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Investigation of Drift Phenomena at the Pore Scale during Flow and Transport in Porous Media.

Authors :
Ayuba, Ibrahim
Akanji, Lateef T.
Gomes, Jefferson L.
Falade, Gabriel K.
Source :
Mathematics (2227-7390). Oct2021, Vol. 9 Issue 19, p2509. 1p.
Publication Year :
2021

Abstract

This paper reports an analytical study conducted to investigate the behaviour of tracers undergoing creeping flow between two parallel plates in porous media. A new coupled model for the characterisation of fluid flow and transport of tracers at pore scale is formulated. Precisely, a weak-form solution of radial transport of tracers under convection–diffusion-dominated flow is established using hypergeometric functions. The velocity field associated with the radial transport is informed by the solution of the Stokes equations. Channel thickness as a function of velocities, maximum Reynolds number of each thickness as a function of maximum velocities and concentration profile for different drift and dispersion coefficients are computed and analysed. Analysis of the simulation results reveals that the dispersion coefficient appears to be a significant factor controlling the concentration distribution of the tracer at pore scale. Further analysis shows that the drift coefficient appears to influence tracer concentration distribution but only after a prolonged period. This indicates that even at pore scale, tracer drift characteristics can provide useful information about the flow and transport properties of individual pores in porous media. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
9
Issue :
19
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
153040908
Full Text :
https://doi.org/10.3390/math9192509