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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
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

                                      2
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


                                               3
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
Annular Tank Experimental Setup
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
Plugs and Slabs
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
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
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
Side
Cases 1-4
Cases 5-6
Cases 7-8
Case 9
Case 10
Cases 11-12
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
Uncertainties Analysis
Experimental               Tanks
 measurements                 ¤   Steel properties
  ¤ Temperature               ¤   Thickness
  ¤ Solution critical         ¤   Diameter
    height
                              ¤   Annular thickness
Solution
 Composition                  ¤   Eccentricity
  ¤   Density                 ¤   Placement
  ¤   Acid concentration    Wood
  ¤   Uranium                 ¤ Physical properties
  ¤   Solution impurities     ¤ Thickness
      and chemistry
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
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
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
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

                                        23
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

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TANKS - ANS 2009

  • 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 2
  • 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 3
  • 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
  • 11. Side
  • 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
  • 19. Uncertainties Analysis Experimental Tanks measurements ¤ Steel properties ¤ Temperature ¤ Thickness ¤ Solution critical ¤ Diameter height ¤ Annular thickness Solution Composition ¤ Eccentricity ¤ Density ¤ Placement ¤ Acid concentration Wood ¤ Uranium ¤ Physical properties ¤ Solution impurities ¤ Thickness and chemistry
  • 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 23
  • 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