Dynamics of the Development of the Hydraulic Fracture near Injector in a Formation with Account for Sedimentation of Disperse Particles near Its Boundaries

The system of maintenance of the formation pressure is associated with the appearance of technogenic fractures near injection wells, which leads to sharp water cut of the extracted oil. Geomechanic simulators also leave out variations in the hydrodynamic fluxes due to adsorption and keeping of disperse particles in the porous medium. The quasi-one-dimensional model of the fracture development dynamics developed on the basis of mechanics of multiphase media allows one to take account of these effects. The numerical solution of these equations makes it possible to predict to a high precision the geometric parameters of a fracture at different moments of time.