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EIR-259.txt
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EiR-Bericht Nr. 259
EIR-Bericht Nr. 259
Eidg. Institut flr Reaktorforschung Wirentingen
Schweiz
A High-Flux Fast Molten Salt Reactor for the
Transmutation of Caesium-137 and Strontium-80
M. Taube, E.H. Ottewitte, J. Ligou
l__l
Wiuarenlingen, September 1975
[ I
EIR-Bericht Nr. 259
A High-Flux Fast Molten Salt Reactor for the
Transmutation of Caesiumn-13%7 and Strontium-90
M, Taube, E,H. Ottewitte, J. Ligou
September 1975
sSummary
1. Introduction
2., rormulation of Reactor Requlirements
2.1 Minimal System Doubling Time Requirements
2.2 Heed for Central Flux-Trap
2.5 Determination of Flux-Trap Size from Destruc-
tlon-Production Balance Reguilrements
Weutronic Consideration
5.1 Burner Reactor Calculations
5.2 IPoderator Requirements
4.4 Motilvations for Molten Salt Fuel
5.4 Outer-Reflector Zone Consideration
Tnermohydraulic Considerations
Murther Parameters of the Burner Reactors
Effect of Keplacing Chlorine with Fluorine
Remarks about Transmutation and Hazard
Coefficients
Conclusicns
Acknowledgment
neferences
page
Summary
A high flux molten salt (plutonium chlorides) fast reactor
(7 GWth) with internal thermal zone for transmutation of Sr-=90
and Cs-137 is here discussed. These fission products have been
produced by breeder reactors with total power of 23 GWth and by the
the 7 GWth fast burner reactor.
For the case when the power breeder reactors achieve a breeding
gain G >0.2 the doubling time for whole system, including the
high-flux burner reactor, equals ~30 years,
The transmutation of 3r-90 and Cs-137 in a total flux of
3,8-1016n cm_gs_l, and thermal flux ~2,O'1016n cm_gs"l can
achleve the steady-state which corresponds to an effective
half-life of 1,8 year for Sr-90 and of 8,9 years for Cs-137.
In terms of hazard coefficient the transmutation system gives
an improvement of 14 times.
The impact of numerous parameters is discussed, e.g., chemical
form of both nuclides, nature of moderator in thermal zone,
moderator, layer, fuel composition, radius of thermal zone,
ratio of burner/breeder reactors etc, The effects of replacing
chlorides with fluorides as fuel for fast core is also dis=-
cussed.
1. Introduction
The alm of this work was to study the concepfi of transmuting
Sr-90 and Cs-137 in a very high-flux reactor. These two
isotopes are of particular interest because of their high
yield in fission, their longevity and their biological hazard.
The rather high yields (Y: mol %) from fission are
U-233 U-235 Pu-239
Sr-90 ~6,2 ~5,1 2,2
Cs=137 6,6 ~6,0 ~6,7
Assuming each of the above fissile fuels to be equally prevalent
in the future, the mean yield is 4.1% for Sr-90 and 6,4% for
Cs=137.
The half-lives (28 years for Sr-90 and 30 years for Cs-137)
indicate the longevity of the isotopes. To "significantly" reduce
their activity (by a factor of 1000) through natural decay would
take 300 years,
The blological hazard 1s reflected in the maximum permissible
concentrations (IAEA, 1973):
Nuclide in air3 on water
(uCi/em”) (uCi/em?)
Sr-90 1.207° 1.107°
Cs=-137 6-10"8 4-10'Ll
This 1indilcates that Sr-90 is roughly 50 times more hazardous than
Cs=13%7 and warrants prime attention.
