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

Handle URI:
http://hdl.handle.net/10754/564650
Title:
Fully implicit two-phase reservoir simulation with the additive schwarz preconditioned inexact newton method
Authors:
Liu, Lulu ( 0000-0002-0357-1322 ) ; Keyes, David E. ( 0000-0002-4052-7224 ) ; Sun, Shuyu ( 0000-0002-3078-864X )
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Extreme Computing Research Center; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Computational Transport Phenomena Lab
Publisher:
Society of Petroleum Engineers (SPE)
Journal:
SPE Reservoir Characterization and Simulation Conference and Exhibition
Conference/Event name:
SPE Reservoir Characterisation and Simulation Conference and Exhibition: New Approaches in Characterisation and Modelling of Complex Reservoirs, RCSC 2013
Issue Date:
2013
DOI:
10.2118/166062-ms
Type:
Conference Paper
ISBN:
9781629931449
Appears in Collections:
Conference Papers; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Extreme Computing Research Center; Computational Transport Phenomena Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorLiu, Luluen
dc.contributor.authorKeyes, David E.en
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-04T07:10:56Zen
dc.date.available2015-08-04T07:10:56Zen
dc.date.issued2013en
dc.identifier.isbn9781629931449en
dc.identifier.doi10.2118/166062-msen
dc.identifier.urihttp://hdl.handle.net/10754/564650en
dc.description.abstractThe 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.en
dc.publisherSociety of Petroleum Engineers (SPE)en
dc.titleFully implicit two-phase reservoir simulation with the additive schwarz preconditioned inexact newton methoden
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentExtreme Computing Research Centeren
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.identifier.journalSPE Reservoir Characterization and Simulation Conference and Exhibitionen
dc.conference.date16 September 2013 through 18 September 2013en
dc.conference.nameSPE Reservoir Characterisation and Simulation Conference and Exhibition: New Approaches in Characterisation and Modelling of Complex Reservoirs, RCSC 2013en
dc.conference.locationAbu Dhabien
kaust.authorKeyes, David E.en
kaust.authorSun, Shuyuen
kaust.authorLiu, Luluen
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