docket no. 50-271 bvy 03-116 · "transition to isolated condition not credited location of tsc...

--

. ;1~

Docket No. 50-271BVY 03-116

Attachment 4

Vermont Yankee Nuclear Power Station

Proposed Technical Specification Change No. 262

Supplement No. 4

Alternative Source Term

Non-Proprietary Version of Calculation PSAT 301 9CF.QA.09

"Alternative Source Term Impact on NUREG-0737 Equipment Qualification,Vital Area Access, and Areas of Continuous Occupancy."

PSAT 3019CF.QA.09 Pg 1 of 25Rev I

CALCULATION TITLE PAGE

CALCULATION NUMBER: PSAT 3019CF.QA.09

CALCULATIONT'ILE: AltenMaive SoUrce Term kPM On oNUREG-0737 EqupmnentQualification, Vital Area Access, and Areas of ContinuousOccupacy

ORIGINATORPrintlSifgpn ate

CHECKERPrint,/StunAate

IND REVIEWERPdint/Sigw~ate

REV: 0 James Metcalf Vera Geba

R. Shcr(ftr MicroShield Modefg - Section 3)

Vera Geba

I James Metcalf Davc Leaver Dave Leaver

2

3

4

REASON FOR REVISION: Noniconformance Btpt

0- initialissue N/A

I1- Complicevith I OCFR2.790, June 2003 NIAProprietay designation removed fiom all pages except first

page and those actually contaning propietary informationProprietary information on each proprietary page designated in 11bracktsll

UNCONTROLLED COPYFOR INFORMATION ONLY

PSAT 3019CF.QA.09 Pg2of25Rev I

Table of Contents

Section Page

Purpose 2

Summary of Results 3

Methodology 3

Assumptions 3

References 3

Design Inputs 4

Calculation 7

Results 24

Conclusions 25

Attachment 1 - RB Activities vs. Time for TSC Shine Calculation (3 pages)

Attachment 2 - Vermont Yankee TSC Integrated Dose Calculation (13 pages)

Attachment 3 - Impact of Skyshine on the Vermont Yankee TSC Integrated Dose Calculation (4pages)

Attachment 4 - MicroShield 5 Verification Using QADMOD-GP (26 pages).

Purpose

This calculation is prepared by Polestar Applied Technology, Inc. for Vermont Yankee (VY) todetermine the impact of AST (Reference 1) on three aspects of NUREG-0737 (Reference 2) underItem ll.B.2, Plant Shielding. These are:

Equipment Qualification,

Vital Area Access, and

Protection of Areas Requiring Continuous Occupancy (e.g., Control Room and Technical SupportCenter).


Summary of Results

1. Equipment Qualification can continue to be based on TID-14844.

2. Vital area access can continue to be based on TID-14844

3. The 30-day TSC dose is 3.5 rem TEDE. This is less than the 5 rem TEDE limit.

Methodology

The calculation is divided into three sections in order to address each of the three topics. TheEquipment Qualification (EQ) section is, for the most part, qualitative since the NRC's position onthe potential need for modifying EQ requirments has been made known (Reference 3), and Polestaragrees that no change in approach is warranted.

For vital area access, Polestar is providing a generic assessment of the dose potential for both shineand inhalation doses, comparing the AST (Reference 1) to the current licensing basis (CLB) for VYwhich is TID-14844 (Reference 4). It is shown that TID-14844 is inherently limiting, and that achange in source terms alone is not a basis for reassessing vital area access. If changes are neededfor other reasons, it is acceptable to continue to use the TID-14844 source terms and to makechanges within that context. For example, for Extended Power Uprate (EPU) it would be necessaryto scale up the result by core inventory impact, but not to necessarily change the source term used inthe analysis.

For the Technical Support Center (TSC), a reanalysis of the 30-day dose has been made based onthe reanalysis of the Control Room 30-day dose in Reference 5. In Reference 5, the STARDOSE1.01 code (Reference 6) was used only for independent verification; but in this analysis, it is used togenerate the activities used for assessment of both the inhalation and the shine pathways for theTSC.

Assumptions

None other than those discussed in Reference 5.

References

1. "Alternative Radiological Source Terms for Evaluating Design Basis Accidents atNuclear Power Reactors", US NRC Regulatory Guide 1.183, Revision 0, July 2000.

2. NUREG-0737, "Clarification of TMI Action Plan Requirements", November 1980

3. Memorandum from Jack Rosenthal (Safety Margins and Systems Analysis Branch Chief)to Ashok Thadani, Director of NRR (ADAMS Accession No. MLOI 12103480), April 30,2001

PSAT 3019CF.QA.09 Pg 4 of 25Rev 1

4. J.J. DiNunno et al., "Calculation of Distance Factors for Power and Test Reactor Sites",USAEC TID-14844, US Atomic Energy Commission (now US NRC), 1962

5. PSAT 3019CF.QA.08, "Radiological Evaluation of a DBA-Loss of Coolant Accident",Revision 0

6. "STARDOSE Model Report", Polestar Applied Technology, Inc., PSAT Cl 09.03 January1997.

7. PSAT 3019CF.QA.03, "Design Database for Application of the Revised DBA SourceTerm to Vermont Yankee", Revision 2.

8. S. L. Humphries et al, "RADTRAD: A Simplified Model for Radionuclide Transport andRemoval and Dose Estimation", NUREG/CR-6604, Sandia National Laboratories,December 1997

9. Memorandum to File from James Metcalf "Generalization of Spreadsheet Methodologyfor Comparing TID-14844 and AST Gamma Shine Dose Potential", July 27, 2003

10. MicroShield Version 5.03, 1995-1998,pGrove Engineering

Design Inputs

Design Input Data (Reference 7 for all inputs except those taken from Reference 5, Item numbersgiven in parentheses):

Power level = 1950 MWtCore inventories - see Reference 7 tableAST Release rates:Fraction of core inventory, 0- 120 seconds:

No Release

(Item 8.1)(Item 1.1 - full core inventory at t = 0)

(Item 2.1)

Fraction of coi

Fraction of col

re inventory, 120 - 1920 seconds:Gases Xe, Kr - 0.1/hr (0.05 total)

Elemental I - 4.9E-3/hr (2.4E-3 total)Organic I- 1.5E-4/hr (7.5E-5 total)

Aerosols I, Br - 0.095/hr (0.0475 total)Cs, Rb - 0.1I/hr (0.05 total)

re inventory, 1920 - 7320 seconds:Gases Xe, Kr - 0.63/hr (0.95 total)

Elemental I - 8.1E-3/hr (1.2E-2 total)Organic I - 2.5E-4/hr (3.8E-4 total)

Aerosols I, Br - 0.158/hr (0.2375 total)Cs, Rb - 0.133/hr (0.2 total)Te Group - 0.033/hr (0.05 total)Ba, Sr - 0.013/hr (0.02 total)Noble Metals - 1.7E-3/hr (2.5E-3 total)

(Item 2.2)

(Item 2.3)


La Group - 1.3E-4/hr (2E-4 total)Ce Group - 3.3E-4/hr (5EA4 total)

Volume of Drywell - 131,470 ft3 (max), 128,370 ft3 (min)Volume of Torus Airspace - 103,932 ft3 (min)Volume of Suppression Pool - 68,000 ft3 (min), 70,000 ft3 (max)Volume of Main Condenser (MC) - 107,000 ft3

Reactor Building Volume (for TSC shine caic) - 1,786,049 ft3Fraction of Reactor Building Volume above Refueling Floor - 0.33*

(Item 3.1)(Item 3.2)(Item 3.3)(Item 3.5)(Item 3.19)(Item 3.20)

*584,406 ft3/1,786,049 ft

Volumetric Leak Rate from Drywell (not including MSIVs) - 0.713 cfm (Item 3.6)This represents 0.8% of the minimum DW volume per day (Item 3.1).

Volumetric Leak Rate from Torus Airspace - 0.577 cfm (Item 3.7)This represents 0.8% of the torus airspace volume per day (Item 3.2).

Volumetric Flowrates for MSIV and Nitrogen Supply Bypass:From Drywell, for Each of Two Main Steam Lines - 0.383 cfmFrom Main Steam Lines, Combined Flow to Main Condenser - 3.91 cfmFrom Main Steam Lines, Combined Bypass Flow - 0.032 cfmFrom Main Condenser, to Environment - 2.05 cfmNitrogen Steam Supply Bypass - 0.031 cfm (Reference 5)

Reduction in Containment Leakage at 24 Hours -50% (Reference 5)

ESF Leakage - 0.5 gpm analyzed as 1.0 gpm, assumed to start at t = 0Release Fraction of Radioiodine from ESF leakage - 10%

(Item 3.10)(Item 4.3)

Lengths and Diameters of Nitrogen Supply Bypass Pathway- (Item 7.13)4.67 ft (18") + 16 ft (1" horizontal coil) + 16.42 ft (1") + 22.75 R (2')

Particulate Deposition Velocity in Nitrogen Supply Bypass Pathway = 5E-5 m/s (Reference 5)

Secondary Containment Drawdown Time, 0 minutes with all SGTS (Item 8.11)10 minutes with one SGTS train failed**

*During the 10 minutes, the Reactor Building pressure is actually negative for at least four minutes (the ReactorBuilding begins at a negative pressure). Positive pressure will not occur beyond t = 10 minutes (accident time).

Drywell Spray Removal, t = 0.25 hours to t = 2.0667 hoursA for particulate and elemental = 20 per hour (Reference 5)

Drywell Spray Removal, t = 2.0667 hours to t = 720 hoursX for particulate and elemental = 2 per hour (Reference 5)

Nominal SGTS Single-Train Flow (with +/- 150 cfm) - 1500 cfm (Item 3.14)Filter Efficiency- SGTS (Item 4.2)

For Particulate Iodine, Cesium and other Aerosols - 95%For Elemental and Organic Iodine - 95% (no credit for charcoal filtration)For Noble Gases - 0%

PSAT 3019CF.QA.09

Main Steam Line Removal Efficiencies (from Reference 5)

Pg 6 of 25Rev I

Aerosol Removal Efficiency Elem Iodine Removal EfficiencSteam Lines*, 62 scfhfLine 38% Assumed NegligibleSame, One MSIV Failed 0% 0%ALT Volume** 71% 58%Same, One MSIV Failed Assumed No Change Assumed No ChangeCombined SL and ALT 82% 58%Same, One MSIV Failed 77% Assumed No ChangeMain Condenser 95.1% 99.8%

*Betaeon MSIVs**Remainder of steam lines up to turbine stop valves

Volume of Control Room (CR) - 41,533.75 ft3 (Item 3.4)Volumetric Flowrate, Environment to CR (Pre-isolation Fresh Air Intake, Unfiltered) - 3700 cfin

Environment to CR (Post-Isolation, Unfiltered) - 3700 cfm (Items 3.8/3.18)Time to Isolate CR Ventilation for DBA-LOCA - N/As (Item 9.3)

"Transition to isolated condition not credited

Location of TSC Dose Pointe: Elevation = 260.5' + 3' (6' person) = 263.5' (Item 10.1)Elevation of TSC Overhead Shield = 272.5'Distance from Reactor Building Centerline = 115' West

= 112' North"maximum value identified as "Location 3" in reference calculation

Thickness of TSC Overhead (assumed to be -150 lbm/ft3 concreted##) - 8" (Item 10.2)""2.35 glcc

X/Q values in sec/m3:Building 0-2 hr 0-1 hr 1-2 hr 2-8 hr 8-24 hr 1-4 day 4-30 dayReleasesEAB ground 1.7 E-3 for TB --- --- N/A N/A N/A N/A(Item 5.1) 1.476E-3 for RBEAB stack Fumigation: N/A N/A N/A N/A(Item 5.1) 2.03E-4 (0.5 hr)

Normal:1.54E-4 (0.5 hr)9.17E-5 (1.0 hr)

LPZ ground -- 2.74E-5 1.75E-5 8.01E-6 1.00E-6 5.80E-7 3.37E-7(Item 5.2) TBtRB4 TB tRB I TBtRB& TB tRB X TB tRB I TB tRB I

5.253E-5 5.253E-5 2.227E-5 1.469E-5 5.948E-6 1.625E-6LPZ stack --- 2.55E-5 1.87E-5 l.O1E-5 1.09E-6 6.90E-7 4.61E-7(Item 5.2)Control --- 4.66E-3 4.66E-3 3.46E-3 1.45E-3 1.09E-3 9.92E-4Room ground TB tRB 4 TB tRB 4 TB tRB I TB tRB 4 TBtRB4 TBtRB4(Item 5.3) 2.25E-3* 2.25E-3 8.18E-4 3.53E-4 2.77E-4 2.23E-4


Control Fumigation: --- --- 8.28E-7 3.36E-7 3.08E-7 1.79E-7Room stack 1.92E-5 (0.5 hr)(Item 5.3) Normal:

1.92E-5 (0.5 hr)1.92E-5 (1.0 hr) __

*This is for the N2 system sustained bypass. For short-term drawdown bypass, use 2.98E-3

Control Room breathing rates in m3/s (Item 5.4):0-30 days 3.5E-4

EAB & LPZ breathing rates in m3/s (Item 5.4):0-8 hr 3.5E-414 days 1.8E-44-30 days 2.3E-4

Control Room occupancy factors (Item 5.5):0 - 24 hours 1.01-4 days 0.64-30 days 0.4

Dose Conversion Factors: Default FGR1 1&12.INP file from Reference 8

Calculation

Section I -Impact ofJAST on Equipment Qualification

1. Regulatory Guide 1.183 (Reference 1) states the following (Section 1.3.5):

"Current environmental qualification (EQ) analyses may be impacted by a proposed plantmodification associated with AST implementation. The EQ analyses that have assumptionsor inputs affected by the plant modification should be updated to address these impacts. TheNRC staff is assessing the effect of an increased cesium release on EQ doses to determinewhether licensee action is warranted. Until such time as this generic issue is resolved,licensees may use either the AST or the TID 14844 assumptions for performing the requiredEQ analyses. However, no plant modifications are required to address the impact of thedifference in source term characteristics (i.e., AST vs TID14844) on EQ doses pending theoutcome of the evaluation of the generic issue. The EQ dose estimates should be calculatedusing the design basis survivability period."

