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Simultaneous stochastic optimisation of mining complexes with equipment uncertainty: Application at an open-pit copper mining complex 具有设备不确定性的采矿联合企业的同步随机优化:露天铜矿综合体的应用
Pub Date : 2024-07-26 DOI: 10.1177/25726668241263408
Yi Jiang, R. Dimitrakopoulos
A mining complex or mineral value chain is an integrated system composed of mines, stockpiles, waste disposal and tailings facilities, processing destinations and transportation, that leads to generating sellable products delivered to customers and/or the spot market. To deal with such a system, conventional approaches optimise the related components independently and sequentially, while ignoring the related uncertainties. This article extends the simultaneous stochastic optimisation of mining complexes, so as to incorporate equipment uncertainties in addition to supply uncertainty. The inclusion of multiple components and different sources of uncertainty empowers the optimisation to capitalise on the synergies between the different components of a mining complex, while also managing the related technical risk and maximising the net present value. An application at a copper mining complex demonstrates the applied aspects of the proposed approach that jointly considers supply and equipment uncertainty to generate life-of-asset production schedules with a 2% higher net present value, when compared to the results considering only supply uncertainty.
矿业综合体或矿产价值链是一个综合系统,由矿山、库存、废物处理和尾矿设施、加工目的地和运输组成,最终产生可销售的产品交付给客户和/或现货市场。要处理这样一个系统,传统的方法是按顺序对相关组成部分进行独立优化,而忽略了相关的不确定性。本文对采矿综合体的同步随机优化进行了扩展,以便在供应不确定性之外纳入设备不确定性。纳入多个组成部分和不同的不确定性来源,使优化能够充分利用采矿联合企业不同组成部分之间的协同效应,同时还能管理相关的技术风险并最大限度地提高净现值。在一个铜矿综合体中的应用展示了所建议方法的应用方面,该方法联合考虑了供应和设备的不确定性,与仅考虑供应不确定性的结果相比,该方法生成的资产寿命生产计划的净现值高出 2%。
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引用次数: 0
A modified approach for cut-off grade and production rate optimization in block caving projects 优化块体洞室项目边界品位和生产率的改进方法
Pub Date : 2024-07-26 DOI: 10.1177/25726668241264923
Mohammad Shami-Qalandari, M. Rahmanpour, Hassan Bakhshandeh Amnieh
Optimization of mining projects is often aimed at maximizing the net present value (NPV). Cut-off grade along with production rate determines the quantity and destination of material that is mined and processed. Thus, the cash flows and the NPV of a mining project are directly affected by the cut-off grade, the mineable reserve and the production rate. In order to achieve the maximum NPV, these factors must be evaluated. Block caving is a non-selective mass mining method. In block caving method, as the cut-off grade changes, the amount of mineable reserve, and the correlated mining envelope changes consequently. Determining the optimum cut-off grade and production rate for block cave mining is a complex task, therefore, artificial neural network (ANN) and response surface method (RSM) approaches are utilized in this paper. According to the results, a combination of RSM and ANN models is able to determine the best configuration of cut-off grade and production rate that leads to the maximum NPV.
