Analytical solutions of the transient state oxygen diffusion equation in soils with a production term
Analytical solutions of the transient state oxygen diffusion equation in soils with a production term
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含生产项的土壤瞬态氧扩散方程的解析解
DOI：
10.1111/j.1439-037x.1986.tb00013.x
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发表时间：
1986
影响因子：
3.5
通讯作者：
R. Kanwar
中科院分区：
文献类型：
--
作者：
R. Kanwar
人们开发了解析解来描述氧从大气到土壤介质的非稳态输送。这些分析是基于氧气在土壤中的扩散理论，当氧气被消耗时，要么以恒定的速率消耗，要么由于土壤介质中不断发生的生物和化学过程而随时间变化。建立了输运方程、初始条件和边界条件来表示场的情况。得到了计算土壤剖面中瞬态氧浓度的解析解。用这种方法也可以求出任何时候从大气中扩散到土壤中的氧的量t。与已发表的数据进行了比较，从解析解中计算出的不同深度和时间的氧浓度与实际测量的氧浓度相当吻合。
Analytical solutions were developed to describe the nonsteady-state transport of oxygen from the atmosphere into the soil media. These analyses are based on diffusion theory for oxygen diffusion in soils when oxygen is being consumed, either at a constant rate or consumption rate varies with time due to the biological and chemical processes occurring continuously in the soil media. The transport equations, and the initial and boundary conditions are set up to represent a field situation. Analytical solutions are obtained to calculate transient oxygen concentrations in the soil profile. The quantity of oxygen that might diffuse into the soil from atmosphere at any time, t, also can be found by using this method. Comparison with published data is made, and reasonably good agreement is obtained between oxygen concentrations at different depths and times computed from the analytical solutions and those actually measured.