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Calculation of rocks permeability based on periodic models of porous media
Author(s) -
Д. Е. Игошин,
D. Yu. Legostaev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1404/1/012022
Subject(s) - permeability (electromagnetism) , porous medium , harmonic mean , porosity , mathematics , mineralogy , materials science , mathematical analysis , mechanics , geology , geometry , chemistry , physics , geotechnical engineering , biochemistry , membrane
The paper proposes a method for calculating rock permeability based on periodic cubic models of porous media, taking into account the particle size distribution of the samples. Conditional permeability is calculated for each fraction. The permeability of the sample depends on the relative position of the fractions and can be calculated as the weighted average (arithmetic, geometric or harmonic). Next, an optimization problem is solved, which allows one to choose the “weight” of a particular method of averaging permeability over fractions inside the sample for all samples of the selected formation. Results were obtained for several formations from different fields.

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