The Numerical Calculation of Permeability in Two-Dimensional Porous Media with Skeleton of Randomly Arranged Overlapping Disks

Gubkin, A. S.; Igoshin, D. E.; Trapeznikov, Dmitriy V.

doi:10.21684/2411-7978-2016-2-4-54-68

Cited by 6 publications

(1 citation statement)

References 8 publications

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“…Disks are characterized by a small depth h, radiuses taking the values from Rmin to Rmax , and coordinates of the centers (xi, Construction algorithm introduces two dimensionless model parameters: characterizing values of minimum overlapping of intersecting discs and minimum gap between non-intersecting discs. The algorithm selects disks, with coordinates of the centers and radiuses satisfying the following conditions [32] (Fig. 1):…”

Section: Two-dimensional Stochastic Model Of Porous Mediummentioning

confidence: 99%

Permeability of model porous medium formed by random discs

Губайдуллин

Gubkin

Igoshin

et al. 2018

AIP Conference Proceedings

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Abstract. Two-dimension model of the porous medium with skeleton of randomly located overlapping discs is proposed. The geometry and computational grid are built in open package Salome. Flow of Newtonian liquid in longitudinal and transverse directions is calculated and its flow rate is defined. The numerical solution of the Navier-Stokes equations for a given pressure drop at the boundaries of the area is realized in the open package OpenFOAM. Calculated value of flow rate is used for defining of permeability coefficient on the base of Darcy law. For evaluating of representativeness of computational domain the permeability coefficients in longitudinal and transverse directions are compered.

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Section: Two-dimensional Stochastic Model Of Porous Mediummentioning

confidence: 99%