Uncertainty analysis method and application of neutron multi-sphere spectrometer measurement based on Monte Carlo method

Dake ZHANG; Zhihui TANG; Yingjing WEI; Taosheng LI; Qinjian CAO; Bowen SUN

doi:10.11889/j.0253-3219.2024.hjs.47.120403

NUCLEAR TECHNIQUES, Volume. 47, Issue 12, 120403(2024)

Uncertainty analysis method and application of neutron multi-sphere spectrometer measurement based on Monte Carlo method

Dake ZHANG^1,2,3, Zhihui TANG^1,2,3、*, Yingjing WEI^1,2,3, Taosheng LI⁴, Qinjian CAO¹, and Bowen SUN^1,2,3

Author Affiliations

¹Institute of Health Physics, China Institute for Radiation Protection, Taiyuan 030006, China

²Shanxi Provincial Key Laboratory of Radiation Safety and Protection, Taiyuan 030006, China

³Key Laboratory of Radiation Protection Technology of China National Nuclear Corporation, Taiyuan 030006, China

⁴Key Laboratory of Neutron Transport Theory and Radiation Safety, Institute of Nuclear Energy Safety Technology, Chinese Academy of Sciences, Hefei 230031, China

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Figures & Tables(10)

Fig. 1. MC method assessment uncertainty flow chart

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Fig. 2. SP94 thermal neutron detector (a) Snapshot of physical detector, (b) Blueprint

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Fig. 3. Photo of irradiation measurement site

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Fig. 4. Distribution of fitting results

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Fig. 5. Spectrum unfolding results with error bars

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Table 1. Data related to the neutron source used to reference the radiation

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Table 1. Data related to the neutron source used to reference the radiation

源的类型 Type of source	活度 Activity / Bq	注量平均能量 Average energy fluence / MeV	半衰期 Half-life period / a
²⁴¹Am-Be	3.7×10¹¹	4.16	432
²⁴¹Am-Be	3.7×10⁹	4.16	432
²⁵²Cf	3.7×10⁹	2.13	2.65
²⁵²Cf	3.7×10⁷	2.13	2.65
²⁵²Cf+D₂O	3.7×10⁹	0.55	2.65

Table 2. Relative spread uncertainty of neutron sources for reference radiation

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Table 2. Relative spread uncertainty of neutron sources for reference radiation

源的类型 Type of source	注量平均能量 Average energy fluence / MeV	相对扩展不确定度 Reference expended uncertainty $U_{r e l}$ (k=2) / %
²⁴¹Am-Be	4.16	4.6
²⁴¹Am-Be	4.16	7.0
²⁵²Cf	2.13	5.0
²⁵²Cf	2.13	5.0
²⁵²Cf+D₂O	0.55	5.0

Table 3. Fitting results
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Table 3. Fitting results
拟合结果
Fitting result
正态
Normal
均值Mean value 98
方差Dispersion 3.78

Table 4. Fitting result parameters
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Table 4. Fitting result parameters
参数
Parameter
估计值
Estimated value
标准误差
Standard deviation
μ 9.80×10¹ 1.94×10^-2
σ 1.44×10^-18 1.89×10^-4

Table 5. Estimated covariances for parameter estimates
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Table 5. Estimated covariances for parameter estimates
关系
Relationship
协方差
Covariance
μ-μ 3.78×10^-4
μ-σ 1.44×10^-18
σ-σ 1.89×10^-4

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Dake ZHANG, Zhihui TANG, Yingjing WEI, Taosheng LI, Qinjian CAO, Bowen SUN. Uncertainty analysis method and application of neutron multi-sphere spectrometer measurement based on Monte Carlo method[J]. NUCLEAR TECHNIQUES, 2024, 47(12): 120403

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