Use of Covariances in a Consistent Data Assimilation for Improvement of Basic Nuclear Parameters in Nuclear Reactor Applications: From Meters to Femtometers Page: 3 of 99
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Contents
1 Methodology Outline 5
1.1 Evaluation of Nuclear Physics Parameter Covariances............. 7
1.2 Evaluation of Sensitivity Coefficients for Integral Experiments ....... 10
1.3 Deterministic assimilation of integral experiments .............. 11
1.4 Direct Monte-Carlo assimilation of integral experiments ........... 12
2 Data Assimilation 13
2.1 Assimilation of 23Na ..... .... .. ................. 15
2.1.1 EMPIRE calculations . .... .. ................. 15
2.1.2 Results of assimilation .... ... . ................ 20
2.1.3 Conclusions ..... .... ... . ................. 21
2.1.4 Lesson learned ..... ... ... . ................ 23
2.2 Assimilation of 56Fe . ...... .... .. ................ 24
2.2.1 EMPIRE calculations . .... .. ................. 24
2.2.2 Sensitivities ...... .... .. ................. 29
2.2.3 Results of assimilation .... ... . ................ 29
2.2.4 Conclusions ..... .... ... . ................. 30
2.2.5 Lesson learned ..... ... ... . ................ 32
2.3 Assimilation of '05Pd ...... .... .. ................ 33
2.3.1 EMPIRE calculations . .... .. ................. 33
2.3.2 Sensitivities ...... .... .. ................. 36
2.3.3 Covariances ...... .... ... . ................ 36
2.3.4 Results of assimilation .... ... . ................ 39
2.3.5 Conclusions ...... .... ... . ................ 42
2.3.6 Lesson learned ..... ... ... . ................ 43
2.4 Assimilation of 235U . ...... .... .. ................ 44
2.4.1 First Round of Assimilation ... . ................. 44
2.4.2 Second Round of Assimilation ................... 45
2.4.2.1 EMPIRE calculations .................. 45
2.4.2.2 Sensitivities .... ... . ................. 50
2.4.2.3 Covariances .... ... . ................. 501
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Herman, M.; Herman, M.; Hoblit, S.; Nobre,G. P. A.; Palumbo, A.; Pigni, M. T. et al. Use of Covariances in a Consistent Data Assimilation for Improvement of Basic Nuclear Parameters in Nuclear Reactor Applications: From Meters to Femtometers, report, January 3, 2013; [Upton, New York]. (https://digital.library.unt.edu/ark:/67531/metadc837901/m1/3/: accessed April 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.