Fully implicit two-phase reservoir simulation with the additive schwarz preconditioned inexact newton method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

13 Scopus citations

Abstract

The fully implicit approach is attractive in reservoir simulation for reasons of numerical stability and the avoidance of splitting errors when solving multiphase flow problems, but a large nonlinear system must be solved at each time step, so efficient and robust numerical methods are required to treat the nonlinearity. The Additive Schwarz Preconditioned Inexact Newton (ASPIN) framework, as an option for the outermost solver, successfully handles strong nonlinearities in computational fluid dynamics, but is barely explored for the highly nonlinear models of complex multiphase flow with capillarity, heterogeneity, and complex geometry. In this paper, the fully implicit ASPIN method is demonstrated for a finite volume discretization based on incompressible two-phase reservoir simulators in the presence of capillary forces and gravity. Numerical experiments show that the number of global nonlinear iterations is not only scalable with respect to the number of processors, but also significantly reduced compared with the standard inexact Newton method with a backtracking technique. Moreover, the ASPIN method, in contrast with the IMPES method, saves overall execution time because of the savings in timestep size.
Original languageEnglish (US)
Title of host publicationSPE Reservoir Characterization and Simulation Conference and Exhibition
PublisherSociety of Petroleum Engineers (SPE)
ISBN (Print)9781629931449
DOIs
StatePublished - Sep 16 2013

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