.51E+02 6.51E+02 6.50E+02 6.49E+02 6.45E+02 6.06E+02 5.31E+02 4.14E+02 1.83E+02 1.42E+01 6.62E-01 1.85E-02 3.81E-04 5.77E-06 pr144 5.22E+02 5.20E+02 5.17E+02 5.16E+02 5.16E+02 5.17E+02 5.16E+02 5.13E+02 5.10E+02 5.03E+02 4.84E+02 4.29E+02 3.70E+02 3.12E+02 2.60E+02 2.13E+02 rb 88 3.74E+02 3.00E+02 5.05E+01 7.92E+00 2.97E+00 8.79E-01 5.98E-02 4.86E-07 1.13E-14 2.12E-27 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb 89 4.85E+02 3.69E+02 3.14E+01 8.56E-03 1.51E-07 1.73E-13 1.47E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb 90 4.77E+02 9.34E+01 3.94E-05 2.22E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ru103 6.62E+02 6.62E+02 6.62E+02 6.60E+02 6.58E+02 6.56E+02 6.50E+02 6.28E+02 5.95E+02 5.45E+02 4.11E+02 1.70E+02 5.89E+01 1.71E+01 4.48E+00 1.05E+00 ru106 3.00E+02 3.00E+02 3.00E+02 3.00E+02 3.00E+02 3.00E+02 2.99E+02 2.98E+02 2.97E+02 2.94E+02 2.85E+02 2.60E+02 2.32E+02 2.04E+02 1.77E+02 1.52E+02 sr 89 4.56E+02 4.56E+02 4.56E+02 4.55E+02 4.54E+02 4.53E+02 4.50E+02 4.38E+02 4.20E+02 3.92E+02 3.15E+02 1.59E+02 6.97E+01 2.67E+01 9.42E+00 3.06E+00 sr 90 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.64E+01 4.63E+01 4.62E+01 4.60E+01 4.58E+01 4.55E+01 4.53E+01 sr 91 6.10E+02 6.06E+02 5.67E+02 4.56E+02 3.41E+02 2.37E+02 1.06E+02 3.22E+00 1.70E-02 2.73E-06 1.97E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 sr 95 5.94E+02 2.86E-02 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 tc 99m 6.46E+02 6.46E+02 6.45E+02 6.37E+02 6.23E+02 5.99E+02 5.41E+02 3.29E+02 1.54E+02 4.37E+01 7.72E-01 2.57E-06 6.86E-13 1.47E-20 6.93E-29 0.00E+00 te129 1.23E+02 1.17E+02 7.48E+01 2.57E+01 1.67E+01 1.58E+01 1.56E+01 1.50E+01 1.41E+01 1.27E+01 9.14E+00 3.26E+00 9.45E-01 2.23E-01 4.65E-02 8.57E-03 te129m 2.49E+01 2.49E+01 2.49E+01 2.48E+01 2.47E+01 2.46E+01 2.44E+01 2.34E+01 2.20E+01 1.98E+01 1.43E+01 5.09E+00 1.47E+00 3.48E-01 7.26E-02 1.34E-02 te131 3.33E+02 2.85E+02 7.66E+01 1.60E+01 1.42E+01 1.27E+01 9.83E+00 3.24E+00 6.14E-01 3.84E-02 5.38E-06 4.89E-18 1.74E-32 0.00E+00 0.00E+00 0.00E+00 te131m 7.60E+01 7.58E+01 7.43E+01 6.93E+01 6.32E+01 5.63E+01 4.37E+01 1.44E+01 2.73E+00 1.71E-01 2.39E-05 2.17E-17 7.72E-32 0.00E+00 0.00E+00 0.00E+00 te132 5.48E+02 5.48E+02 5.43E+02 5.29E+02 5.10E+02 4.88E+02 4.43E+02 2.89E+02 1.53E+02 5.28E+01 1.75E+00 4.21E-05 1.20E-10 4.10E-17 3.90E-24 1.03E-31 te133 4.73E+02 3.57E+02 5.34E+01 4.15E+00 2.06E-01 4.83E-03 1.25E-06 2.81E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te133m 3.70E+02 3.43E+02 1.75E+02 1.84E+01 9.12E-01 2.14E-02 5.54E-06 1.24E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te134 7.70E+02 6.97E+02 2.85E+02 1.44E+01 2.69E-01 1.86E-03 3.28E-08 5.96E-29 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y 89m 4.19E-01 4.24E-02 4.24E-02 4.23E-02 4.22E-02 4.21E-02 4.18E-02 4.07E-02 3.91E-02 3.65E-02 2.93E-02 1.48E-02 6.48E-03 2.48E-03 8.76E-04 2.85E-04 4