2. The generic issue (or more accurately, the candidate generic issue) was closed out on April30, 2001 (ten months after the issuance of Regulatory Guide 1. 183) with the issuance of amemorandum from Jack Rosenthal (Safety Margins and Systems Analysis Branch Chief) toAshok Thadani, Director of NRR (ADAMS Accession No. MLO 12103480). Thismemorandum states the following:

"The panel has decided that the candidate generic issue should be dropped as having nosignificant chance of meeting the incremental risk thresholds for backfit as described in theMD 6.4 Handbook."


It is important to note, of course, that backfit criteria would not necessarily be applied inaccepting or denying a voluntary licensing action. However, in this regard, one must notethat the NRC, itself, tied the EQ requirements of Regulatory Guide 1.183 (by definition, adocument dealing with voluntary licensing actions) to the outcome of the subject genericissue evaluation. Therefore, it is proper to consider the findings and conclusions of thegeneric issue evaluation as a way of clarifying the EQ requirements of this regulatory guide.

The generic issue evaluation further states the following:

"Sandia National Laboratories' letter report "Evaluation of Radiological Consequences ofDesign Basis Accidents at Operating Reactors Using the Revised Source Term, September28, 1998 showed that, for equipment exposed to the containment atmosphere, the TID-14844source term and the gap and in-vessel releases in the AST produce similar integrated doses.This report also showed that, for equipment exposed to sump water, the integrated dosescalculated with the AST exceeded those calculated with TID-14844 after 42 days for apressurized-water reactor (PWR) and 145 days for a boiling-water reactor (BWR) because ofthe 30% vs. 1% release of cesium."

With this finding in mind, the two key conclusions of this generic issue evaluation were (1)the determination that use of the AST is not a matter of compliance (IOCFR50.49 is silent onthe exact source term to be used, and Regulatory Guide 1.89 actually specifies TID-1 4844)and (2) it is not a matter of safety significance. In connection with this last point, the onlyissue even mentioned regarding safety significance is decay heat removal for PWRs (with the42-day change in the bounding sump water source term). BWRs (and the 145-day change inthe bounding sump water, or more exactly, suppression pool, source term) are not mentioned.

3. Polestar's view is that the long-term impact of cesium, particularly for a BWR, is a notsignificant and concurs with the position expressed in the NRC memorandum.

Section 2-Impact ofASTon VitalArea Access

To determine the accessibility of areas in the plant where post-accident actions must be taken,one must consider both the radiation levels and the airborne contamination levels in those areas.This, in combination with the duration of the post-accident operation being evaluated, determinesthe accessibility of the area.

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Section 3 - Technical Support Center (TSC) Habitability

Continuous occupancy of the CR is covered in Reference 5. In Appendix B of Reference 5, aSTARDOSE model is presented which calculates the CR dose. The same ventilation system whichserves the CR also serves the TSC; and as with the CR, there is no filtration of the makeup airsupply. Therefore, the TSC dose from activity brought into the ventilation system will be the sameas that for the CR.

Where the assessment of TSC habitability differs from the assessment of CR habitability is in thearea of external radiation effects. The TSC is not heavily shielded in the same manner as the CR.Therefore, some conservatisms in the RB drawdown bypass modeling and in the nitrogen supplyRB bypass modeling that were included for the CR have been relaxed for the TSC. Therefore, thissection has two parts: (1) a recalculation of the CR/TSC doses from activity brought in through thecommon ventilation system using the STARDOSE model (but with some of the bypassconservatisms relaxed and including holdup within the RB for consistency with the TSC externalshine calculation), and (2) a recalculation of the TSC external shine using the RB activities as afunction of time developed in the previous section (Attachment 1).

The case analyzed is the limiting case for the CR dose from Reference 5; i.e., failure of one SGTStrain. This failure also maximizes the activity within the RB (as it was analyzed in the previoussection).

Dose from Activity Entering the CR/RSC Ventilation Supply for the DBA-LOCA

The bypass refinements are as follows:

* Credit is taken for the fact that during the nominal 10-minute drawdown time, the RB isactually at a positive pressure for only six minutes (see Design Input). The six minutes ofpositive pressure are assumed to be at the end of the 10-minute period.


* Credit is taken for particulate deposition in a portion of the nitrogen supply leakage pathwayleading from the PC to the south wall of the RB. This credit makes use of the same modelingas that used for the MSIVs.

To make this latter calculation, the nitrogen supply bypass pathway data from the Design Inputsection is used. A summary of the nitrogen supply bypass particulate removal calculation is asfollows:

Bypass Particulate Removal EfficiencyReference bypass leakage volumetric flow =N2 bypass temp = 70 F, DW temp and p =

Total volumetric N2 line flow from DW = 0.03'Bypass Line Segment #: 1D = 18 inches,A= 1.77 ft2Length = 4.67 feet for settling, V = 8.2'Residence time = 99 min = 1.6'Settling velocity = 5.00E-05 m/s, lambda =Eff = 45%Bypass Line Segment #: 2D = 1 inches, A= 0.01 ft2Length 16 feet for settling, V = 0.0'Residence time = 1 min = 0.0:Settling velocity = 5.00E-05 m/s, lambda =Eff= 14%Bypass Line Segment #: 3D = I inches, A= 0.01 ft2Length 16.42 feet for settling, V = o.o0Residence time = I min = 0.0,Settling velocity = 5.OOE-05 m/s, lambda =Eff = 14%Bypass Line Segment #: 4D = 2 inches, A= 0.02 ft2Length 22.75 feet for settling, V = 0.5(Residence time = 6 min = 0.11Settling velocity = 5.OOE-05 m/s, lambda =Eff= 31%Net Eff 72%

5 scfh32844

1 cfm

5 ft35 hours

0.50

1 ft32 hours

9.02

1 1132 hours

9.02

3 t31 hours

4.51

F andpsig

per hour

per hour

per hour

per hour

The STARDOSE results for this case are as follows:

Total dose:Noble gasOrg iodineElem iodinePart iodineCesiumTelluriumBariumNoble metal

thyroid4.76E+001O.OOE+0001.59E+0012.12E+0002. 88E+0015.72E-0011. 90E-0013.97E-0042.50E-004

wbody6.0OBE-0025.70E-0021.69E-0042 .28E-0043.17E-0032 .36E-0042 .37E-0063 .16E-0050.OOE+000

skin2.43E+0002.38E+0002.76E-0032.77E-0033. 86E-0020. OOE+000O.OOE+000O.OOE+0000.OOE+000

CEDE2.22E+000o.OOE+0004.86E-0016.67E-0029.09E-0016.39E-0019.30E-003l.59E-0031.49E-002


Lanthanides 2.98E-005 O.OOE+000 O.OOE+000 .3.O1E-002Cerium 1.40E-005 O.OOE+000 O.OOE+000 5.02E-002Strontinum 8.33E-004 O.OOE+000 O.OOE+000 1.04E-002

The 30-day post-DBA-LOCA dose contribution from activity entering the TSC is 2.3 rem TEDE.

TSC Shine Calculation

The updated TSC shine calculation has been done with MicroShield MS5 (Reference 10). Thelimiting TSC dose point is identified in the Design Input section.

The modeling was developed using preliminary information (i.e., preliminary values for the RBactivities as a function of time, building volume, dose point location, etc.). The development of thepreliminary modeling is documented in a memo to file included as Attachment 2. The preliminaryvalues for RB activities (analogous to Attachment 1 to this calculation) are included as anattachment to that memo to file. The use of MicroShield in the manner described in Attachment 2has been independently verified in two ways. Not including the effects of skyshine wasindependently verified in a second memo to file (Attachment 3), and the use of MicroShieldcylindrical geometry with a vertical annulus shield was independently verified using QADMOD-GP in a third memo to file (Attachment 4). While this work was conducted using preliminaryinformation, the final inputs were very close to (and qualitatively the same as) the preliminaryinformation used to qualify the approach. Therefore, verification of the final MicroShield analysisconsisted of verifying that inputs from Attachment 1 and the Design Input section of thiscalculation were used.

The integrated 30-day shine dose for the TSC consists of two parts: the MicroShield analysiscontribution of shine from activity within the RB and a contribution from the external cloud. Fromthe Design Input section, the contribution from the external cloud is determined to be 15 times thewhole body dose from sources internal to the TSC which is 15 x 0.062 rem or 0.93 rem. Theintegrated 30-day contribution from the MicroShield analysis (for the worst dose point identified inthe Design Input section) is 0.27 rem. The total 30-day external shine dose is, therefore, 0.93 rem +0.27 rem = 1.2 rem.

TSC Total 30-day Habitability Dose

The combined dose including the contribution from activity entering the TSC and from externalshine is 3.5 rem TEDE. This is within the 5 rem TEDE limit for the TSC.

Results

Section 1 - Impact ofAST on Equipment Qualification

No change is required in the basis for equipment qualification. Continued use of the TID-14844source term as the basis for EQ is validated by the NRC generic dispositioning of the question ofAST cesium impact on EQ programs. This is discussed further in the calculation section on thistopic.


Section 2 -Impact ofASTon Vital Area Access

* For doses from waterborne sources, TID-14844 will control dose rates for at least the first.day and (with shielding considered) perhaps longer. The areas affected by waterborne souceswill be controlled by access within the first day-, and therefore, the TID-14844 dose rates willbe greater than those of the AST.

* For doses from airborne sources (which are typically more controlling than waterbornesources in any case), the airborne dose rates will always be controlled by TID-14844 giventhat release pathways from the PC and/or the RB remain the same.

• For both waterborne and airborne cases, any increase in power level and/or burnup affectingthe core inventory would need to be taken into account. However, the TID-14844 sourceterm can remain as the basis.

Section 3 - Technical Support Center (TSC) Habitability

The 30-day dose for an occupant of the TSC (assuming the same occupancy as the CR) is 3.5rem.TEDE.

Conclusions

The TID-14844 source term is generally more limiting than the AST. For EQ, a genericNRC/Sandia evaluation of the EQ implications of the AST (and the associated additional cesiumrelease) concludes that the TID-14844 source term can continue to be used as the EQ basis. Forvital area access, the TID-14844 source term produces more limiting dose rates than does the AST.For the TSC, the 30-day habitability dose for the DBA-LOCA is less than the 5 rem TEDE limit.

PSAT 3019CF.QA.08 Attachment 1 Pg I of 3Rev 0

RB Activities vs. Time for TSC Shine Calculation

Hours:

Kr83m

KrBSm

KrBS

Kr8 7

IKr88

Kr89

Xe13lm

XeI33m

Xe133

Xe13Sm

Xel3S

XeI37

Xel38

1l310rg

11320rg

11330rg

1134 Org

113 SOrg

I13121em

1132Elem

I133Elem

1134E1em

1l3SElem

1132.Part

Il32Part

1133Part

I2.34Part

113SPart

Rb86

Cs134

Cs136

Cs137

1. 97E+02

5.59E+02

3.41E+01

7.57E+02

1.4 SE+03

4.93E-03

2.14E+01

1.17E+02

3.88E+03

5.36E+01

1.52E+03

8.06E-02

2.95E+02

1. 53E+00

1.62E+00

3. 01E+00

l.SSE+00

2.61E+00

8. 94E+00

1.07E+01

1.762+01

9.06E+00

1. 53E+01

1.75E+02

1.85E+02

3.45E+02

1.78E+02

3.00E+02

6.18E-01

7.3SE+01

1. 88E+0.

