DECAY HEAT CALCULATION; An International Nuclear Code Comparison by dffhrtcv3

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									                                                               NEACRP-319 "L"

                                                               NEANDC-275 "-0"




  DECAY HEAT CALCULATION
   An International           Nuclear Code Comparison



                           B. DUCHEMIN
Laboratoire       de Metrologie    des Rayonnements           Ionisants
                     C.E.N.,    Saclay, France

                             C. NORDBORG
                            NEA Data Bank,
                      Gif-sur-Yvette,   France




  1.008
  1.006-
  1.004-
  1.002-
  l.OOO-
  0.998-
  0.996-
  0.994
              0   1   2   3   4   5   6     7 8    9 10 11 12 13
                   COOLING TIME           (lO**N   Seconds)
                                                                                           NEACXP-     319 “L”
                                                                                           NEANDC!-    275 “U”




                          DECAY              HEAT       CALCULATION
                 An International                Nuclear         Code         Comparison




                                              B. DUCHEMIN

     I.,abcwal.oire   de Metrologie     des Rayonnements          Ionisants      C.E.N.,     Saclay,   France



                                              C. NORDBORG

                              NEA     Data    Bank,   Gif-sur-Yvette,         France




0
e
    ‘1’1~ renult.s of an international   code comparison on decay heat are presented and dis-
    crossed. Participants     from more than ten laboratories   calculated, using the same input
    dabn, decay heal: for thirteen cooling times between 1 and 1013 sec. Two irradiation      cases
    were lm~psed:      fission pulse and 3x10’ seconds of irradiation     of 235U fuel. The resuhs
    are analysed and compared. This inter-comparison        shows that, if the same input data are
    given, most of t,he codes give very similar results for the decay heat and consequently     also
    for the fssion product contribution.
Contents
1   Introduction                                3

z   Contributions        Received               4

3   General        Comments                     7

4   Comments          on Benchmark   no.   1   10

5   Comments          on Benchmark   no.   2   11

0   Conclusion                                 12

7   List   of Figures                          13

8   List   of Tables                           14


                                                    *
    .This report.contnins    the preliminarp’results  df an international   effort to compa?e the results
    obtained by codes which calculate decay heat either for pulse fission or after irradiation.
    These decay heat calculations are very important          for reactor studies. The comparison was
     init.iat.ed during the specialist meeting on data for decay heat predictions held at Studsvik
     (Swetla~) in September 1987. The objective is to verify that the discrepancies appearing
     Mwcen       different calculations    are due to the data used (yields, capture cross-sections,
     nuclide m3m energies,           ) and not to the method used to solve the generalised Bateman
     equat.ions which describe the nuclide evdlution during irradiation           and cooling.

    The specification    of the exercise is given in the annex 1. The participants       were asked
    to calculate the decay heat, with uncertainties    :if possible, for.two cases, each for several
    cooling t,imes, using a given set of input data. The results should contain, for each cooling
    t.ime, information   on the total decay heat, the p and 7 parts separately and, a list of the
    nuclides which contribute more than 1 % to the total decay heat. The two cases agreed
    U,‘O” were:

    1. R 23511 fission pulse,

    2. a 3x IO’ seconds irradiation    of 235U with no burn-up.

    Tbr cooling times chosen ranged from 1 second to 1Ol3 seconds. The input data contained
    inl’orm;rtiw  on: yields, spectroscopic data, and capture cross-sections. Only the decay
    heat dw 1.1,fission products should be calculated. The decay ,heat due to actinide forma-
    t.ion was omitted from this comparison.

    This report is organised in the following way. S&on       2 ,&es a’stirvey of the co&b&ions
    received and are grouped in two classes: class A for analyti&l         solution of the Bateman
    equations, t,he class B for numerical solution of these same equatioix.       Section 3 gives some
    general comments and sections 4 and 5 contains comments on the results from benchmark
a   no. 1 and benchmark no. 2 respectively.       Section 6 contains a brief conclusion.




                                                      3
2       CONTRIBUTIONS                        RECEIVED
The contributions received can he divided int.o two classes: one for analytical s&&xx   of
the equations and one for numerical solutions.

Class     A:   Analytical        solutions


    Code name:              AFPA
    Participants:           RUZHANSKY P.A., RUBTSOV P.M.
    Address:                Moscow Engineering Physics Institute,
                            Kashirskoe Shosse31,
                            115409MOSCOW M-409, USSR



    Code name:              CINDER-10
    Participants:           BEARD C.A., ENGLAND T.
    Address:                Los Alamos National Laboratory,
                            Group T-2, Mail Stop B243,
                            LOS ALAMOS, NM 87545, USA



 Code name:                 CINDER
 Participant:               WANG DA0
 Address:                   Chinese Nuclear Data Center,
                            Institute of Atomic Energy,
                            P.O. Box 275(41),
                            Beijing, P.R. China
                                                                                             a
 Code name:                 DCHAIN
 Participants:              TASAKA K., IHARA H,
 Address:                   Japan Atomic Energy Research Institute,
                            Tokai-Mum, Naka-gun,
                            Iharaki-ken 319.11, Japan



 Code name:                 FISPG
 Participant:               TOBIAS A.
 Address:                   National Power Nuclear,
                            Berkeley Nuclear Laboratories,
                            Berkeley, Gloucestershire GL13 9PB, U.K.


                                                  4
 C!Odl? IlilnlF:                INVENT
 Parl.icipiwl~:                 H.UDSTAti G.
 Address:                       University of UppSala,     ”
                                The Studsvik Neutron Research Laboratory,
                                S-611 82 Nykijping, Sweden



 Code name:                     PEPIN
 Participants:                  NIMAL B., DIOP C.
 AddEW                          C.E.N. Saclay,
                                DEMT/SERMA/LEPP
                                F-91191 Gif-sur-Yvette CEDEX, France




Class      B:      Nun~erical       solutions


 C!odename:                     FISPIN
 Part.icipanbs:                 JAMES M.F.
 Address:                       AEE Winfrith,
                                Nuclear Data Group, Reactor Physics Division,
                                Dorchester, GB-Dorset DT2 8DH, U.K.



  Code name:                    KORIGEN
  Parl.icipant.:                WIESE H.W.
  Address:                      Kernforschungszentr~~~ll  Karlsruhe,
                                Instil.ut fiir Neutronenphysik,
                                Postfach 3640,
                                75 Karlsruhe, Rep. Fed. of Germany




  Cbde name:                    MECCYCO
  Participant:                  GILLET, G.
  Address:                      C!EA/CEN Cadarache,
                                DRP/SPRC,
                                F-13108 Saint Paul lez Durance Cedex, France




                                                      5
Code name:      ORIGEN-S
Participants:   BRADY      M.C.,   BOHNHOFF   W.I.,   HERMANN   0.W
Address:        Oak Ridge National Laboratory,
                P.O. Box 2008,
                Oak Ridge, TN 378314238     USA
    3         GENERAL                    COMMENTS
    Some of the comments                 below cqncerning   the input   data :were given by the participants:
           A. InconsisteIic~“het.ureen         Ld$&d&t      &d   cu&&ti~e     yields:

               This inconsistency  arose for some nuclides hut its influence            on the results is’less than
               2 per-mil at 1 sec. cooling time and 1 per-mil after.




    .;,:
               The fact   that branching ratio may not sum to 100 is gnly due to round-up                    differ-
               WXS.    It has no r&l itl?portanck pn the r&&t+


           C!. Cnpt.ure branching          ratio
0
               The capture cross-section branching ratio when the daughter has ground                      and iso-
               merit state was not given. This has however no influence on theresults  (5 1                per-mil)
               as shown by the..PEPIN cr%tribution,     where &ults   had been obtained for                 the two
               hypot.hesis: 100 percent on ground-state,    and 50 percent on ground state                   and 50
               percent on isomeric state.


           1). Uncertainties.

