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    地质统计学在细脉型矿体模拟中的应用:以新疆梅岭-红石铜矿为例

    张会琼 刘金辉 王京彬 赵路通 孙紫坚 韩英 熊靓辉

    张会琼, 刘金辉, 王京彬, 赵路通, 孙紫坚, 韩英, 熊靓辉, 2018. 地质统计学在细脉型矿体模拟中的应用:以新疆梅岭-红石铜矿为例. 地球科学, 43(9): 2980-2986. doi: 10.3799/dqkx.2018.283
    引用本文: 张会琼, 刘金辉, 王京彬, 赵路通, 孙紫坚, 韩英, 熊靓辉, 2018. 地质统计学在细脉型矿体模拟中的应用:以新疆梅岭-红石铜矿为例. 地球科学, 43(9): 2980-2986. doi: 10.3799/dqkx.2018.283
    Zhang Huiqiong, Liu Jinhui, Wang Jingbin, Zhao Lutong, Sun Zijian, Han Ying, Xiong Lianghui, 2018. Narrow Vein Ore Body Modeling by Geostatistics: An Example from Meiling-Hongshi Copper Mine in Xinjiang. Earth Science, 43(9): 2980-2986. doi: 10.3799/dqkx.2018.283
    Citation: Zhang Huiqiong, Liu Jinhui, Wang Jingbin, Zhao Lutong, Sun Zijian, Han Ying, Xiong Lianghui, 2018. Narrow Vein Ore Body Modeling by Geostatistics: An Example from Meiling-Hongshi Copper Mine in Xinjiang. Earth Science, 43(9): 2980-2986. doi: 10.3799/dqkx.2018.283

    地质统计学在细脉型矿体模拟中的应用:以新疆梅岭-红石铜矿为例

    doi: 10.3799/dqkx.2018.283
    基金项目: 

    国土资源部行业科研基金项目 201411026

    详细信息
      作者简介:

      张会琼(1982-), 女, 高级工程师, 主要从事科技管理与成矿预测研究工作

      通讯作者:

      刘金辉

    • 中图分类号: P624

    Narrow Vein Ore Body Modeling by Geostatistics: An Example from Meiling-Hongshi Copper Mine in Xinjiang

    • 摘要: 细脉状矿体由于矿脉厚度小且沿走向和倾向品位变化较大,致使其在资源模拟中很难实现三维建模.通过构建高斯变换的二维变异函数转载到单层三维块体模型,首次完成了对新疆梅岭-红石铜矿区细脉状矿体的三维建模.这一成果弥补了二维模型在空间形态、品位变化特征上的不足,避免了采用传统极小的子块模型匹配实体模型所产生的高平滑效应.单层三维块体模型能够更加有助于实际采矿生产中块段划分,具有创新性,并为矿产资源评价和开发设计提供基础,对同类矿体的三维建模具有重要的指导意义.

       

    • 图  1  埃尔米特多项式高斯变换

      Fig.  1.  Gaussian anamorphosis by Hermite polynomials

      图  2  卡拉塔格矿区地质简图

      1.卡拉塔格火山岩系;2.志留纪花岗岩;3.泥盆纪大南湖组;4.志留纪闪长岩;5.白垩系;6.泥盆纪花岗岩;7.二叠系;8.花岗斑岩/次火山岩;9.侏罗系;10.志留纪二长花岗岩;11.推测的火山机构

      Fig.  2.  Geological sketch of Kalatage mine area

      图  3  梅岭-红石矿区地质及深部矿体投影

      1.凝灰质砂岩;2.硅质岩;3.蚀变石英流纹斑岩;4.角砾岩;5.含角砾熔结凝灰岩;6.铜矿脉;7.火山碎屑岩;8.熔结凝灰岩;9.玄武安山岩;10.侵入花岗岩;11.火山机构

      Fig.  3.  Geological and domains projection map of Meiling-Hongshi mine

      图  4  Cu12矿体的铜品位基本统计

      Fig.  4.  Basic statistics of copper grade on Cu12 domain

      图  5  Cu12矿体的视厚度基本统计

      Fig.  5.  Basic statistics of visual thickness on Cu12 domain

      图  6  Cu12矿体的高斯变换铜品位基本统计

      Fig.  6.  Basic statistics of Gaussian Cu grade on Cu12 domain

      图  7  Cu12整数据库组合样品试验变异函数

      Fig.  7.  Downhole variogram on Gaussian value

      图  8  样品高斯变换值试验变异函数与理论变异函数

      Fig.  8.  Variogram and variogram modeling for Gaussian value

      图  9  反变换的原始组合样品理论变异函数模型

      Fig.  9.  Final variogram modeling on raw composites

      图  10  Cu12矿体单层块体模型剖面

      Fig.  10.  Cross section of single layer block model

      图  11  Cu12矿体块体模型平面

      Fig.  11.  Plan view of Cu12 single layer block model showing Cu grade variation

      图  12  Cu12矿体三维模型

      Fig.  12.  Three-dimensional model of Cu12

      表  1  线性插值反转变换(原始变量转高斯变量)

      Table  1.   Linear interpolator inversion (raw variable to Gaussian variable)

      条件Z 结果Y
      ZZamin Y=Yamin
      ZaminZZpmin Y=linear(Yamin, Ypmin)
      ZpminZZpmax $Y\leftarrow Z=\sum\limits_{i=0}^{NH-1}{{{\mathit{\Psi }}_{i}}{{H}_{i}}\left(Y \right)}$
      ZpmaxZZamax Y=linear(Ypmax, Yamax)
      ZYamax Y=Yamax
      下载: 导出CSV

      表  2  分区间高斯变量转原始变量

      Table  2.   Gaussian variable into raw variable on intervals

      条件Y 结果Z
      YYamin Z=Zamin
      YaminYYpmin Z=linear(Zamin, Zpmin)
      YpminYYpmax $Z=\sum\limits_{i=0}^{NH-1}{{{\mathit{\Psi }}_{i}}{{H}_{i}}\left(Y \right)}$
      YpmaxYYamax Z=linear(Zpmax, Zamax)
      YYamax Z=Zamax
      下载: 导出CSV

      表  3  Cu12矿体Cu品位与矿化厚度基本统计

      Table  3.   Basic statistics of Cu grade and thickness on Cu12 domain

      统计特征 最小值 最大值 平均值 方差 变异系数
      Cu原始样品位 0.02% 6.09% 0.47% 0.86 1.95
      Cu组合样品位 0.04% 2.27% 0.41% 0.23 1.17
      矿化厚度 1.10 m 19.53 m 7.38 m 24.00 0.66
      注:Cu原始样品个数153个,Cu组合样品个数27个,矿化厚度所测样品个数27个.
      下载: 导出CSV
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