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 FractureResumo
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.
