瞬时源示踪实验确定河流纵向离散系数和横向混合系数的线性回归法

本文从瞬时源二维浓度公式出发,经数学推导得出一直线方程Y=AT+B,变量Y、T可由t、c、c’_t来表示.系数A、B含有待确定的参数D_x、D_y,河流纵向和横向流速u、v,以及观测点坐标x、y.由实验观测数据(c_i,I_i通过线性回归可确定A、B,进而解二元代数方程组求出纵向离散系数D_x及横向混合系数D_y.

Linear Regression Method for the Determination of both Longitudinal Dispersion Coefficient and Transverse Mixing Coefficient of River by instantaneous Dumping Tracer Test

Starting from the equation for two-dimensional concentration distribution of instantaneous dumping, a linear equation Y=AT+B was mathematically deduced, in which variables Y and T can be expressed with e. c. and C2t, while coefficients A and B 31 e composed of parameters of Dx and Dy to be determined, longitudinal and transverse flow velocities of the river u and v as well as ;he coordinates of the observation point X and Y. Throughlinear regression, A and B can be determined from Ci and Ti, the observed experimental data. Then Dx and Dy can, be calculated by solving the equation.