LAUSR

Abstract We propose a numerical solution to an inverse problem in the hydraulic network of complex loopback structure in the paper. The problem consists in determining the locations and volume of leakage from additional information which is the results of observations on non-stationary regimes of fluid flow at some points of the pipeline. The problem is reduced to a parametric optimal control problem and is solved by applying first-order optimization methods. Features of the problem consist in the participation of impulse actions in the system of differential equations of hyperbolic type, absence of initial conditions and participation of the boundary conditions in the form of non-separated relations between the states of the process at the junctions of the pipeline network. Due to the long duration of the process under study, exact information on its initial state is not available at the time of monitoring. Instead, there is information on a variety of possible initial states of the process.