Conclusion of monophase flow study
In conclusion, we succeeded to implement the gravity. The presence of the gravity leads to a real impacts on the flow.
It's important to take into account the anisotropy of the domain to have the best description of the flow.
However when we take into account the gravity the definition of a boundary condition of zero velocity (zero flux in our solver) the bottom of the domain leads to the matrix permeability inversion. The matrix inversion on OpenFoam is complex to implement. For this reason in the solver with gravity we defined the permeability as a scalar field or as a scalar.
The determination of the well size depends on the objectives of production fixed by the operator and the parameters of the problem.
Finally, our simulations obtained by the solvers developed in this part are compatible with the theoretical studies found in the literature or data from real fields.