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RRFM 2009 Transactions - European Nuclear Society

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of the crack of pillowing). It showed a<br />

different distribution of pores over<br />

sizes as compared to #135 and #73<br />

(Fig. 1.b). The difference is in two<br />

maxima available there, which are an<br />

evident proof of the presence of two<br />

poly-dispersed systems of pores in the<br />

fuel particles of specimen #74-1. The<br />

first maximum corresponds to the<br />

pores quantity of 4.86·10 8 mm -3 and is<br />

related to a pore size of ~280 nm. The<br />

second maximum is related to size<br />

445 nm and equals to 4.19·10 8 mm -3 .<br />

However, a volumetric distribution of<br />

size group pores has one maximum on<br />

its curve and it is located close to the<br />

maximum of specimen # 73 (Fig. 2a).<br />

A pore size in specimen #74-1<br />

changes in a manner similar to that of<br />

#73 but it changes in a wider range,<br />

i.e. from 180 nm to 1400 nm. At the<br />

same time a mean size of pores in<br />

specimen #74-1 equals to 415 nm and<br />

is ~10 % less than that of #73. A<br />

specific pore volume in fuel particles of<br />

#74-1 is 0.12 mm 3 /mm 3 , which is<br />

~10 % more than that of #73. Besides,<br />

in fuel particles of specimen #74-1 the<br />

concentration is even higher, it is equal<br />

to 2.11·10 9 mm -3 , which is ~1.4 times<br />

more than that in specimen #73.<br />

Depending on the rate of attaining<br />

burn up the average speed of the<br />

porosity development in fuel particles<br />

of #74-1 equals to ΔV GFP /ΔBu=<br />

=12.0/96.4≈0.12 % per 1 % burn up,<br />

which is by ~10 % higher than that of<br />

specimens #135 and #73 and is likely<br />

to be within the uncertainty limits of<br />

both the determination of a pore<br />

volume and the calculation of a burn<br />

up value.<br />

Specimen #74-2 was cut out of a<br />

swelling area to study its three regions<br />

i.e. the first was at a distance of<br />

~0.5 mm from the crack, the second<br />

was next to the crack, at a distance of<br />

~300 µm, and the third was directly at<br />

the crack mouth, at a distance of<br />

~30 µm. The dependence of the pore<br />

quantity and volumetric distribution on<br />

the size is shown in Figures 1b and 2b.<br />

Fig. 1. Size distribution of gas pores in the areas of<br />

normal swelling (а) and near the pillowing (b<br />

Fig. 2 Volume distribution of gas pores in the areas<br />

of normal swelling (а) and near the pillowing (b)<br />

442 of 455

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