          Only I.he INVENT      and KORIGEN      results were given with uncert&inti&         In the case
          of KORIGEN      it. WXRstated, that the uncertainties    resulted from energy release only.
          The INVENT      code used all uncertainties    in the input data in the calculations.      This
          code gives for example uncertainties       for the total decay heat for.benchmark          no 1
          t.hat varies from about 5 percent at very short and very long cooling times down
0         1.0 about, 1.3 percent at medium cooling times. The corresponding             values given for
          benchmark no 2,by INVENT tie:, about 1 percent’ at short cooling times up &about
0          10 percent at very long cooling times.
          It should be. noted ,that these quoted uncertainties       are relevant to t.his exercise only
    ..:a~ and not to a real c&se of dectiy.heat calculation,    as the input data did not correspond
          to a realistic case and did not included a complete set of uncertainties.


           E. Computing         times.

               ‘I%<?object.ive of thisexercise was not to compare computing  times otl different con1-
               lm1.w~. Nevertheless; for-information,   Table 1 summaiises the values-given by each
               cml.ril~utor.


     Followillg 1.11~NEANDCINEACRP       Task Force meeting on Decay Heat Predictions     held
     al 1.11~:NlM Data Bank on 21st and 22nd September 1989, when preliminary     results were
     presented, some contributions were revised with subsequent corrections to the codes:
a. Double    precision


   In the case of INVENT             and KORIGEN      some calculational   parameters  were modi-
   fied to double precision        in order to better reproduce the results at long cooling t.imes.


h. Wrongly    lab&d       data.


   Two set of results, one with the benchmark data and one with the local data library,
   were given for the AFPA code. The hen&mark           data results did not agree very
   well with the results of other contributions, but it was noted t,hat the result,s were
   wrongly labeled, and it was really the results for the local data library that were
   deviant. This deviation was explained by different treatment    of conversion electrons
   and X-ray data in t,he two set of results and a re-calculat.ion    showed much better
   agreement between the results.


c. Capture   effects in benchmark         no. 2.

   The first CINDER results did not take into account            the capture   effects, but. t:his was
   corrected in a second set of results.


d. Wrong input     data


   The first results from hen&mark    no 2 from the code KORIGEN                   were discrepant.
   and the reasons were two: misunderstanding       of the interpretation         of the one group
   capture cross section and a typing error resulting in an irradiation           of 1 x 10’ i:lst.ead
   of 3 x 10’ seconds.

e. Burn-up   effect.
                                                                                                         (I,
  In the specification of benchmark no. 2 it was stated that no burn-up sho~dd I:ake
  place, which is unrealistic, but avoids further complications    in a inter-conli)aricol,              0
  benchmark like this. One code, INVENT,       which had a built-in hum-up calcnlat.ion
  routine had to be modified to keep the amount of Uranium constant during the long
  irradiation.


f. Delayed neutron       effects


  Following the discussions of the first benchmark results,           the FISPG code was revised
  to avoid any manual manipulation      of the fission yields       (to account for delayed net,-
  tron effects). This involved extension of the linearised           decay chains I:O account. for
  the delayed neutron effects as well as sane minor data               manipulation amendment.s
  t,o the FISPG code itself.




                                                   8
      g. Subdivision   of then i+radkti’on   tiine.   .’ ’   ’


         In benchmark       no 2 a subdivision     of the irradiation  time was not. prescribed in t,he
         specifications.    Theoretically   in case of constant coefficients the solution does not de-
         pend on this subdivision.        Numerically,   however, a certain dependence is introduced
         by treating the chain equations with respect to the half-lives of the nuclides in the
         chains, as in.t,he code KORIGEN.            High total decay heat values were no&d before
         for KORIGEN         at lo7 and 10’ seconds cooling time but this dependence           was since
         st,rongly reduced. The values are still slightly higher that the average but well wit,hin
         t:hc quoted uncertainties.       The same tendency was also found in the results of the
         OIUGEN-S        code.


    L~ollowing these ikrations,  the results from the different codes agree very well and only
    minor differknces are found. No systematic differences between the results of the Analytical
    and Numerical    codes could be found.




e
e




                                                       9
4       COMMENTS               ON BENCHMARK                      NO. 1
The objective of the pulse fission calculation was to test the ability of the codes to use the
fission yields and to treat correctly the mass decay-chain calculation.

As shown in Figures 1 and 2, all codes give results for the total decay heat which agree,
on the average, to better than l/2 percent. This is well within t,he uncertainties given by
the INVENT     and KORIGEN     result. A few points can be noted when studying figure 2:

CINDER-10
Relatively   high values were reported   for cooling   times lo5 and 10’ seconds.

INVENT
The     results are about 0.2 percent above the average. This is most probabIy due to t;he
fact   that the amount of Uranium was fitted to give 1.25 * 1O’5 fissions and the program
only    outputs the nun~ber of fissions with 4 significant digits, which means an uncert.ainty
of 5   * 10” fissions or * 0.04 %.

KORIGEN
The results between lo4 and lOlo seconds cooling           time are all above the average,   1x11.
within 0.5 % of the average.

ORIGEN-S
The somewhat scattered results for this code is due to the fact that the results were given
with only two significant decimals. This effect could for example be seen in Table T where
the fission product contribution  after lo9 seconds cooling time add up to over 100 percent.
Relatively low values were reported for cooling times lo5 and above 10” seconds.




                                               10
    5     COMMENTS                 ON     BENCHMARK                     NO.   2
    The objective of long irradiation (3x107’se~ond~)     calculation    was to test the ability   of the
    codes to treat the capture (or absorption)   problem.

    As shown in Figures 5 and 6, all codes give results for the total decay heat which agree,
    on the average, to better than l/2 percent, except maybe for the CINDER contribution
    by Wang Dao. A few points c& be noted when studying figure 6:

    CINDER-10
    Relat.ively   high values were reported   for cooling   times 10“ and lo5 seconds.

    CINDER
    The result:s are on the average,about     1 to 3 percent   lower than dther results.


0   INVENT
    The resu1t.s are about 0.2 percent abpve the ayerage, except for cooling times above IO”’
    seconds. This is most probably due to the fact that the amount of Uranium        was fitted
    to give 1.25 * lOI fissions and the program only outputs the number of fissions with 4
    significant digits, which means an uncertainty of 5 * 10” fissions or f. 0.04 %.



    Two relatively high values are noted for lo7 and 10’ seconds cooling time (see item g.
    above). At cooling times 10” seconds and above the results are about 0.2 percent higher
    t.11an average.

    OFUGEN-S

e   The somewhat~ scattered results for this code is due to the fact that the resnlts were given
    wit.h only t,wo significant decimals. This effect could for example be seen in Table 13 where

0   t.he fission product contribution   after 10’ seconds cooling time add up to over 100 percent.
    Two relatively high values were reported at lo7 and 10’ seconds cooling time (see item
    g. above). Somewhat low values were reported for cooling times above 1O’O seconds as in
    benchmark no 1.
6     CONCLUSION
In the present   exercise t,he following      codes were compared:

                                 Analytical                Numerical

                                 AFPA                     FISPIN
                                 CINDER-IO                KORIGEN
                                 CINDER                   MECCYCO
                                 DCHAIN                   ORIGEN-S
                                 FISPG
                                 INVENT
                                 PEPIN

The overall results of the calculation of decay heat and contributing fission prot1uct.s are in
very good agreement for the codes. The results given by the CINDER         code (contribution
by Wang Dao) are on the average 1 to 3 percent lower that other results.

The objective      of this exercise was to ensure that t.he discrepant. results for decay heat.
calculation obtained in different laboratories   were due to different input data and not I&
different: solutions of the equations describing the fission product evolution.  This objective
has been reached.

This inter-comparison     has permit.ted the participants to gain confidence in their codes and
minor modifications     to a few of the codes have been noted as a result of this exercise.




