摘要
为了实现河流水质的细粒度监测,以对流扩散方程为基础,构建细小水段的水质关系模型,在空间维度上对流域水质进行预测。首先,求解一维对流扩散方程的显示差分解、隐式差分解和解析解(也叫精确解),构建出以一定的时间步长和空间步长为单位的细小水段水质关系模型,并对这些方法的精度进行验证。然后,依据木兰溪的实际水文情况,以某段为例,按照构建的对流扩散水质预测模型,求解该河段中某时刻各个节点的污染物浓度,实现该河段水质的细粒度预测,通过该应用验证隐式差分法具有较高的精度,使用隐式差分法进行空间维度预测具有一定可行性。
In order to realize fine-grained monitoring of river water quality,water quality relationship model of small water segment was constructed based on convection diffusion equation,and the water quality of the basin was predicted in spatial dimension.Firstly,the explicit difference decomposition,implicit difference decomposition and analytical solution(also called exact solution)of one-dimensional convection-diffusion equation were solved,and the water quality relationship model of small water segment in a certain unit of time step and space step was constructed,and the precision of those methods was verified.Then,according to the actual hydrological situation of Mulan River,the pollutant concentration value of each node in the river segment at a certain time was solved as an example to achieve fine-grained prediction of the water quality of the said river segment.Through this application,it is verified that the implicit difference decomposition method has a high accuracy,and the use of the implicit difference decomposition method for spatial dimension prediction is feasible.
作者
张晨璐
宋金玲
康燕
张经武
樊刘炎
ZHANG Chenlu;SONG Jinling;KANG Yan;ZHANG Jingwu;FAN Liuyan(School of Mathematics and Information Technology,Hebei Normal University of Science and Technology,Hebei Agricultural Data Intelligent Perception andApplication Technology Innovation Center,Qinhuangdao 066004,China)
出处
《工业用水与废水》
CAS
2024年第1期54-59,80,共7页
Industrial Water & Wastewater
基金
河北省省级科技计划资助项目(21370103D,21373301D)
2023年度河北省高等学校科学研究项目(ZC2023123)
河北省软件工程重点实验室项目(22567637H)
河北省软件工程重点实验室开放课题(KF2307)。
关键词
水污染
水质预测
对流扩散方程
数值模拟
空间维度
隐式差分法
解析法
water pollution
water quality predication
convection diffusion equation
numerical simulation
spatial dimension
implicit difference decomposition
analytical method
