Preprint C114/2010
Buoyancy Driven Three-Phase Flow in Porous Media
Panters Rodríguez Bermúdez
Keywords: system of conservation laws | loss of hyperbolicity | Riemann problems | gravity | immiscible flow

We study the buoyancy-driven flow for a system of two nonlinear conservation laws that models three-phase flow in a porous medium. We solve a class of Riemann problems for a simplified case where two of the fluids have equal density. We also perform a hyperbolic analysis for the system of conservation laws finding a new type of coincidence point on the boundary of the saturation triangle. The investigation combines the theory of conservation laws with computational experiments.