Engineering Physics Annotation << Back QUASISTATIONARY MODEL OF FILTRATION IN A LAYERED INHOMOGENEOUS RESERVOIR TAKING INTO ACCOUNT THE INFLUENCE OF THE WELL A.I. FILIPPOV, O.V. AKHMETOVA, A.A. KOVALSKII, M.R. GUBAYDULLIN, M.A. ZELENOVA The solution of the problem of filtration pressure in a reservoir whose permeability depends on the vertical coordinate, opened to the entire thickness by a well, is considered. The formation and the well represent an interconnected hydrodynamic system. Analytical solutions to the interface problem with integro-differential equations describing the dynamics of pressure perturbations in the well – reservoir system are obtained. The expression that defines the reservoir pressure allows you to set two important parameters that describe the relaxation processes in the well after starting the pump: the relaxation pressure and the relaxation time. Analytical results are verified by finite-difference calculations. Keywords: filtration, flow rate, vertical inhomogeneity, relaxation pressure drop, relaxation time. DOI: 10.25791/infizik.07.2020.1145 Pp. 16-25.