Finite-difference modeling of the inflow profile in an isolated homogeneous isotropic partially opened reservoir

Abstract

The article is devoted to the study of tributary profiles arising from the selection of hydrocarbons from partially opened reservoirs. The calculations were performed based on the finite-difference program for calculating the pressure and velocity fields in the formation, based on the solution of the problem of the pressure field in an isolated isotropic homogeneous formation, localized in the range from H 1 to − H 2 and perforated in the range − H < z < H , which is completely contained in the interval of the reservoir. Graphical dependencies are constructed for the pressure field, the vertical and horizontal components, and the velocity modulus of the fluid filtered from the periphery to the well. Level lines for the indicated fields are presented and, based on their analysis, important regularities of the flow are revealed. A computational experiment showed that there are no vertical flows at the hole in the perforated part of the formation, and when they are removed from the well, they are non-zero. It was shown that interlayer flows exist even in homogeneous partially opened formations. At the same time, the inflow from an imperfectly opened homogeneous isotropic reservoir producing in a given depression mode is not uniform, and the maximum modulus of the horizontal velocity component in all curves is reached at the boundaries of the perforation interval. It is shown that in the center of a symmetrically perforated and imperfectly opened formation a minimum specific inflow is observed.