摘要
为了研究湖泊水体年龄与水体中放射性同位素浓度之间的定量关系,运用数学物理方法给出了湖泊水体年龄展开为湖泊水体中放射性同位素浓度的函数表达式.在介绍年龄输运方程概念及其意义的基础上,以微分方程为分析工具,根据质量守恒原理和放射性衰变原理,利用微元法分别推导了湖泊水体的年龄输运方程和湖泊水体中放射性同位素浓度的变化规律,并给出了各自的解析解;在此两者的基础上给出了湖泊水体年龄与水体中放射性同位素浓度之间的函数关系.
The age of lake water body was expressed as a function of the concentration of radioactive isotopes in the water body by use of the math-physical method for research of the quantitative relationship between the two factors. Based on an introduction of the concept of the age-transport equation and the principles of mass conservation and radioactive decay, the differential equation was taken as the diagnostic tool for derivation of the age-transport equation of lake water and the variation regularity of the concentration of radioactive isotopes in the water body, and their analytic solutions were obtained. Then, the relationship between the age of lake water body and the concentration of radioactive isotopes in the water body was derived.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第6期647-650,共4页
Journal of Hohai University(Natural Sciences)
基金
国家自然科学基金资助项目(50579017)
关键词
湖泊
年龄输运方程
放射性同位素浓度
水体年龄
lake
age-transport equation
concentration of radioactive isotope
age of water body
