Nonlinearity of Filtration Laws in Low-Permeable Collectors
Author(s) -
А. M. Svalov
Publication year - 2020
Publication title -
oil and gas technologies
Language(s) - English
Resource type - Journals
ISSN - 1815-2600
DOI - 10.32935/1815-2600-2020-129-4-34-38
Subject(s) - filtration (mathematics) , adsorption , permeability (electromagnetism) , nonlinear system , pressure gradient , mechanics , volumetric flow rate , flow (mathematics) , materials science , chemistry , mathematics , membrane , physics , biochemistry , statistics , organic chemistry , quantum mechanics
Filtration processes in low-permeability oil and gas reservoirs are characterized by non-linearity of filtration laws, which determines the features of mathematical modeling of these processes. Based on the concept of the formation of adsorption-solvate layers of a filtering liquid near the pore surface, which narrow the effective flow section of the pore channels, nonlinear dependences of the filtration rate on the applied pressure gradient are obtained. The obtained dependencies are in good agreement with the available experimental data and can be recommended for use in mathematical modeling of filtration processes in low-permeability rocks.
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