Liu Zhan-Ning, Yu Xiao-Yan, Jia Li-Feng, Wang Yuan-Sheng, Song Yu-Chen, Meng Hai-Dong
Anyang Institute of Technology, Anyang, 455000, People's Republic of China.
Inner Mongolia University of Science and Technology, Baotou, 014010, People's Republic of China.
Sci Rep. 2021 Jan 29;11(1):2689. doi: 10.1038/s41598-021-82227-y.
In order to study the influence of distance weight on ore-grade estimation, the inverse distance weighted (IDW) is used to estimate the Ni grade and MgO grade of serpentinite ore based on a three-dimensional ore body model and related block models. Manhattan distance, Euclidean distance, Chebyshev distance, and multiple forms of the Minkowski distance are used to calculate distance weight of IDW. Results show that using the Minkowski distance for the distance weight calculation is feasible. The law of the estimated results along with the distance weight is given. The study expands the distance weight calculation method in the IDW method, and a new method for improving estimation accuracy is given. Researchers can choose different weight calculation methods according to their needs. In this study, the estimated effect is best when the power of the Minkowski distance is 3 for a 10 m × 10 m × 10 m block model. For a 20 m × 20 m × 20 m block model, the estimated effect is best when the power of the Minkowski distance is 9.
为研究距离权重对矿石品位估计的影响，基于三维矿体模型及相关块体模型，采用距离反比加权法（IDW）对蛇纹岩矿石的镍品位和氧化镁品位进行估计。利用曼哈顿距离、欧几里得距离、切比雪夫距离以及多种形式的闵可夫斯基距离来计算IDW的距离权重。结果表明，使用闵可夫斯基距离进行距离权重计算是可行的。给出了估计结果随距离权重的变化规律。该研究拓展了IDW方法中的距离权重计算方法，并给出了一种提高估计精度的新方法。研究人员可根据自身需求选择不同的权重计算方法。在本研究中，对于10 m×10 m×10 m的块体模型，当闵可夫斯基距离的幂次为3时估计效果最佳。对于20 m×20 m×20 m的块体模型，当闵可夫斯基距离的幂次为9时估计效果最佳。
