Mathematics Research Institute


A numerical approach for solving type Buckley-Leverett equation with non-equilibrium capillary pressure effects

Eduardo Abreu (Dep. Applied Mathematics, University of Campinas, Brasil)

Fecha: 14/05/2019 17:00
Lugar: Sala de Grados I, Facultad de Ciencias
Grupo: GIR: Modelización, Teoría y Análisis Numérico en Problemas de Optimización y Ecuaciones de Evolución.

We formally discuss a numerical approach for the simulation of a highly nonlinear two-dimensional model for immiscible incompressible two-phase flows in heterogeneous porous media to deal with dynamic capillary pressure. Hybridized mixed finite elements and domain decomposition procedures are used for the spatial discretization of the equations. Proper locally conservative finite volume techniques are used for a balancing discretization of the first-order hyperbolic flux and the dispersive behavior inherent of the pseudo-parabolic model. Our numerical experiments confirm the viability of the proposed formulation based on computational simulations subject to high-contrast heterogeneous porous media nonlinear flows.