                                                   12
    List   of Figures
            Large scale plot showing the rebults.at diffe&nt &ling t&s for the total
            decay heat of lmichmirk tie’ 1 (235Ufission pulse irradiation)                    15
            Fine scale plot showing the results at different cooling times for the total
            decay heat of henchn%rk no 1 (‘s% fission pul~e’irradiatjon) ~.                   16
            Fine scale plot showing the r&As at different cooling times for the p decay
            heat of benchmark no’ 1 (sssU fission pulse irradiation)                          17
            Fine scale plot showing the restilts at different cooling times for the y decay
            heat of benchmark nb i (235Ufission’pulse~irradiation)                            18
            Large scale plot showing the results at different cooling times for the total
            decay heat df he&hmark’xio 2 (I&g irradiation) :,             ~. ‘.               19
            Fine scale plot showing the results at differ&t coqling~&mes for the total
            decay heat of henchniark no’2 (Long irradiation)                                  20
            Fine scale plot showing the results at differ+nt cooling times for t.he 0 decay
            heat of h&chmark’no 2 (Iqg i+ra+tion)           ~.       1 ~. .’                  21
            Fine scale plot showing thcresults at different cooling times for the 7 decay
*           he&t of benchmark no 2 (Long irradiation)              .    ~1              .     22




                                                            “,




                                                13
List    of Tables
   1     Computers     and CPU time (seconds) used in the exercise                             23
   2    p Decay Heat results (in MeV/sec) for a ‘W fission pulse given at cooling
        times from 1 second to lOI seconds                                                     24
   3    7 Decay Heat results (in MeV/sec) for a 235U fission pulse given at cooling
        times from 1 second to 1Ol3 seconds                                                    25
   4    Total Decay Heat results (in MeV/sec)           for a 235U fission pulse given at.
        cooling times from 1 second to lOI seconds                                             26
   5    Fission product contribution      (in %) to the total decay heat for a ZRSll fission
        pulse after 10 second cooling time                                                     27
   6    Fission product contribution     (in %) to the total decay heat for a 235U fission
        pulse after 10’ seconds cooling time                                                   28
   7    Fission product contribution     (in %) to the total decay heat for a 235U l&ion
        pulse after 10” seconds cooling time                                                   28
   8    /? Decay Heat results (in MeV/sec)         for a 3~10~ seconds irradiation     given
        at. cooling t,imes from 1 second to 1Ol3 seconds                                       21)
   9    y Decay Heat results (in MeV/sec) for a 3~10~ seconds irradiat.ion given at.
        cooling times from 1 second to 1Ol3 seconds                                            30
   10   Total Decay Heat results (in MeV/sec) for a 3x lo7 seconds irradiation        given
        at cooling times from 1 second to 1Ol3 seconds                                         31
   11   Fission product     contribution    (in %) to the total decay heat for a 3x10’
        seconds irradiation    after 1 second cooling time                                     32
   12   Fission product     contribution    (in %) to the total decay heat for a 3x10’
        seconds irradiation    after IO4 seconds cooling time                                  33
  13    Fission product     contribution    (in %) to the total decay heat for a 3x10’
        seconds irradiation    after 10’ seconds cooling time                                  34




                                                                                                     0
                                                                                                     l




                                              14
$
d
ld   ld   ld   ld   10’   ld      lo”      10’      lo”   lo’   ld”   ld’   16’   ld”
                               Cooling Time (see)
INTERCOMPARISON OF CODES FOR DECAY HEAT CALC.
TOTAL DECAY HEAT FOR A FISSION PULSE



      0        CIr.“u--l”        (ClmLAIVUI
      A        DCHAIN (TA%KA)
      +        FISPG (TOBIAS)
      x        FlSPIN (JAMES)
               - _-
      o        IN’




z
d            I,,,,,,                I,/                     ,,,,           */,     /
           I 4 I I,,,,,,, ,/,,,,, /,,, , ,,,,,(,,I,,,,,,,//,/ , ,,,,,,,, ,,,, ,,,,,,, I /,I,
10”       ld                ld           ld   10‘   ld      10”      lo’      10”   10’   Id”   lo”   ld’   ld’
                                                         Cooling Time (set)
INTERCOMPARISON OF CODES FOR DECAY HEAT CALC




                                     ld      lo”      lo’      10”   ld   ld”   ld’   ld’   ld’
                                          Cooling Time (set)
  INTERCOMPARISON      FOR
                 OFCODES DECAYHEATCALC
        HEAT A FISSION
~ y DECAY   FOR        PULSE
0           I       I       I       I              I         I       I       I       I


          AVERAGEOFALL
        0 AFPA (RUBTSOV)
        0 cmm-10    (ENGLAND)
        A DCHAIN (TASAKA)
        +
        X
        0
        V
        e
        @
        E




                I       I       I       I              I         I       I       1       I

                                                   ld        10"     10'     IO"     10'
                                            CoolingTime(sec)
10”   ld   ld   ld   10'   10'     to"     lo'    IO"   10"   ld"   Id'   ld'   ld"
                                 CooIingTime(sec)
            OFCODESFOR
INTERCOMPARISON           HEAT
                      DECAY   CALC.
        HEATFORA
TOTALDECAY      LONGIRRADIATION




10”   ld   ld    ld       10'   lo'     10”     lo’          lo”   ld   lo'"   lo"   ld'   ld'
                                      CoolingTime(sec)
                  l   *                                  l
                     DECAY
INTERCOMPARISONOFCODESFORHEATCALC




                          ld      10"      10'      lo"   lo"   Id"   Id'   ld'   Id"
                               Cooling Time (set)
   INTERCOMPARISON               HEAT
                   OFCODESFORDECAY CALC
1. 7 DECAYHEAT  FORALONGIRRADIATION
2
                   Gl$
         ----- AVERA OFALL(EXCEFTCINDER)




        Bs PEPIN (NIMAL)




          lo'     10'        ld    10'          ld       10"   lo'   10"   10'   lo'"
                                         Coolingnme(sec)

                        aa                               0
    Code

 AFI’A
C!lNDER-IO
 CINDER
           Table 1: Computers


               Laboratory-

               Moscow
               Los Alanios
               Pekin
                                  and CPU time (seconds)


                                Computer

                                ES-1060
                                CRAY-XMP
                                           model




                                CYBER-1701825
                                                   Benchmark

                                                         100
                                                        17.98
                                                                 no 1   I
                                                           used in the exercise


                                                                        3enchmark

                                                                              131
                                                                             17.91
                                                                             59.75
                                                                                      no 2




~DCMAIN        Tokai-mura       FACO&l M-780            0.69                  0.85
.FISPG         Berkeley         @M-4381/23                                    4.22




                                                                        1
                                                          3.5
 FISPIN        Winfrith         SUN 3/60                N.C!.                N.C.
 1N VENT       Studsvik         VAX-8200                  95                   95
 KOH.IGEN      Karlsruhe        SIEMENS-7890             1.75                 2~33~
 ME(~!C!YC!O   Cadarache        IBM-9377                 -90                  -90
 ORIGEN-S      Oak Ridge        IBM-370/3033            20.34~               24.43
 PIWIN         Saclay           IBM-9371                N.C.                 N.C.




                                              23
Table 2: p Decay Heat remits (in MeV/sec)                          for a 235U fission pulse given at cooling                     t.inlen
from 1 second to 10’3 seconds



                Computer   code             100                     10’                 102                   103
            AFPA                        3.358    E-02         1.073    E-02         1.958    E-03         1.253    E-04
            CINDER-IO                   3.366    E-02         1.073    E-02         1.958    E-03         1.250    E-04
            DCHAIN                      3.359    E-02         1.073    E-02         1.958    E-03         1.249    E-04
            FISPG                       3.359    E-02         1.073    E-02         1.958    E-03         1.249    E-04
            FISPIN                      3.359    E-02         1.073    E-02         1.958    E-03         1.249    E-04
            INVENT                      3.359    E-02         1.074    E-02         1.962    E-03         1.252    E-04
            KORIGEN                     3.359    E-02         1.073    E-02         1.959    E-03         1.251    E-04
            MECCYCO                     3.359    E-02         1.072    E-02         1.957    E-03         1.249    E-04
            ORIGEN-S                     3.36   E-02           1.07   E-02           1.96   E-03           1.25   E-04




                                           I
            PEPIN                       3.359    E-02         l.Oi3    E-02         1.958    E-03         1.249    E-04                    0

   Colllput.er     code           104                   105                   106                   107                   108
   AFPA                    8.224 E-06            3.282    E-07         3.017    E-08         7.776 E-11            1.034     E-11
   CINDER-10               8.200 E-06            3.349    E-07         3.072    E-08         7.778 E-11           1.034      E-11
   DCHAIN                  8.198 E-06            3.282    E-07         3.017    E-08         7.778 E-11           1.034      E-11
   FISPG                   8.197 E-06            3.281    E-07         3.017   E-08          7.779 E-11           1.033     13-11
   FISPIN                  8.198 E-06            3.282    E-07         3.017   E-08          7.759 E-11           1.034     E-III




