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熵,是描述热力学系统平衡态的一个状态函数。为确定铜产品生命周期中含铜物质的聚集和散失程度,将热力学中“熵”这一指标引入到物流分析中,给出了物流分析中“熵”的分布及其计算方法,在中国2005年铜产品生命周期分析的基础上,计算了铜循环整个过程中,即精炼铜的生产阶段、铜制品的加工制造阶段、铜制品的使用阶段和报废铜制品的回收阶段的熵的变化,得到5个节点处的相对熵值分别为0.25596,0.04562,0.23690,0.60470和0.24866,整个过程中的相对熵变化率为-2.85%,即经过一个生命周期,含铜物质聚集度在提高,并与2002年铜产品生命周期的熵分析结果进行了比较。在2005年铜产品生命周期熵分析的基础上,通过两种不同技术指标下的情景分析,得出了减少采、选矿环节和熔炼环节尾矿和熔渣中铜的损失量,提高报废铜制品的回收率和折旧废铜的含铜百分比等措施,将会有效地降低铜产品生命周期的熵值增加。相信随着物质流分析方法和理论研究的进一步深入,熵在物质流分析中的应用范围和程度也会愈来愈广泛和深入。
Entropy is a state function that describes the equilibrium of a thermodynamic system. In order to determine the degree of aggregation and dissipation of copper-containing substances in the life cycle of copper products, the index “ entropy ” in thermodynamics is introduced into the logistics analysis, and the distribution of “entropy ” in logistics analysis and its calculation method are given Based on the analysis of the copper product life cycle in China in 2005, the entropy of the copper cycle in the whole process of the copper cycle is calculated, that is, the production of refined copper, the manufacture of copper products, the use of copper products and the recovery of scrapped copper products. The relative entropy values at the 5 nodes were 0.25596, 0.04562, 0.23690, 0.60470 and 0.24866, respectively. The relative entropy change rate was -2.85% in the whole process, that is, after one life cycle, the aggregation degree of copper-containing substances increased , And compared with the entropy analysis results of copper product life cycle in 2002. Based on the life cycle entropy analysis of copper products in 2005, the author analyzed the scenarios under two different technical indexes, and obtained the results of reducing the loss of copper in tailings and slag in the mining and beneficiation processes and in the smelting process, and improving the scrapped copper products Recovery rate and copper content of depreciated scrap copper and other measures, will effectively reduce the life cycle of copper products increased entropy. It is believed that with the further study of material flow analysis methods and theoretical studies, the scope and degree of entropy applied to material flow analysis will be more and more extensive and in-depth.