| 河道水体中氢氧稳定同位素组成的微分方程模型 |
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| 引用本文： | 童海滨,陈建生,汪集旸.河道水体中氢氧稳定同位素组成的微分方程模型[J].水科学进展,2007,18(4):552-557. |
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| 作者姓名： | 童海滨 陈建生 汪集旸 |
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| 作者单位： | 1.河海大学水文水资源学院, 江苏, 南京, 210098; |
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| 基金项目： | 国际原子能机构TC资助项目;国家自然科学基金;国家自然科学基金;江苏省六大人才高峰基金 |
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| 摘 要： | 介绍了前人提出并被广泛应用的瑞利分馏模型,指出了其优缺点。针对其不足,在作了一定的假定和简化的前提下,基于瑞利分馏原理和水力学基本定律分别推导了:①静止水体的氢氧稳定同位素组成随时间变化的微分方程模型,揭示了静止水体的同位素组成与时间、分馏系数和蒸发率之间的关系;②河道中运动水体的同位素组成随时间和空间变化的微分方程模型,导出了河道运动水体中稳定同位素组成与分馏系数、流速、流量、蒸发率之间的定量关系。最后通过数学推导论述了上述各模型之间的内在联系。上述模型的建立为定量计算和精确模拟运动水体中氢氧稳定同位素组成的变化提供了确定性的数学基础,也为更客观、更充分的解译水的稳定同位素数据提供了帮助。
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| 关 键 词： | 氢氧 稳定同位素 微分方程 瑞利分馏原理 运动水体 |
| 文章编号： | 1001-6791（2007）04-0552-06 |
| 收稿时间： | 2006-04-03 |
| 修稿时间： | 2006-04-032006-07-14 |
Differential equation model for river water with Hydrogen and Oxygen's stable isotope composition |
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| TONG Hai-bin,CHEN Jian-sheng,WANG Ji-yang.Differential equation model for river water with Hydrogen and Oxygen''''s stable isotope composition[J].Advances in Water Science,2007,18(4):552-557. |
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| Authors: | TONG Hai-bin CHEN Jian-sheng WANG Ji-yang |
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| Institution: | 1.College of Hydrology and Water Resource, Hohai University, Nanjing 210098, China;2.Institute of Isotope Research, Hohai University, Nanjing 210098, China;3.Research Institute of Science and Technology, Chinese Academy of Sciences, Beijing 100018, China |
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| Abstract: | First,the widely used Rayleigh-Model founded by predecessor is introduced and its merits and drawbacks are pointed out.Having noticed its drawbacks and made some assumptions and simplifications,the following two models are deduced based on basic law of hydraulics and Rayleigh fractional principle:(1)the differential equation model for the stable isotope composition that varies with time in static water body,which discloses the relationship among stable isotope composition in static water body,the fractional factor and the evaporation rate,and(2) the differential equation model for stable isotope composition that varies with time and space of the kinetic water body in the river,which describes the quantitative relations among the flowing river water's hydrogen and oxygen's stable isotope composition,the fractionation factor,the fluid velocity and flux.In the end,the inner link among these three models is presented through the mathematical deduction.The proposal of these models makes it possible to simulate the river water's stable isotope composition quantitatively and gives help to interpret more objectively and more sufficiently the information included in the stable isotope data of water. |
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| Keywords: | Hydrogen and Oxygen stable isotope differential equation model Rayleigh fractional principle kinetic water body |
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