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    IDW矿石品位估值结果的不确定性评价

    李章林 吴冲龙 张夏林 翁正平 王平

    李章林, 吴冲龙, 张夏林, 翁正平, 王平, 2015. IDW矿石品位估值结果的不确定性评价. 地球科学, 40(11): 1796-1801. doi: 10.3799/dqkx.2015.160
    引用本文: 李章林, 吴冲龙, 张夏林, 翁正平, 王平, 2015. IDW矿石品位估值结果的不确定性评价. 地球科学, 40(11): 1796-1801. doi: 10.3799/dqkx.2015.160
    Li Zhanglin, Wu Chonglong, Zhang Xialin, Weng Zhengping, Wang Ping, 2015. Uncertainty Assessment for IDW Ore Grade Estimates. Earth Science, 40(11): 1796-1801. doi: 10.3799/dqkx.2015.160
    Citation: Li Zhanglin, Wu Chonglong, Zhang Xialin, Weng Zhengping, Wang Ping, 2015. Uncertainty Assessment for IDW Ore Grade Estimates. Earth Science, 40(11): 1796-1801. doi: 10.3799/dqkx.2015.160

    IDW矿石品位估值结果的不确定性评价

    doi: 10.3799/dqkx.2015.160
    基金项目: 

    国家青年自然科学基金项目 41202231

    国家青年自然科学基金项目 40802082

    中央高校新青年教师科研启动基金项目 CUG110824

    详细信息
      作者简介:

      李章林(1982-), 男, 讲师, 博士, 主要从事三维地学模拟、地质统计学、数字矿山方面的研究工作.E-mail: lizhanglin@126.com

    • 中图分类号: P61

    Uncertainty Assessment for IDW Ore Grade Estimates

    • 摘要: 作为一种常用的矿石品位估值方法, 距离幂次反比(inverse distance weighting, 简称IDW)计算结果的可信度难以评估.对此, 提出了一种基于统计学理论的解决途径. 将参与IDW估值的样品品位视为指示化阈值, 推导得出估值过程中其分配到的权重, 即为待估点取这样品值的概率. 基于这一结论构建出IDW估计值对应的条件累计分布函数(conditional cumulative distribution function, 简称CCDF), 从而完成待估位置矿石品位不确定性的建模. 以一典型矿区的实际矿体勘探数据为基础进行了对比测试. 针对每个估值点的CCDF进行了中位数、期望、方差等信息的提取, 验证表明这一方法的计算结果与样品数据的实际情况之间存在较好的吻合度. 在一定程度上说明了它在IDW品位估值结果不确定性评价方面的有效性.

       

    • 图  1  实验样品数据的空间位置及品位分布情况

      Fig.  1.  Spatial distribution and summary statistics of the test dataset

      图  2  期望估计值与真实值(a)和中位数估计值(b)之间的关系

      ρ代表总体相关系数

      Fig.  2.  Scatter plots of expected estimates and true values (a) and medium estimates (b)

      图  3  期望估计值与条件标准差(a)和估计标准差(b)之间的关系

      ρ代表总体相关系数

      Fig.  3.  Scatter plots of expected estimates and conditional standard deviation (a) and estimation standard deviation (b)

      图  4  绝对误差与条件标准差(a)和估计标准差(b)之间的关系

      ρ代表总体相关系数

      Fig.  4.  Scatter plots of estimate true errors and conditional standard deviations (a) and estimated standard deviations (b)

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    出版历程
    • 收稿日期:  2014-12-23
    • 刊出日期:  2015-11-15

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