One of the most important problems of exploitational use of marine gas turbine engine is knowledge about direction of changes realised unsteady processes. Individual dynamical features of each exploitated engine are determined on the way of costly experimental searches. These searches are qualifled by numerous constructional and exploitational confinements. In real exploitational conditions marine gasturbine engine works at different rotation speeds determined by the required parameters of ship's movement. Conversion from one rotation speed to another is related to realization of unsteady energetic processes, determined by the gasodynamic mutual influence of compressor configurations. The values of working medium flow thermodynamic parameters undergo significant changes in time. To work out the qualitative and quantitative estimation of these changes it is necessary to define the dynamic equations, describing working medium flow through the gas passage of engine. In the next step it is necessary to resohe the defined equations for disturbances of steady cooperation of compressor configurations. This paper concerns the application of mathematical modelling methods to analyzing gas-dynamic processes in marine gas turbines. The influence of geometry changes in axial compressor flow passage on kinematical air flow characteristics is presented. The elaborated mathematical model will make it possible to realize - in the future -simulative investigations of gas-dynamic processes taking place in a compressor fitted with controllable guide vanes.