采矿项目的优化通常以净现值(NPV)最大化为目标。边界品位和生产率决定了开采和加工材料的数量和目的地。因此,采矿项目的现金流和净现值直接受到边界品位、可开采储量和生产率的影响。为了实现最大净现值,必须对这些因素进行评估。块状崩落法是一种非选择性大规模采矿方法。在分块崩落法中,随着边界品位的变化,可开采储量和相关开采包络线也会随之变化。确定块体崩落采矿的最佳边界品位和生产率是一项复杂的任务,因此本文采用了人工神经网络(ANN)和响应面法(RSM)方法。结果表明,RSM 和 ANN 模型的组合能够确定最佳边界品位和生产率配置,从而获得最大净现值。
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引用次数: 0
Wet inrush susceptibility assessment at the Deep Ore Zone mine using a random forest machine learning model 使用随机森林机器学习模型评估深矿区矿井的湿侵蚀易发性
Pub Date : 2024-07-23 DOI: 10.1177/25726668241255442
Sahar Ghadirianniari, Scott McDougall, Erik Eberhardt, Jovian Varian, Karl Llewelyn, Ryan Campbell, Allan Moss
In cave mines, wet inrushes occur when there is an uncontrolled inflow of fine, wet material from drawpoints. Currently, uncertainty exists regarding the spatial-temporal pattern and severity of inrush incidents. This uncertainty arises from the limited understanding of wet inrush mechanisms within the complex conditions of a cave mine. In this study, the existing gaps in knowledge around the spatial and temporal patterns of inrush incidents were addressed using machine learning techniques. A random forest (RF) model was employed to analyse the inrush database collected at the Deep Ore Zone mine over several years. The conceptual understanding of inrush mechanisms and triggers, along with historical evidence, was employed to establish an initial set of key inrush variables to be used in the RF model. The developed RF model demonstrated promising performance with an accuracy of 85%. The feature importance results indicated that previous inrush history, fragment size, draw rate (short term and long term), differential draw index (short term and long term) and history of inrush at neighbouring drawpoints had the highest impact on inrush susceptibility. The insights gained provide an improved assessment of inrush susceptibility, thereby improving the strategies employed to mitigate inrush risk.
在洞穴矿井中,当细小的潮湿物质不受控制地从汲水点流入时,就会发生涌水。目前,关于涌水事故的时空模式和严重程度还存在不确定性。造成这种不确定性的原因是,人们对洞穴矿井复杂条件下的湿涌水机制了解有限。本研究利用机器学习技术解决了有关涌水事故时空模式的现有知识空白。采用随机森林(RF)模型分析了几年来在深矿区矿井收集的涌水数据库。通过对井喷机制和触发因素的概念性理解,并结合历史证据,建立了一套用于 RF 模型的初始关键井喷变量。所开发的射频模型表现出良好的性能,准确率达到 85%。特征重要性结果表明,以前的冲刷历史、片段大小、引水率(短期和长期)、差异引水指数(短期和长期)以及相邻引水点的冲刷历史对冲刷敏感性的影响最大。所获得的洞察力改进了对冲刷易感性的评估,从而改进了为降低冲刷风险而采用的策略。
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引用次数: 0
Development of an intelligent evolution algorithm for open pit mines’ long-term production scheduling using the concept of block aggregation 利用区块聚合概念为露天矿长期生产调度开发智能进化算法
Pub Date : 2024-06-13 DOI: 10.1177/25726668241256707
N. Azadi, Hossein Mirzaei-Nasirabad
The method described for production scheduling in this study is a simultaneous use of a clustering algorithm with a genetic algorithm (GA). The aggregating algorithm presented in this study aims to control the concentration of operations and the cluster size, which is evaluated using the Silhouette criterion. The fitness function and the chromosome length in the GA have differences from the usual one. The results showed the number of binary variables in a mixed-integer linear programming model was reduced by 78.5% based on the created clusters. Although the aggregated model's net present value (NPV) is decreased by 7%, the solution time significantly dropped from 3 h to 43.1 s. Also, compared to the non-clustering block model, the aggregated block model's NPV, obtained by GA, was improved.
本研究介绍的生产调度方法是同时使用聚类算法和遗传算法(GA)。本研究中介绍的聚类算法旨在控制操作的集中度和聚类的大小,聚类的大小使用 Silhouette 准则进行评估。GA 中的适应度函数和染色体长度与普通算法不同。结果表明,根据创建的簇,混合整数线性规划模型中的二进制变量数量减少了 78.5%。虽然聚类模型的净现值(NPV)降低了 7%,但求解时间却从 3 小时大幅降至 43.1 秒。此外,与非聚类块模型相比,聚类块模型通过 GA 得到的净现值也有所提高。
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引用次数: 0
A reinforcement learning approach for selecting infill drilling locations considering long-term production planning in mining complexes with supply uncertainty 考虑到供应不确定性的采矿联合企业的长期生产规划,选择填充钻井位置的强化学习方法
Pub Date : 2024-04-22 DOI: 10.1177/25726668241244930
Zachary Levinson, R. Dimitrakopoulos
Simultaneous stochastic optimisation frameworks provide a method for optimising long-term production schedules in mining complexes that aim to maximise net present value and manage risk related to supply uncertainty. The uncertainty and local variability related to the quality and quantity of material in the mineral deposits are modelled with a set of stochastic orebody simulations, an input into the simultaneous stochastic optimisation framework. Infill drilling provides opportunities to collect additional information associated with the mineral deposits, which can inform future production scheduling decisions. A framework is developed for optimising infill drilling locations with a criterion that seeks areas that directly affect long-term planning decisions and requires the use of geostatistical simulations. Actor-critic reinforcement learning is applied to identify infill drilling locations in a copper mining complex using this criterion. The case study demonstrates that adapting production scheduling decisions given additional information has the potential to improve the associated production and financial forecasts and identifies a stable area for infill drilling.