                                           I
   INVENT                  8.216 E-06            3.289    E-07         3.023   E-08         7.ii2 E-11            I.036     I~<-11
   KORIGEN                 8.227 E-06            3.290    E-07         3.032   E-08         7.i94 E-l 1           :I ,036   E- 1 I
   MECCYCO                 8.197 E-06            3.282    E-07         3.016   E-08         7.77 El1              1.034     E-11
   ORIGEN-S                 8.3 E-06              3.24   E-07          3.05    E-08           7.8 E-11              I.03    E-1 I




                                           I
   PEPIN                   8.198 E-06            3.282    E-07         3.017   E-08         7.778 E-11            1.034     15. I I
                                                                                                                                           0
                                                                                            __-~--.
                                                                                                                                           0
   chlllputer      code           10”               10'0                  10"                   10’2                   LO'"
   AFPA                    5.351 E-12           7.393 E-15            3.555     E-17        3.525 E-17            3.234      E-J7
   CINDER-10               5.351 E-12           7.393 E-15            3.555     E-17        3.525 E-17            3.234      I<-17
   DCHAIN                  5.351 E-12           7.393 E-15            3.555     E-17        3.525 E-17            3.234      E-l i
   FISPG                   5.347 E-12           7.390 E-15            3.552     E-17        3.522 E-17            3.231      E-17
   FISPIN                  5.351 E-12           7.393 E-15            3.555     E-17        3.525 E-17            3.234      E-17




                                           I
   INVENT                  5.361 E-12           7.416 E-15            3.548     E-17        3.532 E-17            3.241      E-17
   KORIGEN                 5.362 E-12           7.440 E-15            3.537     E-17        3.5Oi E-17            3.218      E-17
   MECCYCO                 5.351 E-12           7.393 E-15            3.554     E-17        3.524 E-li            3.234      E-lIi
   ORIGEN-S                 5.3 E-12             7.3 E-15             3.54     E-17         3.51 E-li              3.22     E-li
   PEPIN                   5.351 E-12           7.393 E-15            3.555     E-17        3.525 E-Ii            3.234      I<-li




                                                              24
    TdAe :I: -y Decay &at. results (in MeV/sec)                for a 235U fission pulse given at cooling                         times
    (ion1 I serolld to 10’3 seconds



                chllputer    code             100                   101                   102                   103
                AFPA                   1.732   E-02          8.312   E-03          1.924   E-03           1.344   E-04
                CINDER-10              1.735   E-02          8.304    E-03         1.926    E-03          1.342    E-04
                DCHAIN                 1.734   E-02          8.303    E-03         1.925   E-03           1.342    E-04
                FISPG                  1.734   E-02          8.303    E-03         1.925   E-03           1.342   E-04
                FISPIN                 1.734    E-02         8.303    E-03         1.925   E-03           1.342    E-04
                INVENT                 1.735   E-02          8.320    E-03         1.929   E-03           1.344   E-04
                KORIGEN                1.734    E-02         8.306    E-03         1.926    E-03          1.342    E-04
                MECXYCO                1.734    E-02         8.301    E-03         1.925    E-03          1.342   E-04
                 ORIGEN-S               1.73   E-02           8.31   E-03           1.92   E-03            1.34   E-04




                                              I
0               PEPIN                  1.734    E-02         8.303    E-03         1.925    E-03          1.342    E-04




        Computer
        AFPA
                      code    104
                              __~
                              1.767    E-05
                                                        105
                                                    6.755   E-07
                                                                     I        106
                                                                          8.650   E-08
                                                                                                    10’
                                                                                                2.317   E-10
                                                                                                                          108
                                                                                                                      2.369   E-11
        <:INI)ER-10           1.767    E-05         6.758   E-07          8.651    E-08         2.318   E-10          2.369   E-11
        DCHAIN                1.767    E-05         6.756   E-07          8.650    E-08         2.318   E-10          2.369   E-11
        FISPG                 1.767    E-05         6.753    E-07         8.650    E-08         2.318    E-10         2.367   E-11
        FISPIN                1.767    E-05         6.756    E-07         8.650    E-08         2.318   E-10          2.369   E-11




                                              !
        1NVENT                1.770    E-05         6.769    E-07         8.664    E-08         2.325    E-10         2.373   E-11
        KOR.IGEN              1.767    E-05         6.792    E-07         8.697    E-08         2.323    E-10         2.374   E-11
        MECCYCO               1.767    E-05         6.755    E-07         8.647    E-08         2.317    E-10         2.368    E-11
        ORIGEN-S               1.76   E-05           6.76   E-07           8.65   E-08           2.32   E-10           2.37   E-11




                                              I
0       PEPIN                 1.767    E-05         6.756    E-07    1    8.650    E-08         2.318    E-10         2.369    E-11


0       ~-.-
        colllyut~er
        AFPA
                      code
                              1.255
                                    10”
                                       E-11
                                                       10’0
                                                    1.685    E-14
                                                                     I       10’1
                                                                          8.921 E-27
                                                                                                   1012
                                                                                                6.416 E-27
                                                                                                                          10’3
                                                                                                                      2.376 E-28
        C!INUER.-10           1.225    E-11         1.685   E-14          8.921 E-27            6.416 E-27            2.376 E-28
        DCHAIN                1.225    E-11         1.685    E-14         8.921 E-27            6.416 E-27            2.3i6 E-28
        FISP6                 1.224    E-11         1.684    E-14
        FISPIN                1.225    E-11         1.685    E-14         8.921 E-27            6.416 E-27            2.376 E-28




                                              I
        INVENT                1.228    E-11         1.690    E-14
        KORIGEM               1.228    E-11         1.696    E-14         8.830    E-27         5.350 E-27            2.351 E-28
        MISCCYCO              1.225    E-11         1.685    E-14         8.921    E-27
        ORIGEN-S               1.23   E-11           1.69   E-14          8.85    E-27           6.36 E-27             2.36 E-28
        -- J
        I’FPlN                1.226    E-11         1.685    E-14    I    8.921    E-27         6.416 E-27            2.376 E-28




                                                               25
Table 4: Total Decay Heat results (in MeV/sec)                        for a “‘U         fission pulse given al. cooling
t.imes from 1 second to lOl3 seconds



          Computer     code             100                    IO’                   102                  103         -
          AFPA                      5.090    E-02         1.904    E-02         3.882    E-03         2.597    E-04
           CINDER-10                5.100    E-02         1.903    E-02         3.884    E-03         2.592    E-04
          DCHAIN                    5.093    E-02         1.903    E-02         3.883    E-03         2.591    E-04
          FISPG                     5.093    E-02         1.903    E-02         3.883    E-03         2.591    E-04
          FISPIN                    5.093    E-02         1.903    E-02         3.883    E-03         2.591    E-04
          INVENT                    5.094    E-02         1.906    E-02         3.890    E-03         2.596    E-04
          KORIGEN                   5.093    E-02         1.904    E-02         3.885    E-03         2.593    E-04
          MECCYCO                   5.093    E-02         1.903    E-02         3.882    E-03         2.591    E-04
          ORIGEN-S                  5.09    E-02           1.90   E-02           3.88   E-03           2.59   E-04




                                                                                     I
          PEPIN                     5.093    E-02         1.903    E-02         3.883   E-03          2.591    E-04
                                                                                                                                     0

   Computer     code          104                   105                   106                   10’                   IO”
   AFPA                2.589    E-05         1.004    E-06           1.167    E-07       3.095    E-10         3.403       I$-1’1
    CINDER-10          2.587    E-05         1.011    E-06           1.172    E-07       3.095    E-10         3.403       12,.I I
   DCHAIN              2.587    E-05         1.004    E-06           1.167    E-07       3.095    E-10         3.403       E.11~
   FISPG               2.586    E-05         1.003    E-06           1.167    E-07       3.096    E-IO         3.400       13-11
   FISPIN              2.587    E-05         1.004    E-06           1.167    E-07       3.096    E-10         3.403       E-l 1




