用Fisher判别法和支持向量机预测地下矿山矿柱稳定性(英文)

Predicting pillar stability for underground mine using Fisher discriminant analysis and SVM methods

利用Fisher判别分析(FDA)和支持向量机(SVMs)等来识别地下矿山矿柱稳定性,从多种煤矿和石材矿山中提取一些指标和力学参数作为识别因子,包括矿柱宽度、高度、矿柱的高宽比、岩石单轴抗压强度和矿柱应力。包括取样、训练、建模和评估4个主要步骤。在建模阶段,基于统计学习理论,建立两类矿柱稳定性预测的FDA和SVMs模型,以40组世界不同矿山的实测数据进行模型的训练和测试,并将其模型应用于其他6组待测样本来验证建立模型的有效性,将SVMs模型预测结果与FDA模型及实际情况进行对比,采用指标回代估计法和交叉验证法来考察模型的识别能力。研究表明,SVMs和FDA模型都能较好地预测矿柱的稳定性,但SVMs的优势更明显,有望成为一种可靠、实用的地下矿山矿柱稳定性的评价工具。

The purpose of this study is to apply some statistical and soft computing methods such as Fisher discriminant analysis （FDA） and support vector machines （SVMs） methodology to the determination of pillar stability for underground mines selected from various coal and stone mines by using some index and mechanical properties, including the width, the height, the ratio of the pillar width to its height, the uniaxial compressive strength of the rock and pillar stress. The study includes four main stages： sampling, testing, modeling and assessment of the model performances. During the modeling stage, two pillar stability prediction models were investigated with FDA and SVMs methodology based on the statistical learning theory. After using 40 sets of measured data in various mines in the world for training and testing, the model was applied to other 6 data for validating the trained proposed models. The prediction results of SVMs were compared with those of FDA as well as the measured field values. The general performance of models developed in this study is close; however, the SVMs exhibit the best performance considering the performance index with the correct classification rate Prs by re-substitution method and Pcv by cross validation method. The results show that the SVMs approach has the potential to be a reliable and practical tool for determination of pillar stability for underground mines.