A fluids moves in a reservoir is under high pressure. Defining the characteristic length and velocity scales in the light of the pressure allows us to obtain a minimum set of dimensionless parameters of the problem and forecast the changing dynamics of fluids in connection with variations of the pressure. Calculations show that the movement of water under high pressure can be simulated by motion of steam under normal conditions. Simulation of fluid flow is based on Oberbeck ? Boussinesq equations with assumed low compressibility along the motion trajectories. The presence of weak compressibility along the trajectories allows us to give a physically clear explanation of the various transition processes. Visualization of divergence of the velocity field (areas of high and low density) completes a full description of the flow pattern. Model calculations of the motion of fluid in the reservoir in the presence of injection and production wells were done. Compressibility effects that could lead to a decrease in flow rate characteristics of the channels and the transition to non-stationary self-oscillating mode are presented.
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