Dynamic interaction of gravity currents in a confined porous layer

DOI10.1017/jfm.2023.1075OpenAlexW4391229008MaRDI QIDQ6146283

Unnamed Author, Zhong Zheng

Publication date: 5 February 2024

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

Full work available at URL: https://doi.org/10.1017/jfm.2023.1075

zbMATH Keywords

finite volume methodlubrication theorysimilarity variableasymptotic self-similar solutionnonlinear advective-diffusive equationoil field sequestration

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Lubrication theory (76D08) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Finite volume methods applied to problems in fluid mechanics (76M12)

Cites Work

• Unnamed Item
• Unnamed Item
• Groundwater mound damping
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Two-dimensional viscous gravity currents flowing over a deep porous medium
• On the slow draining of a gravity current moving through a layered permeable medium
• On the periodic injection of fluid into, and its extraction from, a porous medium for seasonal heat storage
• CO₂ migration in saline aquifers. Part 1. Capillary trapping under slope and groundwater flow
• On the flow of buoyant fluid injected into a confined, inclined aquifer
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• The formation of grounding zone wedges: theory and experiments
• Axisymmetric gravity currents in a porous medium
• Lubricated viscous gravity currents
• Buoyancy-dominated displacement flows in near-horizontal channels: the viscous limit
• The effect of a fissure on storage in a porous medium
• The effect of drainage on the capillary retention of CO₂ in a layered permeable rock
• Self-similar viscous gravity currents: phase-plane formalism
• Gravity currents over porous substrates
• The dynamics of two-layer gravity-driven flows in permeable rock
• Buoyancy-driven flow in a confined aquifer with a vertical gradient of permeability
• The effect of vertically varying permeability on tracer dispersion
• Gravity-driven flows in porous layers
• Horizontal miscible displacements through porous media: the interplay between viscous fingering and gravity segregation
• The Influence of Boundaries on Gravity Currents and Thin Films: Drainage, Confinement, Convergence, and Deformation Effects
• Boundary-induced shear and tracer transport in heterogeneous porous rock
• A numerical investigation of horizontal viscous gravity currents
• Gravity-driven flow in a horizontal annulus
• Self-similar dynamics of two-phase flows injected into a confined porous layer
• Influence of heterogeneity on second-kind self-similar solutions for viscous gravity currents
• Gravity currents with residual trapping
• The influence of capillary effects on the drainage of a viscous gravity current into a deep porous medium
• Fluid drainage from the edge of a porous reservoir
• Similarity solutions for fluid injection into confined aquifers
• The front condition for gravity currents
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT

This page was built for publication: Dynamic interaction of gravity currents in a confined porous layer