基于Q级联理论估算同位素生产的成本

Cost Evaluation for Production of Isotopes-Based on Theory of Model Q-cascade

  • 摘要: 在决定某种同位素的生产之前,有必要进行生产的经济性分析,以了解和确保生产的经济可行性。本文给出一种用离心法生产非铀同位素的成本分析方法。利用Q模型级联(简称Q级联)理论得到同位素分离的原料利用率与级联相对总流量的关系。通过利用公开的离心法铀同位素分离的单位分离功价格数据,避免生产成本分析中涉及分离单元成本和人员成本等多个复杂因素,在假定分离部分成本正比于分离工厂规模情况下,导出了成本分析的简单公式,可根据原料成本、铀单位分离功价格、原料利用率等对产品成本进行评估和优化。并以铅同位素208Pb的生产为例,对成本分析的过程进行了阐述。结果表明:利用本文的方法,成本分析简单易行。

     

    Abstract: Prior to making a decision to produce an isotope, it is necessary to investigate the economy of the production to understand and ensure its economic feasibility. A method of analyzing the production of a non-uranium isotope by centrifugation was presented in the paper. The relationship between the material recovery and the cascade relative total flow was obtained by using the theory of the model Q-cascade. Based on the data of the cost per unit SWU (separative work unit) openly available for uranium separation, to avoid involving many factors such as the separation unit cost and the personnel cost in the analysis, a simple formula for the cost analysis was derived under the assumption that the cost for separation was proportional to the scale of the production plant. The formula can be easily applied to the evaluation and optimization of the production cost of an isotope according to the material cost, unit separative cost for uranium separation, material recovery, etc. Taking the production of the lead isotope 208Pb as an example, the analysis process was explained. The results show that the cost evaluation is simple and easy to be carried out by using the method proposed here.

     

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