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Stochastic assessment of pillar stability at Laisvall mine using Artificial Neural Network

机译:基于人工神经网络的Laisvall矿柱稳定性的随机评估

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Stability analyses of any excavations within the rock mass require reliable geotechnical input parameters such as in situ stress field, rock mass strength and deformation modulus. These parameters are intrinsically uncertain and their precise values are never known, hence, their variability must be properly accounted for in the stability analyses. Traditional deterministic approaches do not quantitatively consider these uncertainties in the input parameters. To incorporate these uncertainties stochastic approaches are generally used. In this study, a stochastic assessment of pillar stability using Artificial Neural Network (ANN) is presented. The uncertainty in the rock mass properties at the Laisvall mine were quantified and the probability density function of the deformation modulus of the rock mass was determined using probabilistic approach. The variability of the in situ stress was also considered. The random values of the deformation modulus and the horizontal in situ stresses were used as input parameters in the FLAC(3D) numerical simulations to determine the axial strain in the pillar. ANN model was developed to approximate an implicit relationship between the deformation modulus, horizontal in situ stresses and the axial strain occurring in pillar due to mining activities. The closed-form relationship generated from the trained ANN model, together with the maximum strain that the pillar can withstand was used to assess the stability of the pillar in terms of reliability index and probability of failure. The results from this study indicate that, the thickness of the overburden and pillar dimension have a substantial effect on the probability of failure and reliability index. Also shown is the significant influence of coefficient of variation (COV) of the random variables on the pillar stability. The approach presented in this study can be used to determine the optimal pillar dimensions based on the minimum acceptable risk of pillar failure. (C) 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license.
机译:岩体中任何开挖的稳定性分析都需要可靠的岩土工程输入参数,例如原位应力场,岩体强度和变形模量。这些参数本质上是不确定的,其精确值永远未知,因此,在稳定性分析中必须适当考虑它们的可变性。传统的确定性方法没有在输入参数中定量地考虑这些不确定性。为了合并这些不确定性,通常使用随机方法。在这项研究中,提出了使用人工神经网络(ANN)进行柱稳定性的随机评估。量化了Laisvall矿山岩体性质的不确定性,并使用概率方法确定了岩体变形模量的概率密度函数。还考虑了原位应力的变化性。在FLAC(3D)数值模拟中,将变形模量和水平原位应力的随机值用作输入参数,以确定立柱中的轴向应变。建立了ANN模型,以近似变形系数,水平原位应力和由于开采活动而在柱中产生的轴向应变之间的隐式关系。从受过训练的ANN模型生成的闭合形式关系以及支柱可以承受的最大应变被用来根据可靠性指标和失效概率来评估支柱的稳定性。这项研究的结果表明,覆盖层的厚度和支柱的尺寸对失效的可能性和可靠性指标有很大的影响。还显示了随机变量的变异系数(COV)对支柱稳定性的重大影响。本研究中提出的方法可用于基于可接受的最小支柱故障风险来确定最佳支柱尺寸。 (C)2015作者。由Elsevier Ltd.发行。这是CC BY-NC-ND许可下的开放获取文章。

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