Onset of convection in a gravitationally unstable diffusive boundary layer in porous media

By A. Riaz, Marc A. Hesse, Hamdi A. Tchelepi, F. Orr. Journal of Fluid Mechanics, 2005

728 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/e537f5fe42b1909b088d7e78c53517231bc2e976

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Citations in the corpus

Laboratory Flow Experiments for Visualizing Carbon Dioxide-Induced, Density-Driven Brine Convection (2009, methodology): “Studies have also been performed investigating stability analysis for the onset time for convection, the preferred wavelength for the growth of convective fingers, and growth rates (e.g., Ennis-King at al., 2003a, b; 2005, Hesse et al., 2006, Riaz et al., 2006, Xu et al., 2006).”
Effect of dispersion on the onset of convection during CO2 sequestration (2009, methodology): “In fact, the numerical simulations in figure 14 of Riaz et al. (2006), where the position of the most advanced portion of the front as a function of time is plotted, lead to dimensionless onset times between 2000 and 3200, which are comparable to the one of (3.1).”
Vertically averaged approaches for CO2 migration with solubility trapping (2011, methodology): “This system has been studied extensively by others [Ennis‐King and Paterson, 2005; Lindeberg et al., 2003; Riaz et al., 2006; Farajzadeh et al., 2007; Pruess, 2008], and it can be concluded from this body of work that the onset time of instability is relatively short for typical systems, on the…”
High-resolution simulation and characterization of density-driven flow in CO2 storage in saline aquifers (2009, background): “In addition, the adaptive mesh refinement framework allows us to capture the small scale dynamics that have significant influence on the large scale fingering structure and late time behavior [22].”
Gravity currents with residual trapping (2008, background): “The onset time for convective dissolution of CO2 in low-permeability aquifers is large, and the convective fluxes after onset will be small (Riaz et al. 2006; Hassanzadeh, PooladiDarvish & Keith 2007).”
Solutal-convection regimes in a two-dimensional porous medium (2014, methodology): “(See also Elder 1968; Riaz et al. 2006; Pau et al. 2010; Elenius & Johannsen 2012; Slim et al. 2013.)”
Scaling behavior of convective mixing, with application to geological storage of CO2 (2007, methodology): “…and Paterson (2005) performed a linear stability analysis to investigate the role of anisotropy with respect to the onset of convection.3,4 Riaz et al. (2006) used linear stability analysis based on the dominant mode of the self-similar diffusion operator to find a scaling relationship…”