同步随机优化框架为采矿联合企业的长期生产计划优化提供了一种方法,该方法旨在实现净现值最大化并管理与供应不确定性相关的风险。与矿床材料质量和数量相关的不确定性和局部可变性是通过一套随机矿体模拟来模拟的,这是同步随机优化框架的输入。填充钻探为收集与矿床相关的更多信息提供了机会,这些信息可为未来的生产计划决策提供依据。该框架用于优化填充钻探位置,其标准是寻找直接影响长期规划决策的区域,并要求使用地质统计模拟。应用行为批判强化学习,利用这一标准确定铜矿综合体的填充钻探位置。案例研究表明,根据额外信息调整生产调度决策有可能改善相关的生产和财务预测,并为填充钻井确定一个稳定的区域。
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引用次数: 0
Towards a mining metaverse 迈向采矿元世界
Pub Date : 2024-04-17 DOI: 10.1177/25726668241242232
Phillip Stothard, Peter Ryan, Takeshi Kurata, Doug Stapleton
Access to persistent computer-generated virtual worlds may provide a powerful tool for conceptualising the mining cycle and managing the domains of exploration, feasibility, planning, design, construction, operations, rehabilitation, decommissioning and closure. Each domain presents a significant challenge to mine operations. Realisation of persistent virtual worlds that can be accessed by many simultaneously may be possible by leveraging Metaverse technologies to produce an ‘always on’ Mining Metaverse based on International Standards and industry collaboration. The realisation of a Mining Metaverse is a complex task because the Metaverse itself has many components and domains that must be managed effectively for it to be sustainable. This article introduces the complexity of the Metaverse components as a taxonomy and was inspired from collaborative work completed by the Standards Australia IT-031 Modelling and Simulation Committee and International Standards Organisation ISO/IEC JTC 1/SC 24 Committee. It is intended as a starting point for the mining industry towards understanding what the Mining Metaverse may be, and effectively embracing and managing this complex emerging technology in the future.
利用计算机生成的持久性虚拟世界可以为采矿周期的概念化和勘探、可行性、规划、设计、施工、运营、恢复、退役和关闭等领域的管理提供强有力的工具。每个领域都对矿山运营提出了重大挑战。在国际标准和行业合作的基础上,利用元宇宙技术创建一个 "永远在线 "的采矿元宇宙,可以实现多人同时访问的持久虚拟世界。实现采矿元世界是一项复杂的任务,因为元世界本身有许多组成部分和领域,必须对其进行有效管理才能使其可持续发展。本文以分类法的形式介绍了Metaverse组件的复杂性,其灵感来自澳大利亚标准IT-031建模与仿真委员会和国际标准化组织ISO/IEC JTC 1/SC 24委员会的合作成果。它旨在为采矿业提供一个起点,帮助采矿业了解什么是采矿元宇宙,并在未来有效地接受和管理这一复杂的新兴技术。
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引用次数: 0
High-order simulation of geological domains and effects on stochastic long-erm planning of mining complexes 地质区域的高阶模拟及其对采矿联合体随机长期规划的影响
Pub Date : 2024-04-13 DOI: 10.1177/25726668241241993
Daniel Morales, R. Dimitrakopoulos
Stochastic long-term mine planning has evolved to account for different sources of uncertainty. Typically, the uncertainty and local variability of boundaries in geological domains have been overlooked by experts through their deterministic interpretation of available data. Categorical attributes are used to model geological domains, and their stochastic simulation accounts for the mentioned issues. The ability of two-points simulation methods to reproduce complex patterns or the requirement of a training image in multiple-points simulation methods has limited their implementation in mining environments. The high-order simulation of categorical attributes presents a mathematically consistent framework that overcomes these limitations by using high-order spatial statistics from sample data. The case study at a gold mining complex shows two stochastic mine plans based on two sets of geological realisations: geological domains in the first set are modelled using conventional wireframes, while, in the second, they are simulated through the high-order method. The resulting mine plans are substantially different; while both plans present a similar quantity of metal recovered and lifespan, risk profiles are up to 40% wider, and the expected NPV is 20% higher for the case of simulated geological domains, given the decrease of waste handling costs and the corresponding reduction in environmental footprint.
