Towards a Physically Based Theory of High-Concentration-Gradient Dispersion in Porous Media

Schotting, R. J.; Landman, Anke Jannie

doi:10.1007/978-94-007-0971-3_21

Cited by 4 publications

(5 citation statements)

References 13 publications

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“…In the stable case this results in a reduction of dispersive mixing and smaller effective dispersivities. For a short overview of this topic we refer to Schotting and Landman [35].…”

Section: High-concentration-gradient Dispersionmentioning

confidence: 99%

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Density-dependent dispersion in heterogeneous porous media Part I: A numerical study

Landman

Johannsen²,

Schotting

2007

Advances in Water Resources

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“…In the stable case this results in a reduction of dispersive mixing and smaller effective dispersivities. For a short overview of this topic we refer to Schotting and Landman [35].…”

Section: High-concentration-gradient Dispersionmentioning

confidence: 99%

“…Finally, we note that in experimental studies dispersivities are often obtained by fitting the breakthrough curve (measured at a certain position L) with Eq. (35), where x is substituted by L À q 0 t=n. A three point fitting method as described in Bear [4] is often sufficient.…”

Section: Appendix Determination Of Apparent Longitudinal Dispersivitymentioning

confidence: 99%

Density-dependent dispersion in heterogeneous porous media Part I: A numerical study

Landman

Johannsen²,

Schotting

2007

Advances in Water Resources

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“…Heat and mass transfer in porous media arises in a number of important applications, including thermo-solutal convection in geothermal fields (McKibbin 2005), post-accident heat removal from pebble-bed reactors (Baytas 2003), the disposal of hazardous waste in subsurface salt formations (Schotting & Landman 2004) and the modelling of convection in the underground storage of CO 2 (Ennis- King, Preston & Paterson 2005). Many studies are concerned, in particular, with the flushing out of contaminants, oil or heat from various types of porous medium.…”

Section: Introductionmentioning

confidence: 99%

Local thermal non-equilibrium effects arising from the injection of a hot fluid into a porous medium

2007

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We examine the effect of local thermal non-equilibrium on the infiltration of a hot fluid into a cold porous medium. The temperature fields of the solid porous matrix and the saturating fluid are governed by separate, but coupled, parabolic equations, forming a system governed by three dimensionless parameters. A scale analysis and numerical simulations are performed to determine the different manners in which the temperature fields evolve in time. These are supplemented by a large-time analysis showing that local thermal equilibrium between the phases is eventually attained. It is found that the thickness of the advancing thermal front is a function of the governing parameters rather than being independent of them. This has the implication that local thermal equilibrium is not equivalent to a single equation formulation of the energy equation as might have been expected. When the velocity of the infiltrating fluid is sufficiently large, the equations reduce to a hyperbolic system and a thermal shock wave is formed within the fluid phase. The strength of the shock decays exponentially with time, but the approach to local thermal equilibrium is slower and is achieved algebraically in time.

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“…The difference between the resident and displacing fluid properties for these two experiments vary by orders of magnitude; however, the experimental results show a similar outflow profile. The literature suggests that as the mass fraction, or density difference, between the displacing and displaced fluids increases, the dispersion should decrease (Landman, Johannsen, & Schotting, ; Schotting & Landman, ; Watson et al, ). Our experimental results, however, suggest otherwise as ColA_24 has a mass faction difference between the displacing and resident fluids of 0.08 (Δ ρ w =0.14 g/cm 3 ), while ColA_12 has a mass fraction difference of 0.025 (Δ ρ w =0.021 g/cm 3 ).…”

Section: Resultsmentioning

confidence: 99%

Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory

Weigand

Schultz

Giffen

et al. 2018

Water Resources Research

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Nondilute transport in porous media results in fronts that are much sharper in space and time than the corresponding transport of a conservative, nonreactive dilute species. A thermodynamically constrained averaging theory model for such situations is developed. A novel closure scheme is formulated, which is cross‐coupled between flow and transport in its most general form. Experiments are performed to investigate the effects of density, viscosity, and chemical activity. An adaptive numerical approximation method is developed to efficiently solve the formulated model. Parameter estimation is performed, and excellent agreement between laboratory data and model simulations is obtained. Accurate prediction of experimental data not used to estimate model parameters is found. It is also shown that chemical activity effects contribute to asymmetric breakthrough curves for nondilute transport in porous medium systems.

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Towards a Physically Based Theory of High-Concentration-Gradient Dispersion in Porous Media

Cited by 4 publications

References 13 publications

Density-dependent dispersion in heterogeneous porous media Part I: A numerical study

Density-dependent dispersion in heterogeneous porous media Part I: A numerical study

Local thermal non-equilibrium effects arising from the injection of a hot fluid into a porous medium

Modeling Nondilute Species Transport Using the Thermodynamically Constrained Averaging Theory

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