2.94E+0l

2

9.76E+02

3.44E+03

2.46E+02

3.16E+03

8.15E+03

7.51E-08

1.54E+02

8.35E+02

2.79E+04

2.69E+01

1.02E+04

1.37E-OS

1.84E+02

7.37E+00

5.81E+00

1.41E+01

3.36E+00

1.14E+01

2.22E+01

2.87E+01

4.24E+01

1.01E+01

3.43E+01

4.34E+02

3.42E+02

8.31E+02

1.98E+02

6.73E+02

1.13E+00

1.34E+02

3.43E+01

5.38E+01

4

1. 60E+03

8.70E+03

8.51E+02

3.66E+03

1.72E+04

1.16E-18

S.31E+02

2.82E+03

9.56E+04

4.53E-01

3.21E+04

2.63E-14

4.76E+00

2.29E+01

1. 01E+01

4.14E+01

2.12E+00

2.92E+01

4.17E+0l

5.75E+01

7.52E+01

3.84E+00

5.30E+01

8.16E+02

3.58E+02

1.47E+03

7.53E+01

1.04E+03

1.33E+00

1. 59E+02

4.04E+02

6.36E+01

8

8.01E+02

1.04E+04

1.91E+03

9.2 0E+02

1.43 E+04

5.28E-41

1.18E+03

6.01E+03

2.10E+05

2.39E-05

5.94E+04

1.84E-32

5.96E-04

4.95E+0l

6.69E+00

7.94E+01

1.87E-0l

4.23E+01

6.79E+01

6.33E+01

1.09E+02

2.55E-01

5.78E+01

1.33E+03

1.79E+02

2.13E+03

5.00E+00

1.13E+03

1.14E+00

1.37E+02

3.4 5E201

5.47E+01

16

7.40E+0l

5.40E+03

3.52E+03

2.13E+01

3.642+03

3.96E-86

2.13E+03

1.OOE+04

3.75E+05

2.45E-14

7.21E+04

3.26E-69

3.44E-12

8. 80E+01

1.13E+00

1. 11E+02

S.SSE-04

3.39E+01

1. OSE+02

4.21E+01

1.32E+02

6.60E-04

4.03E+01

2.05E+03

2.63E+01

2.59E+03

1.29E-02

7.90E+02

7.82E-01

9.51E+01

2.36E+01

3.81E+01

24

4.87E+00

2.01E+03

4.63E+03

3.52E-01

6. 62E+02

2.75E+03

1.19E+04

4.76E+05

1.79E-23

6.02E+04

1.41E-20

1. 12E+02

1.37E-01

1.12E+02

1.18E-06

1.96E+0l

1.28E+02

2.69E+01

1.28E+02

1.35E-06

2.23E+0l

2.S0E+03

3.06E+00

2.50E+03

2.64E-05

4.36E+02

5.37E-01

6.61E+01

1.61E+01

2.65E+01

48

5.18E-04

3.84E+01

3.94E+03

5.93E-07

1.47E+00

2.21E+03

7.51E+03

3.62E+05

2.60E-S1

1. 19E+04

3.67E-46

8.92E+01

9.36E-OS

4.37E+01

4.40E-IS

1.43E+00

1.53E+02

7.27E+00

7.52E+0l

7.56E-1S

2.46E+00

3.00E+03

3.15E-03

1.47E+03

1.48E-13

4.82E+01

1.74E-01

2.22E+01

5.142+00

8.91E+00

72

6.09E-08

8.12E-01

3.69E+03

1.10E-12

3.62E-03

1.96E+03

5.21E+03

3.04E+OS

4.17E-79

2.31E+03

1. 05E-71

7.73E+01

6.98E-08

1.86E+01

1.78E-23

1.14E-01

1.52E+02

1. 97E+00

3.65E+01

3.49E-23

2.24E-02

2.97S+03

2.68S-06

7.162+02

6.84E-22

4.39E+00

5.65E-02

7.49E+00

1.64E+00

3.00E+00

96

7.43E-12

1.78E-02

3.60E+03

2.13E-18

9.26E-06

1.8 0E+03

3.76E+03

2.63E+OS

120

9.20E-16

3.98E-04

3.56E+03

4.16E-24

2.40E-08

1.68E+03

2.75E+03

2.29E+o5

240

2.77E-35

2.25E-12

3.47E+03

1.23E-52

2.90E-21

1.23E+03

5. 95E+02

1.17E+05

720

2.36E-45

3.19E+03

6.25E-73

3.58E+02

1. 32E+00

7.83E+03

4.20E+02 7.29E+01 9.14E-03 1.76E-18

3.12E-97

6.94E+0l

5.38E-1l

8.22E+00

7.48E-32

9.44E-03

1.42E+02

5.34E-01

1.68E+0l

1.53E-31

1.93E-02

2.79E+03

2.16E-09

3.30E+02

3.OOE-30

3.79E-001

1.83E-02

2.52E+00

5.24E-01

1. 01E+00

6.30E+01

4.20E-14

3.67E+00

3.18E-40

7.90E-04

1.31E+02

1.45E-01

7.64E+00

6.61E-40

1.64E-03

2.57E+03

1.71E-12

1. SOE502

1.29E-38

3.22E-02

5.95E-03

8.47E-01

1.67E-01

3.40E-01

4.01E+01

1.25E-29

6.68E-02

4.51E-82

3.32E-09

8.45E+02

2.12E-04

1.41E-01

9.50E-82

7.01E-09

1. 66E+03

5.17E-28

2.76E+00

1.86E-80

1.37E-07

2.14E-OS

3.65E-03

5.55E-04

1.47E-03

6.63E+00

1.OOE-91

7.44E-09

1.06E-30

1. 43E+0l

9.74E-16

1.61E-08

6.41E-28

2.80E+02

2.47E-56

3.15E-07

4.47E-29

3.59E-1S

1.26E-12

6.74E-14

5.17E-13

PSAT 3019CF.QA.08 Attachment 1 Pg 2 of 3Rev 0

Sbl27 1.62E+00 5.35E+00 6.93E+00 5.842+00 3.83E+00 2.S5E+00 7.07E-01 1.99E-01 5.60E-02 1.58E-02 2.79E-OS 2.75E-16

Sbl29 3.81E+00 1.08E+01 1.03E+01 4.75E+00 9.26E-01 1.80E-01 1.33E-03 9.86E-06 7.29E-08 5.39E-10 1.19E-20 1.95E-49

Tel27m 2.20E-01 7.32E-01 9.63E-01 8.35S-01 5.80E-01 4.02E-01 1.35E-01 4.50E-02 1.SlE-02 5.04E-03 2.11E-OS 6.54E-1S

Tel27 1.54E+00 4.94E+00 6.47E+00 5.69E+00 3.95E+00 2.67E+00 7.79E-01 2.21E-01 6.23E-02 1.75E-02 3.11E-05 3.06E-16

Tel29m 6.55E-01 2.17E+00 2.85E+00 2.47E+00 1.71E+00 1.18E+00 3.89E-01 1.28E-01 4.24E-02 1.40E-02 5.47E-OS 1.28E-14

Tel29 3.03E+00 8.54E+00 1.12E+01 6.31E+00 1.29E+00 2.51E-01 1.86E-03 1.37E-05 1.0lE-07 7.50E-10 1.65E-20 2.71E-49

Tel31m 1.86E+00 6.05E+00 7.60E+00 6.02E+00 3.48E+00 2.01E+00 3.89E-01 7.53E-02 1.46E-02 2.82E-03 7.61E-07 4.07E-21

Tel32 1.74E+01 5.74E+01 7.41E+01 6.20E+01 4.02E+01 2.60E+01 7.05E+00 1.91E+00 5.18E-01 1.40E-01 2.06E-04 9.45E-16

Bal37m 2.85E+01 5.29E+01 6.36E+01 5.47E+01 3.81E+01 2.65E+01 8.91E+00 3.00E+00 1.OE+00 3.40E-01 1.47E-03 5.17E-13

Ba139 5.79E+00 1.17E+01 5.64E+00 6.61E-01 8.40E-03 1.07E-04 2.19E-10 4.48E-16 9.19E-22 1.88E-27 6.80E-56 1.32E-90

Ba140 9.17E+00 3.04E+01 3.98E+01 3.42E+01 2.34E+01 1.60E+01 5.10E+00 1.63E+00 5.19E-01 1.66E-01 5.47E-04 6.51E-14

Mo99 1.18E+00 3.87E+00 4.98E+00 4.15E+00 2.66E+00 1.70E+00 4.47E-01 1.18E-01 3.09E-02 8.12E-03 1.02E-OS 2.51E-17

Tc99m 9.61E-01 3.06E+00 4.14E+00 3.82E+00 2.72E+00 1.81E+00 4.91E-01 1.29E-01 3.40E-02 8.92E-03 1.12E-OS 2.76E-17

Rui03 1.14E+00 3.77E+00 4.95E+00 4.282+00 2.97E+00 2.05E+00 6.79E-01 2.25E-01 7.43E-02 2.46E-02 9.75E-05 2.42E-14

Ru10S 7.74E-01 2.21E+00 2.14E+00 1.01E+00 2.09E-01 4.32E-02 3.79E-04 3.33E-06 2.93E-08 2.57E-10 1.35E-20 1.06E-61

Ru106 6.39E-01 2.12E+00 2.79E+00 2.42S+00 1.68E+00 1.17E+00 3.94E-01 1.32E-01 4.45E-02 1.49E-02 6.41E-OS 2.17E-14

RhiOS 8.13E-01 2.67E+00 3.46E+00 2.88E+00 1.77E+00 1.07E+00 2.27E-01 4.80E-02 1.01E-02 2.14E-03 8.98E-07 2.80E-20

Y90 9.41E-03 4.39E-02 1.17E-01 2.14E-01 2.96E-01 3.00E-01 1.81E-01 8.18E-02 3.29E-02 1.25E-02 6.91E-OS 2.63E-14

Y91 7.49E-02 2.54E-01 3.58E-01 3.49E-01 2.77E-01 2.06E-01 7.34E-02 2.47E-02 8.24B-03 2.74E-03 1.12E-OS 3.10E-1S

Y92 3.81E-01 2.60E+00 6.88E+00 6.14E+00 l.S9E+00 2.94E-01 1.18E-03 4.03E-06 1.34E-08 4.45E-11 1.77E-23 2.10E-54

Y93 8.22E-02 2.55E-01 2.92E-01 1.93E-01 7.74E-02 3.11E-02 2.01E-03 1.30E-04 8.40E-06 5.43E-07 6.13E-13 4.97E-35

Zr9S 8.63E-02 2.87E-01 3.77E-01 3.26E-01 2.26E-01 1.57E-01 S.23E-02 1.74E-02 5.80E-03 1.93E-03 7.91E-06 2.24E-15

Zr97 8.24E-02 2.63E-01 3.19E-01 2.35E-01 1.18E-01 5.94E-02 7.53E-03 9.56E-04 1.21E-04 1.54E-0S 5.05E-10 5.87E-28

Nb9S 8.65E-02 2.87E-01 3.78E-01 3.28E-01 2.28E-01 1.59E-01 5.34E-02 1.80E-02 6.05E-03 2.04E-03 8.75E-06 2.88E-1S

Lal40 1.29E-01 6.78E-01 2.06E+00 3.942+00 5.42E+00 5.36E+00 2.96E+00 1.22E+00 4.53E-01 1.58E-01 6.12E-04 7.50E-14

Lal4l 7.17E-02 1.99E-01 1.84E-01 7.83E-02 1.31E-02 2.20E-03 1.04E-OS 4.90E-08 2.31E-10 1.09E-12 2.55E-24 1.38E-67

Lal42 5.33E-02 1.13E-01 5.97E-02 8.45E-03 1.56E-04 2.88E-06 1.82E-11 1.1SE-16 7.21E-22 4.55E-27 4.51E-53 4.15E-89

Prl43 8.21E-02 2.73E-01 3.61E-01 3.162-01 2.24E-01 1.57E-01 5.32E-02 1.76E-02 5.76E-03 1.87E-03 6.40E-06 8.20E-16

Nd147 3.34E-02 1.11E-01 1.45E-01 1.24E-01 8.49E-02 5.79E-02 1.83E-02 5.80E-03 1.84E-03 5.82E-04 1.85E-06 1.92E-16

Am241 1.52E-05 5.06E-05 6.65E-05 5.78E-05 4.02E-05 2.80E-05 9.42E-06 3.17E-06 1.07E-06 3.60E-07 1.56E-09 5.52E-19

Cm242 5.96E-03 1.98E-02 2.61E-02 2.26E-02 1.57E-02 1.09E-02 3.66E-03 1.23E-03 4.11E-04 1.38E-04 5.85E-07 1.89E-16

Cm244 2.11E-03 7.01E-03 9.22E-03 8.01E-03 5.57E-03 3.88E-03 1.31E-03 4.40E-04 1.48E-04 4.98E-05 2.16E-07 7.57E-17

Cel4l 2.10E-01 6.98E-01 9.16E-01 7.93E-01 5.48E-01 3.79E-01 1.25E-01 4.11E-02 1.35E-02 4.46E-03 1.73E-OS 3.97E-1S

Ce143 2.05E-01 6.66E-01 8.39E-01 6.68E-01 3.91E-01 2.29E-01 4.57E-02 9.14E-03 1.83E-03 3.66E-04 1.17E-07 1.23E-21

Cel44 1.65E-01 5.49E-01 7.21E-01 6.26E-01 4.3SE-01 3.03E-01 1.02E-01 3.42E-02 1.15E-02 3.8SE-03 1.65E-OS S.SSE-15

Np239 3.35E+00 1.10E+01 1.41E+01 1.17E+01 7.36E+00 4.64E+00 1.16E+00 2.90E-01 7.26E-02 1.82E-02 1.782-OS 1.64E-17

PSAT 3019CF.QA.08 Attachment 1 Pg3 of 3Rev 0

PU238PU239

PU24 0

PU241

SrS 9

Sr9O

Sr9l

Sr92

1.74E-03

G.51K-Os

1.38BE-04

2.91E-02

G.15E+00

7.32E-01.

7.39E+00

6 .33E+00

5.78E-03

2 .16E-04

4.SaE-04

9.67E-02

2.04E.01.

2.43E+00

2.28E.01.

1.62E+01

7.60E-03

2.*84E-04

6.02E-04

1.27E-01

2.68E+01

3.20E+00

2.60E.O1

1.26EE.01

2.47E-04

5.22E-04

1.10K-Ol

2.32E.01

2.78E+00

1.69E+01

3.82E.00

4.60E-03

1.72E-04

3.64E-04

7.68E-02

1.61E+01

1. 93E.00

G.S9E+00

3.26E-01

3.20E-03

1.20E-04

2.53E-04

S.34E-02

1. 12E+01

1:34E.OO

2.S7E+00

2.1SE-02

1.08E-03

4.03E-05

8.52E-OS

1.80E-02

3.71E+00

4.53E-01

1.52E-01

1.72E-05

3.62E-04

1.36E-05

2.87E-OS

6.06E-03

1.23E+00

1.52E-01

9.04E-03

1.07E-08

1.22E-04

4.57E-06

9.66E-06

2.04E-03

4.09E-01

5.13E-02

5.36E-04

6.60E-12

4.11E-O5

1.54E-06

3.25E-06

6.87E-04

1.36E-01

1.73E-02

3.18E-OS

4.09E-15

1.78E-07

6.66E-09

1.41Z-08

2.97E-06

5.49E-04

7.48E-05

2.33E-11

3.72E-31

6.26E-17

2.37E-18

4.98E-18

1.04E-15

1.47E-13

2.63E-14

7.79E-36

6.86E-70

Memo to files Attachment 2 05/09/03From: R. SherComments added by J. MetcalfSubject: Vermont Yankee TSC Integrated Dose Calculation

This memo describes the calculation of the integrated dose in the Technical Support Center(TSC) following a LOCA release to the Reactor Building (RB). The RB fission productactivities as functions of time were supplied by Jim Metcalf and are shown in Attachment 1.

Dose rates as functions of time were calculated with MicroShield MS5. Following a suggestionby Jim Metcalf, an equivalent cylindrical geometry was employed. Figure I shows theequivalent cylindrical geometry in plan view. Figure 2 shows the geometry used in the MS5calculations. Note that the estimated dose point location in Figure 1 (intended to represent"location 3" in the current VY TSC shine calculation) is 158' from the center of the assumedsource in plan view, whereas in Figure 2, it is 127.7' from the center of the assumed source inplan view. This point will be revisited in what follows.

