1. Analysis of Enriched Uranyl
Nitrate in Nested Annular
Tank Array
John Bess
James Cleaver
Idaho National Laboratory
ANS Annual Meeting, Atlanta, GA
June 14-19, 2009
2. Objective
Benchmark analysis of an array of
nested annular tanks containing
highly enriched uranyl nitrate
solution
Follow guidelines for inclusion in
the International Handbook of
Evaluated Criticality Safety
Benchmark Experiments
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3. Background
Rocky Flats Critical Mass Laboratory
during the 1980s
Tanks of typical sizes found in nuclear
production plants
Series of experiments:
¤ 1) Co-located set of tanks (Benchmarked)
¤ 2) 1x2 array of nested tanks
¤ 3) 1x3 array of nested tanks
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4. Basic Experimental Configuration
Six stainless steel tanks
Surrounded by concrete slabs,
walls, and floor
357.4 g/L uranium in dilute nitric
acid
Two to six tanks filled until
criticality achieved
6. Variations of the Experimental Design
Addition of neutron absorbers
¤ Borated concrete plugs
One with cadmium lining
Placed in center of a pair of annular
tanks
¤ Borated plaster plugs
¤ Borated plaster slabs
Placed between pairs of tanks
8. Critical Solution
Case No. Absorbers/Moderators Tanks with Solution
Level (cm)
1 None 1-2-2*-3*-3-4 103.24
2 None 1-2-2*-3* 116.08
3 None 2*-3* 174.48
4 None 1-2*-3* 150.04
5 3 Concrete Plugs 1-2-2*-3*-3-4 166.54
6 3 Concrete Plugs 1-2-2*-3* 194.58
7 Large Concrete Plug + 2 Plaster Plugs 1-2-2*-3*-3-4 164.575
8 Large Concrete Plug + 2 Plaster Plugs 1-2-2*-3* 196.46
2 Concrete Plugs + Small Cd-Lined
9 1-2-2*-3*-3-4 158.89
Concrete Plug
Large Concrete Plug + 2 Plaster Plugs
10 1-2-2*-3*-3-4 207.9
and 2 Plaster Slabs
Large Concrete Plug + Small Plaster
11 1-2-2*-3*-3-4 121.41
Plug and 2 Plaster Slabs
Large Concrete Plug + Small Plaster
12 Plug and 2 Plaster Slabs 2*-3*-3-4 135.12
9. Additional Non-Benchmark Experiments
Placement of nested hemispheres
of highly enriched uranium
between the tank pairs
Placement of bottled highly
enriched uranyl nitrate between
the tank pairs
Subcritical configuration
10. Benchmark Model Development
Both detailed and simple models were
developed
Simplification include the following:
¤ Omission of rebar and steel reinforcements in
concrete
¤ Omission of wood
¤ Leveling the bottom of the tanks
¤ Simplification of room layout
¤ Correction of solution temperature for difference
between experimental conditions (25ºC) and
measurement of solution density (20ºC)
Removal of impurities is essentially negligible
18. Uncertainties Analysis
Perturbation analysis of
parameters compared to the
detailed benchmark model
Monte Carlo N-Particle (MCNP)
version 1.5.1.4
ENDF/B-VI.8 cross-section library
for evaluation of uncertainties
20. Uncertainties Analysis
Concrete and Largest
plaster contributors to the
¤ Water content total uncertainty
¤ Boron content ¤ Boron-free concrete
density
¤ Density ¤ Solution annular
¤ Isotopic abundance region thickness
of boron and lithium
¤ Thickness
21. Results
Uncertainties determined to be
between 0.79 and 0.90 %∆k/k
Expected benchmark eigenvalues
approximately 1.0000
Calculated results within ~1σ-2σ of
benchmark values
¤ Unique experiments because they use
Gerstley borate in concrete and plaster
22. MCNP5
Case No. Absorbers/Moderators Tanks with Solution ENDF/B-VII.0
keff
1 None 1-2-2*-3*-3-4 0.9984
2 None 1-2-2*-3* 0.9999
3 None 2*-3* 0.9871
4 None 1-2*-3* 0.9907
5 3 Concrete Plugs 1-2-2*-3*-3-4 1.0047
6 3 Concrete Plugs 1-2-2*-3* 1.0089
7 Large Concrete Plug + 2 Plaster Plugs 1-2-2*-3*-3-4 0.9933
8 Large Concrete Plug + 2 Plaster Plugs 1-2-2*-3* 1.0011
2 Concrete Plugs + Small Cd-Lined
9 1-2-2*-3*-3-4 1.0000
Concrete Plug
Large Concrete Plug + 2 Plaster Plugs
10 1-2-2*-3*-3-4 0.9855
and 2 Plaster Slabs
Large Concrete Plug + Small Plaster
11 1-2-2*-3*-3-4 0.9810
Plug and 2 Plaster Slabs
Large Concrete Plug + Small Plaster
12 Plug and 2 Plaster Slabs 2*-3*-3-4 0.9747
23. Conclusions
Benchmark analysis of an array of
nested annular tanks containing highly
enriched uranyl nitrate solution was
performed
Report to be published in the
International Handbook of Evaluated
Criticality Safety Benchmark
Experiments
¤ HEU-SOL-THERM-026, September 2009
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24. Questions?
Rocky Flats
This work was done by Battelle Energy Alliance, LLC under Contract
No. DE-AC07-05ID14517 with the U.S. Department of Energy