FCGMM算法在环境样品γ能谱定量分析中的应用
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TL817.2

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铀资源探采与核遥感全国重点实验室(东华理工大学)自主部署项目(2024QZ-KF-04);国家自然科学基金(12105043,12275050);江西省自然科学基金(20224BAB211023);江西省高层次高技能领军人才培养工程项目(赣财社指[2023]37号)


Application of the FCGMM Algorithm in Quantitative Analysis of γ Spectrum from Environmental Samples
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    摘要:

    为进一步提高环境样品中低活度放射性核素定量分析的准确性,并降低分析方法对标准谱等预设模型的依赖,提出了一种基于模糊C均值高斯混合聚类算法(FCGMM)的γ能谱定量分析方法。采用FCGMM算法对HPGe γ能谱仪(GMX40P)测量的3组土壤样品中的226Ra、232Th、40K及5组水样品中的238U、235U、232Th进行分析,结果表明:FCGMM算法分析结果的相对误差为0.89%~7.20%,平均相对误差为4.28%;与高斯拟合法(相对误差1.73%~14.99%,平均相对误差8.59%)和一阶导数法(相对误差2.67%~16.29%,平均相对误差9.81%)两种通用方法相比,FCGMM算法的相对误差分别降低1.87%~144.15%和9.81%~173.61%,平均相对误差分别降低50.17%和56.37%;对于活度低于40 Bq的核素,FCGMM算法展现出更高的准确性。该方法能够在无需预设模型条件下,快速、准确地实现低活度放射性核素伽马能谱定量分析,为环境样品γ能谱定量分析提供新的参考。

    Abstract:

    To further enhance accuracy and reduce reliance on standard spectra and preset models, a novel γ spectrum quantitative method based on fuzzy C-means Gaussian mixture clustering (FCGMM) is proposed for low-activity environmental samples. The FCGMM algorithm was utilized to analyze the activities of 226Ra, 232Th and 40K in three soil reference samples and 238U, 235U and 232Th in five water reference samples, respectively, as measured by the HPGe γ spectrometer (GMX40P). To compare against the Gaussian fitting method (1.73%~14.99%, 8.59% on average) and the first derivative method (2.67%~16.29%, 9.81% on average) by calculating the relative errors, the FCGMM algorithm reduced relative errors by 1.87%~144.15% and 9.81%~173.61%, as well as average relative errors by 50.17% and 56.37%, respectively. For activities below 40 Bq, the FCGMM algorithm demonstrated significantly higher accuracy. The results indicate that the presented method can serve as a reference in low-activity γ spectrum analysis, providing rapid and accurate performance without the need of preset models.

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曾韬,赵剑锟,邱海燕,等. FCGMM算法在环境样品γ能谱定量分析中的应用[J]. 科学技术与工程, 2026, 26(13): 5513-5520.
Zeng Tao, Zhao Jiankun, Qiu Haiyan, et al. Application of the FCGMM Algorithm in Quantitative Analysis of γ Spectrum from Environmental Samples[J]. Science Technology and Engineering,2026,26(13):5513-5520.

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  • 收稿日期:2025-06-13
  • 最后修改日期:2026-04-08
  • 录用日期:2025-12-16
  • 在线发布日期: 2026-05-18
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