Calculating river ice thickness from Harbin to Tongjiang using short-term hydrological and meteorological data

In order to calculate the river ice thickness distribution from Harbin to Tongjiang about 660 km along Songhua River,and based on the fact of the short-term hydrological and meteorological data along Songhua River,the kinetic energy effect of fluid velocity under ice cover on ice growth is added into Stefan equation which is commonly needed meteorological data for the single point ice thickness calculation under the state water conditions.In the case with scarce measured fluid velocity data under ice cover,it is assumed that water flux and roughness is same in the supposed river,then the relationship between the fluid velocity and the river width is set up,and some mean fluid velocities under ice covers at different sites are evaluated. And in the case without measured meteorological data along the river,the average daily surface temperature is interpolated by using the method of inverse distance squared if the ice forms under the same weather system during the ice period.The statistical relation is obtained following the theoretical analysis and limited hydrological and meteorological data.Based on the calculated results from Harbin to Tongjiang along Songhua River,660 km long,it shows that the human interference in the fluid velocity affects the ice growth rate and the calculation of longer river has higher accuracy.