# The use of representativity theory in the depletion calculations of SFR blankets

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Abstract : The analysis of the DOUBLON experiment has provided C/E's for several isotopic ratios in the first and second rows of the radial blanket after an irradiation in the PHENIX Sodium Fast Reactor. We have used this as a basis for the validation of the DARWIN-2.3 (Tsilanizara et al., 2000) package for the depletion calculation in the radial blankets of SFR's (Lebrat et al., 2015). Unfortunately, no measurements have been performed in the upper and lower axial blankets of the fissile assemblies. Of course we expect our calculations to be reliable in these zones as well, as the initial compositions, nuclear reactions and neutron spectra are very similar. The representativity theory appeared to be the appropriate tool to correlate the available experimental information in the radial blanket to our calculations in the axial zones. Indeed, the representativity factors that we calculate between the final $^{239}$Pu/$^{238}$U ratio in the radial and axial fertile zones are very close to 1. Hence, the measurements performed in the radial zone can help us ''correct" the calculation in the axial blanket and reduce its a-priori uncertainty due to nuclear data. The estimated uncertainty reduction can reach a factor 5, since the experimental uncertainty is low. The $^{240}$Pu/$^{238}$U ratio is studied with a similar method.
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Jean-Francois Lebrat, Jean Tommasi. The use of representativity theory in the depletion calculations of SFR blankets. Annals of Nuclear Energy, Elsevier Masson, 2017, 101, pp.429-433. ⟨10.1016/j.anucene.2016.11.043⟩. ⟨cea-02388797⟩

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