| 确定河流纵向离散系数的相关系数极值法 |
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| 引用本文： | 郭建青,王洪胜,李云峰.确定河流纵向离散系数的相关系数极值法[J].水科学进展,2000,11(4):387-391. |
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| 作者姓名： | 郭建青 王洪胜 李云峰 |
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| 作者单位： | 长安大学水资源与环境工程系, 陕西西安710054 |
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| 摘 要： | 将描述一维瞬时投放示踪剂情况下的水团示踪试验的解析表达式两端同时取对数,得到一直线方程。该方程的因变量Y中含有试验数据c、t,自变量X中含有试验数据t、x和待求参数u,直线常数中含有待求参数D与A。根据u的取值应使Y与X间的相关系数达到极值的原理,推导出了计算河流平均流速u的公式。在计算出u值后,就可以计算出相应不同时间的X值,然后对Y与X数据进行一元线性回归计算,可以计算出直线常数项,从而便可以计算出D与A值。
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| 关 键 词： | 河流 离散系数 相关系数极值法 水团示踪试验 参数计算 |
| 文章编号： | 1001-6791(2000)04-0387-05 |
| 收稿时间： | 1999-06-28 |
| 修稿时间： | 1999年6月28日 |
The Correlation Coefficient Extreme Value Method to Determine the Dispersion Parameters of River |
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| GUO Jian-qing,WANG Hong-sheng,LI Yun-feng.The Correlation Coefficient Extreme Value Method to Determine the Dispersion Parameters of River[J].Advances in Water Science,2000,11(4):387-391. |
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| Authors: | GUO Jian-qing WANG Hong-sheng LI Yun-feng |
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| Affiliation: | Changan University, Xian 710054, China |
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| Abstract: | By logarithmic transformation of the analytic solutions expressing one-dimension water mass tracer dispersion test with instant injection of tracer, a linear equation, whose independent variable X includes test data t and x,u with unknown value, dependent Y includes the test data c and t, and the linear constants include the longitudinal dispersion coefficient D, was derived. According to the principle that the suitable value of u should make the value of correlation coefficient between Y and X extreme, the equation computing the value of u was derived. With known the value of u, the values of X corresponding to different observation time may be computed. Then the linear constants may be determined by the method of linear regression to analyze the data of Y-X, and finally the dispersion parameters can be estimated. |
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| Keywords: | river dispersion parameter correlation coefficient extreme method water mass tracer lest parameter estimation |
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