One of the urgent problems of our time is the uneven distribution of the flow velocity in the forebay of the intake structure, which leads to the destruction of the flow structure due to the water level, the amount of turbidity in the water, the size of the fraction and the change in speed. As a result, turbidity can be observed in the forebay and water intake units, an increase in hydraulic resistance in the suction network, a decrease in pump fluid loss, the formation of cavitation and the destruction of internal parts. In the article, the forebay of an irrigation pumping station and in the intake section, a mathematical model of the dynamics of water distribution over the velocity field, longitudinal and transverse distribution based on the shape of the forebay was created and numerous results were obtained. Taking into account the above, according to the identified Lax scheme, the Eyler differential equation of flow motion was numerically solved, and the calculation of the longitudinal and transverse velocity distributions in the forebay and water intake was carried out by setting the boundary conditions for the state of the flow.