Engineering Physics Annotation << Back FINITE-DIFFERENCE AND ANALYTICAL MODELS OF FILTRATION FLOW IN A IMPERFECTLY PERFORATED OIL RESERVOIR А.I. FILIPPOV, А.А. KOVALSKIY, M.R. GUBAYDULLIN The article is devoted to the study of the pressure fields of filtration flows arising from the selection of hydrocarbons from imperfectly opened reservoirs of oil and gas collectors. The problem of the pressure field in an isolated isotropic homogeneous reservoir, localized in the interval from H1d до –H2d and perforated in the range –Hd < zd < Hd is formulated in dimensional and dimensionless values for the functions of pressure deviation from its undisturbed distribution. The created finite-difference program for calculating pressure fields in the reservoir with an imperfect opening, when the reservoir boundaries do not coincide with the perforation interval boundaries, was verified by comparing it with an analytical model created on the basis of the asymptotic method. Graphic dependences for the pressure field built on the basis of computational experiments allowed us to reveal areas of good model matching and parameter values when the simplification errors of a quasistationary analytical model reach maximum values. It is shown that the created finite-difference model can be successfully used to study the laws of filtration flow in real imperfectly opened oil and gas reservoirs. Key words: filtering, imperfect dissection, two-dimensional flow, finite-difference program, pressure field, asymptotic method, integral transformations. DOI: 10.25791/infizik.09.2019.836 Contacts: - Pp. 22-30.