Modeling controlled nutrient release from polymer coated fertilizers: Diffusion release from single granules
Modeling controlled nutrient release from polymer coated fertilizers: Diffusion release from single granules
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DOI：
10.1021/es011462v
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发表时间：
2003-05-15
影响因子：
11.4
通讯作者：
Zaidel, E
中科院分区：
文献类型：
--
作者：
Shaviv, A;Raban, S;Zaidel, E
提出了一个描述包膜控释肥料（CRFs）单颗粒释放的复杂和“非Fickian”（数学非线性）性质的综合模型，该模型由三个阶段组成：i.滞后期，在该滞后期期间，水渗透颗粒的涂层，将固体肥料的一部分溶解在其中; ii.线性释放的时间段，在该时间段期间伴随发生水渗透进入和释放出，而颗粒的总体积几乎保持恒定;和iii.一段时间的“衰减释放”，从颗粒内的浓度开始降低开始。基于水汽和养分扩散方程建立了数学模型。该模型预测的释放阶段的可测量的几何和化学物理参数，如以下：颗粒半径和涂层厚度的产品，水和溶质的渗透性，饱和浓度的肥料，和它的密度。该模型成功地预测了复杂的和“S形”的释放模式，这是必不可少的匹配植物的时间需求，以确保高农艺和环境效益。它还适用于更复杂的统计公式，这些公式解释了大量涂层CRF中的大变异性，并可用于进一步改善OF生产和性能。
comprehensive model describing the complex and "non-Fickian" (mathematically nonlinear) nature of the release from single granules of membrane coated, controlled release fertilizers (CRFs) is proposed consisting of three stages: i. a lag period during which water penetrates the coating of the granule dissolving part of the solid fertilizer in it; ii. a period of linear release during which water penetration into and release out occur concomitantly while the total volume of the granules remains practically constant; and iii. a period of "decaying release", starting as the concentration inside the granule starts to decrease. A mathematical model was developed based on vapor and nutrient diffusion equations. The model predicts the release stages in terms of measurable geometrical and chemophysical parameters such as the following: the product of granule radius and coating thickness, water and solute permeability, saturation concentration of the fertilizer, and its density. The model successfully predicts the complex and "sigmoidal" pattern of release that is essential for matching plant temporal demand to ensure high agronomic and environmental effectiveness. It also lends itself to more complex statistical formulations which account for the large variability within large populations of coated CRFs and can serve for further improving OF production and performance.