engleski

On a front evolution in porous media with a source – analysis and numerics

We analyze evolution of the interface between immiscible fluids of different densities in porous media. The fluids can be compressible (CO2 or natural gases) or incompressible (oil, water). We rigorously prove that, if the heavier fluid is on the top and there are no sink or source, a tip of the interface will move in the direction of the gravity (if the tip is directed toward the bottom) or the buoyancy (if the tip is directed toward the top). We also showhowthe sink/source influence propagation of the interface and provide numerical examples.

Darcy law ; immiscible fluids ; interface dynamics

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