Open AccessThe problem of suspension injection into a porous medium within a two-velocity model of deep bed filtration
Author(s) -
N. E. Leontiev
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 - 10.1088/1742-6596/1392/1/012013
Subject(s) - suspension (topology) , filtration (mathematics) , porous medium , deposition (geology) , mechanics , porosity , matrix (chemical analysis) , materials science , physics , mathematics , geology , composite material , statistics , paleontology , homotopy , sediment , pure mathematics
We consider flows of a suspension through a porous medium with account of the deposition of the suspended particles onto the internal surface of a porous matrix (deep bed filtration). The velocities of the suspended particles and the carrier fluid are plausibly supposed to differ by a known factor that depends on the suspension concentration. We present analytical and numerical solutions to the problem of suspension injection into a porous sample. The main qualitative result of the investigation is that — under certain circumstances — the smooth solutions (i.e., the ones that do not, in contrast to usual assumptions, involve concentration jumps) to the problem may exist. This feature may be of use for experimental data interpretation.