Hydraulic resistance coefficient identification in pipelines

Abstract

We consider an approach to identifying the hydraulic resistance coefficient for a segment of a magistral pipe in transporting hydrocarbon raw material. The considered identification problem reduces to a class of parametric optimal control problems, and we propose to use efficient numerical methods developed for first order finite-dimensional optimization problems to solve it. To this purpose, we derive formulas for components of the objective functional’s gradient in the space of the identified parameters. The resulting values for the vector being optimized can then be used to construct the identified function from some class of functions with interpolation and approximation methods. We also show the results of numerical experiments.