Ore body domaining by clustering of multiple-point data events; a case study from the Dalli porphyry copper-gold deposit, central Iran

Hamed Mohammadi, Sajjad Talesh Hosseini, Omid Asghari, Pouya Asadi Harouni
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Abstract

Partitioning of borehole samples into homogenous attributes and continuous spatial domains, here in called ore body domaining, is an important step in mineral resource estimation. Traditional clustering approaches are often resulted in certain domains with poor spatial continuity. Therefore, there is a need to a novel approach to consider the spatial dependency between data locations in clustering analysis. In this research, a certain analysis on multiple-point data events, as a nonparametric higher-order geostatistical approach, is introduced to optimize statistical clustering methods by considering spatial information such as drilling data. Initially, user to extract the n-point data events around each borehole samples defines a fixed spatial n-point template. Then, a dissimilarity matrix is calculated through Euclidean distances between pairs of multiple point data events extracted from the dataset. Next, a multidimensional scaling (MDS) is used to represent the similarity or dissimilarity among samples at a low dimension coordinates matrix. Finally, the matrix obtained from MDS is used as an input of statistical clustering methods to improve its ability in terms of spatial continuity and physical realism. In order to verify the performances of proposed approach, we applied to a 2D synthetic case study and a real case of borehole dataset of the Dalli Cu-Au porphyry. The results were analyzed in terms of statistical contrast among domains and generating the continuous spatial and geological realism domains. Evaluations indicate that the results of the proposed method can be resulted in appropriate continuous spatial domains. In addition, the results of real case study indicated that there was a meaningful compatibility between generated domains from the proposed method and available geological facts.

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多点数据事件聚类的矿体域划分伊朗中部达利斑岩铜金矿床的案例研究
将钻孔样品划分为均匀属性和连续空间域,即矿体域,是矿产资源估算的重要步骤。传统的聚类方法往往导致某些空间连续性较差的域。因此,需要一种新的方法来考虑聚类分析中数据位置之间的空间依赖性。本研究引入多点数据事件分析作为一种非参数高阶地统计学方法,通过考虑钻井数据等空间信息,优化统计聚类方法。首先,用户在每个钻孔样本周围提取n点数据事件,定义一个固定的空间n点模板。然后,通过从数据集中提取的多点数据事件对之间的欧几里得距离计算不相似矩阵。其次,使用多维尺度(MDS)在低维坐标矩阵中表示样本之间的相似性或不相似性。最后,将MDS得到的矩阵作为统计聚类方法的输入,提高统计聚类方法的空间连续性和物理真实感能力。为了验证该方法的性能,我们应用了二维合成案例研究和达利铜金斑岩井眼数据集的实际案例。对结果进行统计对比分析,生成连续的空间和地质真实域。评价结果表明,该方法可以在适当的连续空间域中得到结果。实例研究结果表明,该方法生成的区域与现有地质事实具有较好的一致性。
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