This paper presents a simple relationship for estimating the uncertainty in the overall yield and species recovery when the two-product formula is applied to assays of the feed, product and tailings streams of a steady-state mineral separator. The non-linearity of the two-product formula means the reliability of these yield and recovery values can vary significantly. Formal treatment of the problem provides a generalized, albeit complex, expression for the uncertainty (), limited to relatively small input disturbances. This paper explores the problem further using Monte Carlo simulations, covering the effects of relatively small through to relatively large input disturbances. Assay values for the feed, , product, , and tailings, , were assumed to have the same relative uncertainty. The work focussed on the amplification in the uncertainty of the yield, , and recovery, , resulting in very simple expressions, ∼ /| – | and ∼ /| – |.

中文翻译：

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使用二乘积公式计算的稳态选矿器产量和回收率的不确定性放大


本文提出了一种简单的关系，用于估计当双产品公式应用于稳态选矿机的进料、产品和尾矿流分析时总体产量和物种回收率的不确定性。双产品公式的非线性意味着这些收率和回收率值的可靠性可能会有很大差异。该问题的正式处理为不确定性 () 提供了一种通用但复杂的表达式，仅限于相对较小的输入扰动。本文使用蒙特卡罗模拟进一步探讨了该问题，涵盖了相对较小到相对较大的输入扰动的影响。假定进料 、产品 和尾矿 的测定值具有相同的相对不确定度。这项工作的重点是放大产量 和回收率 的不确定性，从而得到非常简单的表达式 ∼ /| – |和〜/| –|。