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基于多维概率分布的多金属矿床储量估算模型
引用本文:李国清,胡乃联. 基于多维概率分布的多金属矿床储量估算模型[J]. 北京科技大学学报, 2011, 33(3): 257-263
作者姓名:李国清  胡乃联
作者单位:北京科技大学土木与环境工程学院;
基金项目:国家高技术研究发展计划“十一五”重点资助项目(No.2006AA060203)
摘    要:
为解决不同边界品位下多金属矿床的储量快速估算问题,针对多金属矿床有用组分之间具有相关性的特点,基于多维概率分布函数建立了多金属矿床储量估算数学模型.以某金铜矿床为例,分析证明了矿床中金、铜品位的概率密度呈对数正态分布,并对金、铜品位分布的相关性特征进行检验.在此基础上将一维概率密度扩展至多维,建立了金铜矿床品位分布的多维概率密度函数,得出了不同边界品位下矿床保有的资源储量,并进行了可靠性验证.结果表明,模型的计算误差在10%以内,符合储量管理的精度要求.

关 键 词:多金属矿床  储量  概率密度函数  边界品位  正态分布

Reserve evaluation model of polymetallic deposits based on multidimensional probability distributions
LI Guo-qing,HU Nai-lian. Reserve evaluation model of polymetallic deposits based on multidimensional probability distributions[J]. Journal of University of Science and Technology Beijing, 2011, 33(3): 257-263
Authors:LI Guo-qing  HU Nai-lian
Affiliation:LI Guo-qing,HU Nai-lian School of Civil and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083
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 polymetallic deposits.The model was verified by studying a gold-copper deposit case.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...
Keywords:polymetallic deposits  reserves  probability density function  cut-off grade  normal distribution  
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