The MS5 geometry parameters for the top cylinder were H = 42', R = 72', Shl = 1' (air, density =0.00 122 g/cm3), Sh2 = 54' (air), Sh3 = 0.667' (an 8" concrete shield placed vertically in themodel, but actually oriented horizontally, density= 2.33 glcm3), X = 127.7', Y = 121', Z = 0'.The buildup factor for the 54' air "shield" was used, since it gave the largest dose rates. No credithas been taken for the sheet-metal wall of the upper compartment. The vertical placement of theconcrete shield is a limitation of the code for this geometry and is discussed further below. Thevolume of the RB is actually based on a height of 139' since the dose point is approximately 18'above grade. However, this has no impact on the MS5 model geometry.

Shl represents a 'transition region" which MS5 requires because the source is cylindrical but theshields are rectangular. X represents the horizontal distance from the origin of the coordinatesystem, which is at the center of the top of the cylinder, to the dose point. It is equal to72'+1'+54'+0.667'+0.033'= 127.7'. 0.033' (1 cm) is the air gap at the dose point required byMS5.Y is the vertical distance from the origin to the dose point, equal to 42'+79' or 121'. The X axis istaken to be the horizontal line from the origin to the dose point, therefore Z = 0.

Since the center plane of the source volume is 100' above the dose point and the dose point is 128'from the centerline of the source volume, the angle of the ray from the center of the source volumeto the dose point is 38 degrees above the horizontal. This means that the distance through the 8"vertical shield is actually a little more than 10". However, the actual distance through the 8" shield(were it able to be horizontally placed in the model) would be 13", and the dose would be lowerthan that calculated in this analysis. Moreover, this model is conservative because it places the dosepoint closer to the source than actuallyneeded (128' to the center of the source rather than 158').As the distance from the source increases, not only would the Ir2 geometric effect decrease thedose, but air attenuation and a greater distance through the 8" shield would also decrease the dose.

It is interesting to note that given the vertical placement of the shield in the model, an oppositeeffect is observed for dose vs. distance up to a point. As the distance from the source increases, theangle of the ray above the horizontal becomes shallower, and the effectiveness of a vertical shielddecreases rather than increases. Eventually the sensitivity of the effective shielding thickness with

I


distance becomes small and geometric and air shielding effects become dominant, but for pointsnear the source, the dose vs. distance actually increases (artificially) because of the vertical shield.For a dose point less than about 100' from the source in plan view, the angle of the ray above thehorizontal becoming greater than 45 degrees; and this model would produce a non-conservativeresult using the vertical shield (i.e., the shielding effectiveness becomes overstated). But for anglesabove the horizontal less than 45 degrees, the model becomes increasingly conservative withdistance.

The dose vs. distance as calculated by the model is shown on Figure 3, both with and withoutbuild-up (build-up is included in the dose results below). For r < 141' (where "r" is the distancefrom the center of the source to the dose point), the results are no longer conservative. Beyond r =141 ' (and for a horizontal distance of 127.7', "r" is 162'), the dose becomes increasinglyconservative. In this model (as shown on the figure), the dose decreases roughly as /r3 (the h/r2

geometric effect plus air attenuation) beyond about r = 250'; but in actuality, it would be a muchgreater rate of decrease because of the shielding orientation.

To confirm that dose actually does vary as I/r2 near the source, the thickness of the shield wasvaried to maintain a constant distance for the ray passing through the shield as the horizontaldistance was varied from 100' to 300'. The results are shown on Figure 4, and there is goodagreement between the actual doses and the estimated doses based on a 1/r2 dependency. The Ihr2

dependency is mentioned in Appendix A in terms of quantifying the impact of the portions of theassumed cylindrical source that are actually shielded by the lower concrete walls of the reactorbuilding.

At each of the times up to 15 days that the source inventories were available, they were entered intothe MS5 source file for that time. The full RB inventories were used. At the end of the calculationthe dose obtained can be multiplied by the ratio of the free volume of the top compartment to thefree volume of the whole RB (i.e., the volume used in the STARDOSE run that produced thesource). A further correction to account for the portion of the upper compartment that is actually"seen" by the dose point is discussed below and in Appendix A.

The source inventory at 30 days was estimated by decaying the activities at 15 days by an additional15 days. The code RADDECAY was used for this calculation. The 30-day activities may beoverestimated since there is no removal by ventilation or purging flows included. However, the RBis in equilibrium with the containment by this point in time, so decay should effect both sources(containment) and sinks (RB exhaust flow) equally.

The integrated dose as a function of time was obtained from the dose rates by taking the linearaverage of the dose rate over a time interval, multiplying by the interval and summing. In thismanner the 30-day integrated dose was obtained as 6.62 rad, assuming a volume ratio of 42/139 =0.302 (same as the ratio of heights). An additional factor of 1.509 must be applied since the freevolume of the RB is 1.5E6 R', but the MS5 volume is 2.26E6 ft' (= x 721 x 139).

2

Merni to files Attachment 2 05/09/03From: R. SherComnments added by J1. MetcalfSubject: Vermont Yankee TSC Integrated Dose Calculation

A better way to average the dose rate is logarithmically (since the dose rate is diminishingapproximately exponentially over a given time interval). Averaging logarithmically gave anintegrated dose of about 6.1 rad. Figure 5 shows the integrated dose as a function of time, with bothtypes of averaging. Note how much of the dose is accumulated in the first day. Therefore, whileoccupancy factors have not been credited, factors of less than unity after the first day would nothave a significant effect.

These doses must be reduced further to account for the fact that the dose point "sees" only aportion of the source volume. In the original rectangular geometry, the fraction of the sourcevolume that contributes to the dose is about 0.2, so without any dependence on "r , the integrteddoses would be about 1.32 rad with linear averaging and about 1.22 rad with logarithmicaveraging.

To consider the impact of r-dependence, an assessment was done using the assumed cylindricalgeometry of the MS5 model. It was noted that the portion of the cylindrical model that can beseen above the concrete shielding of the lower RB would be the upper cylinder truncated by aconic section defined by the upper rim of the assumed cylindrical concrete shield. It wasdetermined (see Appendix A) that the fraction of cylindrical volume that could be "seen" by thedose point is 0.19, almost identical to that found for the original rectangular geometry. However,it was also determined that the volume averaged "r" for the "retained" volume was smaller thanthat for the upper cylinder as a whole (about 139' vs. 187', the latter corresponding to ahorizontal distance from the cylinder centerline to the dose point of 158'). Therefore, assuming al/r2 dose dependence, the "retained" volume would have about 1.8 times the impact of thecylindrical source as a whole on a per volume basis. This means the dose multiplier to relate thedose from the "retained" volume to that for the upper cylinder should be more like 0.34 ratherthan 0.19. This would yield a dose of about 2.2 rads for the linear averaging and 2.1 rads for thelogarithmic averaging. More detail on the calculation of the view factors is given in AppendixA.

Finally, it should be noted that the above results are only for direct shine from the RB and do notinclude skyshine. On the other hand, these results do not include consideration of occupancyfactor, either. Both of these would be small but not negligible effects. Taking both into account,it is anticipated that the shine contribution from the RB to the TSC can be shown to be less than2.5 rads over 30 days, with most of the dose occurring within the first 24 hours.

3

Memo to files Attachment 2From: R. SherComments added by J. MetcalfSubject: Vermont Yankee TSC Integrated Dose Calculation

05/09/03

...... .. . . . . _l. . .I. . .. ....... .... .

I I% S

ISC Dose Point ]%-- .. I

I

Figure 1. Equivalent Cylinder.

Memo to files A ttaclhment 2From: R. SlierComments added by J. MetcalfSubject: Vennont Yankee TSC Integrted D)ose CnhulvatitOt

05/09/03

R=72 .

f nd

*3

Z4/

N t

79'

I

I

I

.IIIII

I

concrete shield, 0.667'

'dose point, X = 127.7', Y = 121'Z=O

/"transition region"

(air, I')air "shield", 54'

Figure 2. MS5 Geometry.


05/09/03

mrad/hr

0.0001 4-100 1000

reft

Figure 3. Dose vs. Distance.

6


05/09/03

a)140(a ___ _'

Xx -we-0a

E 12

100 150 200 250 300

Feet

Figure 4. Dose vs. Distance.

7


05/09/03

VYTSC integrated dose

7

6

5 "

4rad

3 l ..... -n-a* ave.

2 l b~~~~lg ave.2-

0 5 10 15 20 25 30

time, days

I

Figure 5. Integrated Dose (rad).

8

Memo to files Attachtment 2 05/09/03From: R. SherComments added by J. MetcalfSubject: Vermont Yankee TSC Integrated Dose Calculation

Appendix A - Calculation of the View Factor.

The figure shows the geometry that determines the view factor in rectangular geometry.

42'

dose point 112' 55'

The portion of the upper compartment that is seen from the dose point is the wedgewhose volume is (42 x 29.24 x 144)/2 = 88422 fl3. (29.24 = 42 x 55/79.) The total volume of theupper compartment is 42 x 112 x 144 = 677376 ft3.

Similarly, from the other face of the upper compartment, the portion of the upper volume that isseen from the dose point is the wedge whose volume is (42 x 21.27 x 112)/2 = 50027 3 . (21.27= 42 x 40/79; the offset in this direction is 40' rather than 55'.)

Thus the fraction of the upper compartment that is seen at the dose point is (88422 + 50027 - 0.5x Vk,,)/677376.

Via is the volume of the prism formed by the intersecting volumes of the two wedges and is equalto (29.24 x 21.27 x 42)/2 = 13061 ftW.

Finally, the view factor is (88422 + 50027 - 0.5 x 13061)/677376 = 0.2.

The view factor can also be determined by examining the cylindrical geometry. Looking fromthe dose point towards the cylinder representing the reactor building, the top rim of the concreteshielding surrounding the lower compartment casts an elliptical "shadow" on any imaginaryhorizontal plane above the rim of the concrete shielding. The leading edge of this "shadow" (i.e.,the point closest to the dose point) is set back a distance of about 1.1 feet from the surface of theupper compartment for each foot of height assuming the dose point is 158' from the centerline ofthe cylinder (and, therefore, 86' from the surface in the horizontal plane) and 79' below the rim


05/09/03

of the concrete shielding. At the top of the upper compartment (42' above the rim of theconcrete), the setback is about 46'.

Assuming the leading edge of the "shadow" can be treated as circular over the relatively smallarc of its intersection with the circle defined by the assumed cylindrical surface of the uppercompartment, the area of the "retained" volume (i.e., that outside the "shadow") for eachhorizontal slice through the cylindrical upper compartment is based on two intersecting circleswith the "shadow" always having a larger radius than the constant 72' radius of the uppercompartment. The angle subtended by the chord joining the intersection of these two circlesdecreases with elevation for the "shadow" circle (angle A, below) as its radius increases andincreases for the circle defined by the upper compartment cylinder (angle A', below). As one cansee, the chord joining the intersection becomes essentially the diameter of the upper compartmentcylinder at the top elevation of the upper compartment (angle A' equals 7t).

(ACCa

'U

80 84 88 92 96 100 104 108 112 116 120 124

Feet Above Dose Point

The fraction of the circular area included in the "retained" volume at each elevation increasesfrom zero at 79' to 34% at 121 ' (the top of the upper compartment). The integrated volume is19% of the total upper compartment volume. This is essentially the same fraction as thatcalculated for the original rectangular geometry discussed previously.

An area-weighted average distance from the center of the "retained" area at each elevation to thedose point was calculated to be 139'. The distance from the center of the upper compartment tothe dose point is 187'. Therefore, if one assumes that dose impact varies as 1/r2, on a per volume

. ^


basis, the "retained volume would have an impact (187/139)2 = 1.8 times greater than the uppercompartment taken as a whole.

11

PSAT 3019CF.QA.09Attachment 2

.Attachment 1 to R. Sher Memo of 5/9/03 (2 pages)

Hours 0 2 2 4 a 16 24 42 72 96 12 2I I6 192 216 240 264 222 312 336 3402&23 0.005+02 1.72E402 1.495402 1.37E'01 6.702402 5.39E401 3.735E-00 3.4tE-04 M.M20 4.iSE-12 6.01E-26 7.775-20 9.405-24 1. 16E-27 1.44E.31 1.79E-35 2.235-39 2.715.4) 3.465E47 4.31E51 5.35,5-3

9rISm 0.00E401 4.71 E+02 2.t9E403 7.205403 3.352403 4.15E403 1.49E+03 2425402 S. 12M-0 1.12E-02 2.505-0 5.59E-06 1.25E-07 2.205-09 6.27E-1I 1.40E-1 2 3.145-14 7.03E-16 21.58E-17 3.56E-19 7.945-21KrIS 0.00E4+01 3.14E4-01 2.255+02 7.7 15402 1.635403 2.965403 3.74E403 2.7#E+03 2.355503 2.43E+03 2.45E403 2.43E403 2.41 E403 2.4054-03 2.31E4-03 2.37E+03 1.35E403 2.34E+03 2.32E5+03 2.31E+03 2.29E4031(u7 0.005401 6.26E402 2.605403 2.985403 7.225.02 1.61E401 2.555-01 3.765-07 6.215-13 1.325-12 2.585-24 5.075-30 9.96536 1.965-41 3.155-47 7.51E-53 2.50F5-5 2.935464 5.765-70 1.14E-75 2.242-22KrHt 0.005402 1. 19E403 6 61E+03 1.39E4,04 2.23404 2.735403 4.765402 9.30E-01 2.235-3 5.625-06 2.475-0 3.835-22 9.97F-24 2.60E-16 7.275-219 .205-21I 4.64E-24 1.205-26 3.14E-29 8.16E-32 2.12E-342Crt9 0005E401 4 005-3 4.075-03 9.295-29 4.22541 2.945-26

