Analysis of Oil Trapping in Porous Media Flow
Michiel Bertsch, Roberta Dal Passo, C.J. van Duijn · SIAM Journal on Mathematical Analysis · 2003
We analyze a one-dimensional nonlinear convection-diffusion equation describing the flow of water and oil through a porous medium composed of two types of rock with different permeability. We prove existence, uniqueness, and regularity properties, as well as matching conditions between the two rock types.