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Axisymmetric gravity currents in anisotropic porous media
Published 2022“…We explore the motion of an axisymmetric gravity current in an anisotropic porous medium in which the horizontal permeability is larger than the vertical permeability. …”
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Gravity currents in a porous medium at an inclined plane
Published 2006“…We consider the case where the volume of the resulting gravity current increases with time like tα and show that for α < 3 at short times the current spreads axisymmetrically, with radius r ∼ t(α+1)/4, while at long times it spreads predominantly downslope. …”
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Leakage from gravity currents in a porous medium. Part 1. A localized sink
Published 2011“…We determine numerical solutions for the evolution of the gravity current in the porous medium and for the quantity of fluid that escapes through the sink as a function of time. …”
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Leakage from gravity currents in a porous medium. Part 2. A line sink
Published 2011“…We consider the propagation of a buoyancy-driven gravity current in a porous medium bounded by a horizontal, impermeable boundary. …”
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Rivulet flow over a flexible beam
Published 2016“…For early times, the liquid spreads like a horizontal gravity current, with σ(t)∝t4/5 and ϕ(t)∝t13/5. For intermediate times, the deflection of the beam leads to rapid acceleration of the liquid layer, with σ(t)∝t4 and ϕ(t)∝t9. …”
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Inferring filtration laws from the spreading of a liquid modelling by the porous medium equation
Published 2019“…Motivated by modelling the spreading of a two-dimensional particle-laden gravity current on a porous membrane, we couple the porous medium equation with drainage with a blocking law for the pores of the membrane. …”
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The effect of a fissure on storage in a porous medium
Published 2009“…We determine numerical solutions for the evolution of both the gravity current within the porous medium and the volume of fluid that has escaped through the fissure as a function of time. …”
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Impact of pressure dissipation on fluid injection into layered aquifers
Published 2019“…We develop a compressible, two-phase model that couples vertical water leakage to the propagation of a CO2 gravity current. We show that our vertically integrated, sharp-interface model is capable of efficiently and accurately capturing water migration in a layered aquifer system with an arbitrary number of aquifers. …”
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The magnitude and impact of the Youngest Toba Tuff super-eruption
Published 2014“…Simulation results indicate that the eruption had a very large mass flow rate and that the umbrella cloud, associated with the eruption plume, spread as an enormous gravity current around the neutral buoyancy level. The YTT tephra forms a key chronostratigraphic marker in the sedimentary sequences, and is particularly useful for constraining the age of the palaeoenvironmental and archeological records, and synchronizing these archives to investigate temporal relationships. …”
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