Reserve evaluation model of polymetallic deposits based on multidimensional probability distributions
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摘要: 為解決不同邊界品位下多金屬礦床的儲量快速估算問題,針對多金屬礦床有用組分之間具有相關性的特點,基于多維概率分布函數建立了多金屬礦床儲量估算數學模型.以某金銅礦床為例,分析證明了礦床中金、銅品位的概率密度呈對數正態分布,并對金、銅品位分布的相關性特征進行檢驗.在此基礎上將一維概率密度擴展至多維,建立了金銅礦床品位分布的多維概率密度函數,得出了不同邊界品位下礦床保有的資源儲量,并進行了可靠性驗證.結果表明,模型的計算誤差在10%以內,符合儲量管理的精度要求.Abstract: A mathematical model was built up to realize a quick reserve evaluation of polymetallic deposits based on a multidimensional probability distribution function in view of that there exists a certain correlation between valuable components in the polymetallie deposits. The model was verified by studying a gold-copper deposit ease. In the case, it was proved that the probability density of both Au and Cu grades obeys a logarithmic normal distribution, based on which the correlation between them was verified. Then a function of the muhidimensional probability distribution of grades in the gold-copper deposit was established after the probability density distribution was expanded from one-dimension to muhi-dimension. The corresponding reserves for different cut-off grades were calculated with the help of the function. The model was proved reliable for the calculation error was less than 10%, which is an accepted accuracy for reserve evaluations.
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Key words:
- polymetallic deposits /
- reserves /
- probability density function /
- cut-off grade /
- normal distribution
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