摘要
本文应用系统理论，建立了水质多参数输入输出之间的响应关系；根据河流水文水质变化特点和参数反问题的需求，建立了水质常微分方程多参数反问题模型．根据常微分方程参数反问题的数学理论，作者给出了两参数和多参数水质常微分方程反问题的解的存在性、唯一性的理论证明过程和结论；还针对水质现有监测资料的测验误差和插值近似计算误差造成参数反问题的不稳定性，将三次样条插值函数、超定方程最小二乘法和正则化算法有机地结合使用，成功地给出了水质参数反问题的稳定化算法．最后给出了应用计算结果．
The water quality respond relation of input output measurements are established by systematic theory in this paper.According to the peculiarity of hydrology and the necessity of water quality inverse problem the multi parameter inverse problem model based on ordinary differential equation is developed.The existence and uniqueness of the solution of the ordinary differential equation about two parameters or multi parameter are to be proved.The unstability depending on errors between monitoring data and interpolation approximate data are analyzed and demonstrated.Cubic spline interpolation function,the least two multiply and positive rule method are conjoined for obtained solution of multi parameter.The results from this algorithm indicats its efficient to the multi parameter identification in water quality modeling.
出处
《水利学报》
EI
CSCD
北大核心
1998年第6期46-52,共7页
Journal of Hydraulic Engineering
基金
国家自然科学基金
关键词
水质模型
多参数辩识
反演算法
water quality, multi parameter identification, inverse algorithm.
