Sensitivity analysis is an important topic which can help to investigate the stability of a process perturbed by parameter changes and uncertainty impacts. In this work the unsteady sensitivity equations for looped pipe networks are solved. We present a time splitting method able to solve in same time the unsteady water quality equations and the parameters sensitivity associated. Inertial effect due to hydraulic devices operations are considered. A slow transient model based on loop method is set up and like for water quality, hydraulic parameters sensitivity are identified.