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在反应堆中,组成材料的稳定核素经受强中子辐照后,会被活化成放射性核素。这些核素及其衰变产物对工作人员的职业辐照剂量具有重要贡献。为了更好地进行人员的辐射防护工作,需要对放射性核素的存量进行精确计算。相对于核素平衡方程的其它求解方法,切比雪夫有理逼近方法(Chebyshev Rational Approximation Method,CRAM)在计算精度和效率方面具有综合性优势。首先介绍了CRAM的基本理论,随后选取典型的例题进行了测试验证。与解析解对比的结果表明,采用CRAM进行中子辐照下的核素活化衰变计算能够取得不错的效果,但是用于核素长期衰变计算可能导致计算错误。针对此问题,将收缩乘方技术与CRAM相结合,取得了正确的计算结果,拓展了CRAM的适用范围。
In the reactor, stable nuclides that make up the material undergo strong neutron irradiation and are then activated into radionuclides. These nuclides and their decay products make a significant contribution to the occupational exposure of workers. In order to better perform personnel radiation protection work, the stock of radionuclides needs to be accurately calculated. Compared with other solving methods of the equilibrium equation of the radionuclides, the Chebyshev Rational Approximation Method (CRAM) has a comprehensive advantage in terms of calculation accuracy and efficiency. First introduced the basic theory of CRAM, followed by the selection of a typical example of the test validation. Compared with the analytical solution, the results show that using CRAM to calculate the radionuclide activation decay can achieve good results, but the calculation of long-term decay of radionuclides may lead to calculation errors. In response to this problem, the combination of shrinking power and CRAM has achieved the correct calculation results and expanded the scope of application of CRAM.