Fully implicit two-phase reservoir simulation with the additive schwarz preconditioned inexact newton method
Type
Conference PaperAuthors
Liu, Lulu
Keyes, David E.

Sun, Shuyu

KAUST Department
Applied Mathematics and Computational Science ProgramComputational Transport Phenomena Lab
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Environmental Science and Engineering Program
Extreme Computing Research Center
Physical Science and Engineering (PSE) Division
Date
2013-09-16Online Publication Date
2013-09-16Print Publication Date
2013Permanent link to this record
http://hdl.handle.net/10754/564650
Metadata
Show full item recordAbstract
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.Citation
Liu, L., Keyes, D. E., & Sun, S. (2013). Fully Implicit Two-phase Reservoir Simulation With the Additive Schwarz Preconditioned Inexact Newton Method. SPE Reservoir Characterization and Simulation Conference and Exhibition. doi:10.2118/166062-msPublisher
Society of Petroleum Engineers (SPE)Conference/Event name
SPE Reservoir Characterisation and Simulation Conference and Exhibition: New Approaches in Characterisation and Modelling of Complex Reservoirs, RCSC 2013ISBN
9781629931449ae974a485f413a2113503eed53cd6c53
10.2118/166062-ms