A Two-Dimensional Point-Kernel Model for Dose

A Two-Dimensional Point-Kernel Model for Dose Calculations in a Glovebox Array
D. E. Kornreich and D. E. Dooley
~-
Los Alamos National Laboratory
I. Background
An associated paper’ details a model of a room containing gloveboxes using the industry
standard dose equivalent (dose) estimation tool MCNP.2 Such tools provide an excellent means
for obtaining relatively reliable estimates of radiation transport in a complicated geometric
structure. However, creating the input deck that models the complicated geometry is equally
complicated. Therefore, an alternative tool is desirable that provides reasonably accurate dose
estimates in complicated geometries for use in engineering-scale dose analyses.
In the past, several tools that use the point-kernel model for estimating doses equivalent have
been constructed (those referenced are only a small sample of similar
This new tool,
the Photon And Neutron Dose Equivalent Model Of Nuclear materials Integrated with an
Uncomplicated geometry Model (PANDEMONIUM), combines point-kernel and diffusion
theory calculation routines with a simple geometry construction tool. PANDEMONIUM uses
VisioTM5
to draw a glovebox array in the room, including hydrogenous shields, sources and
detectors. This simplification in geometric rendering limits the tool to two-dimensional
geometries (and one-dimensional particle “transport” calculations).
DISCLAIMER
This report was prepared as an account of work sponsored by an agency of the United
States Government. Neither the United States Government nor any agency thereof, nor
any of their employees, make any warranty,express or implied, or assumes any legal liability or responsibility for the accuracy, completeness, or usefulness of any information, apparatus, product, or process disclosed, or repments that Luse would not infringe privately
owned rights. Reference berein to any specific commerdal product, process, or service by
trade name, trademark, manufacturer, or otherwise does not necessarily constitute or
imply its endorsement,recommendation,or favoringby the United States Governmentor
any agency thereof. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Government or any agency thereof.
DISCLAIMER
Portions of this document may be illegible
in electronic image products. Images are
produced from the best available original
document.
II. TheModels
The geometry module currently contains a library of four types of geometric structures: 1)
gloveboxes; 2) hydrogenous shields (e.g., polyethylene shields or persons); 3) dose measurement
points (either single or grid-structured); and 4)sources. Attributes of the gloveboxes include
dimensions, position, orientation, and shielding makeup; attributes of the hydrogenous shield
include dimensions, position, and orientation; and, attributes of the source include isotopic
composition and number densities, chemical form, bulk volume, source shielding, and position.
The primary purpose of the geometry model is to calculate the source-to-detector distances and
thicknesses for all shielding materials. The geometric model is exported from VisioTMvia a
Visual BasicTMmacro, which writes an input file that can be read by a FORTRAN code. This
information is sent to the dose calculation module, which uses the standard point-kernel model to
obtain photon doses equivalent and diffusion theory solutions in spherical geometry to obtain
neutron doses equivalent. The neutron current leaving the surface of a spherical source is
radially attenuated to give the flux at a given distance from the source. Neutron dose rates are
given by
0,=hi
R2
J(R)
( R + a)2
9
where
hi = fluence-to-dose factor [mrem-cm2-s/hr-n],6 and
R = the radius of the source [cm],
a = the surface-to-detector distance [cm], and
2
J(R) = the current at the surface of the source [n/cm2-s].
A model to account for neutron thermalization by hydrogenous material is also included in the
calculation of h i . The transport code ONEDANT~was used to obtain a numerical fit for the
attenuation of fast neutrons through increasing thicknesses of water shields. Using this fit takes
into account the decrease in the dose equivalent from neutron thermalization and absorption in
water. Neutron sources from spontaneous fission and (a,n) reactions are also calculated.
Spontaneous fission sources are calculated from decay data and (a,n) reaction sources are
calculated according to data included in the SOURCES-3A code.8
Photon dose calculations are slightly more complicated as a result of a required multi-group
treatment (only in-group interactions are considered). The scalar flux is calculated and accounts
for radial and shielding attenuation. Attenuation coefficients for all shielding materials are
obtained from ANSI? The photon dose rates are given by
where
hL (Ei
) = fluence-to-dose factor at energy Ei (mrem-cm2-s/hr-y),
@ , ( E j )= scalar uncollided neutron flux at energy Ei (y/cm2-s),
' ( E , ) = buildup factor for photons of energy Ei.