These facts have understandably prompted numerous transmutation
studies (Schneider 1974; see also Taube, 1975). The most opti-
mistic has been ftransmutation in a controlled thermonuclear
reactor CTR (Wolkenhauer, 1973). However, even unrealistic flux
levels in CTR could only reduce the transmutation half-1life
from 30 years down to 5-15 years. The time required for
"significant" reduction is five to ten times longer than indi-
cated above, That would be longer than the usual life of a power
plant. Furthermore, Lidsky (1975) has pointed out that for any
reasonable ratio of fusion burners toc fission reactors, the
burners soon contain a much higher radicactive burden than the
fission reactors themselves. This is certainly undesirable, and
probabvly intolerable. A motivation for alternate solutions
remains.
This work examines the basic reguirements to obtain a system cf
reactors which provide adequate breeding and self-destruction of
figsion products. These requirements lead towards the inclusion
in the system of a molten salt burner reactor with a central
flux-trap (Taube 1974).
2. Formulation of Reactor Requirements
2.1 Minimal System Doubling Time Requirements
1t was assumed at the outsef that a very-high flux reactor for
fisslon product transmutation would be special, only one being
bullt for every L (breeder) power reactors. Such a system of
L+l reactors should provide a doubling time T <30 years;
this 1s estimated to satisfy the needs of future world power
development.
Doubling time i1s defined by
1 GWatt thermal operating day 1 year
1.1 kg fuel fissioned 365 days
1 kg fissiles destroyed (absorbtion) InZ doubling time
X X
G kg fissiles net galn per e-folding time e-folding time
(I+F) kg fuel fissioned 1 kg fissile fission 1
kg fissile fissioned 1+a kg fissile destroyed (abs)
1 calendar day SI kg fissile s in systen
C operating day MWatt thermal
)5S L . I+ 1
(I+1) Isys 1ne 1.73 (I+F)S Sys
(1+u)CuSyS x 1.1 x %65 (l+a)CGSyS
N
where fuel = fertiles and fissiles
fissiles = Pu-239, U-235 and U-233
SIi = speclfic fissiles inventory in the reactor sub-
system 1 = I./P.,
i" 71
Ii = fissiles inventory in reactor subsystem i (inclu-
ding fuel cycle).
Pi = thermal power level 1n reactor type 1
I = fertile to fissile fission rate =~.2
Q = capture to fission cross section ratio ~.2
C = fraction of time at full power ~.8
i = I
oI bu/Ibr
bu = burner reactor subsystem
br = breeder rcactor subsystem
T) -
“p Pbu/Pbr
shen 1+G. P+ .7 LG, + B_G
a - br “br bu ~bu _ br P bu
sys : - L+
s Pb bu b BP
T + +
o _ 8ys _ ler Ibu ~ (L BI) a7
- s5ys P ) LP + P ) (L + B.) br
SyS br ou P
It
wetting (conservatively) Gbu -1, and dropping "br" subscripts
one nas
Tnen, assumlng the previous nominal values for a, C, and F, the
doubling time reqgulrement 15
2.16 (LB,
T F < 30
Solving for X = L/BP, the ratio of thermal power in the L bree-
ders to that consumed in the burner, the requirement becomes
B /B, + 13.89/81
X >
(13,89/8I) ¢ - 1
In Table 1 this relation is studied over reasonable ranges of
values for G, SI and BI/BP' As one mlght expect, the possible
variations in G produce the largest changes in the requirements
on X, Furthermore, Table 1 suggests a minimum requirement that
X 23, with nearterm practical requirements approaching X = 10.
