距离权重与品位分布对距离幂次反比法的影响

The influence of distance weight and grade distribution on the inverse distance weighted method

研究采用距离幂次反比法,借助曼哈顿距离、欧氏距离、切比雪夫距离及闵可夫斯基距离的其它形式计算距离权重,对蛇纹岩矿Ni和Mg O品位估值,研究距离权重、样品分布对估值结果的影响。研究表明:闵可夫斯基距离用于距离权重计算是可行的;研究给出了闵可夫斯基距离权重时估值偏差的变化规律,即闵可夫斯基距离幂次(p值)小于11时估值效果相对稳定,幂次大于11时估值效果逐渐变差;研究扩充了距离幂次反比法的距离权重计算方式,给出了一种新的提升估值准确性的途径,根据需求选择距离权重计算方式。此次研究中,闵可夫斯基距离幂次为3时估值效果最好,此时,Ni和Mg O品位均值偏差分别为-3.77%和-2.99%。

In this research,to study the influence of distance weight and grade distribution on the estimation results,the Inverse Distance Weighted（ IDW） was used to estimate the Ni grade and Mg O grade in serpentinite ore. Manhattan distance,Euclidean distance,Chebyshev distance and other forms of Minkowski distance were used for distance weight. The results show that it was feasible to use Minkowski distance for distance weight calculation. The research gave the variation rule of valuation deviations. The valuation results of IDW were relatively stable as Minkowski distance power（ p value） was less than 11,whereas the valuation effect became worse as the power was greater than 11. The research expands the calculation method of distance weight in IDW. A new way to improve the accuracy of valuation is given,researchers can choose different weight calculation methods according to their needs. In this study,when the power of Minkowski distance was 3,the valuation effect was the best,and the deviations of mean values of Ni and Mg O were-3. 77% and-2. 99%,respecitively.