Model reduction and discretization using hybrid finite volumes for flow in porous media containing faults
Résumé
In this paper, we study two different model reduction
strategies for solving problems involving single phase
flow in a porous medium containing faults or fractures
whose location and properties are known. These faults are
represented as interfaces of dimension N − 1 immersed
in an N dimensional domain. Both approaches can handle
various configurations of position and permeability of the
faults, and one can handle different fracture permeabilities
on the two inner sides of the fracture. For the numerical discretization,
we use the hybrid finite volume scheme as it is
known to be well suited to simulating subsurface flow. Some
results, which may be of use in the implementation of the
proposed methods in industrial codes, are demonstrated.