小溶解度核素在孔隙介质地下水中迁移数学模型的修正

辐射防护 ›› 2014, Vol. 34 ›› Issue (3): 129-133.

小溶解度核素在孔隙介质地下水中迁移数学模型的修正

王铁良¹, 张建鑫¹, 曹渊^1,2

1.西北核技术研究所,西安 710024;
2.长安大学,西安 710054

收稿日期:2012-09-25 出版日期:2014-05-20 发布日期:2025-01-24
作者简介:王铁良(1966—),男,1989年毕业于北京大学计算数学专业,副研究员。E-mail: wangtieliang@nint.ac.cn

Modified Mathematic Model of Low Solubility Nuclide Migration in Porous Media

Wang Tieliang¹, Zhang Jianxin¹, Cao Yuan^1,2

1. Northwest Institute of Nuclear Technology, Xi'an 710024;
2. Chang'an University, Xi'an 710054

Received:2012-09-25 Online:2014-05-20 Published:2025-01-24

摘要/Abstract

摘要： 数值模拟粉末状小溶解度放射性废物在地下水中迁移问题时,如果简单地采用孔隙介质核素迁移基本模型的吸附关系式,可能会出现地下水中核素浓度超过溶解度的现象。本文针对线性可逆吸附模式,在考虑核素溶解度限制的基础上,对一般的数学模型进行了修正。对一个假设的算例进行了模拟,模拟结果验证了修正模型的合理性,即当核素溶解度小而在介质中初始浓度较大时,利用修正模型数值模拟该核素迁移问题,不会出现水中核素浓度超过其溶解度的现象,当核素在介质中初始浓度较小时,修正模型的模拟结果与以往模型的模拟结果是完全一致的。

关键词: 地下水, 核素迁移, 溶解度

Abstract: When the general sorption relations between nuclide concentration dissolving in groundwater and that in solid phase are used to simulating farinose low solubility radioactive waste migration, an unreasonable result that the nuclide concentration in groundwater is larger than its solubility may occur. The model including the reversible linear sorption relation is considered in this paper. The general model is modified by taking the solubility limit into account. A hypothetical calculating example is numerically simulated by the modified model and the general model respectively. The result testifies the rationality of the modified model, that is, the phenomena of nuclide concentration larger than the solubility will not happen even if the initial nuclide concentration in solid phase is very large. When the initial concentration of nuclide is small enough, the simulating result of the modified model is consistent with the result of the general model.

Key words: groundwater, radionuclide migration, solubility

中图分类号:

王铁良, 张建鑫, 曹渊. 小溶解度核素在孔隙介质地下水中迁移数学模型的修正[J]. 辐射防护, 2014, 34(3): 129-133.

Wang Tieliang, Zhang Jianxin, Cao Yuan. Modified Mathematic Model of Low Solubility Nuclide Migration in Porous Media[J]. RADIATION PROTECTION, 2014, 34(3): 129-133.

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