Nonlinear wave control actions to increase oil recovery of natural reserves

When developing oil fields, periodic wave disturbances are used to increase the well flow rate and increase the ultimate oil recovery of the reservoirs. In an inhomogeneous medium, in the presence of dissipation and/or dispersion, the harmonic oscillations generated in the well bottoms turn into sawtooth waves with periodic shock fronts. The article describes and investigates oneand two-dimensional nonlinear mathematical models of such processes.