Table 1 Minimum "X" Requirements to Accomplish a Burner/Breeder
System with 30 Years Doubling Time
G = Breeding Gain = BR-1
MwWwatt thermal Advanced Current
speclific fissile Breeder Breeder
inventory Art Art
kg fisslile in system
ST BI/BP G = .4 G = .2
1 3.09 7. U3
0.8 2 3,26 7.83
3 3. 42 8.24
1 5,27 &.37
1.0 2 5,49 8,94
3 3,71 9.50
1 3,47 9,57
1.2 g 3,74 10.3%
2.2 Need for Central Flux Trap
To accomplish a significant fission product transmutation rate
will reqguire high neutron absorption rates. For both Sr-90 and
Us=1357, the thermal absorption cross section (in barn) is one
or two orders of magnitude greater than in the fast neutron
region:
EP o(.0253% eV),b o(fast reactor),b c(.,025% eV)/ofast
Sr=50 0.8 0.0076 ~100
Cs=-137 O.11 0.0137 ' ~ 8
Consequently, the transmutation might be best accomplished in a
central thermal flux trap surrounded by a fast fuel region (for
high flux levels), If o¢(total spectrum, flux trap) =
1/2 « o(E = .0253% eV) the estimated total flux étot just to
match (K=2) the natural decay rates is
ffor Cs=1357:
hgd3T 16 —2 -1 . 137
1.%*107 " n ecm s ("R = 7.35-10_103_1
o
11
.
MO
it
)
7.88+10 1% "1y
HH
H
:
N
I
ro
=
o
O
@)
3
—~
w
I
2.3 Determination of Flux-Trap Size from Destruction-Production
Balance Reguirement
Another important requirement will be that the FP transmutation
rate 1n the burner flux-trap (FT) exceed the production rate in
the power and burner fuels:
flux - Mtransm. Velux L N
br bu
trap trap
° _ dNi _ . JFP e1~10 .
where Ni = 3T Pi Y 3,110 (fiss/Ws)
where Ni = the number of F.P. atoms in subsystem 1.
FP _ _ ,FP. FP
transm, (00 + kB>FP =g
using Pbu = BP Pbr and X = L/BP - get
FP
Y ©P
NFP ____bu_ (X + 1) - 3.1_1010
. FP, FP
fine K AB
trap
(Any additional transmutation beyond this would help to remove FP
inveatory from reactors outside this system. However, for trans-
mutation to be a significant improvement over tne 1000-fold
decrease 1in 300 years by natural beta decay, it should then be
accomplished 1n a much shorter time. A reasonable goal 1s 30 years
(K=10), the lifetime of a power plant.)
Assuming a central thermal flux trap in spherical geometry, the
racgius 1s tnen
| | T1/3
R (cm) I 3.1'1010(X+1)109 P {(gigawatts) . YFP ;
A1 ux | Hm 5,023 - 1025 atoms KFPQFPA FP,
- mole B
trap
an
P . . - :
where pi = density of FP nuclei (moles cm 3) 1n the flux trap
reglion,
10
3. Neutronic Consideration
3.1 Burner Reactor Calculations
To analyze the burner reactor, calculations were made by ANISN-
code in the Su transport-theory approximation and checked in 88
with 23 energy groups and approx. 100 spatial positions (checked
by 160 spatial positions). Pl—approximation cross sections were
produced mostly with the GGC-3% code which utilizes ENDF/B-1 and
-2 and GAM data. Sets for Cs=-137, Sr-90 and F were made in
less exact fashion from AAEA and Hansen-Roach data, Fig., 1
shows the group structure,.
A reference burner reactor model is shown in Figure 2, The flux
trap 1s surrounded by a BeO spectrum-converter, a critical fuel
thickness, and an outer wall {(see Table 2).
