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Cover Sheet for a Hanford Historical Document Released for
Public Availability
Released 1995
Prepared for the U.S. Department of Energy under Contract
DE-ACOG-76RLO 1830
Pacific Northwest laboratory Operated for the U.S, Department of
Energy by Battelle Memorial Institute
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G E N E R A L E L E C T R I C HANPORD ATOMIC PRODUCTS OPERATION
- RICHLAND, WASHINGTON
DATA AS
D O T H E R OFFlClAL CLASSIFIED INFORMATION
TH1 S MATERIAL CONTAINS I NFOR MAT1 ON AFFECT1 NG T H E NATIONAL
DEFENSE O F THE UNITED STATES WITHIN THE: MEANlNG OF THE ESPIONAGE
LAWS, TITLE 18, U. S. C., SECS. 793 AND 794, THE TRANS- MISSION OR
REVELATION OF WHICH I N ANY MANNER TO AN UNAUTHORIZED PERSON 1s
PROHlBlTED BY
F I L E DES I GNAT1 ON
DOCUMENT NO.
m-31905
DATE
May 20, 19% COPY NO. AND SERIES
Critical. Mass Calculations f o r the Recuplex Izstal la t
ion
AUTHOR . . R. P. R a f t e r g
P
t t
-
C O M P A N Y I
. . . . HANFORD A T O M I C PRODUCTS O P E R A T I O N
c: 1. Fw Utm?gh >u.* GM Maler 2. R3 Beeton 12. WJ Ozeroff 3.
VR C o o p e r 13. RP R d t e r y - D D L w n i n g 4. DE Davenport
7-494 14. WH R e a s 6. PF Gas t 7. OH Greager 8. OF Hill 9. E F K
u r t z 3.0. WH Mobley
5. JE F a u l h e r ~ m c r i i o t b ~ I I 3.5. AE -5th 16. GW
Stuart 1-7. WK WDods
21. 300 Files 22. Y e l l o w C o p y
18-20. mrs.
T h i s document consists of T h i s docwent c lass i f ied by
B. R. Leonard
11 pages. copy NO. / I I - of 22 copies. -
CRITICAL MASS CALCULATIONS FOR TBE RECUPLEX INSTAIlLATIOR
bY
R. P. RaStery
43 A P R I M E C O N T R A C T O R F O R T H E U.S. A T O M I C
E N E R G Y C O M M I S S I O N
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- 2- m-31905
A B S T R A C T
The methods of an aml.ysis of the c r i t i c& safety of
process tanks
i n the Recuplex instal la t ion ewe discussed and resu l t s of
the
analysis are tabnlated i n this report.
f o r a thermal chain reaction
f o r 400 MWD/T Pu f o r each tank i n the instal la t ion which
normally
contains, o r c o d & contain, plutonium. All estimates are
based on
experimental c r i t i c a l mass data from the P - l l project
and from
O a k Ridge crit ical . mass experiments.
A minimum c r i t i c a l condition
is estimated f o r 0-200 MWD/T Pu and
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HW- 3 19G5
h extensive exaBnation of t h e prcceas vessels in the Recupiex
insfallation and t h e m a neutron ref lectors i n tke vfcizt ty of
these vessels has been made. Since m m t y of these vessesP v e x
Pculzii to 3e not aQways c r i t i ca l ly sgfe from them&
cha2.n reactions, it i s ecessazy to establksh l i m i t s on the m
a x i m u m aaouzt of plutonium which can safely be coa%&ned fn
an;y one tank at any tiae. Subsequent t o the s 3. Ozeroff" of the
chain reacting Units in the Recqlex p r o c e s z ? , a complete
set of" pz5n-f~ of the installation was ob- tained and an
exmination of each t u azd 2 t s swrounr?ings, as indicated on
these primts, vas made with regar6 t o c r f % i c d safe53.
examfnation, estfmates 400 MWD/T plutonium exposures of the
rniz&mm c r i t i c a l condition f o r each vessel fn the ins
ta l la t ion which acmaEy contatzs or9 tbough operational emoss,
could contain plutonium in solution o r as a preeiipita-be.
y made 37 W.
A s a result of t M s have been ms2e %o%b on tfie basis of 0-200
MWD/T and
11. KETSODS OF maysrs The ins ta l la t ion f s contained in t h
e e large luc i te hoods i n the 234-3 Building, the slag and
crucible hood, the solution receptfon and blending hood, and the
solvent extraction hood. Each hood i s roughly 4.5' x 269 x 16'
high. t t o n t o the actual process o r plutonlm--iearing tanks,
each hood contains a supporting framework, process piping and
associated valving and f i t t ings, process pmps, and auxiliary
tanks. Each of these serves t o some degree as a thennal neutron
ref lector for the product-bearing tgsks.
