Problem of determination of leakages in oil pipeline networks

The problem of determination of breakpoints and of volume of oil leaks under non-stationary regimes of transportation over a linear part of a main pipeline is investigated in the work. The problem of identification is considered in the frame of class of optimal control problems and the formulas for the gradient of the target functional are obtained for the considered problem. These formulas allow using the numerical methods of the first order to solve the problem. The results of numerical experiments are given.