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连续磨矿产品解离频谱的计算是一个至关重要又难以解决的问题,因为总体平衡方程需要在二维空间积分。完全解决这一问题需要对脆性颗粒经碰撞破裂时其破裂模式与矿石结构间的相互关系具有非常详细的了解。迄今已提出的各种解离模型多适用于批次磨矿过程,在该条件下的解离问题可孤立地进行研究。如果磨矿是连续的,且构成了包括分级、分选作业选矿流程的一个单元作业时,情形则截然不同,此时需要对已知矿物组成的个别颗粒破裂时矿物的解离进行描述。工业上重要的连续磨矿作业通常是与水力旋流器构成闭路的磨矿回路以及浮选厂中的再磨系统。本文提出了一种计算连续磨矿产品矿物解离频谱的有效算法。该算法的基础是Andrews-Mika相图的详细内部结构。将该相图用于实际矿石时需要校正,其内部结构可由单一粒度、单一品级物料的单个颗粒的破碎来确定,但同时需要选择适当的解离模型来表示总体平衡计算中所需的截面转换系数。由Leroux(1992)和King(1990)所提出的模型与试验数据较为接近。
The calculation of the dissociation spectrum of the continuous grinding product is a crucial and difficult problem to be solved because the overall equilibrium equation needs to be integrated in two dimensions. A complete solution to this problem requires a very detailed understanding of the relationship between the rupture mode of brittle particles and the structure of the ore upon collision-rupture. The various dissociation models that have been proposed so far are mostly applicable to the batch grinding process and the problem of dissociation under these conditions can be studied in isolation. The situation is quite different if the grinding is continuous and constitutes a unit operation involving the grading and sorting process, in which case the dissociation of minerals at the time of breaking of individual particles of known mineral composition needs to be described. Industrially important continuous grinding operations are usually grinding circuits that form a closed circuit with hydrocyclones and regrinding systems in flotation plants. This paper presents an efficient algorithm for calculating the mineral dissociation spectrum of continuous grinding products. The algorithm is based on the detailed internal structure of the Andrews-Mika phase diagram. Correcting this phase diagram for the actual ore requires that its internal structure be determined by the single particle size, the fragmentation of individual particles of a single grade material, but at the same time the appropriate dissociation model needs to be chosen to represent the desired cross-section transition in the overall balance calculation coefficient. The model proposed by Leroux (1992) and King (1990) is closer to the experimental data.