Simulation of Hydraulic Diffusion Processes and Filtration of Oil in a Porous Bed

The problems of analysis and solution of the equation of hydraulic diffusion for the oil bed as an isotropic porous medium with different boundary conditions are considered. A collection of analytical solutions and the possibilities of using them to construct a pressure recovery curve for estimating the coefficients of hydraulic diffusion and permeability of the bed are given. The one-dimensional solutions of these equations are compared with experimental data obtained on an operating setup, and their satisfactory convergence is demonstrated. The solutions obtained can be used to solve various problems of oil filtration in an isotropic porous medium. The structure formation of the non-Newtonian oil due to asphalt-resinous substances and their influence on the filtration rate of oil and its rheological properties have been investigated. New rheological equations for non-Newtonian oil filtration in a porous medium have been suggested.