Figure 3 shows the calculated flux distributions. The total flux
in the fuel is similar to that in the flux trap. The calculated
fluxes lead to the conclusion (used in section) that o(total
spectrum, flux trap) = 1/2 « o(E = ,025% eV),
10
12
J
11 -
11
Pig., 1 Neutron spectrum in the core
- -0 -
Total mean flux H.OB'lOlO 27
Specific power 10.1 kwem
Total power 7 GWth
arbitrary
units
Hedytrom energy group:
21 19 17 15
N
15 12 11 10 9 3 ! 6 5
Lethargy
Flg. 2
12
High flux burner reactor
Reflector
Target
J ob g 100 " 2
-
] Total fluxX ———jéi
T Thermal flux B \ /
o (2% groups) \ ///
o ‘/
_ Va7
,/" 1//
//”” *//
] Fast I'Lux "
O. group .~ 4
7 (1,35 —/?.,Kfew )/
4 ‘/' /
./
1 ..~ /
EEE
13
Table 2 High-flux burner reactor with chloride fuel
Total power 7 GWtn
Zone Components Neutron flux |Specific power
o 24, -3 16 -2 -1 -3
Radius (cm) atom 10~ /cm 107" n em “s (kW cm )
Volume (cmB) total transmutation
thermal rate (s“l)
I
0 + 78.5 cm Ce=-137 00,0116 w9
Target . Sr-90 0.0016 5,83 Cs=i50 ~ 1,7°10
Vol. 2+10 cm 8] 0.0145 2,05 -8
0 2 o1kLn Sr-90 1,110
11
78.5 - 88 cm Be 0.060 %l%%
Moderator 0 0,060 ’
with thin 4,365
graphite layer 0,201
IIT
58.0 - 94,56 em| Pu-23% 0.0014
tuel Pu-240 0.0004 -5
* 0
Pu-241 0.0002 4,05 L0, 1 kiem
) 0,0156
Vol.6.9-107cm” | & v.lel
e Cl 0.0180
IV
94,6 - 97.6 cm| Fe 0.08 4,00
Wall 5,10"5
V
¢7.6 - 200 cm Fe 0.083 5,39
Fellector 1,8‘10_5
o, 41077
10-12
14
5.2 Moderator Reguirements
To accomplish a thermal neutron flux trap one must naturally
employ neutron moderating materials in and about it. As is well
known, light materials can scatter neutrons past the neutron-
absorbing intermediate-energy resonance region. iH 1s the most
efficient nuclide in this respect but also exhibits appreciable
2D 9
172 5
1s a blt heavy though frequently already present in a molecular
thermal absorption. Be and 120 are usual alternatives. 80
combination. Other light nuclides have unacceptable nuclear or
physical limitations,
Considering chemical and physical properties, the logical mate-
rials to be used inside the flux trap are hydroxide and/or
deuteroxide compounds of the FP, Figure 4 shows that just a small
proportion of H molar fraction has a large deleterious effect on
the Cs=-137 transmutation rate., This is due to the H absorption
cross section, Therefore, CsOD and SP(OD)2 are preferred.
As Sr-90 and Cs-137 also have their fair share of resonances it
1s advantageous to thermalize the flux before reaching the flux
trap region containing these targets. Therefore a spectrum con-
verter between flux trap and fast fuel is needed. Bearing in mind
the high temperatures to be obtained in this reactor and possible
chemical reactions with molten salt, HEO and D20 are unacceptable.
This leaves Be, BeO and graphite or some variant therefore for
consideration., Be {(and D) compounds, of course, have also to
their advantage a relatively low (n,2n) threshold (1.67 MeV),.
Location next to a fast region can therefore produce considerable
extra slow neutrons 1n the flux trap - which is a main objective
of the burner reactor. Replacement of Be by C or Mo wall material
should therefore lower the FP transmutation rate, and it does
(Table 3)., Figure 5 indicates an optimum thickness of about 5 cm Be.
For the sake of safety and higher melting temperature, BeO 1is
preferred over Re,
Fig., 4 Hydrogen versus deuterium as moderator
Strontium-90 and
Caesium-137
activity
120 %7 7
Caesium-13
110 4
100 % = Strontium-90
‘_ *
—9
90 5 -
80 %
0 0,1 0,2 0,%
Hydrogen mol ratio
b
(@A
Table 3 ffect on Replacing Be Converter upon the
Relative FP Transmutatiocn Rates
!
Be | Be !
! nmolten-salt
C : Be
flux | ffast driver
trap Be I'e /Mo
. . A . A
canse materials transm, (Cs=-137) transm., (Sr-90)
1 Be, Be 1.0 1.0
2 C, Be 0.72 0.68
3 Be, Fe/lMo 0.84 0.82
(Remark: transmutation rate in arbitrary units)
17
1
H.
