Nearwell local space and time refinement in reservoir simulation

Walid Kheriji (1, 2, 3) , Roland Masson (2, 1) , Arthur Moncorgé (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 COFFEE - COmplex Flows For Energy and Environment
3 CSTJF - Centre scientifique et Technique Jean Feger

In reservoir simulations, nearwell regions usually require finer space and time scales compared with the remaining of the reservoir domain. We present a domain decomposition algorithm for a two phase Darcy flow model coupling nearwell regions locally refined in space and time with a coarser reservoir discretization. The algorithm is based on an optimized Schwarz method using a full overlap at the coarse level. The main advantage of this approach is to apply to fully implicit discretizations of general multiphase flow models and to allow a simple optimization of the interface conditions based on a single phase flow equation.

Mots clés: optimized Schwarz methods.; domain decomposition; local time stepping; nearwell refinement; Porous media; two phase Darcy flow; optimized Schwarz methods; Darcy flow

Domaines: Analyse numérique [math.NA]; Modélisation et simulation

Walid Kheriji, Roland Masson, Arthur Moncorgé. Nearwell local space and time refinement in reservoir simulation. Mathematics and Computers in Simulation, 2014, Volume 118, pp. 273-292. ⟨10.1016/j.matcom.2014.11.022⟩. ⟨hal-00974264⟩