工业用水与废水2024,Vol.55Issue(1) :54-59,80.

基于对流扩散方程的水质预测模型研究

A study of water quality prediction model based on convection diffusion equation

张晨璐 宋金玲 康燕 张经武 樊刘炎
工业用水与废水2024,Vol.55Issue(1) :54-59,80.

基于对流扩散方程的水质预测模型研究

A study of water quality prediction model based on convection diffusion equation

张晨璐 1宋金玲 1康燕 1张经武 1樊刘炎1
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作者信息

  • 1. 河北科技师范学院 数学与信息科技学院 河北省农业数据智能感知与应用技术创新中心,河北 秦皇岛 066004
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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.

Abstract

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 decomposi-tion 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.

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

Key words

water pollution/water quality predication/convection diffusion equation/numerical simulation/spatial dimension/implicit difference decomposition/analytical method

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基金项目

河北省省级科技计划资助项目(21370103D)

河北省省级科技计划资助项目(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)

出版年

2024
工业用水与废水
东化工程科技股份有限公司

工业用水与废水

CSTPCD
影响因子:0.649
ISSN:1009-2455
参考文献量12
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