ISSN 1000-3665 CN 11-2202/P

    矿区地下水系统水质分类判别的多元统计分析

    Hydrochemical classification and identification of groundwater in mining region using multivariate statistical analysis

    • 摘要: 以某矿区地下水系统为例,对该矿区地下水水化学资料进行了多元统计分析方法耦合应用研究,主要包括利用因子分析对存在相关关系的离子变量进行空间降维处理,找出能够反映众多离子信息的基础变量(正交因子),以其作为系统聚类变量;运用系统聚类法获取能代表各地下水子系统水化学特征的典型水样;使用贝叶斯逐步线性判别分析建立地下水各子系统水化学判别模型(判别函数),并对随机检验样品进行判别归属和判别模型统计检验。结果表明:这是一种稳定性较好且切实有效的、适用于矿区地下水系统水化学分类及水源水化学判别的方法。

       

      Abstract: Taking the groundwater system in mining region as example,the applied research to classify and identify the groundwater occurred in different subsystems and stopes was actualized on the basis of hydrochemical data analysis with the techniques of multivariate statistics.Taking the concentration of the major ions dissolved in groundwater as variables,the factor analysis was performed to reduce the dimensions of variables and identify the underlying variables or the orthogonal factors which reflect the hydrochemical characteristics of groundwater and can be then used in cluster analysis.As the results of hierarchical cluster analyses,a set of statistically derived typical samples were obtained,which hydrochemically represent the groundwater in individual subsystems.Multigroup Bayes discriminant analysis stepwise method was conducted with the subsystems as groups and the major initial ions as variables,and then a set of linear discriminant functions was obtained.The functions were applied to predict the sources of some random water samples on the basis of the variables with unknown group membership and proved to have the ability of differentiation with statistical tests.The results show that it is an effective and practical way in classifying and identifying of groundwater or gushing water sources with high stability.

       

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