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 3 - Sump Water Specific Activity as a Function of Time (Ci/cc) using 50% halogens and 1% Fission Products per Regulatory Guide 1.89 (TID-14484 methodology) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr y 90 4.93E+01 4.93E+01 4.93E+01 4.92E+01 4.91E+01 4.89E+01 4.86E+01 4.77E+01 4.70E+01 4.65E+01 4.63E+01 4.62E+01 4.60E+01 4.58E+01 4.55E+01 4.53E+01 y 91 5.63E+02 5.63E+02 5.63E+02 5.63E+02 5.63E+02 5.62E+02 5.60E+02 5.48E+02 5.28E+02 4.98E+02 4.12E+02 2.28E+02 1.12E+02 4.88E+01 1.99E+01 7.51E+00 y 91m 3.53E+02 3.53E+02 3.45E+02 2.88E+02 2.16E+02 1.50E+02 6.75E+01 2.05E+00 1.08E-02 1.74E-06 1.25E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y 95 7.24E+02 5.04E+02 1.43E+01 9.85E-05 1.30E-11 3.25E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 zr 95 6.82E+02 6.82E+02 6.82E+02 6.81E+02 6.80E+02 6.78E+02 6.75E+02 6.60E+02 6.39E+02 6.05E+02 5.09E+02 2.96E+02 1.55E+02 7.25E+01 3.18E+01 1.31E+01 5
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 4 - Beta Dose Rates (rad/hr) and Total Integrated Dose (MRad) for a Point in an Infinite Sump Isotope (MeV) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr ba137m 0.0651 8.55E+00 8.49E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.48E+00 8.46E+00 8.44E+00 8.41E+00 8.37E+00 8.32E+00 8.28E+00 ba140 0.3128 4.83E+02 4.83E+02 4.82E+02 4.79E+02 4.75E+02 4.69E+02 4.58E+02 4.11E+02 3.49E+02 2.66E+02 1.12E+02 7.34E+00 2.82E-01 6.29E-03 1.01E-04 1.18E-06 br84 1.2291 1.43E+04 1.25E+04 3.86E+03 7.63E+01 4.09E-01 5.90E-04 3.33E-10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br85 1.04 1.45E+04 3.40E+03 7.35E-03 9.70E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br87 1.62 3.80E+04 4.32E+02 1.32E-15 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 br88 2.5 6.62E+04 1.79E-02 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ce143 0.4325 6.11E+02 6.11E+02 6.03E+02 5.66E+02 5.21E+02 4.68E+02 3.72E+02 1.36E+02 2.99E+01 2.40E+00 7.55E-04 8.54E-15 6.25E-28 0.00E+00 0.00E+00 0.00E+00 ce144 0.0922 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.02E+02 1.01E+02 1.00E+02 9.90E+01 9.53E+01 8.44E+01 7.28E+01 6.14E+01 5.12E+01 4.19E+01 cs134 0.1636 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.43E+01 3.42E+01 3.41E+01 3.39E+01 3.35E+01 3.20E+01 3.02E+01 2.84E+01 2.64E+01 2.45E+01 cs136 0.1389 7.09E+00 7.09E+00 7.06E+00 7.03E+00 6.97E+00 6.88E+00 6.73E+00 6.05E+00 5.16E+00 3.97E+00 1.71E+00 1.23E-01 5.22E-03 1.30E-04 2.38E-06 3.17E-08 cs137 0.187 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.58E+01 2.57E+01 2.57E+01 2.55E+01 2.55E+01 2.53E+01 2.52E+01 cs138 1.2067 2.00E+03 1.77E+03 5.80E+02 1.22E+01 6.95E-02 1.09E-04 7.37E-11 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i131 0.1917 7.90E+03 7.90E+03 7.86E+03 7.77E+03 7.69E+03 7.53E+03 7.24E+03 6.10E+03 4.71E+03 3.06E+03 7.69E+02 1.04E+01 5.85E-02 1.41E-04 2.01E-07 1.71E-10 i132 0.4953 2.95E+04 2.87E+04 2.19E+04 9.16E+03 3.11E+03 1.09E+03 5.02E+02 3.15E+02 1.67E+02 5.75E+01 1.91E+00 4.59E-05 1.31E-10 4.47E-17 4.25E-24 1.13E-31 i133 0.4106 3.53E+04 3.52E+04 3.42E+04 3.09E+04 2.71E+04 2.29E+04 1.59E+04 3.21E+03 2.91E+02 5.34E+00 1.48E-05 6.35E-23 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i134 0.6223 6.00E+04 5.55E+04 2.75E+04 2.63E+03 1.13E+02 2.19E+00 3.67E-04 1.21E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i135 0.367 