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Mean particle size prediction in rock blast fragmentation using neural networks

机译:基于神经网络的爆破破碎平均粒度预测

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Multivariate analysis procedures and a neural network methodology are used to predict mean particle size resulting from rock blast fragmentation. A blast data base developed in a previous study is used in the current study. The data base consists of blast design parameters, explosive parameters, modulus of elasticity and in-situ block size. In the same previous study a hierarchical cluster analysis was used to separate the blast data into two different groups of similarity based on the intact rock stiffness. In the same study the group memberships were confirmed by the discriminant analysis. A part of this blast data was used in this study to train a single-hidden layer back- propagation neural network model to predict mean particle size resulting from blast fragmentation for each of the obtained similarity groups. The mean particle size was considered to be a function of seven independent parameters. Four learning algorithms were considered to train neural network models. Levenberg-Marquardt algorithm turned out to be the best one providing the highest stability and maximum learning speed. An extensive analysis was performed to estimate the optimum value for the number of units for the hidden layer for each of the obtained similarity groups. The blast data that were not used for training are used to validate the trained neural network models. For the same two similarity groups, multivariate regression models were also developed to predict mean particle size. Capability of the developed neural network models as well as multivariate regression models is determined by comparing predictions with measured mean particle size values and predictions based on one of the most applied fragmentation prediction models appearing in the blasting literature. Prediction capability of the trained neural network models as well as multivariate regression models was found to be strong and better than the existing most applied fragmentation prediction model. Diversity of the blasts data used is one of the most important aspects of the developed models. The developed neural network models and multivariate regression analysis models are suitable for practical use at mines.
机译:使用多元分析程序和神经网络方法来预测由碎石碎裂产生的平均粒径。在当前研究中使用了先前研究中开发的爆炸数据库。该数据库由爆炸设计参数,爆炸参数,弹性模量和原位块大小组成。在相同的先前研究中,基于完整的岩石刚度,使用层次聚类分析将爆炸数据分为相似的两个不同组。在同一研究中,通过判别分析确认了组成员身份。这项爆炸数据的一部分用于本研究中,以训练单隐藏层反向传播神经网络模型,以预测每个获得的相似性组的爆炸碎片产生的平均粒径。平均粒度被认为是七个独立参数的函数。考虑了四种学习算法来训练神经网络模型。 Levenberg-Marquardt算法被证明是提供最高稳定性和最大学习速度的最佳算法。进行了广泛的分析以针对每个获得的相似性组估计隐藏层的单元数的最佳值。未用于训练的爆炸数据用于验证训练后的神经网络模型。对于相同的两个相似性组,还开发了多元回归模型来预测平均粒径。通过将预测值与测得的平均粒径值进行比较,并根据爆破文献中出现的最常用的碎片预测模型之一,通过预测来确定已开发的神经网络模型以及多元回归模型的能力。发现训练过的神经网络模型以及多元回归模型的预测能力强于并优于现有的最常用的碎片预测模型。使用的爆炸数据的多样性是已开发模型最重要的方面之一。所开发的神经网络模型和多元回归分析模型适用于矿山的实际应用。

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