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Two-dimensional dynamic model of a copper sulfide ore bed

机译:硫化铜矿床的二维动力学模型

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摘要

A two dimensional dynamic model for bio-leaching of secondary copper minerals in piles has been developed. In the model, the aeration of the pile is considered to be caused by natural convection due to the density gradients of the air within the bed. In addition, forced aeration through of parallel channels at the bottom of the piles is included. The rate of the mineral sulphide dissolution is modelled according to the unreacted core model. Film diffusion, diffusion within the particle and reaction kinetics are considered to calculate the transport of ferric from the surface to the reaction zone. The rate of oxidation by bacteria attached onto the ore surface is modelled using the Michaelis-Menten relationship. The influence of the temperature, dissolved ferric iron and dissolved oxygen in the leaching solution are considered in the kinetic formulation. The set of parabolic and elliptic partial differential equations of the model is solved by using the FEMLAB~R software. The software was also tested with other simpler models in order to assess its capability and weakness. The model was used to study the influence of process variables on the copper recovery in the pile with time. This model represents a useful tool to aid the design and optimisation of industrial operations.
机译:建立了用于桩中次生铜矿物生物浸出的二维动力学模型。在该模型中,由于床内空气的密度梯度,桩的充气被认为是自然对流引起的。此外,还包括通过桩底部平行通道的强制通气。根据未反应的岩心模型对矿物硫化物的溶解速率进行建模。考虑膜的扩散,颗粒内的扩散和反应动力学来计算三价铁从表面到反应区的传输。使用Michaelis-Menten关系可以模拟附着在矿石表面的细菌的氧化速率。在动力学配方中考虑了温度,浸出溶液中溶解的三价铁和溶解氧的影响。使用FEMLAB〜R软件求解该模型的抛物线和椭圆形偏微分方程组。为了评估其功能和弱点,还对该软件进行了其他更简单的模型测试。该模型用于研究工艺变量对堆中铜回收率随时间的影响。该模型代表了有助于工业设计和优化的有用工具。

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