XeI3Im 0.00E401 2.3754-01 2.705402 5.795402 1.255+03 2.165+03 2.67E403 1.225+03 1.625+03 2.495+03 2.395403 1.305+03 1.22E403 1.155403 2.0154-03 2.025+03 9.465E402 3225E+02 2.3354-02 7.1125+02 7.32E402XelJ3rn 0.00E401 2.255+02 2.14E402 2.72E403 5 632403 3.962403 2.02E+04 5.64E+03 3.12E403 2.755403 2.0254+03 1.425403 .0254-03 7.975+-02 5.265402 4.325 402 J.216E402 2.3354-02 1.7254-02 1.265+02 9.24E402

Xe233 0.005402 3.6254,03 2.635404 2.925404 2.925405 3.24E+05 3.955405 2.645405 2.265405 2.275405 2.63E4.05 1.42E4+05 1.245405 2.02+05 9.4354-04 2.225404 1165404 6.245404 5.44F404 4.745404 4.135404XcISm 0.005402I 3.34E+02 2.675402 4.435-02 2.23E-05 2.22F-24 1.565-23 2.99-52 3.125 -79

XeI33 0.005401 2M5E"3 9.7254-03 3.025404 5.4554-04 6.365404 5.14E404 9.245403 1,7554-03 3.235+-02 5 3754-01 9.0125-00 1.49E-00 2.465-01 4.035-02 6.605-3 L.025-03 1.775-4 2.295-05 4.12E-06 7.72E-07Xe237 0.005402 7.95E-02 1.35E-OS 2.55-24 1.73E-32 2.925469Xe232 0.005402 2.7754-02 1.725402 4.395-00 3.365-04 2.945-22 I.26-20 2.64E-46 7.375-72 2.295-97

1310qg 0.0054-02 1.49E-00 7.155-00 2.205402 4.625402 7.225402 9.585402 6.695+02 I5.66E402 5.065+02 4.59E402 4.19E401 3.225402 3.425402 3.275402 2.295+-02 2 645+01 2.41E401 2.20E+02 2.005+02 1.23E4022132013 0.005402 I2.522-00 5.65500 9.645-co 6.255-00 l.OIE-CO 2.275-0 7.035-05 5.225-0 3.935-12 3.07E-24 2.4 1 E-17 2.945-20 2.495-23 1.275-26 9.23E-30 7.255-33 5.595-36 4.395-39 3.445-42 2.695-4511330ri 0.005402 2.265-0 1.345+01 3.275+02 7.225+02 9.6554-01 9.335402 3.205402 1.335402 5.255-0 2,6125-00 2.275-00 5.235-02 2.345-02 2.055-02 4.7125-02 2.1225-02 9.455-03 4.245-03 2.905-03 2.525-0422340rg 0.005402 1.475-00 3.225-00 1.915-00 2.705-02 4.225-04 9.265-7 3.225-15 1.225-23 5.335-32 27.2740 9.675-49 4.135-57 2.75545 7.435.74 3.29E-22 2.365-90 50.20-911350vi 0.005401 2.533-00 2.205401 2.725401 3.925401 3.005401 1.665401 1.075-00 8.315-0 6.255-03 5.735-04 4.205-05 4.035-06 3.395-07 2.245-0 2.395-0 2.025-10 2.695-22 2.425-22 2.292-23 9.925-25

123251cm 0.005402 2.005-00 2.025402 3.925402 6.205402 9.225+02 2.025402 2.205402 2.2I55402 1.065402 9.745402 2.925+02I 2.165402 7.465+02 6.235402 6.255401 5.725402 5.235402 4.795402 4.325402 4.025402223251cm 0.005402 9.375-0 2.39E402 4.2654-01 4.06E402 12.22+02 2.275402 2 425.00 4.592-02 1.765-2 2.675-02 3.195-03 6.025-04 2,2I6E-04 2.225-0 4.225-06 2.045-7 2.535-07 2.935-0 5.525-0 2.065-091133Eem 0005402 1.5424-02 3.225402 62t95+02 9.615402 1.2354402 2.052+02 5.76E402 2.70E402 2.232+02 5.532-00 2.492-00 1.222-00 5.035-02 2.265-02 2.025-02 4.575-02 2.055-0 9.245-03 4.2E-03 2.27-03I234E5ern 0.005402 7.9125-00 9.24500 3.525-00 2.225-02 5.645.04 2.225-06 5.795-25 2.525-23 1.122-32 4.725.40 2.055-43 1.765-57 3.755-6 2.605.73 6.155-22 2.935-90 12E.25-9113551cm 0.005402 1.36E+02 3.205402 4.955402 5.265401 3.525402 1.17E401 2.925-00 1.692-02 2.445-02 1.2125-03 1.02E544 2.625-06 7.275-07 6.25-0 5.265-0 4.355-20 3.66E-22 3.095-212 2.60E-23 2.19E-1 4tl3IPari 0.005402 2.235402 3.232402 6.7125+02 2.145+03 1.755403 2.092+03 2.355403 2.255403 2.025403 2.9254+03 1.75E+03 1.605403 2.462+03 1.345403 2.225403 .1225403 2.02E+03 9.325402 2.525402 7.2554022232Pwt 0.005401 1.325E02 2.595402 2.9454.02 2.545402 2.25E402 2.-65-00 2.475-3 2.03E-06 1.622-09 1.275-22 1.00E-15 7.225-29 6.295-22 4.275-25 3.235-22 3.012E-31 2.375-34 2.262-37 2.46540 1.152431233Pmn 0.005402 2.37E402 6.235402 2.225+03 1.725403 2.165403 2.035403 2.235403 5.295402 2.405402 2.025402 4.17E401 2.292+02 9.255-00 4.435-00 2.99-00 1.95E-01 4.025-01 2.225-02 2.245-02 3.662-02l234Wat 0.005402 2.225+02 2.465402 6 04E+01 4.22-00 2.025-2 2.255-0 2.13-213 5.06E-22 2.225-30 9.37E-39 4025.47 1,7125-55 7.342-64 3.245-72 2.345-20 5.745-39 2.465-971235Pmt 0005402 2,205+02 5.065+02 2.495402 9.665402 6.725+02 3.625402 3.765402 3.3 25-00 2.325-0 2.335-02 2.005-03 1.695404 1.425-05 2.205-6 1.0tE-07 8.525-0 7.225-10 6.052-12 5.09E-12 4 295-23

Rb#6 0.005402 3.222-02 5.24E-01 6.755-02 5.325-02 3.255-02 2.995-02 4.545-02 I.04-02 2.375-03 5.405-04 2.235-04 2.322-05 6.432-06 2.475-0 3.355-07 7.655-02 2.752-02 3.99-09 9.225-20 2.025-10Cz234 0.005+02I 3.8225402 6.955401 2.05E402 6.392401 3.952402 2.455402 5.795-00 2.372-0 3.255-0 7.635-02 21.25.02 4.322 -03 2.022-03 2.42-04 5.722-05 1.35E-05 3.205-06 7.525-07 2.795-07 4.252-0C,236 0.005402 2.035402 2.275402 2.265402 2.705402 2.035402 6.275-00 2.422-00 3.175-01 7.1225-02 1.605-02 3.595-03 3.065404 2.225404 4.075-05 9.245-06 2.055-06 4.615-07 2.045-07 2.335-02 5.235-09C1137 0.005401 1.775+02 3.225402 3.735402 2.965401 1.23540 12.14E402 2 695.00 6.375-0 1.51-02 3.525-02 2.475-03 2025-03 4.755-0 2.235-04 2.672-0 6.325-06 2.505-06 3.3552-7 2.412-0 2.95-0Sb227 0.005402 2.042-00 3.302-00 4.122500 3.235.00 1.292-00 2.A2-0 2.212-02 4.315E-02 83.552-12.692-03 3.362-04 6.655-05 2.325-05 2.615-0 S.2I75-07 1.022-07 2.035-03 4.025-09 7.97E-20 2.525-20Sb229 0.0054-01 2.505-00 6.345-00 6.395-00 2.695-00 4.67E-02 3.09E-02 4.225E-04 2.295-06 2.245-02 5.922-22 3 025-13 1.605-25 3.332-23 4.335-20 12.2522 2.27524 6 095-27 3.27E-29 2.6E-32 2.575-34

Tul22m 0.002402 2.422-02 4.535-01 53922.02 4.635-02 23962.02 2.765-02I 4.152.02 9.775-03 2.305-03 5.4125-04 I.275404 3.005-05 7.065-06 2.665-06 3.91 5-07 9.205-02 2.275-02 .202-09 2.20-09 2.225-20Te227 0.002402 9.245-02 3.055-00 3.905-00 3.152-00 1.945E-00 2.2175-00 2.402-02 4.795-02 9.502-03 2.225-3 3.735-04 7.395-05 2.465-05 2.905-06 5.755-0 2.245-07 2.262-0 4.475-09 8.265-10 2.755-20

Te I29m 0.0054,02 4.9122-02 I2.575-00 2.022-00 2.605-00 9.245-02 6.052-02 2.405-02 3.262-02 7.575-03 2.765.03 4.025-04 9.475-05 2.202-05 5.205-06 2.2I32-06 2.752-07 6.325-02 12435-0 3.442-09 7.925-20Te229 0.0054-02 1.975-00 5.365-00 6.275-00 3.525-00 6.495-02 1.13E-02 53 55.04 3.042-06 1.532-0 2.245-22 4.222-23 2.235-15 2.265-27 6.035.20 3.245-22 1.63E-24 2.422-27 4.425 -29 2.29E-32 1.295-33

7c23i2m 0.005402 1.335-0 4.795-00 5.285-00 4.275.0 2.195.00 1.235-0 2.545-0 2.092-2 2.245-03 3.275-04 5.265-05 7.165-06 9.745-07 1.335-07 1.205-02 2.45E-09 3.345-10 4.545-12I 6.135-2 2.415-13Te132 0.005+021 2.2054-02 3.222+01 4.2254-01 3.692+02 2.235402 2.22E402 2.335-00 4.455-02 2.49E-02 2.625-02 3.095-03 5.295-0 2. 225-04 2.245-05 4.095.06 7.205-07 2.495.07 2.24502 5.422-09 2.035.09

B&137m 0.002402 1.7125401 3.162402 3.7354.02 2.962+02 2.235+02 1.245+02 2.695-00 6.375-02 2.522-01 3.535-02 2.47-03 2.025 -03 4.755-04 2.23E-04 2.675-05 6.325-06 1.305-0 3.555-07 I425-03 2.99-02Dm239 0.0024-02 3.702-00 7.205-00 3.402.00 3.665-02 4.245-03 4.675-05 6.745-22 9.712-27 1.402-22 2.025-22 2.925 -34 4.205-40 6.055-46 3.735-52 2.265-57 2.225-63 2.625-69 3.775-75 5.442-22 7345.27Bm240 0.005402 5.985-00 2.925 402 2.455402 2.9354-02 2.22401 7.145-00 2.605-00 3.605-02 2.075-02 2.225-02 4.075-03 9.235-04 2.055404 4.605-05 1.035-0 2.325-06 5.205-07 2.275-07 2.625-02 5.325-0Mo99 0.005402 7.232-02 2.495-00 3.232-00 2.395.00 2.365-00 7.765-02 2.4.4-02 2.655-02 4.91 5-03 9.075-0 2.6E-04 3.205O-05 5.745.06 1.062-06 1.965-07 3.635-02 6.705-09 2.245-09 2.292-2I0 4.245-22

Tc99m 0.0054-02 6.405-02 2.972-00 2.605-00 2.205-00 2.39E-00 2.272-02 2.575-02 2.922-02 5.392-03 9.97E-04 2.245-0 3.422-05 6.305-06 2.272-06 2.262-07 3.925-0 7.375-0 2.365-09 2.522-20 4.665-212RuIO3 0.005+02 7.65-02 2.365-00 3.035-00 2.405-00 2.425-00 9.095-02 2.122202 4.932E-02 2.1I55-02 2.67E.03 6.222404 2.455404 3.375-05 7.255-06 2.235-06 4.255-07 9.905-02 2.325.E0 35.375-09 1.252-0ROlOS 0.005+01 4.245-02 2.335-00 2.265-00 5.I4224 2.025-02 1.252-02 2.245404 7.065-07 4.365.0 2.70E-22 1.672-23 2.032-25 6.375-13 3.945-20 2.445-22 2.515-24 9.325 -27 5.765-29 3.562-32 2.202-33ROMl 0.005402 3.32R-02 2.22E-00 2.575-00 2.252-00 7.752-02 4.795-02 2.235-02 2.6aE.02 6.342-03 2.505-03 35342.04 B. 3224E5 2.925-05 4.695-06 2.225I -06 2.625-07 6.202-02 2.475-02 3.472-09 2.205-20

lIOS 0.002402 5.252-02 1.635-00 2.075-00 2.535-00 2.655-01 4.635-02 6.925-0 2.035-02 2.535-03 2.272-04 3.375-0 5.025-06 7.455-07 1.2I1I5-07 1.655-0 2.445-09 3.632-20 5.405-22 2.022-22 2.295-22Y90 0.005+02 5.142-03 2.635-02 6.295-2 2.265-02 2.43E-02 2.295-02 5.475-02 2.745-02 4.935-03 2.325-03 3.395-04 2.535-05 2.225-05 S.2172-06 1.255-0 3,035-07 7.275-0 1.742-0 4.165-09 9.922-20Y91 0.0024-02 4.695-0D2 2.545-0 2.202-02 2.275-02 2.325-02 1.605-02 2.15E-02 5.092I-03 2.192403 2.792-0 6.545-05 12535-05 3.595-06 8.402-07 2.972-07 4.605-02 2.012-02 2.525-0 5.925-20 2.32-20Y92 0.005402 2.292-02 2.465E0 3.205-00 3.235-00 7.205-02 2.295-02 3.355-04 2.055-07 2.395-0 4.405-22 2.022-24 2.395-27 5.555-20 2.295-22 3.01&2-2 7.025-22 2.635-30 3.302-33 1.365-36 2.062-32Y93 0.005402 4.995-02 2.50E-01 2.675-02 2.015-02 3.625-02 2.295-02 52875.04 2.675-05 1.22E.06 5.535-02 2.522-0 1.14510 5.205-22 2.375-23 2.025-24 4.90E-26 2.235-27 2.022-12 4.61E-20 2.2105-21