072
> Thickness of Dberyllium moderator zone
Caeslum—-13%7 and
Stront tim=90
activity
1504
Caesium-137
110 =
Strontium-90 L
9 1 2 3 I 5 6 7
hickness, cm
18
5.3 Motivations for Molten Salt Fuel
In a fast plutonium reactor the average fission cross seetion is
estimated to be 2.5 barns. The Pu atom density is ,002 atoms
cm_lb—l. The total flux is of the same magnitude as in the flux
trap. The specific power for the Cs-137 burnup is then (using ¢
from section 2.2)
15
N(Pu)o_, ©/3,1+10 = 2.1 (K=1) kW Cm_5
f
The rise of the thermal flux in the fast fuel (Fig. 6) leads
Lo an order of magnitude increase in the fission density at
the Inner fuel boundary. For a solid fuel core the resulting
peak power posltion would present extreme demands upon coolant
veloclty and flow distribution.
To minimize thilis, the addition of boron in and about the fast
fuel was considered. Reactor calculations were made for 5 to
100 micron-thick intermediate walls as well as for distributed
boron inside the fast region. As seen from Figure 7 the FP
transmutation rate is always reduced; although the spectrum in
the fuel region 1s harder, the loss of thermal neutrons to the
fiux trap has a greater effect.
From the above one sees that the fuel melting point and the
thermohydraulic reguirements effect a loss in FP transmutation
rate for solid fuels. One solution might be to use liquid fuel,
cooled out-of-core, Turbulent flow in the core will alleriate
the thermal peakling problem. Also, the melting point limitation
15 removed,
}‘_l
09
107 o
Fission
density
Cission
D i
cnorsec
19
O Fission density in the fuel zone
seryllium
/
/
2z
F¥ssiq
Gensxty
o te
/.
Wall
130
104,06
106,6
108
111,14
20
Fig., ¢ Impact of natural boron
0.5 10t \
Actavity \\\ o
. Thermal
of Thermal \t\ f1ux
Cs-137 |[flux in N
lozb/secfue}gzgfie \\‘\
dnem™<es
Cs=137
8 activity
0,7 =10
0,0_107
0,5 —10°
A
=)
Boron thickness, mm
21
The disadvantages arise from the increased fuel inventory in
the burner, e.g. a factor BI=2 + 0.5 higher. To keep the
system SI low will then require an specific fissile inven-
tory SI in the burner core considerably lower to accomodate
the factor (ratio of inventory in both subsystem) B_-higher
I
lnventcry. Other problems include reduced doubling time,
increased capital costs, and decreased Be the effective
rf?
fraction of delayed neutrons in the core.
Proceedling with this concept, the molten salt burner fuel is
assumed to be a mixture of PuCl3 and NaCl., Critically will de-
pend upon the Pu concentration and the thickness of the fuel
region. Figure 8 shows the effect of PuCl3 molar fraction upon
specifiic power, core exit temperature, and Cs-137 transmuta-
tion rate.
5.4 Outer-Reflector Zone Consideration
The large size of the thermal flux trap results in the fuel re-
zion approaching slab geometry with attendant high neutron
leakage., To better econcomize on neutrons several possibilities
arise
(1) use of an optimum reflector such as Fe, Ni, Cu or Be to
minimize the critical mass
(2) use of the outer neutron leakage for breeding
(3) use of the outer neutron leakage for additional FP trans-
mutation.
To begin with a solid Fe reflector was assumed (Fig. 9).
800 =
Fig., &8
PuCl,
5
22
Impact of plutonium concentration
in the fuel
Ligquid phase
Eutecti
1alCl
100 =
—
50 =
Activity
of Cs=-137
(relativT
unitse)
60 7]
ho =
0
Specific
power
(relativ)
SpeciZlc power
Caesium activity
Plutonium molar ratio
20
im
Activity
of Cs-137
(%)
1
U0
L
—
80
%
Fig, 9 Impact of reflector
Reference
Reactor
Uranium
reflector
120
Volume
of fuel
(/é)
100
o)
=
Beryllium 5 cm
as additional
reflector
24
', Thermonydraulic Considerations
We now examine the thermohydraulic implications in more detail.