随机长期矿山规划的发展是为了考虑不同的不确定性来源。通常情况下,专家们通过对现有数据的确定性解释,忽略了地质区域边界的不确定性和局部可变性。分类属性用于地质区域建模,其随机模拟考虑了上述问题。两点模拟方法复制复杂模式的能力或多点模拟方法对训练图像的要求限制了它们在采矿环境中的应用。分类属性的高阶模拟提出了一个数学上一致的框架,通过使用样本数据的高阶空间统计来克服这些限制。一个金矿综合体的案例研究显示了基于两组地质现实的两种随机采矿计划:第一组地质域使用传统的线框建模,而第二组则通过高阶方法进行模拟。由此得出的采矿计划大相径庭;虽然两个计划的金属回收量和寿命相近,但由于废物处理成本的降低和环境足迹的相应减少,模拟地质区域的风险概况最多扩大了 40%,预期净现值高出 20%。
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引用次数: 1
Joint stochastic optimisation of stope layout, production scheduling and access network 井口布局、生产调度和通道网络的联合随机优化
Pub Date : 2024-04-13 DOI: 10.1177/25726668241242230
Cristina Penadillo, R. Dimitrakopoulos, Mustafa Kumral
The three main optimisation components of sublevel stoping methods are stope layout, production schedule (or stope sequencing) and access networks. The joint optimisation of these components could further add value to an underground mining project. This potential has not been considered in the literature due to computational difficulties, and the problem was solved sequentially. This paper proposes a new joint optimisation model to integrate these components. In addition, the proposed optimisation model incorporates stochastic simulations to capture uncertainty and variability associated with the grades of the related mineral deposits mined. The optimisation model is based on a two-stage stochastic integer programming (SIP) formulation that maximises the project's net present value (NPV) and minimises the planned dilution. Applying the proposed method at a small copper deposit shows that the SIP outperforms the results obtained from mixed integer programming. For a seven-year mine life, the SIP model generated ∼20% more NPV, demonstrating the importance of developing a joint optimisation formulation and accounting for grade uncertainty and variability.
分层停采方法的三个主要优化要素是井口布置、生产计划(或井口排序)和通道网络。对这些部分进行联合优化可进一步增加地下采矿项目的价值。由于计算上的困难,文献中还没有考虑到这一潜力,而且问题是按顺序解决的。本文提出了一种新的联合优化模型来整合这些组件。此外,建议的优化模型还纳入了随机模拟,以捕捉与所开采的相关矿藏品位相关的不确定性和可变性。该优化模型以两阶段随机整数编程(SIP)公式为基础,使项目净现值(NPV)最大化,计划稀释度最小化。在一个小型铜矿床中应用所提出的方法,结果表明 SIP 优于混合整数编程的结果。对于七年的矿山寿命而言,SIP 模型产生的净现值要高出 20%,这说明了开发联合优化方案以及考虑品位不确定性和可变性的重要性。
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引用次数: 0
A machine vision approach for detecting changes in drill core textures using optical images 利用光学图像检测钻芯纹理变化的机器视觉方法
Pub Date : 2024-04-11 DOI: 10.1177/25726668241243265
Xiaomeng Gu, Nigel J. Cook, Andrew V. Metcalfe, Chris Aldrich
Drill core images offer valuable insights into the texture, structure and mineralogy of ores and their host rocks, which can be used to optimise downstream processes in the mining industry. The impact on downstream processes from particles of similar composition and mineralogy but different textures has been examined by several previous researchers through the application of supervised machine-learning techniques. This study proposes a novel approach for detecting changes in drill core textures through the analysis of optical images. This approach compares three widely used image feature extraction techniques (local binary patterns, grey-level co-occurrence matrix and convolutional neural network), followed by calculation of a uniqueness measure, based on the Hotelling statistic, designed to identify anomalous segments of core. The effectiveness of the uniqueness measure is validated on a test core comprising six sections with different textures. Two drill cores, from the Brukunga test site in South Australia, were selected as case studies. Of the three feature extraction methods, local binary patterns were found to give the strongest signals of change. There exist two main regimes that separate halfway along both drill cores, indicating a change in lithology or the presence of mineralisation.