                                                                                     I
   INVENT              2.591    E-05         1.006    E-06           1.169    E-07       3.105    E-IO         3.409       15-I 1
   KORIGEN             2.590    E-05         1.008    E-06           1.173    E-07       3.101    E-10         3.414       E-II
   MECCYCO             2.586    E-05         1.004    E-06           1.166    E-07       3.095    E-IO         3.403       IS-1 I
   ORIGEN-S             2.59   E-05           1.00   E-06             1.17   E-07         3.10   E-10           3.40      E-l 1~




                                                                                     I
   PEPIN               2.587    E-05         1.004    E-06           1.167    E-Oi       3.095    E-IO         3.403       E-l 1~
                                                                                                                                     0
   Computer     code          109               10’0                    IO”                 10’2                  10’3
                                                                                                                                     0
   AFPA                1.761    E-11        2.424     E-14        3.555       E-17      3.525     E-17         3.234       E-17
   CINDER-10           1.761    E-11        2.424     E-14        3.555       E-17      3.525     E-17         3.234       IS-17
   DCHAIN              1.7Fl    E-11        2.424     E-14        3.555       E-17      3.525     E-17         3.234      E-Ii
   FISPF               1.759    E-11        2.423     E-14        3.552       E-17      3.522     E-li         3.231       E-Ii
   FISPIN              1.761    E-11        2.424     E-14        3.555       E-17      3.525     E-17         3.234       E-Ii




                                                                                     I
   INVENT              1.764    E-11        2.432     E-14        3.562       E-17      3.532     E-17         3.241       E-Ii
   KORIGEN             1.766    E-11        2.432     E-14        3.556       E-17      3.526    E-17          3.235       E-17
   MECCYCO             1.761    E-11        2.424     E-14        3.554       E-17      3.524    E-17          3.234       13-17
   OR.IGEN-S            1.76   E-11          2.42    E-14          3.54      E-17        3.51    E-Ii           3.22      E-l.7
   PEPIN               1.761    E-11        2.424     E-14        3.555       E-17      3.525    E-17          3.234       I<-17




                                                          26
                                                    II
                                                  I.2 I I
    Table 5: Fission uroduct    contribution            (in %1 to the total       decay heat for a 235U fission
    pulse after 10 second cooling time



          Chquter     code     ‘Yh        ‘%I)          ,=Sb    .-Sb       -Sb       ‘35Te     ‘3GTe
                                      -                         -                   -         -
         XFPA                  1.84       1.93          1.03    1.72       3.77      15.24     10.67
         CINDER-10             1.85       1.93          1.03    1.72       3.77      15.24     10.57
0        DC!HAIN               1.84       1.93          1.03    1.72       3.77      15.24     10.57
         FISPG                 1.85       1.93          1.03    1.72       3.77      15.24     10.57
         FISPIN                1.85       1.93          1.03    1.72       3.77      15.25     10.57




                                                  I I 11
         INVENT                1.84       1.93          1.03    1.72       3.77      15.24     10.57
         KOR.IC:EN             1.84       1.93          1.03    1.72       3.77      15.24     10.56
         MEC!C:YCO             1.84       1.93          1.03    1.72       3.77      15.24     10.57
         ORIGEN-S              1.85       1.94          1.03    1.72       3.77      15.26     10.58




                                                       II
         PEPIN                 1.84       1.93          1.03    1.72       3.77      15.24     10.57




        Clomputer   code                         mj-      Tq     Tq        ‘37Xe      ‘=Xe      ‘4OXe   L40~s
                                                                 L!zc=zz                        -       ziIzzz=
        A FPA                                    8.76      8.99   1.96      1.27      10.86     14.67   6.82
        CINDER-10                                a.77      9.00   1.96      1.28      10.86     14.68   6.83
0       DCHAIN
        FISP6
                                                 8.77
                                                 a.77
                                                           9.00
                                                           9.00
                                                                  1.96
                                                                  1.96
                                                                            1.27
                                                                            1.27
                                                                                      10.86
                                                                                      10.86
                                                                                                14.68
                                                                                                14.68
                                                                                                        6.83
                                                                                                        6.83
0       FISPIN                                   8.77      ~9.00 1.96       1.28      10.86     14.68   6.83




                                                                                   II
        INVENT                                   a.77      8.99   1.96      1.28      10.86     14.69   6.83
        KOILIGEN                                 8.76      8.99   1.96      1.27      10.87     14.68   6.84
        MECC!YC!O                                8.76      9.00   1.96      1.28      10.86     14.69   6.83
        ORIGEN-S                                 8.79      9.00   1.97      1.28      10.89     14.68   6.84
        PEPIN                                    a.77      9.00   1.96      1.27      10.86     14.68   6.83




                                                           27
Table 6: Fission product   contribution           (in %) to the total              decay heat for a 235U fission
pulse after lo5 seconds cooling time




  Computer    code 11131mTe 1, ‘=Te        1311      -iy          xy               *35*
                                                                                                           5
                                          Ecz=zzz    -            -            -
 AFPA              11 2.23    1 2.72      1.18        23.20       25.47           18.69                     4.10
  CINDER-IO           2.21      2.70      1.19        23.05       25.31           18.56                     4.08
 DCHAIN               2.23      2.72      1.19        23.20       25.47           18.69                     4.10
 FISPG                2.23      2.i2      1.19        23.20       25.47           18.68                     4.10
 FISPIN               2.23      2.72      1.19        23.20       25.47           18.69                     4.10
 INVENT               2.23      2.72      1.19        23.20       25.46           18.F9                     4.10
                                                                                                            4.09
 KOR.IGEN
 MECCYCO
                      2.22
                      2.23
                                2.75
                                2.72
                                          1.19
                                          1.19
                                                      23.49
                                                      23.20
                                                                  25.36
                                                                  25.47
                                                                                  18.61
                                                                                  18.F9                     4.1~0   0
 ORIGEN-S             2.23      2.72      1.20        23.30       25.60           18.80                     4.12
 PEPIN                2.23      2.72      1.19       23.20        25.4i           18.69                     4.10




Table 7: Fission product  contribution         (in %) to the total                 decay heat. for a 235U fission
pulse afkr 10” seconds cooling time

                                                                                                                    0
                                                                       137711ga
                              Computer
                              AFPA
                                             code         13’CS
                                                          22.91
                                                                       -
                                                                           77.09
                                                                                                                    0
                              CINDER-10                   22.92            77.08
                              DCHAIN                      22.91            77.09
                              FISPG                       22.91            77.09
                              FISPIN                      22.92            77.08
                              INVENT                      22.91            77.09
                              KORIGEN                     22.92            77.08
                              MECCYCO                     22.91            77.09
                              ORIGEN-S                    22.90            77.27
                              PEPIN                       22.91            77.09




                                                     28
                                                                     irradiation given at
    -' Table 8: fl Decay Heat results (in M&V/sex) for a 3~10~ seconds
                                 to
       coolingtimesfrom 1 second 1013     seconds


              Computer   code       IO0     I 1.491Et15
                                                  10          102
                                                          l.O04E+14
                                                                            103
                                                                        5.625Et14
              AFPA              1.675Et15
              CINDER-IO         1.680Et15       1.495Et15 1.009Et15     5.656Et14
              UNDER             1.666Et15       1.482Et15 9.971Et14     5.561Et14
              DCXIAIN           1.676Et15       1.491Et15 1.004Et15     5.612Et14
              FISPG             1.675Et15       1.491Et15 1.004Et15     5.612Et14
              FISPIN            1.675Et15       1.491Et15 1.004Et15     5.611Et14
              INVENT            1.679Et15       1.494E+15 1.006Et15     5.627Et14
              KORIGEN           1.676Et15       1.491Et15 1.005Et15     5.617Et14
              MECCYCO           1.675Et15       1.491Et15 1.004Et15     5.610Et14




                                     I
              ORIGEN-S           1.67Ef15       1.49E+15 1.00Et15        5.6 Et14
0             PEPIN             1.676Et15   I   1.491Et15 1.004Et15     5.612Et14



