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MULTIVARIATE SIMULATION OF CHANNEL IRON ORE DEPOSITS AT BUNGAROO AND YANDICOOGINA, WESTERN AUSTRALIA

机译:西澳大利亚州邦加鲁和扬迪哥金纳的通道铁矿床沉积物的多元模拟

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摘要

Geostatistical conditional simulation has wide potential applications in the iron ore industry and is the favoured tool to assess variability and risk. Multivariate relationships are important in such simulation, for example between Fe and impurities such as Al2O3, SiO2 and P. Turning bands has been the main conditional simulation algorithm used in the Western Australian iron ore industry. In this thesis a more recent approach using minimum/maximum autocorrelation factors (MAF) and sequential Gaussian simulation (SGS) are used together and performance comparisons are made with turning bands at Yandicoogina, a channel iron ore deposit (CID) in Western Australia. MAF-SGS and turning bands algorithms both performed well in simulating Fe, SiO2, Al2O3 and P at Yandicoogina. Extensive checking of simulations showed both approaches could reasonably reproduce multivariate statistics and spatial continuity of composites including means, variances, histograms, quantile-quantile plots, scatter plots and variography in normal scores and data space, as well as in MAF space for the MAFSGS approach. MAF generated from transformed composites were largely uncorrelated and able to be considered independent for variography and simulation. Later back transformation from MAF space to normal scores space then to data space successfully reintroduced joint relationships seen in the conditioning data. While the MAF-SGS approach needs additional transformations compared with turning bands, a linear model of coregionalisation and hence the modelling of cross semivariograms is not required. If there are a high number of variables then construction of a linear model of coregionalisation becomes more difficult and the MAF approach may be preferred. In this study four variables were considered and a linear model of coregionalisation could be built. Turning bands transformations are from data space to normal scores space only, with no need to calculate or check any decorrelated factors. The two main methods currently used in the mining industry for determining optimum drillhole spacing with the use of conditional simulation were compared at the Test Pit area of the Bungaroo channel iron ore deposit, also in Western Australia. The " simulation-simulation" method generates precisions for various drillhole spacing using two stages of simulation, whereas the " simulation-estimation" approach calculates expected relative errors for different spacings via a simulation stage followed by an estimation step. Clear differences exist between the relative errors from the simulation-estimation method and the precisions calculated from the simulation-simulation method. The simulationestimation method appears more insensitive to the grid spacing with only moderate improvements in relative error as the drillhole spacing is tightened. The simulationsimulation method shows more marked improvement in precision with closer spacing and appears more realistic in this study. Al2O3 is the main variable to consider at Bungaroo when choosing a suitable drillhole spacing. SiO2 grades of composites are mainly below the SiO2 cut off grade for ore whereas the mean Al2O3 is grade is quite close to the Al2O3 cut off grade for ore. Hence although SiO2 has higher variability, it is not as critical as Al2O3 for determination of drillhole spacing. Fe and P have greater spatial continuity than Al2O3 and SiO2 and do not require such close drillhole spacing. Fifteen percent precision, based on a volume representing a quarter’s production and using the simulation-simulation method, may be regarded as acceptable for mine planning purposes. A resource evaluation drilling spacing of 150m along strike and 50m across strike appears appropriate for a precision of less than 15% for a quarterly mining volume in determining Al2O3 grade at Bungaroo.
机译:地统计条件模拟在铁矿石行业中具有广泛的潜在应用,并且是评估变异性和风险的首选工具。多元关系在此类模拟中很重要,例如在Fe与Al2O3,SiO2和P等杂质之间。转向带一直是西澳大利亚铁矿石行业中使用的主要条件模拟算法。在本文中,将最小/最大自相关因子(MAF)和顺序高斯模拟(SGS)结合使用的最新方法,并在西澳大利亚的通道铁矿床(CID)Yandicoogina的转向带进行了性能比较。 MAF-SGS和转向带算法在Yandicoogina的Fe,SiO2,Al2O3和P的模拟中均表现良好。广泛的模拟检查显示,两种方法均可以合理地重现复合材料的多元统计量和空间连续性,包括均值,方差,直方图,分位数-分位数图,散点图和方差图(在正常分数和数据空间以及MAFSGS方法的MAF空间中) 。由转化复合物产生的MAF在很大程度上是不相关的,并且能够被认为是独立于变异函数和模拟的。后来从MAF空间向正常分数空间再向数据空间的反向转换成功地重新引入了在条件数据中看到的关节关系。尽管与转向带相比,MAF-SGS方法需要进行其他变换,但不需要共区域化的线性模型,因此不需要交叉半变异函数的建模。如果存在大量变量,则共区域化线性模型的构建将变得更加困难,因此可能首选MAF方法。在这项研究中,考虑了四个变量,可以建立共区域化的线性模型。转弯带转换仅是从数据空间到普通分数空间的,而无需计算或检查任何去相关的因素。在西澳大利亚的邦加鲁通道铁矿石矿床的测试坑区域,比较了采矿业目前使用的两种主要方法,它们通过条件模拟来确定最佳钻孔间距。 “模拟模拟”方法使用两个阶段的模拟来生成各种钻孔间距的精度,而“模拟估计”方法则通过一个模拟步骤,然后进行一个估计步骤来计算不同间距的预期相对误差。仿真估算方法的相对误差与仿真仿真方法计算的精度之间存在明显差异。模拟估计方法对网格间距似乎不敏感,并且随着井眼间距的缩小,相对误差只有适度的改善。仿真模拟方法显示出随着间距的缩小,精度有了更大的提高,并且在这项研究中显得更加现实。选择合适的钻孔间距时,Al2O3是在Bungaroo中要考虑的主要变量。复合材料的SiO2品位主要低于矿石的SiO2截止品位,而Al2O3的平均品位非常接近矿石的Al2O3截止品位。因此,尽管SiO2具有较高的可变性,但在确定钻孔间距方面不如Al2O3那么关键。 Fe和P具有比Al2O3和SiO2更大的空间连续性,并且不需要如此紧密的钻孔间距。基于代表一个季度产量的体积并使用模拟-模拟方法,百分之十五的精度对于矿山计划而言可能被认为是可以接受的。确定Bungaroo的Al2O3品位的季度开采量时,沿走向进行150m的资源评估钻孔间距,跨越走向进行50m的钻孔精度似乎小于15%。

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