Calculational Model and Condition

In this chapter, applicability of the self-indication method to identify and quantify nuclides in a BWR-MOX pellet is evaluated. The burnup of the MOX pellet is 0 GWd/t, 20 GWd/t, and 30 GWd/t. A plutonium vector in the fresh MOX pellet is employed as the OECD/NEA BWR MOX benchmark (Pu4) (235U, 0.2 w/o; total Pu, 6.71 w/o; 238Pu, 2.2 %; 239Pu, 46.2 %; 240Pu, 29.4 %; 241Pu, 8.8 %) [1]. The

burn-up calculations of the BWR-MOX pellet are carried out by using deterministic

neutronics code SARC 2006 [2] with JENDL-4.0 [3]. The numerical validations are performed by using the MVP2.0 [4] with the JENDL-4.0. The MVP2.0 is a

Fig. 4.1 Calculational geometry of 12-m measurement line in KUR-LINAC

Fig. 4.2 Neutron spectrum in a Ta target of KUR-LINAC

continuous-energy Monte Carlo code developed by the Japan Atomic Energy Agency.

The 12-m measurement line in the KUR-LINAC is simulated as a calculational geometry shown in Fig. 4.1. Figure 4.2 shows a neutron spectrum in a tantalum target that is a neutron source of the KUR-LINAC. The spectrum is calculated by MVP2.0. Using the spectrum as the surface source, the validation is carried out.

Numerical Results and Discussion

The numerical validation for application of the self-indication method is discussed in this section. In the experiment, the transmitted neutron spectrum from the sample is measured via resonance reactions in the indicator whereas the reaction rates in the indicator are shown by numerical calculation. If the energy boundaries are made to have a finer division, the numerical result of the resonance reaction will have the same peak with dips as the measured data.

Fig. 4.3 Pu-239 absorption yield in an indicator (sample, 0 GWd/t)

Figure 4.3 shows the 239Pu absorption rate yield by the present method (red) and the transmitted neutron spectrum by the conventional method (blue). The sample is the fresh (no burn-up) MOX pellet. Using the present method, one can easily obtain resonance absorption by 239Pu. On the other hand, the transmitted neutron spectrum has many dips caused by resonance reaction of the other nuclides. Thus, if the sample is a burn-up pellet, it is difficult to quantify and identify by using the conventional method.

A numerical result to identify 129I in the MOX pellet is described. The burn-up of the MOX pellet is 20 GWd/t. 129I has only four resonances in the energy region of 0.1–100 eV: the resonance peaks are 41, 73, 75, and 97 eV. The transmitted neutrons are easily obtained via 129I resonance absorption reactions in the indicator by the present method (Fig. 4.4).

Using the self-indication method, one cannot prepare a pure indicator to identify and quantify a target nuclide in a sample. Therefore, it is necessary to validate the application of the present method using an impure indicator. Figure 4.5 shows the numerical result of 239Pu fission yield in the indicator, which has impure plutonium. The sample is a fresh MOX pellet, and the plutonium vector in the indicator is 239Pu ¼ 98.57 w/o, 239Pu ¼ 1.38 w/o, and 240Pu ¼ 0.05 w/o. In Fig. 4.5, the red line

is a pure 239Pu indicator, and the blue line shows that an indicator employed impure

plutonium. Even in this case, as well as the result of using the pure 239Pu as the resonance absorption in indicator is observed, it is shown to quantify and identify 239Pu in the sample.

Fig. 4.4 I-129 absorption yield in an indicator (sample, 20 GWd/t)

Fig. 4.5 Pu-239 absorption yield in an impure indicator (sample, 0 GWd/t)

Next, the applicability of the present method for fuel debris in Fukushima Daiichi NPP is examined. The fuel debris in Fukushima Daiichi NPP contains highly concentrated B-10, which has a large neutron absorption cross section. Thus, numerical validation of the present method and the conventional neutron transmission method for the sample with B-10 were carried out. The burn-up of the

Fig. 4.6 Transmitted neutron spectrum from the sample (30 GWd/t) with B-10 (conventional method)

Fig. 4.7 Pu-239 absorption yield by self-indication method (sample, 30 GWd/t)

sample is 30 GWd/t. Using the transmission neutron method, it is difficult to obtain the dips caused by resonance reaction (Fig. 4.6) because neutron absorption by B-10 has a large contribution in the sample. On the other hand, one can obtain the neutron absorption rate yield in an indicator by the present method although the signal of the neutron is decreased (Fig. 4.7).


Numerical validation for application of the self-indication method has been carried out. As a result, the self-indication method is shown to have a better S/N than the neutron transmission method to quantify the amount of target nuclides.

The present method can be applied to identify and quantify a nuclide that has a small resonance, i.e., 129I, and it is shown that one can measure an intended signal with good S/N by using an impure indicator. In addition, if the sample contains a highly concentrated neutron absorber, one can identify and quantify the target nuclide by using the self-indication method. Thus, the self-indication method can be applied to analyze the fuel debris in Fukushima Daiichi NPP.

Acknowledgments This work was supported by JSPS KAKENHI Grant Number 24760714.

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