        Computercode         104          105              106         10'         lo8
        AFPA             2.274Et14    1.281Et14        4.707Et13   8.483Etll   5.010Etll
        CINDER-10        2.319Et14    1.321Et14        4.728Et13   8.487Etll   5.011Etll
        (!INDER          2.242Et14    1.263Et14        4.700Et13   8.511Etll   4.993Et11
        DCXAIN           2.274Et14    1.282EC14        4.709Et13   8.485Et11   5.010Etll
        FISPG            2.275Et14    1.282Et14        4.711Et13   8.484Etll   5.009Etll




                                     I
        FISPIN           2.274Et14    1.282Et14        4.710Et13   8.484Etll   5.010Etll
        ItiVtiN'I        2.284Et14    1.288E-t14       4.722Et13   8.518Etll   5.025Et11
        KORIGEN          2.279Et14    1.285Et14        4.710Et13   8.543E+ll   5.032Etll
        MECXYCO          2.273Et14    1.281Et14        4.709Et13   8.485Etll   5.010Etll




                                     I
        OR.lGEN-S         2.28Et14    1.29Et14          4.7 Et13    8.5 Et11    5.0 Et11
0       PEPIN            2.274Et14    1.282Et14        4.709Et13   8.486Etll   5.011Etll
0
        Computercode         log          1010            10"                   10'3
        AFPA             1.985Et11    2.732Et08        2.796Et05   2.772Et05 2.544Et05
        CXNDEIL-10       1.985Et11    2.732E-k08       2.797Et05   2.773Et05 2.545Et05
        CJINDER,         1.961Etll    2.702Et08        2.701Et05   2.678Et05 2.458Et05
        DCXAIN           1.985Etll    2.732Et08        2.795Et05   2.771Et05 2.543Et05
        FISP6            1.985Et11    2.733Et08        2.796Et05   2.772Et05 2.543Et05




                                     I
        FISPIN           1.985Etll    2.732EtOB        2.796Et05   2.772Et05 2.543Et05
        INVENT           1.988Et11    2.740EtOB        2.793Et05   2.769Et05 2.540Et05
        KORiGEN          1.985Et11    2.731E+08        2.801Et05   2.777E+05 2.548Et05
        MECXYCO          1.985Et11    2.731E~t08       2.796Et05   2.573E+05 2.544E+05
        ORIGEN-S          1.98Et11    '2.73 Et08       2.78Et05    2.76E+05 2.53 Et05
        PEPIN            1.985Et11    2.732EtOB        2.795E+05   2.772Et05 2.543Et05


                                                  29
Table 9: y Decay      Heat results ( in MeV/sec)                   for a 3x10’           seconds irradiation           given      al:
cooling times from    1 second to lOI seconds



        chllputer     code              100                      IO’                   102                   103
        AFPA                        2.146    Et15      2.024       Et15          1.597    Et15          1.168 E-t-15
         CINDER:10                  2.147    Et15      2.024       Et15          1.597    Et15          1.16.5 E-t15
         CINDER                     2.133    Et15      2.011       Et15          1.585    Et15          1.154 ES-15
        DCHAIN                      2.147    E+15      2.024       Et15          1.597    Et15          1.165 E+15
        FISPS                       2.147    Et15      2.024       Et15          1.598    E+l5          1.165 Et15
        FISPIN                      2.146    Et15      2.023       Et15          1.597    Et15          1.165 Et,15
        INVENT                      2.153    Et15      2.030       Et15          1.602    Et15          1.169 Et15
        KORIGEN                     2.148    E+15      2.026       Et15          1.599    Et15          l.lFi Et15
        MECCYCO                     2.146    Et15      2.024       Et15          1.596    Et15          1.165 E+l5
        ORIGEN-S                    2.15    Et15        2.02      Et15            1.60   Et15            1.17 F~t15
        PEPIN                       2.147    Et15      2.024       Et15          1.597    Et15          1.165 Et15




 Computer    code             104                    105                  IO”                     IO’                  10s
AFPA                  5.956    Et14          3.549    E+l4         1.399    Et14          4.253     Et12       1.991    Et12
CINDER-IO             5.957    Et14          3.551    Et14         1.400    Et14          4.255     Et12       1.992    Et12
C!INDER               5.881    Et14          3.507    Et14         1.393    Et14          4.305     Et12       2.002    E-1,.I2
DCHAIN                5.957    Et14          3.552    Et14         1.400    Et14          4.254     E-1-12     1.992    E+~J2
FISPG                 5.961    Et14          3.555    Et14         1.402    Et14          4.253     Et12       1.991    ES12
FISPIN                5.956    Et14          3.551    Et14         1.400    Et14          4.253     Et12       1.991    Et12
INVENT                5.993    Et14          3.576    Et14         1.404    Et14          4.278     Et12       2.001    Ei-12
KORIGEN               5.976    Et14          3.564    Et14         1.400    Et14          4.310     Et12       2.013    Et12
MECCYCO               5.955    E+l4          3.551    Et14         1.400    Et 14         4.254     E-112      1.991    EPIC12
ORIGEN-S               5.99   Et14            3.57   Et14           1.40   Et14           4.29     E+l2        2.01    IQ12
PEPIN                 5.957   Et14           3.552    Et14         1.400   Et14           4.255     Et12       1.992    E-i 12




  Computer     cod’            IO”                   10’0                  10”                   10’2              1.0’3
   AFPA                4.546     Et11         6.250     E+08           3.323    E-04      2.406     E-04      s.910    E-OG-
   CINDER-IO           4.546     Et11         6.250     Et08           3.345    E-04      2.406     E-04       8.909   E-06
   CINDER              4.454     Et11         6.131     Et08           3.345    E-04      2.406     E-04      8.914    E-06
  DCHAIN               4.546     Et11         6.250     Et08           3.346    E-04      2.406     E-04      8.909    E-06
  FISPF                4.546     Et11         6.252     Et08
  FISPIN               4.546     E+ll         6.250     Et08           3.345 E-04         2.406 E-04          8.909 E-06
  INVENT               4.555     Et11         6.270     Et08
  KORIGEN              4.546     Et11         6.250     Et08           3.351   E-04       2.410 E-04          8.923 E-06
  MEC!C!YCO            4.546     Et11         6.250     Et-08          3.345    E-04
  ORIGEN-S              4.55    Et11           6.25    Et08             3.32   E-04       2.38 E-04            8.83 E-06
  PEPIN                4.546     Et11         6.250     Et08           3.346   E-04       2.406 E-04          8.910
                                                                                                              _~__ E-06


                                                            30
‘IX&z 10: Total Decay Heat results (in MeV/sec)        for a 3~10~ seconds irradiation           given at
cooling times from 1 second to 1Ol3 seconds



         Computer     code          100            10’              lo2                103
         AFPA                  3.821 Et15     3.514 Et15       2.601   Et15       1.730 Et15
         CINDER-10             3.827 Et15     3.519 Et15       2.606   Et15       1.730 Et15
         CINDER                3.800 Et15     3.493 E+15       2.582   Et15       1.710 Et15
         DCHAIN                3.823 E+15     3.515 Et15       2.601   Et15       1.726 Et15
         FISPG                 3.822 Et15     3.515 Et15       2.602   Et15       1.726 Et15
         FISPIN                3.821 E+15     3.514 E+15       2.601   Et15       1.726 Et15
         INVENT                3.832 Et15     3.524 Et15       2.609   Et15       1.732 Et15
         KORIGEN               3.824 Et15     3.517 Et15       2.604   Et15       1.729 Et15
        ,MECCYCO               3.821 Et15     3.514 Et15       2.600   Et15       1.726 Et15
         ORZGEN-S              3.820 Et15     3.510 Et15       2.600   Et15       1.730 Et15
        -PEPIN                 3.822 Et15     3.515 Et15       2.601   Et15       1.726 Et15




