Multilevel well modeling in aggregation-based nonlinear multigrid for multiphase flow in porous media

A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and transport problems driven by wells with multiple perforations is developed. It is an extension to our previous work on FAS solvers for diffusion and transport problems. The solver is applicable to discrete problems d...

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Vydáno v:Journal of computational physics Ročník 513; s. 113163
Hlavní autoři: Lee, Chak Shing, Hamon, François P., Castelletto, Nicola, Vassilevski, Panayot S., White, Joshua A.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier Inc 15.09.2024
Témata:
Algebraic multigrid
Full approximation scheme
Nonlinear multigrid
Two-phase flow and transport, wells with multiple perforations
Unstructured meshes
Unstructured meshes
Full approximation scheme
Nonlinear multigrid
Algebraic multigrid
Two-phase flow and transport, wells with multiple perforations
ISSN:0021-9991
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Shrnutí:A full approximation scheme (FAS) nonlinear multigrid solver for two-phase flow and transport problems driven by wells with multiple perforations is developed. It is an extension to our previous work on FAS solvers for diffusion and transport problems. The solver is applicable to discrete problems defined on unstructured grids as the coarsening algorithm is aggregation-based and algebraic. To construct coarse basis that can better capture the radial flow near wells, coarse grids in which perforated well cells are not near the coarse-element interface are desired. This is achieved by an aggregation algorithm proposed in this paper that makes use of the location of well cells in the cell-connectivity graph. Numerical examples in which the FAS solver is compared against Newton's method on benchmark problems are given. In particular, for a refined version of the SAIGUP model, the FAS solver is at least 35% faster than Newton's method for time steps with a CFL number greater than 10.
ISSN:0021-9991
DOI:10.1016/j.jcp.2024.113163