Release:2016, Vol. 2. №4
About the authors:Aleksey S. Gubkin, Junior Researcher, Tyumen Branch of Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS; Senior Lecturer, Department of Mechanics of Multiphase Systems, Tyumen State University; email@example.com
The article presents the two-dimensional model of a porous medium with random micro-inhomogeneities and the results of numerical calculation of single-phase flow of a Newtonian fluid through a model porous medium. The results of calculations based on Darcy’s equation allowed to find the absolute permeability coefficients in the longitudinal and transverse directions. The principle of the skeleton constructing the medium is that the region in the form of a rectangle with sides Lx and Ly is randomly cast with disks of random radius in the range from Rmin to Rmax. The algorithm includes two model parameters: δin and δout, giving the minimum imposition of overlapping disks and the minimum distance between the non-overlapping discs. Thus, the skeleton of the porous medium was formed until achieving the preassigned value of porosity. Then the pore space is obtained by subtracting the skeleton from the treated area. The geometry of the problem and the computational grid were built in open package Salome, the numerical solution of the Navier-Stokes equations for a given pressure drop at the boundaries of the area was considered in the open package OpenFOAM. The difference founded values of the absolute permeability in the longitudinal and transverse directions is no more than half which speaks of the volume of the calculated area being close to the representative.