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Mathematical Models of Potassium Release Kinetics for Sonoran Desert Soils of Arizona

机译:亚利桑那州索诺兰沙漠土壤钾释放动力学的数学模型

摘要

The objective of this study was to determine the potassium (K) release kinetics of clay samples from 10 agricultural representative soils of Arizona by successive extraction using Ca-saturated cation resin. A 1993 physical and chemical characterization of the soils revealed that all soils contain smectite-mica K bearing minerals. Four mathematical models (power function, Elovich, parabolic diffusion and first-order) were used to describe the nonexchangeable K release reaction involving 700-hr cumulative reaction time. Comparison of the models using the coefficient of determination (r²) and the standard error of the estimate (SE) indicated that the Elovich and the power function equations overall displayed the best fit. The first-order rate and for the most part, the parabolic diffusion equation did not describe the K release very well. The constants a and b for the Elovich and the power function equations, which represent the intercept and the release rate of the nonexchangeable K respectively, are at least in the order of magnitude as those found by others in several previous studies.
机译:这项研究的目的是通过使用Ca饱和阳离子树脂连续萃取来确定亚利桑那州10种农业代表性土壤中粘土样品的钾(K)释放动力学。 1993年对土壤的物理和化学特性表明,所有土壤均含有蒙皂石-云母K矿物。四个数学模型(幂函数,Elovich,抛物线扩散和一阶)用于描述涉及700小时累积反应时间的不可交换的K释放反应。使用确定系数(r²)和估计的标准误差(SE)对模型进行比较,表明Elovich和幂函数方程总体上显示最佳拟合。一级速率以及大部分情况下,抛物线扩散方程不能很好地描述钾的释放。 Elovich和幂函数方程的常数a和b分别代表不可交换K的截距和释放速率,至少与其他几项先前研究中发现的常数处于数量级。

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