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

Author

Listed:
  • Ibrahim Ayuba

    (School of Engineering, University of Aberdeen King’s College, Aberdeen AB24 3FX, UK)

  • Lateef T. Akanji

    (School of Engineering, University of Aberdeen King’s College, Aberdeen AB24 3FX, UK)

  • Jefferson L. Gomes

    (School of Engineering, University of Aberdeen King’s College, Aberdeen AB24 3FX, UK)

  • Gabriel K. Falade

    (Department of Petroleum Engineering, University of Ibadan, Ibadan 200284, Nigeria)

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.

Suggested Citation

  • Ibrahim Ayuba & Lateef T. Akanji & Jefferson L. Gomes & Gabriel K. Falade, 2021. "Investigation of Drift Phenomena at the Pore Scale during Flow and Transport in Porous Media," Mathematics, MDPI, vol. 9(19), pages 1-36, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2509-:d:651016
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    References listed on IDEAS

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    2. D. P. Gaver, 1966. "Observing Stochastic Processes, and Approximate Transform Inversion," Operations Research, INFORMS, vol. 14(3), pages 444-459, June.
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