scholarly journals Nonlinear simulation of transverse flow interactions with chemically driven convective mixing in porous media

2013 ◽  
Vol 49 (8) ◽  
pp. 4607-4618 ◽  
Author(s):  
S. H. Hejazi ◽  
J. Azaiez
2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Jia-Hau Ching ◽  
Peilong Chen ◽  
Peichun Amy Tsai

1992 ◽  
Vol 28 (5) ◽  
pp. 1357-1367 ◽  
Author(s):  
Steven G. Thoma ◽  
David P. Gallegos ◽  
Douglas M. Smith

2012 ◽  
Vol 109 (26) ◽  
Author(s):  
Juan J. Hidalgo ◽  
Jaime Fe ◽  
Luis Cueto-Felgueroso ◽  
Ruben Juanes

Author(s):  
Abbas KHAYYER ◽  
Hitoshi GOTOH ◽  
Yuma SHIMIZU ◽  
Kohji GOTOH ◽  
Songdong SHAO

2015 ◽  
Vol 764 ◽  
pp. 296-315 ◽  
Author(s):  
X. Fu ◽  
L. Cueto-Felgueroso ◽  
D. Bolster ◽  
R. Juanes

AbstractMotivated by the process of $\text{CO}_{2}$ convective mixing in porous media, here we study the formation of rock-dissolution patterns that arise from geochemical reactions during Rayleigh–Bénard–Darcy convection. Under the assumption of instantaneous chemical equilibrium, we adopt a formulation of the local reaction rate as a function of scalar dissipation rate, a measure that depends solely on flow and transport, and chemical speciation, which is a measure that depends only on the equilibrium thermodynamics of the chemical system. We use high-resolution simulations to examine the interplay between the density-driven hydrodynamic instability and the rock dissolution reactions, and analyse the impact of geochemical reactions on the macroscopic mass exchange rate. We find that dissolution of carbonate rock initiates in regions of locally high mixing, but that the geochemical reaction shuts down significantly earlier than shutdown of convective mixing. This early shutdown feature reflects the important role that chemical speciation plays in this hydrodynamics–reaction coupled process. Finally, we extend our analysis to three dimensions and explore the morphology of dissolution patterns in three dimensions.


Fluids ◽  
2018 ◽  
Vol 3 (3) ◽  
pp. 58 ◽  
Author(s):  
Christopher Green ◽  
Jonathan Ennis-King

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.


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