For a typlcal burner reactor consider (see Fig, 10).
total power, P
power density in core, Pc = 11 kW cm_>
Pu density, pPu = ,002 atomns cm_lb_l 0.9 g em””
fuel density, pf = 2.35 g em”
volumetric specific heat, Cp = 1.95 Joules cm—BK
temperature rise across core, At = 250 + 500 K
length of channel 1in the core, Lch =
80 + 120 cm
The cruclal parameter here 1s core power density. The given value
is nigh but still near the present state-of-the-art (Table 4).
Table 4
Feinberg, research reactor
Melekeg CHM-2
FPETH
Lane (cnhlorides)
AFIR mean
max
Phicenix 250
Chilorotrans (here)
kW/cm5
in the core
Coclant only
in the core
25
Fig, 10 Cooling of the burner reactor
Total power of reactor 11 GW
Heat excnanger 2,75 GW 4 units
& s
S S S S S S volume of fuel
in tubes 0.825 m
5
24/' Z,
1 1] .
1N g :b
< 17
q % #
L/
% 1
4
Partial g ; ; Specific
power % power
5 %% ] |1 Kwem™?
o 5l 9 ; Total volume
rar % =5
e ; ; # 2.75 m
VO lur % 1 ¢
‘ %
0. ; [
% L/
% “ ;)E
S % L
S LA
TR /
1.08 m
26
Using the above one gets
power rating, .07 g Pu / MWth
(2.2 + l.l)'lO7 emos L
H
volumetric flow rate of fuel
residence time in core 0.045 = 0.091 s
. . -1
velocity of the fuel in the core = 26,7 + 3.8 m s
The deduced fuel velocity is similar to that postulated by Lane
(1969) for the HFIR reactor: 21 m s_l. (The HFIR is also a high
flux irradiation facility).
The specific power in the coolant is about % times higher for
the burner than for the indicated breeder concept. Furthermore,
1t must be increased by BI to account for the increased fuel
inventory in the burner reactor cycle. The crucial problem will
be the efficiency of the external heat exchanger. In the follo-
wing we use some typical heat exchanger characteristics to
examine the possibilities.,
Specific power for heat exchanger ~1 kW/cm
(rather conservative data)
Total volume of heat exchangers for
11 GW(th) ~11 n°
Ratlo of fuel, volumetric 0,3
Fuel volume 1n heat exchanger 3,3 m5
Fuel 1n the pipes core-heat exchanger 1,0 m5
Total fuel out of core b,3 m>
Fuel in core 1,0 m3
l'otal fuel 1in whole system 5,5 m5
flean specific power of the fuel in
whole system E£%—%¥— = 2,07 KW/cm3
’ 3
Plutonium amount, in the fuel 0,8 gPu/cm
27
Plutonium inventory in whole system hoao kg
Power rating in whole system 0,385 kgPu/MWth
The postulated power rating for
whole system 1 kgPu/MWth
In this calculated case the power
rating in the breeder power reactors 1,15 kgPu/MWth
The above indicates tnat the achievement of a total specific
power rating of about 1 kgPu/MWth may be feasible.
28
5. Further Parameters of the Burner Reactors
Parametric studies were made as variations about a reference
system which assumed P = 11 GWatts, (X=2.9, K=4.2) and RFT = 78.5 cm,
The flux trap is surrounded by 5 cm EeQ converter, a critical fuel
thickness of 6.6 cm, and an outer wall, Figure 11 shows the calcu-
lated flux distributions for such a burner reactor, Note that the
t.otal flux in the fuel is similar to that ir the flux trap. The
calculated fluxes lead to the conclusion that o (total spectrum,
flux trap) = 1/2 +* o(E=0.0253).