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III. Problems and Results
A sample problem considers a very important component of plutonium processing. Figure 1
contains a floorplan of the gloveboxes in a fictitious pyrochemical processing room. Three
important processes occur in this room: electrorefining (ER - purifying plutonium of impurities),
molten salt extraction (MSE - removing americium-241 from plutonium), and multicycle direct
oxide reduction (MC-DOR - converting plutonium oxide to metal). In addition to the processing
gloveboxes, a control area behind a polyethylene shield is also included in the floorplan. In each
of these processes, plutonium metal is present at some point. 4 kg of high-grade plutonium (93%
Pu-239) metal is assumed to be the source for each process. The ER and MC-DOR sources
contain 200 ppm of Am-241, and the source in the MSE glovebox contains 1000 ppm of Am241. All gloveboxes provide 0.25 in of shielding except the MSE glovebox, which provides an
addition 0.125 in of lead shielding.
The EDE matrices for plutonium and americium metal are provided in Table 1. Clearly, the
largest contributor to a worker’s dose is the immediate process on which he is working; however,
this matrix allows for an estimation of the dose he might receive from other processes in the
room. A complete analysis of the doses in this room would require two more matrices like that
in Table 1 - one for plutonium in the salt form (all three processes encounter plutonium chloride)
and one for plutonium in the oxide form (primarily used in MC-DOR).
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References
1. DOOLEY, D. E. and D. E. Kornreich, “A MCNP Model of Gloveboxes in a Room,” Trans.
Am. NUC.SOC.19,255 (1998).
2. “MCNP - A General Monte Carlo Code for Neutron and Photon Transport, Version 4B,”
LA-7396-M, Rev. 2, J. F. BRIESMEISTER, Ed., Los Alamos National Laboratory (1995).
3. MALENFANT, R. E., “QAD: A Series of Point-Kernel General-Purpose Shielding
Programs,” LA-3573, Los Alamos Scientific Laboratory (1967).
4. KORNREICH, D.E., “Efficient Dose Calculations for Glovebox Operations,” 2 1St Annual
Actinide Separations Conference, Charleston, S.C., 55 (1997).
5. Visio TechnicalTM,
“Developing Visio Solutons, version 5.0,” for PCs using WindowsTM
NT
4.0, Visio Corporation (1997).
6. “American National Standard for Neutron and Gamma-Ray Fluence-to-Dose Factors,”
ANSVANS-6.1.1-1991, American Nuclear Society (1991).
7. R. E. Alcouffe, et al., “DANTSYS: A Diffusion Accelerated Neutral Particle Transport Code
System,” LA-12969-M, Los Alamos National Laboratory (1995).
8. WILSON, W. B., et al., “SOURCES-3A: A Code for Calculating (a,n) Spontaneous Fission,
and Delayed Neutron Sources and Spectra,” LA-UR-97-4365, Los Alamos National
Laboratory (1997).
9. “American National Standard for Gamma-Ray Attenuation Coefficients and Buildup Factors
for Engineering Materials,” ANSI/ANS-6.4.3-1991, American Nuclear Society (1991).
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Table 1. EDE Matrix for Process Dose Calculations for Metal.
Dose Providers (mrem/hr-kgPu)
Dose Receivers
MSE
MSE
2.14E-1
ER
1
ER
I MCDOR 1 Controlpanel
2.74E-4
5.90E-4
2.43E-4
2.3OE-1
5.68E-4
MCDOR
4.72E-4
4.49E-4
2.30E-1
Control Panel
8.1 1E-5
6.58E-5
8.72E-4
Dose Providers (me&-kgAm)
Dose Receivers
MSE
ER
MCDOR
Control Panel
MSE
5.15E-1
1.13E-4
7.5OE-4
0
ER
8.35E-5
3.89E+0
1.19E-3
0
MCDOR
5.22E-4
8.75E-5
3.90E+O
0
Control Panel
2.18E-4
3.93E-4
4.82E-2
0
6
-2
MSE
Glovebox
0
lf8"-1/8"-1/8"
SS-Pb-SS
All other containment 1/4"SS
Gloveboxes are 4'by 8
MC-DOR
Glovebox
4" Polyethylene Shield
0
Control
Panel
0 Source
0
Detector
Figure 1. Sample pyrochemical processing room layout.
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