Identification of the hydraulic resistance coefficient for a pipeline section under unsteady flow regime

In the work, we consider an approach to the identification of the hydraulic resistance coefficient of a linear section of a main pipeline when transporting hydrocarbon stock. The considered identification problem is reduced to the class of finite-dimensional optimization problems, for the solution of which we propose to use efficient numerical methods of first-order finite-dimensional optimization. With this purpose, in the work, we derive formulas for the components of the gradient of the objective functional in the space of identifiable parameters. The obtained values of the optimizable vector are then can be used to build the identifiable function from some class of functions using interpolation and approximation methods. The results of the carried out numerical experiments are given.