2.94E+04 2.91E+04 2.64E+04 1.93E+04 1.26E+04 7.45E+03 2.33E+03 1.47E+01 7.40E-03 2.35E-08 5.95E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i137 1.965 8.10E+04 3.05E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 i138 2.9 5.98E+04 1.20E-12 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 la140 0.537 8.36E+02 8.36E+02 8.36E+02 8.34E+02 8.33E+02 8.32E+02 8.25E+02 7.77E+02 6.80E+02 5.24E+02 2.20E+02 1.46E+01 5.58E-01 1.25E-02 1.99E-04 2.32E-06 la143 1.3238 1.87E+03 1.39E+03 9.89E+01 1.46E-02 1.13E-07 4.63E-14 4.13E-28 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 mo99 0.3922 6.06E+02 6.05E+02 5.99E+02 5.81E+02 5.58E+02 5.29E+02 4.71E+02 2.85E+02 1.33E+02 3.78E+01 6.67E-01 2.22E-06 5.93E-13 1.27E-20 5.99E-29 5.58E-38 nb95 0.0444 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.42E+01 6.40E+01 6.35E+01 6.05E+01 4.48E+01 2.71E+01 1.38E+01 6.36E+00 2.68E+00 nb95m 0.1663 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.68E+00 2.66E+00 2.62E+00 2.51E+00 2.13E+00 1.24E+00 6.46E-01 3.03E-01 1.33E-01 5.47E-02 pr143 0.3142 4.37E+02 4.37E+02 4.37E+02 4.37E+02 4.36E+02 4.35E+02 4.33E+02 4.06E+02 3.56E+02 2.78E+02 1.23E+02 9.52E+00 4.44E-01 1.24E-02 2.56E-04 3.87E-06 pr144 1.2075 1.35E+03 1.34E+03 1.33E+03 1.33E+03 1.33E+03 1.33E+03 1.33E+03 1.32E+03 1.31E+03 1.30E+03 1.25E+03 1.11E+03 9.54E+02 8.04E+02 6.70E+02 5.49E+02 rb88 2.0664 1.65E+03 1.32E+03 2.23E+02 3.49E+01 1.31E+01 3.88E+00 2.64E-01 2.14E-06 4.98E-14 9.35E-27 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb89 1.0131 1.05E+03 7.98E+02 6.79E+01 1.85E-02 3.27E-07 3.74E-13 3.18E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 rb90 1.75 1.78E+03 3.49E+02 1.47E-04 8.29E-26 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 ru103 0.0748 1.06E+02 1.06E+02 1.06E+02 1.05E+02 1.05E+02 1.05E+02 1.04E+02 1.00E+02 9.50E+01 8.70E+01 6.56E+01 2.71E+01 9.40E+00 2.73E+00 7.15E-01 1.68E-01 ru106 0.01 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.40E+00 6.38E+00 6.36E+00 6.34E+00 6.28E+00 6.08E+00 5.55E+00 4.95E+00 4.35E+00 3.78E+00 3.24E+00 sr89 0.5832 5.68E+02 5.68E+02 5.68E+02 5.66E+02 5.65E+02 5.64E+02 5.60E+02 5.45E+02 5.23E+02 4.88E+02 3.92E+02 1.98E+02 8.68E+01 3.32E+01 1.17E+01 3.81E+00 sr90 0.1957 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.94E+01 1.93E+01 1.93E+01 1.92E+01 1.91E+01 1.90E+01 1.89E+01 sr91 0.6555 8.54E+02 8.48E+02 7.93E+02 6.38E+02 4.77E+02 3.32E+02 1.48E+02 4.51E+00 2.38E-02 3.82E-06 2.76E-18 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 sr95 2.21 2.80E+03 1.35E-01 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 tc99m 0.0162 2.23E+01 2.23E+01 2.23E+01 2.20E+01 2.15E+01 2.07E+01 1.87E+01 1.14E+01 5.33E+00 1.51E+00 2.67E-02 8.89E-08 2.37E-14 5.08E-22 2.40E-30 0.00E+00 te129 0.5443 1.43E+02 1.36E+02 8.69E+01 2.99E+01 1.94E+01 1.84E+01 1.81E+01 1.74E+01 1.64E+01 1.48E+01 1.06E+01 3.79E+00 1.10E+00 2.59E-01 5.40E-02 9.96E-03 te129m 0.2601 1.38E+01 1.38E+01 1.38E+01 1.38E+01 1.37E+01 1.37E+01 1.35E+01 1.30E+01 1.22E+01 1.10E+01 7.94E+00 2.83E+00 8.16E-01 1.93E-01 4.03E-02 7.44E-03 te131 0.7192 5.11E+02 4.38E+02 1.18E+02 2.46E+01 2.18E+01 1.95E+01 