  Computer     code          104            105             106                10’            108
  AFPA                                                 1.870 E+14         5.101 Et12     2.492 Et12
  C!INDER:lO                                           1.873 E+14         5.104 Et12     2.493 Et12
  CINDER.                                              1.863 Et14         5.156 Et12     2.501 Et12
  DC!HAIN                                              1.871 Et14         5.103 Et12     2.493 Et12
  FISPG                                                1.873 Et14         5.102 Et12     2.492 Et12
  FISPIN                                               1.871 Et14         5.102 Et12     2.492 Et12
  INVENT                                               1.877 Et14         5.130 Et12     2.503 Et12
  KORIGEN                                              1.872 E+14         5.165 Et12     2.517 Et12
  MECCYCO                                              1.870 Et14         5.103 Et12     2.493 Et12
  OIUGEN-S                                             1.870 Et14         5.140 Et12     2.510 Et12
  1’ WIN                                               1.871 Et14         5.104 Et12     2.493 E+12




  Computer     code          109                           10’1               1012             10’3
  >.FPA               6.531   Et11    8.981   E+08     2.796   Et05       2.772   Et05   2.544    Et05
   CINDER-10          6.531   Et11    8.982   Et08     2.797   Et05       2.773   Et05   2.545    Et05
   CINDER.            6.415   Et11    8.833   Et08     2.701   Et05       2.678   Et05   2.458    Et05
   DCIIAIN            6.531   Et11    8.981   Et08     2.795   Ef05       2.771   Et05   2.543    Et05
   FISPG              6.530   Et11    8.984   Et08     2.796   Et05       2.772   Et05   2.543    Et05
   FISPIN             6.531   Et11    8.981   Et08     2.796   Et05       2.772   Et05   2.543    Et05
   INVENT             6.543   Et11    9.011   Et08     2.793   Et05       2.769   Et05   2.540    Et05
   KORIGEN            6.532   Et11    8.982   Et08     2.801   Ef05       2.777   Et05   2.548    Et05
   MECCYCO            6.531   Et11    8.981   Et08     2.796   E-t05      2.773   Et05   2.544    Et05
   ORIGEN-S           6.530   Et11    8.980   Et08     2.780   Et05       2.760   Et05   2.530    Et05
   PEPIN
  --..~.__            6.531   Et11    8.981   E-CO8    2.795   E-CO5      2.771   E+05   2.543    Et05


                                                  31
Table 11: Fission product contribution                (in %) to the total             decay heat for a 3x10’                seconds
irradiation after 1 second cooling time


                                                                  --                                                     --
     Computer     code            ‘=Sb      Wb
                                            zzzzzzc
                                                      l=Sb        -=Te         .=mTe
                                                                               -
                                                                                               ‘34Te         ‘3STe   I   ‘3GTe   ?I
    AFPA                          1.55       2.89     2.39        2.00           1.80           2.24          3.63       2.65
    CINDER-10                     1.55       2.88     2.39        1.99           1.79           2.24          3.63       2.65
    CINDER                        1.56       2.90     2.41        1.98           1.81           2.24          3.62       2.ti7
    DCHAIN                        1.56       2.89     2.39        2.00           1.80           2.24          3.63       2.65
    FISPG                         1.56       2.88     2.39        2.00           1.80           2.24          3.63       2.65
    FISPIN                        1.55       2.89     2.39        2.00           1.80           2.24          3.63       2.65
    INVENT                        1.55       2.89     2.39        2.00           1.79           2.24          3.63       2.65
    KORIGEN                       1.55       2.88     2.39        2.00           1.79           2.24          3.63       2.65
    MECCYCO                       1.55       2.89     2.39        2.00           1.80           2.24          3.63       2.65




                                                     7
    OR.IGEN-S                     1.55       2.88     2.39        1.99           1.80           2.24          3.64       2.64
    PEPIN                         1.56       2.89     2.39        2.00           1.80           2.24          3.63   1   2.65         0
                                                                  -
 Computer      code       1321
                         Yzz=ZZ
                                     133I     1341     1361       .=I    IT    GmI      ,371          1381      ‘3’X‘Z      ‘“8Xe
 AFPA                    3.89        2.22     7.98    3.88        i.55       1 .53      2.49          1.37       3.87        3.92
 CINDER-10               3.89        2.21     7.91    3.87        1.54       1,.53      2.49          1.37       3.8i        3.92
 CINDER                  3.91        2.13     8.03    3.86        i.57       1,.54      2.50          1.38       3.86        3.90
 DCHAIN                  3.89        2.22     7.98    3.88        I.55       1,.53      2.49          1.37       3.87        3.92
 FISPG                   3.89        2.21     7.98    3.87        ‘.55       1,.53      2.49          1.37       3.87        3.92




                                                     !
 FISPIN                  3.89        2.22     7.98    3.88        8.55       1..53      2.49          1.37       3.87        3.92
 INVENT                  3.89        2.21     7.91    3.87        ‘.54       1.,53      2.49          1.37       3.8i        3.92
 KORIGEN                 3.89        2.21     7.98    3.87        ‘.55       1.,53      2.49          1.37       3.8i        3.92
 MECCYCO                 3.89        2.22     7.98    3.88        ‘.55       1.,53      2.49          1.37       3.87        3.92
 ORIGEN-S                3.90        2.21     7.98    3.87        ‘.55       1.,53      2.49          1.3i       3.87        3..93
 PEPIN                   3.89        2.22     7.98    3.88        ‘.55   r   1. ,53
                                                                                -       2.49          1.37       3.87        3.92     @
                                                                                                                                      0
    Computer      code           ‘3”Xe      ‘4OXe     ‘%S         L?9Cs        ‘WS         ‘39Ba             l4OBa       ,4OLa
                                            -
    AFPA                          4.52        2.83    8.17        4.20         7.17            2.01          1.01        5.86
    CINDER-10                     4.52        2.83    8.16        4.20         7.16            2.00          1.01        5.85
    CINDER                        4.52        2.85    8.12        4.21         7.21            2.01          1.01        5.81~
    DCHAIN                        4.52        2.83    8.17        4.20         7.17            2.01          1.01        5.85
    FISPG                         4.52        2.83    8.17        4.20         7.17            2.01          1.01        5.85
    FISPIN                        4.52        2.83    8.17        4.20         7.17            2.01          1.01        5.86
    INVENT                        4.52        2.83    8.16        4.20         7.17            2.01          1.01        5.94
    KORlGEN                       4.52        2.83    8.16        4.20         7.17            2.00          1.01        5.92
    MECCYCO                       4.52        2.83    8.17        4.20         7.17            2.01          1.01        5.86
    ORIGEN-S                      4.53        2.83    8.17        4.19         7.17            2.01          1.01        5.99
    PEPIN                         4.52        2.83    8.16        4.20         7.17            2.01          1.01        5.85




                                                             32
    Table 12: Fission product contribution   (in %) t,o the total                decay heat for in 3~10~ seconds
    irradiation after lo4 seconds cooling time



               Ckmputer      code      ,32Te   133rnTe        1311      Ty           1331      1341     Tay
                                                                        -         =zz=czz               -
              ~FPA                     2.10      1.05      2.18          17.79    9.62    10.08          13.46
              UNDER-10                 2.09      1.04      2.17          17.70    9.57    10.02          13.38

l             UNDER.
              ~DC:HAIN
                                       2.13
                                       2.10
                                                 1.06
                                                 1.05
                                                           2.20
                                                           2.18
                                                                         18.03
                                                                         17.80
                                                                                  9.27
                                                                                  9.62
                                                                                          10.21
                                                                                          10.08
                                                                                                         13.50
                                                                                                         13.46
              FISPG                    2.10      1.05      2.17          17.78    9.61    10.07          13.45
              FISPIN                   2.10      1.05      2.18          17.79    9.62    10.08          13.46
              INVENT                   2.09      1.04      2.16          17.73    9.58    10.04          13.40
              KORIGEN                  2.09      1.04      2.li          17.74    9.59    10.05          13.41
              MECCYCO                  2.10      1.05      2.17          17.79    9.62    10.08          13.46




                                                                                     71
              ORIGEN-S                 2.09      1.04      2.14          17.65    9.56    10.02          13.42
              PEPIN                    2.10      1.05      2.18          17.80    9.F2    10.08          13.46



