A problem of the stress-deformed state (SDS) of the well is solved. To calculate SDS a 3D application of finite-difference engineering analysis FLAC3D is used. A part of reservoir evenly saturated at the initial stage is considered, at the center of which a well is located. The solution has two steps. Step one relates to geostatic load; step two concerns reservoir pressure change due to flow rate specification on the well radius. The problem is approached as connected, which means simultaneous addressing correlations of mechanics and hydrodynamics. Reservoir pressure changes over time and so does actual stress. The Hooke’s law is chosen as the foundation for physical relations, i.e. elastic model of material behaviour is used. Fluid filtration follows the Darcy’s law. The paper suggests a mathematic setting of the problem embracing correlations of the elasticity theory, filtration law and boundary conditions. To process the results an application was written in FISH, the internal language of FLAC3D. Dependences are obtained of dimensionless reservoir pressure on dimensionless radius, as well as dimensionless stresses on dimensionless radius for a given period of time.