Evaluation of underground hard rock mine pillar stability using gene expression programming and decision tree‐support vector machine models

M. Kadkhodaei, Ebrahim Ghasemi, Jian Zhou, Melika Zahraei
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Abstract

Assessing the stability of pillars in underground mines (especially in deep underground mines) is a critical concern during both the design and the operational phases of a project. This study mainly focuses on developing two practical models to predict pillar stability status. For this purpose, two robust models were developed using a database including 236 case histories from seven underground hard rock mines, based on gene expression programming (GEP) and decision tree‐support vector machine (DT‐SVM) hybrid algorithms. The performance of the developed models was evaluated based on four common statistical criteria (sensitivity, specificity, Matthews correlation coefficient, and accuracy), receiver operating characteristic (ROC) curve, and testing data sets. The results showed that the GEP and DT‐SVM models performed exceptionally well in assessing pillar stability, showing a high level of accuracy. The DT‐SVM model, in particular, outperformed the GEP model (accuracy of 0.914, sensitivity of 0.842, specificity of 0.929, Matthews correlation coefficient of 0.767, and area under the ROC of 0.897 for the test data set). Furthermore, upon comparing the developed models with the previous ones, it was revealed that both models can effectively determine the condition of pillar stability with low uncertainty and acceptable accuracy. This suggests that these models could serve as dependable tools for project managers, aiding in the evaluation of pillar stability during the design and operational phases of mining projects, despite the inherent challenges in this domain.
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利用基因表达编程和决策树-支持向量机模型评估地下硬岩矿柱稳定性
评估地下矿井(尤其是深层地下矿井)支柱的稳定性是项目设计和运营阶段的关键问题。本研究主要侧重于开发两个实用模型来预测支柱稳定性状况。为此,基于基因表达编程(GEP)和决策树-支持向量机(DT-SVM)混合算法,利用数据库(包括七个地下硬岩矿井的 236 个案例)开发了两个稳健模型。根据四种常见的统计标准(灵敏度、特异性、马修斯相关系数和准确性)、接收者操作特征曲线(ROC)和测试数据集对所开发模型的性能进行了评估。结果表明,GEP 和 DT-SVM 模型在评估支柱稳定性方面表现优异,显示出较高的准确性。DT-SVM 模型的表现尤其优于 GEP 模型(准确度为 0.914,灵敏度为 0.842,特异度为 0.929,马修斯相关系数为 0.767,测试数据集的 ROC 下面积为 0.897)。此外,在将所开发的模型与之前的模型进行比较后发现,这两个模型都能有效地确定支柱的稳定性状况,且不确定性较低,准确性也可以接受。这表明,这些模型可作为项目经理的可靠工具,在采矿项目的设计和运营阶段协助评估矿柱稳定性,尽管这一领域存在固有的挑战。
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