First burnup credit application including actinides and fission products for transport and storage cask by using French experiments

Figures & data

Figure 1. Presentation of the French “BUC” calculation route when ICFs are applied.

Figure 2. The DARWIN2 depletion package.

Figure 3. The CRISTAL V1 criticality package.

Figure 4. Sectional view of UO₂ assemblies in the TN® 24 E (1/8 symmetry).

Figure 5. Sectional view of UO₂ assemblies in the TN® 24 E cask and the burnup profile.

Table 1. French BUC PIE database.

	Burnup	Number of
French PWR	(GWd/tHM)	samples
BUGEY3 (UO2-3.1 wt. %)	20–40	7
FESSENHEIM (UO2-3.1 wt. %)	49–60	5
CRUAS2 (UO2-3.5 wt. %)	15–35	3
GRAVELINES (UO2-4.5 wt. %)	26–61	7

Figure 6. ²³⁵U calculation–experiment deviation from French PIE: linear trend in [C/E − 1] − 2σ versus burnup.

Table 2. Isotopic correction factors applied to the TN® 24 E cask area of application with the BUC nuclides concentrations calculated with DARWIN2.0 for criticality.

BUC isotope	ICF^PIE	BUC isotope	ICF^PIE
^235U	1.027	^149Sm	0.878
^236U	1.000	^143Nd	0.969
^238U	0.9996	^103Rh	0.877
^238Pu	0.994	^133Cs	0.957
^239Pu	1.065	^155Gd	0.895
^240Pu	0.975	^152Sm	0.830
^241Pu	1.086
^242Pu	0.968
^241Am	0.925

Figure 7. APOLLO2 calculation pattern for FP oscillation experiments in MINERVE.

Table 3. Calculation – experiment bias of each fission product reactivity worth in R1-UO₂ with CRISTAL V1.0.

Fission product	(C−E)/E (%)	σ (%)
^143Nd	−4.5	2.5
^145Nd	0.4	4.1
^149Sm	−5.7	2.1
^152Sm	−0.2	3.2
^95Mo	−3.6	3.4
^103Rh	13.3	4.0
^155Gd	−1.9	2.9
^153Eu	−1.6	4.4
^109Ag	−1.7	4.0
^99Tc	4.2	3.8
^133Cs	4.3	1.9

Table 4. Isotopic correction factors associated with each BUC fission product reactivity worth applied to the TN® 24 E cask.

BUC isotope i	Correction factor ICF^Σ,i
^149Sm	1
^143Nd	0.995
^103Rh	0.824
^133Cs	0.925
^155Gd	0.962
^152Sm	0.942

Table 5. k_eff-penalty terms for the TN® 24 E cask loaded with 21 used fuel assemblies at 12 GWd/t_HM.

Burnup	Δk^ActN	Δk^FPN	ΔkN	Δk^zB	ΔkN + Δk^zB
12 GWd/tHM	0.00600	0.00268	0.00868	0.00088	0.00956