Zs95 0.002+02 5.222-02 2.275-02 2.402-02 2.925-02 1.27E-01 7.242-02 2.705-02 3.925-03 9.322-04 2.222-04 5.222-05 1.202-OS 2.8125-06 6.595-07 12342-07 3.625-02 2.425-09 2.995-09 4.662-20 2.095-20Za97 0.005+02 5.67E-02 2.75E-02 2.075-0 1.40FAl 6.262-02 2302E-02 2.505-03 2.235-04 2.99-05 2.725-06 2.525-07 2.425-08 2.265-09 1.235-10 2.025-22 2.975-23 2.025-24 7.255-25 6.3-156 5.695-27

Nb9S 0.005402 5.252-02 2.275-02 2.422-02 2.925-02 2.195-02 7.345-02 2.745-2 4.1222-3 9.755-04 2.325 -04 5.465-0 1.295-05 3.065-06 7.235-07 1.7125-07 4.045-02 9.565-0 2.265-09 5.345-20 1.265-10L&140O0.005402 2.622-02 4.355-1 1.225-.00 2.245-00 2.735-0 2.405-00 9.325-02 2.7125-021 7.045-02 2.732.02 4.232-03 9.64E544 2M22504 3.025-05 2.25E245 2.615-06 5.90-07 1.33E-07 2.995-02 6.735-09LxIA 0.005402 4.595-02 2.23E-02 2.225-02 4.345-02 6.475-03 9.655-0 3.202-06 2.065-02 3.535-22 2.275-23 3.192-26 2.295-22 4.222-22 2.425-23 - 4.722-P26 2.565-23 S.2195-31 1.725-33 5.722-36 2.90-38

PSAT 3019CF.QA.09Attachment 2

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t 6tE442.133-042.02E-076.44E-051.20E5-32.15E-032.75E-041.91 PASL.O0E-2I.52E-059.53E507.35E-06

4 41E045.97E-027.6E-037.375-9.27E-131.97E+05

I.9E-046.30E-Ot4.735-0tI.32E45J2.t4E464.99E-043.1171Os4.521-41.90E-033 60W6227E-073.73E-071.06W41.40W-021.92E4033.07E4064.04E-161.71Et0O

4.50E301.40E-0S1.135-033.5E4-066.735-071.16E44S.44E461.07-043.35E-043.535-073.335-0O*.ttEt-02.52E-05326E-034 315-041.235-71.76E-19

1.49E+05

I.02E-OS3.13E-062.6tE409t.41E40711.9E-072.635-057.66E4072.525-OS5.905-CS2.025-07I.275-CS2.1 OEMtt.96E467.62W-04I.02E-0453351097.67E-231.32E+05

2.30566 97E5076.335101."9-73.7?E-0t6.22E4061.0-E475.97E-6I.04E5-O4.79Wt3.02E494.97?-091.41W3-61.73tE42.42E4052.23E-103.34E-261.14E+05

5.19E5072.55-071.51E2104.70Wt3.95-09I.44E461.52E5-01.41W506I.3JtE461.13E-07.15-l10l.ll-O93.344-074.16OS5.735.06932E5I21.46E-29I.OOE503

1.17E-073.46E-033.57E-I I1.11E-0t2.122-093.35E4072.1E4093.33E?073225-072.69E-092.69E-2O2.79E-107.92E-039.73n-6I.36E-063.t29E 136.34E-333.76E+04

2.64E5-t7.71E-09t.45E.122.62W-095.02E 107.76W03.001-107.ttE-0t3.66E5-6.37E-104.01E II6.60-llI2.3E-032.27E-63.224-071.62E.142.76E.367,6?E+04

594E-09I.72E-092.00E-126.12E-101.19E.101.05-034.23E-I1l.t6E5-t9.96E-091.51E-109.11E-121.56Eli14.4tE-093.3tlE477.62E-036.77E-161.20E-39

6.725404

I.34E-093.J3E-104.74E-131.46E-102.t2E- I I4.17E-095.95E-124.40W-091.75E-093.tE3 -I2,25E.123.71E-12

.O55-091.24E-07L.O5021t2E-173.251-435.90E504

3 21E-76 1.42E-533.02E-10 6.t0E-II9.3E3-II 1.90E-I I1.12E.13 266E.143.UEI-lI t.1112663E-12 1.6tE-129 67E-10 2.24E-103.37E513 .l23E-111.04E-09 2.46E5103.09E.10 343tEII3.47E.12 2.01E-125.34E.13 1.26E-131.73E513 2.0WE-l32.49E5-0 t.91E-Il2.9050 6.73E-094.23E-09 2.0IE-09I.lt-23 4.92E-202.29E-46 9.96E-505.19E504 4.36E+04I.3E+403 2.OE40S 4.14E+0S 4.70E+05

Memo to files Attachment 3 07/30/03From: J. MetcalfSubject: Impact of Skyshine on the Vermont Yankee TSC Integrated Dose Calculation

Purpose

The purpose of this memorandum is to document the decision in the preliminary assessment ofTSC external shine not to include a contribution from skyshine in the model.

Approach

The MicroSkyshine computer (Reference 1) has been used to evaluate the potential for skyshineinfluencing the results of the TSC shine calculation. A second methodology (Reference 2) has alsobeen employed to confirm the estimate.

References

1. "MicroSkyshine User's Manual", Grove Engineering, 1987

2. Radiation Protection Design Guidelines for 0.1-100 MeV Particle Accelerator Facilities,National Council on Radiation Protection and Measurements Document NCRP No. 51, Eds.E. Murrill, J. Beyster, G. Brownell, A. Chilton, J. Haimson, C. Karymark, W. Kreger, J.Wyckoff and D. Grace, Washington, DC (1977)

3. Memo to file, B. Nowack "MicroShield 5 Verification Using QADMOD-GP", 7/29/03

4. Memo to File, R. Sher, "Vermont Yankee TSC Integrated Dose Calculation", 5/9/03

Analysis

The MicroSkyshine input for this case is as follows:

"record ver 3"PolestarAppliedTechnology1.18- 1.18-00110VYRBTestInput onlyCase never run3 ,GEOMETRY48.2 ,X.1, Y0, Z24.1, H22 ,R10 ,R20,T10 ,T224 ,L

I


21.9 ,W0,D5 ,M0,NO,C

.0012 ,RHO"sensitivity variable index (or 0):"0 ,SENSEVAR1 ,# saved results or 1

"# sensitivity cycles or I if none:"1 ,NCYCLES

"20 densities:"0

00

0

0

0

0

00

0

00

0

0.00120

0

0

0

0

0

1 ,BUILDUP INDEX8 ,QUADRATURE ORDER

"20 energies:"2.51.751.25.75.4.150

0


000000000000

"20 activities:"3.09e+147.81e+138.13e+132.27e+141.34e+143.13e+15000000000000000 ,1=RESULTS EXIST 0=NO

"no results exist."3 ,SOURCE MODE

"isotope bit flags:"

0 ,NUMBER OF ISOTOPES"end of source inputs. 5 decay times:"0000


0

The model consists of the photons per second at t = 4 hours that correspond to the energies (byenergy group) that were used in the QADMOD-GP assessment, Reference 3. The distance fromthe centerline of the "silo" model is 48.2 m (158'), and the distance from the top of the "silo" tothe dose point is 24.1 m (79'). The resulting dose rate (the peak dose rate from the QADMOD-GP study and unshielded at the TSC) is 613 mr/hr.

Application of the second method requires the peak dose rate at the surface of the RB (about0.008 R/s) to be converted to cGy/s at a distance one meter from an imaginary point source.Knowing this, the associated skyshine can be estimated from the Reference 2 expression:

Dose rate in nSv/s = 2.49E5BxsDioQf2 3 /(dids)2

Where:Bxs is the ceiling transmission factor,Dio is the dose rate in cGy/s one meter from the source,0 is the solid angle of the beam,di is the distance from the point source to a point two meters above the ceiling, andds is the distance from the centerline of the beam to a the dose point.

This can be solved as follows for an assumed transmission factor of unity (unshielded) and anassumed beam angle of 2n steradians (a hemisphere):

Vol 42 ftx 72 ftx 72 ftx 3.14159or 684012.1 ft3 = 19383.95 m3R sph = 16.61739 mR cy = 21.95122 mSurface dose rate of cylinder = 8.OOE-03 R/sDose rate one meter from sphere center = 2.209102 R/s or cGy/sSource point relative to (below) shield = 0 MSolid angle of opening = 6.28318 radians (hemisphere)Horizontal distance to target = 48.2 mDose rate due to skyshine = 645.4972 nSv/sec = 0.002324 Sv/hr = 0.232379 rem/hr

This estimated peak dose rate is a factor of 2.6 smaller than the MicroShield calculation, but evenif the higher value is used, an 8" concrete shield for the low-energy scattered photons willdecrease the dose rate by a significant factor (a hundred times or more). This will make theskyshine dose rate in the single-digit mr/hr range compared to the direct shine peak dose rateswhich are about two orders of magnitude larger.

Conclusion

Skyshine dose rates are low enough with an 8" concrete shield to be neglected, and thepreliminary evaluation done with MicroShield (Reference 4) is acceptable.

4

Memo to files Attachment 4 07/29/03Fromn B. NowackSubject: MicroShield 5 Verification Using QADMOD-GP

MicroShield Dose Calculation for the Vermont Yankee Technical Support Center

A calculation of the integrated dose in the Technical Support Center (TSC) following a LOCArelease to the Reactor Building (RB) was performed using MicroShield MS5 and is described inReference 1. The RB was modeled as a cylinder equivalent in volume to the actual building. Thesource was assumed to be uniformly distributed throughout the free area of the building; howeverthe areas below the refuel floor are heavily shielded with at least 24 inches (61 cm) of concrete.The source volume that was considered in the calculation was the free volume above the refuelfloor. This portion of the RB is primarily steel sheet and beam construction and no shielding creditwas taken in the calculation. Two source correction factors were developed to: 1) account for thefraction of free volume represented by the volume above the refuel floor and 2) account for thefractional difference between the total building volume and the free volume. The calculation takescredit for an 8-inch horizontal concrete shield representing the floor above the TSC. However, itwas modeled as a vertical shield due to the limitations of the MicroShield code. The TSC receptorlocation was modeled at a horizontal distance of 127.7 feet from the centerline of the sourcevolume and a vertical distance of 100 feet below the centerline of the source volume. As statedabove, the portion of the RB below the refuel floor has an annular concrete shield. This shield"shadows" the TSC receptor from a portion of the source volume, reducing the dose rate. Since itis not possible for MicroShield to model the shadow effect of the annular shield, a correction factorwas calculated and applied to the results. The MicroShield dose rate results are presented in Table1.

Table 1. MicroShield Dose Rate Calculation ResultsMicroShield MicroShield

Time) Dose Rate Time) Dose Rate(hrs) (mrad/hr) (mrad/hr)

1 44.0 144 3.92 185.3 168 3.54 350.1 192 3.18 291.1 216 2.816 111.3 240 2.624 53.8 264 2.348 14.6 288 2.172 7.8 312 2.096 5.6 336 1.8120 4.5 360 1.6

Independent Review of TSC Dose Calculation Results Using QADMOD-GP

An independent review of the calculation was performed using QADMOD-GP (Reference 2).QADMOD-GP is a PC version of the mainframe code CCC-396/ QADMOD-G, a point-kemelintegration code for calculating gamma ray fluxes and dose rates at specific locations.QADMOD-GP allows the user to set up a three-dimensional source volume and three-

I

Memo to files Attachment 4 07/29/03From: B. NowackSubject: MicroShield 5 Verification Using QADMOD-GP

dimensional shielding geometry configurations. Source geometry configuration is represented byarraying isotropic point sources uniformly in a specified volume geometry. QADMOD-GPallows the use of plane, conical, cylindrical and spherical surface combinations to modelshielding configuration geometry. QADMOD-GP computes the distances through all regionstraversed by the line-of-sight ray from the source point to the designated receptor point. It takesinto account the geometry and the characteristics of the materials which the rays pass through.Energy dependent attenuation and build-up factors are applied to calculate the direct gamma raydose and gamma ray dose with build-up. For the review three models were simulated usingQADMOD-GP.

QADMOD-GP Cylindrical Model with no Annular Shield

This model was setup in order to directly compare MicroShield and QADMOD-GP results.Identical source strength and photon energy groups were used. Figure 1 is a plan view of the truebuilding dimensions (solid lines) and the equivalent cylindrical model (dashed lines). A cylindricalgeometry model was setup source volume identical to the MicroShield model. Distance to thereceptor (a radial distance 127.7 feet from the source centerline, a vertical distance of 100 feetbelow the source centerline) was identical to the MicroShield model. (Note that while the actualradial distance to the receptor is 157.7-feet, 127.7-feet was used in cylindrical model toapproximate the air gap between the outer wall of the RB and the receptor.)

Memo to files Attachment 4From: B. NowackSubject: MicroShield 5 Verification Using QADMOD-GP

07/29/03

Cylindrical Coordinates - TSC DosePoint Radial Distance 127.7'

-

I I<Nj!

Rectangular Coordinates - TSC DoseI Point Radial Distance = 157.7'

Colum Line F

Figure 1. Equivalent Cylinder.

