Fractal models for ore reserve estimation

Fractal models for ore reserve estimation
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矿石储量估算的分形模型

DOI:
10.1016/j.oregeorev.2009.11.002
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发表时间:
2010-02
影响因子:
3.3
通讯作者:
杨立强
杨立强
中科院分区:
地球科学2区
文献类型:
--
作者:
杨立强

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单存款储量估算的传统几何学和地质统计学方法难以用于偏态分布的矿化变量,包括品位、矿体厚度和品位-厚度,这是大多数矿床的共同特征,并且需要复杂的数据处理。研究表明,倾斜的矿化变量可以用分形域中的数量-尺寸模型来描述。在数量-尺寸模型的基础上,假定矿体厚度和品位-厚度为连续变量,建立了单个存款储量计算的分形模型。在FMRE中,可以根据矿体面积估算矿石吨数,根据矿体面积和品位-厚度分布的分形参数估算矿体厚度分布的分形参数和金属吨数。FMRE估计的储量可表示可从存款中开采的实际矿石吨位和金属吨位。将该方法应用于胶东金矿区大尹格庄金存款矿床。FMRE法与传统几何块段法计算的黄金储量相近,矿石量相对误差为3.11%,金属量相对误差为0.29%。与传统的储量估计方法相比,该方法计算过程简单,对偏态分布的处理更为合理。然而,这种新方法无法计算本地储量,这可以通过任何传统的估计方法。
Traditional geometric and geostatistic methods for reserve estimation in a single deposit are difficult to use with skewed distribution mineralization variables including grade, orebody thickness and grade–thickness, a common characteristic of most deposits, and require complex data processing. It has been shown that the skewed mineralization variables can be described by the number–size model in a fractal domain. Based on the number–size model, assuming that orebody thickness and grade–thickness are continuous variables, the fractal model for reserve estimation (FMRE) in a single deposit can be established. In the FMRE, ore tonnage can be estimated given the orebody area and the fractal parameters of orebody thickness distribution and metal tonnage can be estimated based on the orebody area and the fractal parameters of grade–thickness distribution. The reserve estimated by the FMRE can denote actual ore tonnage and metal tonnage that can be mined out of the deposit. The FRME was applied to the Dayingezhuang gold deposit in the Jiaodong gold province in China. The gold reserves via the FMRE and the traditional geometric block method are similar, with relative errors of 3.11% in ore tonnage and 0.29% in metal tonnage. Compared to traditional reserve estimation the FMRE is much easier in calculation process and is more reasonable in dealing with the skewed distribution. However, this new method fails to calculate local reserve, which can be derived via any of the traditional estimation methods.
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