Effective velocity for transport in heterogeneous compressible flows with mean drift

Attinger, Sabine; Abdulle, Assyr

doi:10.1063/1.2827584

Cited by 2 publications

(2 citation statements)

References 20 publications

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“…One of the challenges is the observation of drift phenomena at a Darcy or field scale [5,16]. The signatures of drift phenomena affect tracer concentration distribution at field scale as reported in the literature [22]. Analytical model solutions that describe and predict tracer transports at field scale have been obtained in cases where tracer adsorption, non-uniform convection, and variable dispersion manifest [23].…”

Section: Pore-scale Radial Diffusion Models With Driftmentioning

confidence: 99%

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

et al. 2021

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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.

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Section: Pore-scale Radial Diffusion Models With Driftmentioning

confidence: 99%

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

et al. 2021

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“…Attinger and Abdulle [15] studied the effective drift of transport problems in heterogeneous compressible flows. They discussed the impact of a mean drift and showed that static compressible flow with mean drift can produce a heterogeneity-driven large-scale drift or ballistic transport.…”

Section: Introductionmentioning

confidence: 99%

Closed-Form Solution of Radial Transport of Tracers in Porous Media Influenced by Linear Drift

Akanji

Falade

2018

Energies

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A new closed-form analytical solution to the radial transport of tracers in porous media under the influence of linear drift is presented. Specifically, the transport of tracers under convection–diffusion-dominated flow is considered. First, the radial transport equation was cast in the form of the Whittaker equation by defining a set of transformation relations. Then, linear drift was incorporated by considering a coordinate-independent scalar velocity field within the porous medium. A special case of low-intensity tracer injection where molecular diffusion controls tracer propagation but convection with linear velocity drift plays a significant role was presented and solved in Laplace space. Furthermore, a weak-form numerical solution of the nonlinear problem was obtained and used to analyse tracer concentration behaviour in a porous medium, where drift effects predominate and influence the flow pattern. Application in enhanced oil recovery (EOR) processes where linear drift may interfere with the flow path was also evaluated within the solution to obtain concentration profiles for different injection models. The results of the analyses indicated that the effect of linear drift on the tracer concentration profile is dependent on system heterogeneity and progressively becomes more pronounced at later times. This new solution demonstrates the necessity to consider the impact of drift on the transport of tracers, as arrival times may be significantly influenced by drift intensity.

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Effective velocity for transport in heterogeneous compressible flows with mean drift

Cited by 2 publications

References 20 publications

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

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

Closed-Form Solution of Radial Transport of Tracers in Porous Media Influenced by Linear Drift

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