In addi-
Xn the following estimates, therma3. neutron ref lect ion from
the supporting framework, process pumps, luc i te hood panels, the
concrete floor, auxiliary tanks, pipes and f i t t i ngs , process
t a d w a l l s , and operating personnel near product-bearing
tanks' has been approximated by an equivalent reflector thick- ness
f o r each hmlr. In addition, interactton between nemby
product-bearing tanzks was taken in to account. upon the minrfmum c
r i t i c a l conditions f o r each individual tank. pipes within
one foot of each tank were assumed t o cross-sectional tank area by
an axnoun$ equal t o the sum of the cross-sectional areas of the f
l u i d i n all. pipes w i t h i z this distance.
These two factors have a very significant e f fec t
Product-bearing
increase the effective
The fo1lowing approximations were ma6e t o accomk f o r thermal
neutron reflec- t ion from near3y objects:
1) For ref lectors of ma21 cross-sectfond mea, such as small
pipes and members of the supportfw framework,
Equivalent refl. tlhic-kmess = Y w - R ,
where R i s the &stance betwee2 the cen%erlines of the tank
and reflec- t o r m d C.S,A. is t l e ez-oss-sectfond. area. of the
reflector.
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-le-
current density out current density i n fl = albedo [refP.
coef'f". of' actual r e f l ec to r =
pa )= albedo of an i&ixxi%ely tMck r e f l ec to r
surrounaing the process tank. The remaining quantit ies are shown i
n the following diagram:
,(is plotted versus re f lec tor thickness i n Figure 1, taken
from HW-25374. (2) This relationship between ref lector thickness
and extrapolation length is based upon an extrapolation length of
6.1 cm in water.
Estimates of the in%era?%fon between product-bearing vessels
were made on the bas is cf experimental. data on the interaction
between r ightcircular cyl2nders of several diameters containfng
water solu%loss of 0-235 as reported i n K-406. The following
empfrfcal equation WBS found 57 trial and error. experimental da ta
quite we91 an3 is a good approximation within the given l
imits.
(3 1 It f i t s the
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I I
. *"
w h e r e
a = inside diameter of tank in inches
_ c - A a - fTactfonal iacrease f n effect ive diameter of one
tank due to the e f f ec t of the second. a
d = edge - to-edge tank separation faa fnches = albedo for the
combhed waSP thicknesses of t he interacting tanks
o( and f l are indicated %n the fo l lowbg diagram:
I
_.--_ -
Interact ion between product-bearing vessels of less than
eight-inch inside diameter i n the Rccuplex in s t a l l a t ion
was conside-red t o be that between two eight-inch cylinders. Eight
inches i s the smallest diameter to which the experbente l data can
be extrapolated. diameter vessels The in te rac t ion between large
product-bearing vessels used process negligible. A discussion of
this eqdation can be found i n HW- 29396. t'l Figure 2 i s a plot
of the fnteract ioa between t w o para l le l eight- fncb r igh t
circular cylfnders eQht feet fza lengbh versus the centerline-to-
ce25erPfne separation of the vessleu f o r various r e f l ec to r
thicknesses of stain- Zess s t e e l bekween the interacting
cyltnlders. for the preceding equation i d ) I s 3 . 3 inches f o r
eight-inch cylinders.
The interact ion between smaller i s lower and therefore the
above assumption is conservative.
i n the Recuplex
The lower l i m i t of separation
-
f -7-
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i: - d- Ed-3 1905
where
V = volume of Pu solu%lo~ in l i ters
r239 = cross sectlon f~ b v m , taken t o be ll5O
W = Pu-240 fke l fraction, %&en as 0.0295 f o r 400 MWD/T
and 0 ?OF 0-200 Mw3/T
~ p O i S O E 1 = nacroscop~c cross section, taker as 0.0220
cm-1
These equations were derived on t e b s4 of' expeflaental data
obtained from ?-I2 c r i t i c a l mass experbents. d, &,I8
1
The pmduct-beariag ta&s haye bees d:vLaeed physfed inside
tmk diameters, about sevea inches i s sZde diameter are reported e
r l t i c d . concentration. t ed t o be s&e as l a g as the
p2~i--lordm comeatration i n the tank the specffied Iiait. chosen
fn repoPtfng mf&m critical concen%ra+,fons f o r these smaller
tanks. T h i s w a s dloxie fn d e w of the so3aewha-t Q W t e d
p
prediction fomuLa f o r c r f t f ca l mass is based, predfctea
by the ecpation exceeded ZgO gram per l i t e r f o r several
tanks, but in view of %&e mcep',aicty of validity i z z
?&is range, the l i m i t s are reported as 150 grams per l i
ter . L M t s for the Parp;er'.taz&s of about f i f teen inches
inside fiameter and greater are r e p o ~ e d P a grams of
plutodum, o r m i n i m u m c ~ L t f c a P mass, a =ore
signifPfcm-b a d reali3SIc f " igze thm sa estfaated c r i t i ca l
concextra- tioE. h the basis of' concez&Pa%iox, the ma5mm safe
amount of plutonium fn these larger tanks v07d.3 be qxi%e high if
822. of the pl~~tozxirn in the tanks always reza2zed 5 3
so>snr;iez..
i n to two groups oc. the basis of Mnimi c r i t i c a l
conditions for mall tanks of
i n grams per l i ter , o r minimum
5s less than AB^ volume of solution i n one of these tanks i s
estima-
h mper cowentratiosa Pftnft of 150 grms per l i t e r was
e of concentrations of plu- tordm s01ut;ions used fn the P-99
expenoisaents bY upon which the semiempirical.