                11Computer
                11AFPA
                                code     ‘33Xe
                                         zzYzzz=
                                          1.83
                                                r    =Xe
                                                     zz?=zzz
                                                     1.81
                                                                 ‘38CS
                                                                 1.84
                                                                            ‘39Ba
                                                                            -
                                                                              2.61
                                                                                            .4OBa
                                                                                            4.65
                                                                                                      ‘40La
                                                                                                      -
                                                                                                      27.17
                  UNDER-10                1.82       1.80        1.83         2.60          4.62      27.02

a                 CINDER
                  DC:HAIN
                                          1.85
                                          1.83
                                                     1.72
                                                     1.81
                                                                 1.85
                                                                 1.84
                                                                              2.64
                                                                              2.61
                                                                                            4.71
                                                                                            4.F5
                                                                                                      27.16
                                                                                                      27.16

e                 FISPG                   1.82       1.83        1.84         2.61          4.65      27.15




                                                                                     I
                  FISPIN                  1.83       1.81        1.84         2.61          4.F5      27.18
                  INVENT                  1.82       1.81        1.84         2.60          4.63      27.43
                  KORIGEN                 1.82       1.81        1.84         2.61          4.63      27.39
                  ME’XYCO                 1.83       1.81        1.84         2.61          4.65      27.17
                  ORIGEN-S
                  PEPIN
                                          1.75
                                          1.83  I    1.80
                                                     1.81
                                                                 1.84
                                                                 1.84
                                                                              2.60
                                                                              2.61
                                                                                            4.63
                                                                                            4.F5
                                                                                                      27.57
                                                                                                      27.16




                                                         33
Table 13: Fission product contribution   (in %) to the t.otal decay heat for a 3x 10’ seconds
irradiation after 10’ seconds cooling time                                                      0



                       1 Computer   code    %A
                                            49.36
                                            49.38
                                            50.44
                                            49.37
                                            49.36
                                            49.36
                                            49.50
                                            49.85
                                            49.36
                                            49.80
                                            49.38                                               0
                                                                                                e




                                             34
                                              ANNEX1

                                                                            NEANDC-246 'U'
                                                                            NEACRP-303 'L'




                            INTERNATIONAL COMPARISONSTUDY

                     OF CODESUSED IN DECAY HEAT CALCULATIONS


                            Bernard Duchemin, CEA Saclay
                            Claes Nordborg, NEA Data Bank

                                      25th November 1988




1.      INTRODUCTION

Following     a discussion at the NEACRP/NEANDC          Specialists'     Meeting on Data
for Decay Heat Predictions,         held at Studsvik,        Sweden, 7th-10th      September
19871,' it was decided to,perform an inter-comparison              of codes used in decay
heat calculations.        It tias shown that the existing          codes could not repro-
duce the experimental        data .at short cooling       times.      The main reason for
this    discrepancy,   was thought      to be due to lack of good data for short
lived fission    products.     It was nevertheless     felt,    that a comparison of the
summation codes, both analytical             and numerical,     for    the calculation     of
decay heat would be very useful in order to verify              the computational      aspect
of the problem.       The following       ttio benchmark specifications        were agreed
upon.


 2.     SPECIFICATION

 Benchmark no 1:

'23~stem~:        U-235 fission'      pulse

Input     Data:   Decay Data:                  The heavy mass peak A=131-140. The data
                                               have been extracted       from the Evaluated
                                               Nuclear    Structure Data File    (ENSDF) and
                                               translated     into the ENDF-5 format at the
                                               NEA Data Bank, using a new version of the
                                               code RADLST. Delayed neutron data are
                                               also included.     (File no 1 on tape)

                  Fission   Yields:            The file contains data for U-235 and in
                                               the ENDF-5 format.         Independent   yields
                                               with    uncertainties   are given    at thermal
                                               energy.     The corresponding        cumulative
                                               yields,    without    uncertainties    are also
                                               included.    (File no 2 on tape)


                                              35
 Benchmark           no 2:

 System:                    Long        irradiation   ( 3.0 * IO7 seconds)    of fuel  elements                                        com-
                            posed         of 100% U-235.   It is assumed that no burn-up    will                                       take
                            place.

 Input       Data:          Decay       Data:                        Same as for         benchmark        no 1.

                            Fission          Yields:                 Same as for        benchmark         no 1.

                            Neutron          flux:                   Maxwellian        2(600°   K) spectrum              of     5.0*1013
                                                                     neutrons/cm        *second

                           Fission           rate:                   1.25     * 1015    fissions/second

                           Capture           data:                   The average       one-group   capture  cross sec-
                                                                     tions    has been given     in file   number 3 on
                                                                     the tape.
                                                                     the following
                                                                                   They have been calculated
                                                                                        formula  :
                                                                                                                  using
                                                                                                                                              0
                                                                     < 0       > = -E-            7% 2g3
                                                                                                      ---          +     sc*1
                                                                            cap    1.128                  T                      cap

                                                                    where T = 600’ K, SC = 0.3 (Epithermal                            to
                                                                    thermal       flux       ratio),         and      I         is the
                                                                    capture     resonance          integral.            cap
                                                                    The     data are given              in free       format,       one
                                                                    isotope       per line.          Each line        contains      the
                                                                    following          information:             isotope        proton
                                                                    number      (Z),       isotope          mass (A),         and the
                                                                    one-group       capture       cross      section.




3.       WHAT TO CALCULATE
                                                                                                                                              0

The following              quantities            should        be calculated           for    both     benchmark          1 and 2:

A.       Decay    heat       for     beta,       gamma,        and     beta    + gamma in        MeV/second,             for    cooling

         times:       1,     10,     102,       103,.........1013                seconds.       (Every        decade).

B.       List       of fission        products     and    their   contribution         (in per-cent)      to the
         decay        heat at each          of the above        mentioned      cooling     times.    Only those
         isotopes         contributing         more    than 1.0       % to     the decay       heat should     be
         specified.

All calculated    values    should  preferable be given with uncertainties.
The  answers   should    contain   a reference to what computer  code was used,                                                        and
on what computer     it was run. The CPU time used could also      be of interest.



                                                                      36
    4.   PARTICIPATION AND RESULTS

    Those interested    in participating     and receiving   the   input   data on   tape,
    should contact:

         Claes Nordborg                          Telephone:           l-69086094
         NEA Data Bank                           Telex:               NEADATA 690920F
         Bat. 445                                Telefax:             1-69413965
         91191 GIF-SW&YVETTE CEDEX               Computer network:    NORDBORG   at
,        FRANCE                                                       FRNEAB51
                                                                      (EARN/BITNET)

    The results   must be returned    by 5 May 1989 to the above mentioned      address.




                                           31
                                                    OF       NO
                                              RESULTS BENCHMARK 1

NAME            : ................................................................
INSTITUTE : ...............................................................
CODENAMEANDTYPE(ANAL. OR NUMER.): .....................................
CODEREFERENCE ..........................................................
            :
COMPUTER CPU-TIMEUSED: ..............................................
      AND
                      OF                SHOULD GIVEN SEPARATELY.
NOTE!! THE CONCENTRATION FISSION PRODUCTS    BE                                                               '
                                                        BEATRESULTS
                                                    DECAY

 COOLING                 BETA               dBETA               GAMMA                                d(B+G)
                                                                                     dGAMMA BETA+GAMMA
 seconds                 MeV/sec              %                 MeV/sec                %    MeV/sec    %



   10 1

   10 2


   10 3

   10 4

   10 5

   10 6


  10 ’

  10 *

  10 9

  lOI

  1011

  1012

  1013

                                                               38
                                                   OF       NO
                                             RESULTS BENCHMARK 2

NAME            : ................................................................
INSTITUTE : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
CODENAMEANDTYPE(ANAL. OR NUMER.) : . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

CODEREFERENCE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
            :
COMPUTER CPU-TIMEUSED: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
      AND
                      OF                SHOULD GIVEN SEPARATELY.
NOTE!! THE CONCENTRATION FISSION PRODUCTS    BE
                                                       BEATRESULTS
                                                   DECAY
  COOLING                BETA               dBETA             GAMMA                             d(B+G)
                                                                                dGAMMA BETA+GAMMA
  seconds                MeV/sec              %               MeV/sec             %    MeV/sec    %
    10 O

    10 1

    10 2

    10 3

    10 4




    10 g

    lOlO

    1011

    1o12

    lo13
                                                             39

								
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