Narrow Vein Ore Body Modeling by Geostatistics: An Example from Meiling-Hongshi Copper Mine in Xinjiang
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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.Abstract: 3D resource modeling of the narrow vein ore body is challenging due to its small thickness and large grade variations along the vein. This paper completed the three-dimensional modeling for narrow vein ore body of Meiling-Hongshi copper mine in Xinjiang, by building two-dimensional variation function Gaussian transformation into a single 3D block model. This study makes up for the lack of spatial morphology and grade change characteristics in the two-dimensional model. In addition, it avoids the high-smoothing effect of single-layer three-dimensional block model. The innovative monolayer 3D block modeling is not only more helpful to the partition of blocks in actual mining production, but also provides a basis for mineral resources evaluation and development design, which can facilitates future three-dimensional modeling of similar orebodies.
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Key words:
- narrow vein deposit /
- geostatistics /
- variation function /
- Gaussian transformation /
- ore deposit geology
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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 11 Cu12矿体块体模型平面
Fig. 11. Plan view of Cu12 single layer block model showing Cu grade variation
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 Z＜Zamin Y=Yamin Zamin≤Z≤Zpmin Y=linear(Yamin, Ypmin) Zpmin＜Z＜Zpmax $Y\leftarrow Z=\sum\limits_{i=0}^{NH-1}{{{\mathit{\Psi }}_{i}}{{H}_{i}}\left(Y \right)}$ Zpmax≤Z≤Zamax Y=linear(Ypmax, Yamax) Z＞Yamax Y=Yamax 
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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 Y＜Yamin Z=Zamin Yamin≤Y≤Ypmin Z=linear(Zamin, Zpmin) Ypmin＜Y＜Ypmax $Z=\sum\limits_{i=0}^{NH-1}{{{\mathit{\Psi }}_{i}}{{H}_{i}}\left(Y \right)}$ Ypmax≤Y≤Yamax Z=linear(Zpmax, Zamax) Y＞Yamax Z=Zamax
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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.
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