Open AccessTheory of filtration in a double porosity medium
Author(s) -
L. I. Lobkovskiy,
М. М. Рамазанов
Publication year - 2019
Publication title -
doklady akademii nauk. rossijskaâ akademiâ nauk
Language(s) - English
Resource type - Journals
ISSN - 0869-5652
DOI - 10.31857/s0869-56524843348-351
Subject(s) - porosity , filtration (mathematics) , permeability (electromagnetism) , porous medium , nanoporous , mechanics , darcy's law , flow (mathematics) , thermodynamics , materials science , physics , mathematics , chemistry , composite material , membrane , nanotechnology , biochemistry , statistics
This paper defines a generalized mathematical model of filtration in a double porosity medium, taking into ac- count recent ideas on liquid and gas flow in rocks with an anomalously low permeability (including nanoporous rocks). The obtained generalized equation takes into consideration, in contrast to the classical model, the integral effects of direct filtration of an energy (or heat) carrier in low-permeable inclusions. The laws of gas flow variations at the discharge point are compared with the classical double porosity model and with the Boussinesq– Leibenzon model.