钻孔岩心图像为了解矿石及其母岩的质地、结构和矿物学提供了宝贵的信息,可用于优化采矿业的下游工艺。之前有几位研究人员通过应用有监督的机器学习技术,研究了成分和矿物学相似但质地不同的颗粒对下游工艺的影响。本研究提出了一种通过分析光学图像来检测钻芯纹理变化的新方法。该方法比较了三种广泛使用的图像特征提取技术(局部二进制模式、灰度级共现矩阵和卷积神经网络),然后根据霍特林统计量计算唯一性度量,旨在识别异常的岩心片段。唯一性测量方法的有效性在由六个不同纹理的岩心段组成的测试岩心上得到了验证。案例研究选择了南澳大利亚 Brukunga 试验场的两块钻芯。结果发现,在三种特征提取方法中,局部二元模式的变化信号最强。在两个钻探岩心的中途存在两个主要的分离体系,表明岩性发生了变化或存在矿化现象。
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引用次数: 0
Analysis of induced stress during construction and production stages of drawbells in block caving mines 块式崩落矿井拉铃施工和生产阶段的诱导应力分析
Pub Date : 2024-04-03 DOI: 10.1177/25726668241241989
Nadia Bustos, Ernesto Villaescusa, Fernando García
Drawbells are large constructions that allow the flow of the broken ore at the production level within the drawpoints. The results of drawbell construction are crucial for a successful mine plan extraction in a block caving mine. Analysis and integration of all the topics related to a drawbell can improve the performance of the surrounding area of drawbells, particularly the damage associated to induced stress during the different stages of a block caving operation. The improvement of operational aspects related to the drawbells would decrease the risk of failure, particularly in deep mines subject to large stresses, which are more likely to experience sudden violent or progressive failure. A large-scale numerical model was developed to analyse different mining sectors using sub-models. It was found that the geotechnical response is highly correlated to the stress field, which also controlled the resulting seismicity. In a scale of a drawbell, the drawpoint drift roof and the bridge pillar between the drawbell and the undercutting level were found the most critical zones in the design. When geological structures are present, they can be activated in the construction at an earlier stage and, therefore, could easily become critical in the resulting rock mass damage.
拉铃是一种大型建筑,可使破碎的矿石在生产层面上的拉点内流动。在块状崩落矿井中,拉铃构造的结果对矿井计划的成功开采至关重要。对与拉铃相关的所有问题进行分析和整合,可以改善拉铃周围区域的性能,特别是在块状崩落作业的不同阶段与诱导应力相关的损坏。改进与拉铃相关的操作方面将降低失效风险,尤其是在承受巨大应力的深层矿井中,因为这些矿井更有可能发生突然的剧烈失效或渐进失效。开发了一个大型数值模型,利用子模型对不同的采矿部门进行分析。研究发现,岩土反应与应力场高度相关,应力场也控制着由此产生的地震。在拉铃规模中,拉点漂移顶板和拉铃与下切水平之间的桥柱被认为是设计中最关键的区域。当地质结构存在时,它们会在施工的早期阶段被激活,因此很容易成为造成岩体破坏的关键。
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引用次数: 0
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Mining Technology: Transactions of the Institutions of Mining and Metallurgy
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