摘要
拟线性化方法是基于溶质运移“穿透曲线”(BTC)数据估计对流-弥散方程(CDE)中运移参数。该方法运用任意两个时刻浓度导数(dc/dt)与参数之间的函数关系,通过求解一个随参数单调增减的非线性方程,推导出关于时间的拟线性化参数估计方程。依据该线性化方程拟合的直线截距和斜率确定溶质运移参数。通过一组设计参数获得的BTC,应用拟线性法求解溶质运移参数并与设计参数比较,证明用该方法估计参数具有较好精度。设计数据还被用于讨论剔除浓度导数(dc/dt)峰值段误差较大数据以改善参数估计精度的方法。拟线性化方法用于估计红壤和水稻土中SO4-2运移参数,其结果与CXTFIT法和等斜率法估计参数具有较好的一致性。
A quasi-linear parameter estimation method based on convection-dispersion equation is proposed to determine the parameters of solute transport in porous. The derivative of the ratio of flux concentration to time, dc/dt, is obtained from the data of breakthrough curve（BTC） for solute transport in a semiinfinite porous column. The quasi-linear formula of transport parameter estimation is derived from the relationship between dc/dt and transport parameter. Solute transport parameters are determined by the gradient and intercept of the fitted lines in the data plotting. Several hypothetic breakthrough curves with different Pectle values are used to test the estimation model and investigate the rejecting error data near the peak of dc/dt according to the linear trend characteristic in order to improve the precision of the estimation. The accuracy of the proposed method is verified by comparing with other two currently widely used methods.
出处
《水利学报》
EI
CSCD
北大核心
2005年第12期1445-1449,共5页
Journal of Hydraulic Engineering
基金
国家重点实验室基金项目资助(10501-129)
关键词
多孔介质
溶质运移
参数估计
拟线性化
porous
solute transport
parameter estimation
quasi-linear method
