Influence of the parameters of the bottom borehole zone on the own vibrations of the liquid in the pump — compressor tubing

The problem of natural oscillations of a liquid column in a tubing string, arising after a sudden opening or closing of a vertical well (water hammer), is considered. For this, a mathematical model has been built that describes the dynamics of the fluid column in the well and the filtration flow in the bottomhole zone, analytical solutions of the system of equations have been obtained. To determine the frequency, period, coefficient and decrement of damping of oscillations, a characteristic equation is found. The impact of such parameters as the length of the open section, the perforation zones of the well, the length of the tubing string, the permeability coefficient on the dynamic nature of natural pressure fluctuations has been analyzed.