矿山离散钻孔样品变异函数模型计算与拟合  

Calculating and Fitting Variogram Models for Dispersed Mine Drill Samples

作　　者：荆永滨 王公忠 毕林[2] 

机构地区：[1]河南工程学院安全工程学院,河南郑州451191 [2]中南大学资源与安全工程学院,湖南长沙410083

出　　处：《矿冶工程》2017年第4期19-22,27,共5页Mining and Metallurgical Engineering

基　　金：国家自然科学基金(41572317);河南省科技攻关项目(172102310643);河南工程学院博士基金(D2013021)

摘　　要：为建立用于矿产资源储量估算的变异函数模型,对矿山离散钻孔样品变异函数的计算与拟合方法进行了研究。在定向实验变异函数计算中,采用定向搜索棱柱代替搜索方向,用以搜索空间位置分布不规则的离散样品中满足滞后距条件的成对样品,给出了对于离散样品的定向实验变异函数计算步骤及算法实现。以实验变异函数图变程范围内的离散点及成对样品数目为主要依据,对理论变异函数进行人工拟合,建立理论变异函数模型,最后通过交叉验证的方法进行最优理论模型的选择。以某矿山铜元素品位数据为例,利用组合样品计算矿体走向、倾向和厚度方向的实验变异函数,并分别采用3种理论模型进行拟合,根据交叉验证结果计算平均误差、标准化平均误差、误差标准差,经过比较最终选择球状模型为最优理论模型。结果表明,本文提出的变异函数计算与拟合方法能准确建立矿山离散样品的变异函数模型,使矿石品位估值和资源储量计算结果更加可靠和准确。The calculating and fitting methods for variogram of dispersed drilling samples were studied for constructing a variogram model for geostatistical mineral resource/reserve estimation.In the calculation of directional experimental variogram,directional search prism was proposed instead of search direction for searching those sample pairs meeting the lag distance requirement.Calculation steps and algorithm implementation of directional experimental variogram for dispersed drill samples were given.Based on the scattered points within the range and number of sample pairs in the graph of experimental variogram,the theoretical variogram was fitted manually to establish a theoretical variogram model.And an optimal theoretical model was selected through cross validation.With copper grade data from one mine taken as an example, the experimental variogram including orebody strike, dip direction and thickness of orebody, were calculated using a kind of composite sample.The obtained results were fitted with three theoretical models.Then,results from cross validation were taken for calculating mean error,standardized mean error and standard deviation of error.Finally,a spherical model was selected as the optimal theoretical model after comparison.It is shown that the proposed calculating and fitting method for variogram can exactly create a variogram model for dispersed drill samples in mines,leading to the grade estimation and reserve calculation with more reliability and accuracy.

关 键 词：地质统计学 变异函数 理论模型 模型拟合 

分 类 号：TD672[矿业工程—矿山机电] TP391.72[自动化与计算机技术—计算机应用技术]