# A MULTI-SCALE MIXED METHOD FOR A TWO-PHASE FLOW IN FRACTURED RESERVOIRS CONSIDERING PASSIVE TRACER

## Palavras-chave:

Reservoir Simulation, Mixed Finite Elements, Multi-scale Finite Elements, Discrete Fracture## Resumo

In this research, the mathematical model represents a two-phase flow in a fractured porous reservoir

media, where the Darcy law represents the flow in both fractures and matrix. The flux/pressure of the fluid flow is

approximated using a hybridized mixed formulation coupling the fluid in the volume with the fluid flow through the

fractures. The spatial dimension of the rock matrix is three and and is coupled with two-dimensional discrete frac-

tures. The transport equation is approximated using a lower order finite volume system solved through an upwind

scheme. The C++ computational implementation is made using the NeoPZ framework, an object oriented finite

element library. The generation of the geometric meshes is done with the software Gmsh. Numerical simulations

in 3D are presented demonstrating the advantages of the adopted numerical scheme and these approximations are

compared with results of other methods.