Characterization of the speed of a two‐phase interface in a porous medium
Adil Abbassi, Gawtum Namah · Mathematical Problems in Engineering · 2005
A typical situation of oil reservoir simulation is considered in a porous medium where the resident oil is displaced by water injection. An explicit expression of the speed of the oil‐water interface is given in a pseudo‐2D case via the resolution of an auxiliary Riemann problem. The explicit 2D solution is then corroborated with numerical simulations by solving the transport equation with a generalized scheme of Harten type.