基于数理统计的沥青铀矿电子探针 U-Th-Pb化学年龄数据分析方法

A Mathematical-Statistical Method for EPMA U-Th-Pb Chemical Age Data Analysis of Pitchblende

  • 摘要: 沥青铀矿易发生Pb替代和(或)U丢失,导致电子探针(EPMA) U-Th-totalPb方法计算的化学年龄存在偏差。前人虽已尝试利用线性回归方法修正化学年龄,但缺乏系统的统计学处理框架尤其是数据的前处理与筛选过程,可靠性需要提升。因此,本文以粤北下庄矿田希望铀矿床为研究对象,针对数据前处理和异常点识别方面存在的不足,提出了一套基于数理统计的化学年龄处理流程。研究通过Spearman秩相关检验验证Pb替代理论,结合K-均值(K-means)聚类与高斯混合模型(GMM)识别样品的隐含分组结构。随后在剔除异常数据的基础上构建线性拟合模型,将化学年龄外推至替代元素含量为零的位置,基于此估算了沥青铀矿的结晶年龄。结果显示,SiO2 + FeO模型拟合效果最佳,得到102.39 ± 5.88 Ma和56.87 ± 3.61 Ma两组外推年龄,分别对应下庄矿田第二期第二阶段和第四期成矿事件,具有合理的地质意义。受U丢失影响显著的样品表现出化学年龄的系统性偏大,通过GMM分解提取出的子群体年龄反映了复杂的热液叠加作用。本文提出的“统计分析—模型优化—地质解读”流程提升了EPMA U-Th-totalPb化学定年的稳定性与可靠性,为花岗岩型铀矿床中沥青铀矿的定年提供了新的技术路径与解释框架。

     

    Abstract: Pitchblende is prone to Pb substitution and/or U loss, resulting in deviations in chemical ages based on the electron probe microanalysis (EPMA) U-Th-totalPb method. Although previous studies have attempted to correct chemical ages through linear regression, they generally lack a systematic statistical framework, particularly in data preprocessing and outlier identification, which limits the reliability of the results. In this study, the Xiwang uranium deposit in the Xiazhuang orefield, northern Guangdong, was selected as the research object, and a mathematical-statistics-based workflow for chemical age processing was developed to address these deficiencies. Spearman rank correlation tests were employed to verify the Pb-substitutions, while K-means clustering and Gaussian mixture modeling (GMM) were applied to identify latent subgroups within the dataset. After excluding anomalous data, a linear regression model was constructed to extrapolate the chemical ages to the point where Pb-substitutions were negligible, thus estimating the crystallization ages of pitchblende. The results indicate that the SiO2 + FeO model provides the best fit, yielding two extrapolated ages of 102.39 ± 5.88 Ma and 56.87 ± 3.61 Ma, corresponding respectively to the second-phase (second-stage) and fourth-phase mineralization events of the Xiazhuang orefield, both of which have reasonable geological significance. Samples significantly affected by U loss exhibit systematically overestimated chemical ages, while GMM decomposition of these data reveals subpopulation ages indicative of complex hydrothermal overprinting. The proposed workflow of “statistical analysis−model optimization−geological interpretation” effectively enhances the stability and reliability of EPMA U-Th-totalPb chemical dating and provides a new methodological and interpretive framework for age determination of pitchblende in granite-related uranium deposits.

     

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