One difference between the MicroShield model and the QADMOD-GP model was that the 8-inchhorizontal concrete shield representing the floor above the TSC was modeled as a horizontal shield(the as-built configuration). A dose rate comparison of the MicroShield model and the firstQADMOD-GP model was made for nine time points, 1-hour, 2-hours, 4-hours, 8-hours, 24-hours,48-hours, 144-hours, 240-hours and 336-hours. (The QADMOD-GP input data sheets arepresented in Attachment 1.) During this review it was noted that the MicroShield code partitionsgamma decay energies into 25 groups whereas QADMOD-GP uses 6 energy partitions. The use of6 partitions causes the calculated dose rates to be overestimated, especially for low energy photons.As such, it was necessary to set up the MicroShield model using 6 energy partitions to validate thecomparison to QADMOD-GP. The results of the comparison are shown in Table 2 below:


Table 2. MicroShield and QADMOD-GP Dose Rate Comparison

MicroShield MicroShield QADMOD Percent Dose RateTime Dose Rate Dose Rate Dose Rate Dosence(hrs) (mrad/hr) (mrad/hr) (mrem/hr) Difference

25 Partitions 6 Partitions 6 Partitions1 44.0 48.4 47.6 -2%2 185.3 209.7 199.4 -5%4 350.1 403.4 383.5 -5%8 291.1 345.5 328.3 -5%

24 53.8 71.6 83.3 16%48 14.6 28.3 32.8 16%144 3.9 11.0 13.2 20%240 2.6 6.6 7.3 10%336 1.8 4.1 4.9 19%

It is worth noting that the fractional distribution of photon energy groups are dominated by highenergy photon during the first 12 hours (e.g., 41% of all photons have an average energy of 2.5MeV at time = 1-hour) and that thereafter the fractional distribution rapidly shifts to low energyphotons (e.g., 86% of all photons have an average energy of 0.15 MeV at time = 24-hours). Thedifferences in the calculated dose rates clearly correspond to the shift in the energy spectrum tolower energy photons. This is a minor difference in comparing calculated dose rates using twodifference codes. It appears that the MicroShield and QADMOD-GP results for the CylindricalModel with no Annular Shield provide consistent results and that the model used in theMicroShield model is valid.

QADMOD-GP Cylindrical Model including the Annular Shield

To develop the second model, the first QADMOD-GP cylindrical model was modified to include a24-inch thick concrete annular shield in the RB from grade level up to the refueling floor level.Dose rates for several distances were calculated to obtain a representation of how rates varied.

A comparison of dose rates for time points at 1-hour, 2-hours, 4-hours and 8-hours werecalculated for various distances at the height of the TSC receptor. (The QADMOD-GP inputdata sheets are presented in Attachment 2.) For the TSC receptor, the shielding value of theannular shield decreases as the radial distance from the source increases. This is a result of theshadow effect. Conversely, the photon flux decreases with distance as a result of the l/r2

geometric effect plus attenuation. A plot of TSC dose rates as a function of distance is presentedin Figure 2.

A


07/29/03

Shielded Dose Rate vs. DistanceCylindrical Geometry

100

90 1 X

70

L60 .. .1 hr DR-- 5_2 hr OR.4 hr DR

E 40. - -(8hr DR

100.0 120.0 140.0 160.0 180.0 200.0 220.0 240.0

Distance (ft)

Figure 2. Shielded Dose Rates

In the first QADMOD-GP model (cylindrical model with no annular shield) dose rate iscalculated as a function of the I/r2 geometric effect, attenuation and the 8-inch horizontal shield.The second model adds the annular shield and presents a more realistic representation actualconfiguration in the calculation of the dose rate as a function of distance. The combination ofthese effects results in peak dose rate at approximately the radial distance range of 125 to 130-feet from the source centerline. Figure 2 also indicates that use of the radial distance of 127.7was an optimum choice for the calculation since it results in the worst-case dose rates.

As previously stated, a correction factor was calculated and applied to the MicroShield results toaccount for the shadow effect of the annular shield. The QADMOD-GP shielded and non-shielded dose rate calculations were compared to determine the "shielding factor" and compare itto the correction factor used in the MicroShield calculation. A plot of the ratio of theQADMOD-GP non-shielded dose rate / shielded dose rate ratio as a function of distance ispresented in Figure 3.

