分析二维河流水质试验数据的相关系数极值法  

Correlation coefficient extreme method for analyzing the 2-D data of water quality experiment of river stream

作　　者：郭建青[1] 李彦[2] 王洪胜[1] 周宏飞[2] 

机构地区：[1]长安大学,西安710054 [2]中国科学院新疆生态与地理研究所,乌鲁木齐830011

出　　处：《水力发电学报》2010年第4期102-106,共5页Journal of Hydroelectric Engineering

基　　金：国家自然科学基金项目(40671037)

摘　　要：提出了一种在污水排放位置坐标为未知情况下可以分析二维河流水团示踪试验数据,确定河流横向扩散系数、断面平均流速和污水排放位置坐标的方法。将描述岸边连续恒定排放污水的二维河流水质状态随时空变化的解析解进行适当变形,得到了两个水质观测横断面上的直线方程。由于直线方程的自变量中含有未知的污水排放位置的横坐标值,利用相关系数极值法计算该值,然后,利用直线图解法或一元线性回归法分别计算两个断面上的直线方程中的常数。由这些常数的表达式可以推导出计算横向扩散系数、断面平均流速和污水排放位置纵坐标值的公式。最后,利用算例说明了方法应用的具体步骤。In this paper a new method is proposed to determine the transverse diffusion coefficient and the mean velocity of a river stream and the location of continuous pollutant injection.In this method,through suitably transforming the analytical solution of 2-D water mass tracer transport in river stream under the continuous pollutant injection,two linear regression equations are derived for two different sampling cross-sections of the river that is experimentally tested.First,to any of these two linear equations,a formula for estimating the ordinate of pollutant injection location can be established by applying the correlation coefficient extreme principle.Then,the observed data at the two sampling sections are transformed into two intermediate data sets.With these data sets,all the constants in the two linear equations can be determined with linear regression method or graphical method.The formulas for determining the coordinates of injection location,transversal diffusion coefficient of the river stream,cross-sectional mean velocity are derived from the expressions of the linear constants.Finally,a detailed procedure for the application of this method to a study case is provided.

关 键 词：环境水力学 河流示踪试验 相关系数极值法 横向扩散系数 平均流速 排放位置坐标 

分 类 号：X143[环境科学与工程—环境科学]