IIMAS - FENOMEC
UNAM
Riemann solution for the three-phase injection problem with general relative permeabilities
Resumen:
We consider two conservation laws representing the injection of two fluids into a reservoir containing a third fluid. We found, for each injected proportion, the Riemann solution profile and the wave curves. The solution comprises constant states, rarefaction and shock waves. The three-phase wave curve and the umbilic point (or elliptic region) location are correlated, as will be shown. The solution that maximizes useful oil recovery is determined for general phase viscosities and permeability expressions; it consists of a single wave group involving all fluids.
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