In the practice of the development and operation of oil and gas fields, unsteady processes associated with the start-up and shutdown of wells often arise in the formations, with a change in the rate of fluid withdrawal from the wells. The nature of these processes is manifested in the redistribution of reservoir pressure, in the change over time in the rates of filtration flows, well rates, etc. The features of these unsteady processes depend on the elastic properties of the formations and the liquids saturating them, i.e. the main form of reservoir energy in these processes is the energy of elastic deformation of liquids (oil and water) and reservoir material