Steady Flux Regime During Convective Mixing in Three-Dimensional Heterogeneous Porous Media

Density-driven convective mixing in porous media can be influenced by the spatial heterogeneity of the medium. Previous studies using two-dimensional models have shown that while the initial flow regimes are sensitive to local permeability variation, the later steady flux regime (where the dissoluti...

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Bibliographic Details
Published in:Fluids (Basel) 2018-09, Vol.3 (3), p.58
Main Authors: Green, Christopher, Ennis-King, Jonathan
Format: Article
Language:English
Subjects:
Anisotropy
Approximation
Carbon dioxide
CO2 sequestration
Computer simulation
Convection
Dissolution
Equivalence
Fluctuations
Fluids
Flux
Geology
Helium
Heterogeneity
Mathematical models
Media
Porous media
Rayleigh number
Simulation
Three dimensional models
Two dimensional models
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Summary:Density-driven convective mixing in porous media can be influenced by the spatial heterogeneity of the medium. Previous studies using two-dimensional models have shown that while the initial flow regimes are sensitive to local permeability variation, the later steady flux regime (where the dissolution flux is relatively constant) can be approximated with an equivalent anisotropic porous media, suggesting that it is the average properties of the porous media that affect this regime. This work extends the previous results for two-dimensional porous media to consider convection in three-dimensional porous media. Through the use of massively parallel numerical simulations, we verify that the steady dissolution rate in the models of heterogeneity considered also scales as k v k h in three dimensions, where k v and k h are the vertical and horizontal permeabilities, respectively, providing further evidence that convective mixing in heterogeneous models can be approximated with equivalent anisotropic models.
ISSN:2311-5521
2311-5521
DOI:10.3390/fluids3030058