1.51E+01 4.97E+00 9.43E-01 5.90E-02 8.26E-06 7.51E-18 2.67E-32 0.00E+00 0.00E+00 0.00E+00 te131m 0.2024 3.28E+01 3.27E+01 3.21E+01 2.99E+01 2.73E+01 2.43E+01 1.89E+01 6.22E+00 1.18E+00 7.39E-02 1.03E-05 9.38E-18 3.34E-32 0.00E+00 0.00E+00 0.00E+00 te132 0.1021 1.19E+02 1.19E+02 1.18E+02 1.15E+02 1.11E+02 1.06E+02 9.65E+01 6.30E+01 3.33E+01 1.15E+01 3.81E-01 9.18E-06 2.62E-11 8.94E-18 8.50E-25 2.24E-32 te133 0.8189 8.27E+02 6.24E+02 9.33E+01 7.25E+00 3.60E-01 8.44E-03 2.19E-06 4.91E-22 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te133m 0.7047 5.57E+02 5.16E+02 2.63E+02 2.77E+01 1.37E+00 3.22E-02 8.33E-06 1.87E-21 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 te134 0.2995 4.92E+02 4.46E+02 1.82E+02 9.21E+00 1.72E-01 1.19E-03 2.10E-08 3.81E-29 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y89m 0.4 3.58E-01 3.62E-02 3.62E-02 3.61E-02 3.60E-02 3.59E-02 3.57E-02 3.48E-02 3.34E-02 3.12E-02 2.50E-02 1.26E-02 5.53E-03 2.12E-03 7.48E-04 2.43E-04 y90 0.9349 9.84E+01 9.84E+01 9.84E+01 9.82E+01 9.80E+01 9.76E+01 9.70E+01 9.52E+01 9.38E+01 9.28E+01 9.24E+01 9.22E+01 9.18E+01 9.14E+01 9.08E+01 9.04E+01 y91 0.6022 7.24E+02 7.24E+02 7.24E+02 7.24E+02 7.24E+02 7.22E+02 7.20E+02 7.04E+02 6.79E+02 6.40E+02 5.30E+02 2.93E+02 1.44E+02 6.27E+01 2.56E+01 9.65E+00 6
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE Table 4 - Beta Dose Rates (rad/hr) and Total Integrated Dose (MRad) for a Point in an Infinite Sump Isotope (MeV) initial 0.1 hr 1.0 hr 4.0 hr 8.0 hr 13.0 hr 24.0 hr 72.0 hr 144.0 hr 264.0 hr 648.0 hr 1848.0 hr 3288.0 hr 4968.0 hr 6792.0 hr 8760.0 hr y91m 0.0273 2.06E+01 2.06E+01 2.01E+01 1.68E+01 1.26E+01 8.74E+00 3.93E+00 1.19E-01 6.29E-04 1.01E-07 7.28E-20 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 y95 1.5277 2.36E+03 1.64E+03 4.66E+01 3.21E-04 4.24E-11 1.06E-19 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 zr95 0.1163 1.69E+02 1.69E+02 1.69E+02 1.69E+02 1.69E+02 1.68E+02 1.68E+02 1.64E+02 1.59E+02 1.50E+02 1.26E+02 7.35E+01 3.85E+01 1.80E+01 7.89E+00 3.25E+00 Dose Rate (rad/hr) 4.59E+05 1.89E+05 1.31E+05 7.70E+04 5.74E+04 4.55E+04 3.21E+04 1.50E+04 9.91E+03 7.29E+03 3.95E+03 2.06E+03 1.52E+03 1.17E+03 9.48E+02 7.81E+02 Int. Dose (MRad) 0 0.03 0.18 0.49 0.76 1.01 1.44 2.57 3.47 4.50 6.66 10.26 12.84 15.10 17.03 18.73 7
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE 45.00 40.00 Total 35.00 Gamma Beta Infinite Sump Water Integrated 30.00 25.00 20.00 15.00 10.00 Dose (MRad) 5.00 0.00 10 100 1000 Time Since Start of Accident (Days)
Figure 1 - Total Integrated Dose to a Point inside an Infinite Sump Water Source 8
ATTACHMENT (1)
EVALUATION OF ACID PRODUCTION BY BETA DOSE
REFERENCES:
- 1. Lamarsh, J. R., Introduction to Nuclear Engineering, 2nd Edition, 1983
- 2. ICRP Publication 38, Radionuclide Transformations: Energy and Intensity of Emissions, 1983
- 3. Calculation 0090-0148-01, Mass of Sodium Tetraborate Decahydrate Buffer Required for Post-LOCA, Containment Building Sump pH Control, August 25, 2008
- 4. Brookhaven National Laboratory Chart of Nuclides http://www.nndc.bnl.gov/chart/)
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