The allowable concentrations
The &aimla81 c,-f$fc& miss of pfutonim i n these larger
tanks i s
"%&en, hcwever, %be pcss2biEty of a plutonium
-
- 9-
precipi ta te exists, much higher than normal concentration of
plutonium Could be present i n one section of such a tank and
critical condftions m2gM be approached. Therefore, such
calculations 8se based on the minfmum c r i t i ca l mass i n the
tank rather than the m i n i m u m c r i t i c a l concentration,
and result from the assumption of a homogeneous l a e of
precipitate, water tamped on top and bottom, being formed i n the
tank. T?T The following are estimates of the minimum c r i t i c a
l conditions f o r product- bearing vessels i n t h e Recuplex in s
t a l l a t ion based of approximation. The first table l ists the
s m a l l diameter vessels and the second l i s t s those of
comparatively large diameter.
on the preceediu methods
TABLE I
Tank Estimated M i n i m u m Cr i t ica l Concentration f o r
Number 0-200 MWD/T Pu 400 MWD/T Pu
k/l) ( 8/11 31-31 G-16 G-17 G-28 G-42 G-46 G-47 G-48 G-50 G- 51
G- 54 E-1 ms H-1 COL E-1 BDS H-2 TDS H-2 COL H-2 HDS E-3 TDS H-3
COL H-3 BDS H- 9 H- 10 H-11 J- 1 J- 2 5-3 5-4 5-5 5-6 J-? J- 17
5-25 5-30 5-31
Safe* Safe Safe Safe 90
Safe 110 100
85 135 Safe 100 SsSe 70
100 Safe - 70 100
-Safe 70 105 100 95 150 140 130 Safe Safe Safe 150 80
Safe Safe Safe
Safe* Safe Safe SaSe 135 Safe 150 150 120 150 Saf'e 150 Safe '
95 150 Safe - 95 150 Safe 95 150 3-50 145 Safe 150 150 Safe Safe
Safe Safe 110 S d e Safe S d e
*Safe from thermal chain reaction for MWD/T Pu l is ted
-
D - l D-2 D-3 D-4 D-5 a- 6 D-Y D- 8 D- 9 D- 10 D-3.3. D- 12
D- 26 D- 27 D- 28 G- 9 G- 10 G-15 a-36 a-44 e- 52 e-j8 K- 1 IC-
2 K- 9 L- 2 L-3 L- 8
D- 23
Tank Dbmeter
28 28 14 14 29 31 31 30 30 16 16 16 22 2c 18 28 32 34 I 34 34 18
34 30 26 26 17 42 42 42
1300 13m 670 650
a3 00 agoo agso 1473 I430 675- 675 7@0 950 550 750
k3@0 1 6 ~ ~ 1800 1800 a800 750 1800 1450 1200 2200
2600
2600
650
2600
1450 1450 7 ~ 1 ~ 9 7501
1400 1700 1700 1600 1600 775/P 775 775 1050 950 850 1450 1750
1950 1950 1950 850
1950 1600 1300 1300 730
2800 2800 2800
Tiaese estimates as"e not v a l i d f o r exposures lower than
those upon which they ape base&e For Xgher exposures they are
somewhat con- servative. Thus, the es%bat,es in the first column
are considered s d e f o r any W/T PU, wuse those i n the second
are considered s d e for 400 MWD,~! pt1, or greater.
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-11- Hw-31905
REIPEREXCES x
1.
2,
3 .
4.
5-
6 .
Ozerof'f', W, J., Chain Re&ct%ng %fn8%s i n the Reeuplex
Process, HW-27491, Mwch 25, 1953.
L m n i n g , D.D., C r f t f c d Mass Study of 231 Process
Tanks. August 19, 3.932.
HW-25374,
F a d h e r , J. E., Davenport, D.E, , an6 I)sa.epaA,1, G.E., T
e c U c a l Activit ies Report fop September, 1953, Pbysfcs U d t ,
Applied Research, Technical Section, Engineerfng Department,
HW-29596, October 12, 1953.
IIivesi, F. E., E r k m a , J. O . , and L a m i n g , I). D.,
HW-24514, Cri t ica l Mass Stud ies of Plutonfum Solutions, May 19,
1952.
Lanning, D. D., lled t o Purex and Recuplex Design, Hw-27575,
April 1, 1953.
i Technical Section EPTGINEZRII'?G DEPARTMENT I
Physics Unit