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土壤中铜的老化是指土壤中外源铜的生物有效性或毒性、同位素可交换性及化学有效性随时间降低的过程.此前Ma等提出了两个半机理模型,并分别预测了铜在土壤中的短期和长期老化作用.本文在探讨土壤中铜的老化规律及影响因素的基础上,通过对Ma等的两个半机理模型进行整合与修正,结合Crank对扩散过程的描述,发现利用余补误差函数可以模拟土壤中铜老化的微孔扩散过程的短期(扩散作用与时间的平方根线性相关)和长期行为(扩散作用与时间的自然对数线性相关),解决了土壤中铜短期和长期老化模型之间缺少连续性的问题.本模型考虑了土壤p H及老化时间对老化作用的影响,这两个因素均与老化作用呈正相关,相较于Ma等此前提出的半机理模型,本模型可获得更为准确的预测结果.
Aging of copper in soil refers to the biological availability or toxicity of exogenous copper in the soil, the exchangeability of isotopes, and the reduction of chemical effectiveness over time. Ma et al. Proposed two semi-mechanistic models and predicted the effects of copper on soil In the short-term and long-term aging.In this paper, on the basis of discussing the rule of aging of copper in soil and influencing factors, by integrating and modifying two half-mechanistic models of Ma et al and combining Crank’s description of diffusion process, The compensation error function can simulate the short-term (diffusion-related square root of diffusion versus time) and long-term behavior (diffusivity is linearly related to the natural logarithm of time) of copper-aged micropores in soils, This model considers the effect of soil pH and aging time on the aging effect, both of which are positively correlated with the aging effect. Compared with the semi-mechanism model previously proposed by Ma et al The model yields more accurate predictions.