Analysis and computation of gravity-induced migration in porous media

DOI10.1017/S0022112010006440zbMath1241.76364OpenAlexW2102408278MaRDI QIDQ2891567

Romain de Loubens, T. S. Ramakrishnan

Publication date: 15 June 2012

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112010006440

zbMATH Keywords

convection in porous mediagravity currentsgeophysical and geological flows

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (12)

Vertically integrated dual-continuum models for CO\(_2\) injection in fractured geological formations ⋮ Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite Difference Scheme ⋮ The evolution of miscible gravity currents in horizontal porous layers ⋮ Asymptotic solution of a nonlinear advection-diffusion equation ⋮ Three-dimensional buoyancy-driven flow along a fractured boundary ⋮ Late-time asymptotic solution of nonlinear advection-diffusion equations with equal exponents ⋮ Equilibrium gravity segregation in porous media with capillary heterogeneity ⋮ Isolated buoyant convection in a two-layered porous medium with an inclined permeability jump ⋮ Fluid transport in geological reservoirs with background flow ⋮ Impact of pressure dissipation on fluid injection into layered aquifers ⋮ Influence of heterogeneity on second-kind self-similar solutions for viscous gravity currents ⋮ Topographic controls on gravity currents in porous media

Cites Work

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• The Cauchy problem for an equation in the theory of infiltration
• Properties of solutions of an equation in the theory of infiltration
• Groundwater mound damping
• Gravity currents in horizontal porous layers: transition from early to late self-similarity
• The effect of drainage on the capillary retention of CO₂ in a layered permeable rock
• Capillary entry pressure and the leakage of gravity currents through a sloping layered permeable rock
• Long-time behaviour for porous medium equations with convection
• Gravity-driven flows in porous layers
• Gravity currents with residual trapping
• Gravity currents in a porous medium at an inclined plane

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