C


07/29/03

Shielding Ratios for Cylindrical Geometry

~~~~~~~~~~~~~~~~~~~~~~...t................. .......'I-i-- ii

6 .

z ----'-thi- ----i- -... . -.... ............. . . . ...... i......,......v.. .. . .............. ...... - - -

I hr Rat:o.... . ... .................................. . ..... . ... . ........................ 2 ;rR t

_ i *. i:;:\< . . , * . E i ..~~~~-3 2 hr Rati

A 4 hr Ratio3o' X ' E he i ..' i .i .* 8 hr Rato

. ............... ,............4'''''"'' ...... ..... ... ,..................... .... i... ..... ...

(i 2 ., .,: '. . ',C0

1_. . __*. _. . ,.... ......... ... ...... . .. . . .. .. .. . . . . . . . . . . . . .. - . . .. . . .

. ............. ...... ...... ..... ................ i.!.... ..... I--- ...... --- ............. ..... '.....

0100 150 200 250

Distance (ft)

I

Figure 3. Shielding Ratios

As expected the shielding factor (shadow effect) of the annular shield diminishes with distance,as the angle to the receptor becomes shallower, approaching unity. For the receptor in the TSC, ashielding ratio of 2.0 appears to be a conservative assumption.

QADMOD-GP Rectangular Model including the Annular Shield

A third model using QADMOD-GP was setup using rectangular geometry. Results from therectangular geometry and cylindrical geometry (with annular shield) were compared as a meansto validate the use of the cylindrical model used in the MicroShield calculation. For therectangular model, dose rates for time points at 4-hours and 8-hours were calculated for variousdistances at the height of the TSC. (The QADMOD-GP input data sheets are presented inAttachment 3.) A plot of the cylindrical and rectangular 4-hour dose rates as a function ofdistance is presented in Figure 4. Though it is not shown, the 8-hour data resulted in a similarplot.

---


07/29/03

Cylindrical vs. RectangularQADMOD Dose Rate Comparison (4 hr)

100 - -CyIdrical Dose Rate

90 Rectangular Dose Rate

80

70 -

60

E 50 -

E 40 -

30-

20

10

0 ..100 120 140 160 180 200 220 240 260

Distance from Centerline of Building (ft)

Figure 4. Cylindrical vs. Rectangular Dose Rate Comparison

Figure 4 clearly shows that the use of a cylindrical model yields higher dose rates in the range ofdistances corresponding to the TSC receptor and is a more conservative model. It is noted thatthe dose rates merge as distance from the source and the annular shield increases. This isexpected since the source starts to look like a point source and comes out of the shadow ofannular shield. It should also be emphasized that both the MicroShield and QADMOD-GPcylindrical calculations use a radial distance of 127.7-feet for the TSC receptor (as anapproximation associated with use of cylindrical geometry). This produces a conservativeestimate of the dose rate since the actual RB structure is cubic (see Figure 1) and the actual TSCreceptor is expected to be at a further radial distance of 157.7-feet.

.7


Conclusions

It is concluded that the MicroShield cylindrical model is valid and that provides conservativeestimates of dose rates. The following conservatisms are included in the MicroShield model:

. Radial Distance - The cylindrical calculations use a radial distance of 127.7-feet whereas theactual TSC receptor is expected to be at a further radial distance of 157.7-feet.

* Shielding Factor - Choosing a shielding factor of 2 is conservative since the calculationindicates a range from about 2.5 to 4 for various distances within the TSC.

* Cylindrical Model - The use of a cylindrical model is conservative since the comparison ofcylindrical and rectangular models shows that cylindrical model yields higher dose rates inthe range of distances corresponding to the TSC receptor.

References

1. Memo to File, R. Sher, "Vermont Yankee TSC Integrated Dose Calculation", 5/9/03

2. RSIC Code Package CCC-565, "QADMOD-GP Point Kernel Gamma Ray Shielding Codewith Geometric Progression Buildup Factors" November 1990

e


07/29/03

Attachment 1

Attachment 2

Attachment 3

MicroShield to QADMOD Comparison(Cylindrical Geometry - Unshielded Annulus)QADMOD Input Data (9 runs)

QADMOD Concrete AnnulusCylindrical GeometryQADMOD Input Data (4 runs)

QADMOD Concrete AnnulusRectangular GeometryQADMOD Input Data (2 runs)

0

Attachment I to "MicroShield 5 Verification Using QADMOD-GP"MicroShield to QADMOD Comparison (Cylindrical Geometry - Unshielded Annulus)

QADMOD Input Data (9 runs)

1 hr - Air Annulus - Cylindrical Geometry6 20 0

8.61+130.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 26 27 28 29 210 211 2

2.33

25 232.5

0.409AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

3 2 8 11 1 -20 0 0 3 S 0

0 22 13 16 0 0

100.0900.0

1700.02820.03620.00.39273.5343

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.00.00.0

313.0333.0

2720.04000.0

0.08 3 41 2 38 4 51 2 48 5 61 2 51 6 71 2 61 8 31 8 41 8 5

0.0 2195.00.0 7000

0.0 2134.0

4

S

6

74S6

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.75 1.25 0.75 0.4 0.150.104 0.100 0.205 0.051 0.130

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft75.5 ft

110.0 ft120.0 ft127.7 ft130.0 ft140.0 ft150.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

in



2hr - Air6 20 0

3.73+14.0.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 26 27 28 29 210 211 2

2.33

25 232.5

0.48AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

Annulus30

20

Cylindrical Geometry8 11 1 -20 3 5 0

0 22 13 16 0 0

100.0900.0

1700.02820.03620.00.39273.5343

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.00.00.0

313.0333.3

2720.04000.0

0.08 3 41 2 38 4 51 2 48 5 61 2 51 6 71 2 61 8 31 8 41 8 5

0.0 2195.00.0 7000

0.0 2134.0

4

S

6

7456

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.750.09

0.00.00.00.00.00.00.00.00.00.00.00.00.0

1.25 0.75 0.4 0.150.071 0.127 0.042 0.19

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft

75.5 ft110.0 ft120.0 ft127.7 ft.130.0 ft140.0 ft150.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

11



4hr - Air Annulus6 2 30 0 0

7.77+140.0 100.0

800.0 900.01600.0 1700.02720.0 2820.03520.0 3620.0

0.0 0.39273.1416 3.53436.2832

1 0 12 0.02 0 12 0.03 3 0.04 3 313.05 3 333.36 3 2720.07 3 4000.08 0 12 0.01 28 3 42 21 2 33 28 4 54 11 2 45 28 5 66 21 2 57 21 6 78 21 2 69 21 8 310 2 1 8 411 2 1 8 5

2.331.22-03

25 232.5 1.750.45 0.08

AIR EXP

2256.0 0.02300.0 0.03352.8 0.03657.6 0.03892.3 0.03962.4 0.04267.2 0.04572.0 0.04806.7 0.05181.6 0.06096.0 0.06858.0 0.07620.0 0.0

20


0 22 13 16 0 0

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

2.35625.4978

700.01500.0

3420.0

2.74895. 8905

0.0 2195.00.0 7000

0.0 2134.0

4

5

6

7456

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

1003202000

1.25 0.75 0.4 0.150.06 0.1 0.03 0.28

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM00 O00000000000-1

PER HOURHt 112ft75.5 ft110.0 ft120.0 ft127.7 ft.130.0 ft140.0 ft150.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

12

f

Attachment I to 'MicroShield 5 Verification Using QADMOD-GP"MicroShield to QADMOD Comparison (Cylindrical Geometry - Unshielded Annulus)


8hr - Air6 20 0

8.50+140.0

800.01600.02720.03520.0

0.03.14166.28321 0 122 0 123 34* 35 36 37 38 0 121 22 23 24 15 26 27 28 29 210 211 2

2.33

25 232.5

0.323AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

I Annulus30

100.0900.01700.02820.03620.00.39273.5343

0.00.00.0

313.0333.3

* 2720.04000.0

0.08 3 41 2 38 4 51 2 48 5 61 2 51 6 71 2 61 8 31 8 41 8 5

- Cylindrical Geometry2 8 11 1 -20 0 3 5 0

0 22 13 16 0 0

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900. 03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.0

700.01500.0

3320.0 3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0

4

S

6

7456

03000

03000

03000

03000216021602160

00000000000

1001003203202000200030003000

1003202000

1.22-03

1.75 1.25 0.75 0.4 0.150.060 0.049 0.089 0.024 0.455

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1



13



24 hr - Ai6 20 0

5.94+140.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 3S 36 37 38 0 121 22 23 24 15 26 27 28 29 210 211 2

2.33

25 232.5

0.020AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

ir Annulus3 20 0

100.0900.0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.0

2720.04000.0

0.08 3 41 2 38 4 51 2 4!8 5 61 2 5 i1 6 71 2 6 '1 8 3 41 8 4 !1 8 5 4

- Cylindrical Geometry8 11 1 -20 3 5 0

0 22 13 16 0 0

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100 .01900.03020.03820.01.17814.3197

0.00.0

* 400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

2195.07000

0.0 2134.0

7I5S

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.75 1.25 0.75 0.4 0.150.008 0.016 0.072 0.025 0.859

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1



1A



48 hr - Air6 20 0

2.75+140.0

800.01600.0 12720.0 a3520.0

0.0 C3.14166.2832

1 0 122 0 123 34 35 36 37 3 48 0 121 282 213 284 115 286 217 218 219 2110 2 111 2 1

2.331.

25 232.5

0.000AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

Annulus3 20 0

100.0900.0

1700.02820.01620.00.39271.5343

0.00.00.0

313.0333.0

.720.04000.0

0.03 42 3 44 52 455 62 5 66 72 6 78 3 48 4 584S 58 56

- Cylindrical Geometry8 11 1 -20 3 5 0

0 22 13 16 0 0

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.0 400.01100.0 1200.01900.0 2000.03020.0 3120.03820.0 3920.01.1781 1.57084.3197 4.7124

0.0 2195.00.0 7000

0.0 2134.0

500.01300.02100.03220.04000.01.96355. 1051

03000

03000

03000

03000216021602160

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

00000000000

100100320320

2000200030003000

100320

2000

22-03

1.75 1.25 0.75 0.40.001 0.007 0.063 0.048

0.150.881

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1



1S

Attachment 1 to "MicroShield 5 Verification Using QADMOD-GP"MicroShield to QADMOD Comparison (Cylindrical Geometry - Unshielded Annulus)


144 hr - Air Annulus - Cylindrical Geometry60

1.23+140.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 12

2 3 2 8 110 0 0 0 3

1 -25 0

0 22 13 16 0 0

3456781234567891011

33333

0 1222212222222

2.33

100.0900.0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.0

2720.04000.0

0.08 3 41 2 38 4 51. 2 48 5 61 2 51 6 71 2 61 8 31 8 41 85

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

4

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

0.0 2195.00.0 7000

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2134.0

5

6

7456

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000100320

2000

1.22-0325 23

2.50.000

AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06856.07620.0

1.75 1.25 0.75 0.40.000 0.000 0.021 0.077

0.150.902

0.00.00.00.0

0.0

0.0

0.00.0

0.0

0.00.0

0.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft

75.5 ft110.0 ft120.0 ft127.7 ft130.0 ft140.0 ft150.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

1i

Attachment 1 to "MicroShield 5 Verification Using QADMOD-GP"MicroShield to QADMOD Comparison (Cylindrical Geometry - Unshielded Annulus)


240hr - Air Annulus -6 2 3 20 0 0 0

7.20+130.0 100.0

800.0 900.0 11600.0 1700.0 12720.0 2820.0 23520.0 3620.0 3

0.0 0.3927 03.1416 3.5343 36.2832

1 0 12 0.0 22 0 12 0.03 3 0.04 3 313.05 3 333.36 3 2720.07 3 4000.08 0 12 0.0 2:1 28 3 42 21 2 3 43 28 4 54 11 2 4 55 28 5 66 21 2 5 67 21 6 78 21 2 6 79 21 8 3 410 2 1 8 4 511 2 1 8 5 6

2.331.22-03

25 232.5 1.75

0.00 0.00AIR EXP

2256.0 0.0 34.2300.0 0.0 3:3352.8 0.0 3:3657.6 0.0 313892.3 0.0 3:3962.4 0.0 314267.2 0.0 314572.0 0.0 314806.7 0.0 315181.6 0.0 3:6096.0 0.0 316858.0 0.0 317620.0 0.0 31


0 22 13 16 0 0

200.0000.0800.0920.0720.0.7854.9270

195.07000

134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0

30000

30000

30000

3000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.25 0.75 0.4 0.15O.000 0.021 0.091 0.888

W0.0L2.0L2 .012.012.012.0L2.0L2.0L2.0L2.0L2.0L2.0L2.0

MREM0000000000000

-1

PER HOURHt 112ft


17



336 hr - 16 20 0

4.26+130.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 26 27 28 29 210 211 2

2.33

25 232.5

0.000AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

Air Annulus - Cylindrical Geometry3 2 8 11 1 -2 10 0 0 3 5 0

0 22 13 16 0 0

100.0900.0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.0

2720.04000.0

0.03 3 4L 2 33 4 5L 2 4

5 6I 2 5

6 7I 2 6

8 38 48 5

200.01000.01800.02920.03720.00. 78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0a1a18111111

4

5

6

74S6

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.75 1.25 0.75 0.40.000 0.000 0.025 0.109

0.150.867

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft


IR

Attachnment 2 to "MicroShield 5 Verification Using QADMOD-GP"QADMOD Concrete Annulus Cylindrical Geometry


1 hr - Concre6 20 0

8.61+130.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 26 27 28 29 110 111 1

2.33

25 232.5

0.409AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

ste Annulus - Cylindrical Geometry3 2 8 11 1 -2 00 0 0 3 5 0

22 13 16 0 0

100.0900.0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.32720.04000.0

0.08 3 41 2 38 4 51 2 48 5 61 2 51 6 71 2 61 8 31 8 41 8 5

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0

4

5

6

7456

03000

03000

03000

03000216021602160

00000000000

1001003203202000200030003000

1003202000

1.22-03

1.75 1.25 0.75 0.4 0.150.104 0.100 0.205 0.051 0.130

0.00.00.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft75.5 ft110.0 ft120.0 ft127.7 ft130.0 ft140.0 ft150.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

19

Attachment 2 to "MicroShield 5 Verification Using QADMOD-GP"QADMOD Concrete Annulus Cylindrical Geometry


2hr - Concrete6 2 3o 0 0

3.73+140.0 o C

-800.0 90C1600.0 170C2720.0 282C3520.0 '362C

0.0 0.3S3.1416 3.536.2832

1 0 12 C2 0 12 03 3 04 3 3135 3 3336 3 27207 3 40008 0 12 01 2 8 32 2 1 23 2 8 44 1 1 25 2 8 56 2 1 27 2 1 68 2 1 29 1 1 810 1 1 811 1 1 8

2.33

Annulus - Cylindrical Geometry2 8 11 1 -2 00 0 3 5 0

22 13 16 0 0

[.00.0

'.0

P.OO'.0

O.0927343

O.0

0.03.0.3D.o0.D.04

546

736345

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.0 400.01100.0 1200.01900.0 2000.03020.0 3120.03820.0 3920.01.1781 1.57084.3197 4.7124

0.0 2195.00.0 7000

0.0 2134.0

500.01300.02100.03220.04000.01.96355.1051

03000

03000

03000

03000216021602160

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

4

S

6

74S6

000000

.0000

100100320320

2000200030003000

100320

2000

1.22-0325 23

2.50.48

AIR EXP

2256.02300.033S2.83657.63892.33962.44267.24572.04806.75181.66096.068S8.07620.0

1.75 1.25 0.75 0.40.09 0.071 0.127 0.042

0.150.19

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1


110.0 ft120.0 ft127.7 ft130.0 ft140.0 ft1S0.0 ft157.7 ft170.0 ft200.0 ft225.0 ft250.0 ft

20

Attachment 2 to "MicroShield 5 Verification Using QADMOD-GP"QADMOD Concrete Annulus Cylindrical Geometry


4hr - Concret6 20 0

7.77+140.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 2 J6 2:7 2:8 29 110 111 1

2.33

25 232.50.45

AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

:e Annulus - Cylindrical Geometry3 2 8 11 1 -2 00 0 0 3 5 0

22 13 16 0 0

100.0900. 0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.3

2720.04000.0

0.08 3 41 2 3B 4 51 2 4B 5 61 2 51 6 71 2 61 8 31 8 41 8 5

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01.17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0

4

5

6

74S6

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.75 1.25 0.75 0.4 0.150.08 0.06 0.1 0.03 0.28

0.00.00.00.00.00.00.00.00.00.00.00.00.0

3420.0312.0312.0312.03.12.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft


21

Attachment 2 to "MicroShield 5 Verification Using QADMOD-GP"QADMOD Concrete Annulus Cylindrical Geometiy


8hr - Concret6 20 0

8.50+140.0

800.01600.02720.03520.0

0.03.14166.2832

1 0 122 0 123 34 35 36 37 38 0 121 22 23 24 15 26 27 28 29 110 111 1

2.33

25 232.5

0.323AIR EXP

2256.02300.03352.83657.63892.33962.44267.24572.04806.75181.66096.06858.07620.0

:e Annulus - Cylindrical Geometry3 2 8 11 1 -2 00 0 0 3 5 0

22 13 16 0 0

100.0900.0

1700.02820.03620.00.39273.5343

0.00.00.0

313.0333.0

2720.04000.0

0.08 3 41 2 38 4 51 2 48 5 61 2 51 6 71 2 61 8 31 8 41 8 5

200.01000.01800.02920.03720.00.78543.9270

2195.07000

2134.0

300.01100.01900.03020.03820.01. 17814.3197

400.01200.02000.03120.03920.01.57084.7124

500.01300.02100.03220.04000.01.96355.1051

600.01400.02195.03320.0

700.01500.0

3420.0

2.3562 2.74895.4978 5.8905

0.0 2195.00.0 7000

0.0 2134.0

4

5

6

74

6

03000

03000

03000

03000216021602160

00000000000

100100320320

2000200030003000

100320

2000

1.22-03

1.75 1.25 0.75 0.4 0.150.060 0.049 0.089 0.024 0.455

0.00.00.0

0.0

0.00.00.00.00.00.00.00.0

0.0

3420.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0312.0

MREM0000000000000

-1

PER HOURHt 112ft


22

Attachment 3 to "MicroShield 5 Verification Using QADMOD-GP"QADMOD Concrete Annulus Rectangular Geometry


4hr - Concrete6 2 30 0 0

7.77+14-2194.5 -200t-600.0 -4011000.0 12012720.0 282(3520.0 362C

-1706.8 -1501-100.0 lOC1500.0 170E

1 1 21332 2 164!3 1 -213:4 2 -164!5 3 C6 3 3137 3 3338 3 272C9 3 400C

10 1 219411 2 170612 1 -219413 2 -170614 0 12 C

1 2 1 22 2 1 23 2 1 24 210 115 1 1106 1 1107 1 1108 1 1129 1 112

10 1 11211 1 2 312 1 2 313 1 2 314 1 1 315 1 1 316 1 1 317 214 1018 214 1019 214 1020 214 1021 214 122 114 123 214 124 214 125 214 126 214 127 214 128 214 129 214 1230 214 1231 214 1232 214 1233 214 1034 214 1035 214 1036 214 10

2.33

Annulus - Rectangular Geometry2 14 36 1 -2 10 0 3 5 0

22 13 17

).0).0

Lo o6.O8).65.0'.0

1.6

1.65.90.01.01.3O.0

6.94.6

6.9O.6

1.033312131313222121212

444

1111111111111111111111111111111113131313

-1800.0-200.01400.02920.03720.0

-1300.0300.0

10000.04 5 64 6 74 7 8

13 8 911 5 611 6 711 7 811 5 611 6 711 7 813 5 613 6 713 7 813 5 613 6 713 7 85 66 77 88 95 66 77 88 95 66 77 88 95 66 77 88 9

12 5 612 6 712 7 812 8 9

-1600.00.0

1600.03020.03820.0

-1100.0500.0

-1400.0200.01800.03120.03920.0-900.0

700.0

0.0 10000.0

-1200.0400.02000.03220.04000.0-700.0900. 0

100100100100

216021602160

000

-2160-2160-2160

000

30003000300030003000300030003000-3000-3000-3000-3000-3000-3000-3000-3000

0000

-1000.0600.0

2194.53320.0

-500.0 -300.01100.0 1300.0

0 0

-800.0800.0

3420.0

100100100100000

170017001700

000

-1700-1700-1700

0000

30003000300030003000300030003000

0000

-3000-3000-3000-3000

10032020003000

1003202000

1003202000

1003202000

1003202000

10032020003000

100320

20003000

10032020003000

1003202000300010032020003000

1.22-0325 23

23



2.5 1.75 1.25 0.75 0.4 0.150.45 0.08 0.06 0.1 0.03 0.28

AIR EXPMREM PER HOUR

3413.8 0.0 3420.0 0 Ht 112ft2300.0 0.7809 312.0 0 75.5 ft3352.8 0.7809 312.0 0 110.0 ft3657.6 0.7809 312.0 0 120.0 ft3892.3 0.7809 312.0 0 127.7 ft3962.4 0.7809 312.0 0 130.0 ft4267.2 0.7809 312.0 0 140.0 ft4572.0 0.7809 312.0 0 150.0 ft4806.7 0.7809 312.0 0 157.7 ft5181.6 0.7809 312.0 0 170.0 ft6096.0 0.7809 312.0 0 200.0 ft6858.0 0.7809 312.0 0 225.0 ft7620.0 0.7809 312.0 0 250.0 ft

-1

24



8hr - Co60

8.50+14-2194.5-600.01000.02720.03520.0-1706.8

-100.01500.0

1 12 23 14 25 36 37 38 ,39 3

10 111 212 113 214 0 121 22 23 24 25 1

ncrete Annulus - Rectangular2 3 2 14 36 10 0 0 0 3 5

-2000.0-400.01200.02820.03620.0

-1500.0100.01706.82133.61645.9-2133.6-1645.9

0.0313.0333.327iO.04000.02194.61706.9-2194.6-1706.9

0.01 2 31 2 31 2 3

10 11 121 10 13

-1800.0-200.01400.02920.03720.0-1300.0300.0

10000.04 5 64 6 74 7 8

13 8 911 5 6

-1600.00.0

1600.03020.03820.0

-1100.0500.0

Geometry-2 10

-1400.0200.01800.03120.03920.0-900.0700.0

22 13 17

0.0 10000.0

6789

101112131415161718192021222324252627282930313233343536

1 11 11 11 11 11 21 21 21 11 11 12 142 142 142 142 141 142 142 142 142 142 142 142 142 142 142 142 142 142 142 14

2.33

1010121212333333

10101010

111111111212121210101010

1313222

1212124441111

111111111111111111111111111113131313

111111111113131313131356785678567BS67812121212

78678678678

-1200.0400.02000.03220.04000.0-700.0900.0

100100100100

216021602160

000

-2160-2160-2160

000

30003000300030003000300030003000-3000-3000-3000-3000-3000-3000-3000-3000

0000

-500.0 -300.01100.0 1300.0

-1000.0600.02194.53320.0

100100100100000

170017001700

000

-1700-1700-1700

0000

30003000300030003000300030003000

0000

-3000-3000-3000-3000

100320

20003000

100320

200D1003202000

100320

2000100320

200010032020003000

10032020003000

10032020003000

1003202000300010032020003000

0 0

-800.0800.0

3420.0

6789 2.33

1.22-0325 23

25



2.5 1.75 1.25 0.75 0.4 0.150.323 0.060 0.049 0.089 0.024 0.455

AIR EXPMREM PER HOUR

3413.8 0.0 3420.0 0 Ht 112ft2300.0 0.7809 312.0 0 75.5 ft3352.8 0.7809 312.0 0 110.0 ft3657.6 0.7809 312.0 0 120.0 ft3892.3 0.7809 312.0 0 127.7 ft3962.4 0.7809 312.0 0 130.0 ft4267.2 0.7809 312.0 0 140.0 ft4572.0 0.7809 312.0 0 150.0 ft4806.7 0.7809 312.0 0 157.7 ft5181.6 0.7809 312.0 0 170.0 ft6096.0 0.7809 312.0 0 200.0 ft6858.0 0.7809 312.0 0 225.0 ft7620.0 0.7809 312.0 0 250.0 ft

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docket no. 50-271 bvy 03-116 · "transition to isolated condition not credited location of tsc...

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