Vis enkel innførsel

dc.contributor.authorKlemetsdal, Øystein
dc.contributor.authorMøyner, Olav
dc.contributor.authorLie, Knut-Andreas
dc.date.accessioned2021-10-11T13:55:27Z
dc.date.available2021-10-11T13:55:27Z
dc.date.created2019-02-26T12:20:18Z
dc.date.issued2019
dc.identifier.citationSPE Journal. 2019, .en_US
dc.identifier.issn1086-055X
dc.identifier.urihttps://hdl.handle.net/11250/2789082
dc.descriptionMå be om postprint. TEen_US
dc.description.abstractThe interplay of multiphase flow effects and PVT behavior encountered in reservoir simulations often gives strongly coupled nonlinear systems that are challenging to solve numerically. In a sequentially implicit method, many of the essential nonlinearities are associated with the transport equation, and convergence failure for the Newton solver is often caused by steps that pass inflection points and discontinuities in the fractional flow functions. The industry-standard approach is to heuristically chop time steps and/or dampen updates suggested by the Newton solver if these exceed a predefined limit. Alternatively, one can use trust regions to determine safe updates that stay within regions having the same curvature for the numerical flux. This approach has previously been shown to give unconditional convergence for polymer- and waterflooding problems, also when property curves have kinks or near-discontinuous behavior. While unconditionally convergent, this method tends to be overly restrictive. Herein, we show how detection of oscillations in the Newton updates can be used to adaptively switch on and off trust regions, resulting in a less restrictive method better suited for realistic reservoir simulations. We demonstrate the performance of the method for a series of challenging test cases ranging from conceptual 2D setups to realistic (and publicly available) geomodels like the Norne field and the recent Olympus model from the ISAPP optimization challengeen_US
dc.description.abstractRobust nonlinear Newton solver with adaptive interface-localized trust regionsen_US
dc.language.isoengen_US
dc.publisherSociety of Petroleum Engineers (SPE)en_US
dc.subjectmultiphase-flowen_US
dc.subjectInterface-Localizeden_US
dc.subjectreservoir simulationen_US
dc.subjectNonlinear solveren_US
dc.titleRobust nonlinear Newton solver with adaptive interface-localized trust regionsen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.rights.holderOpen access. Copyright 2019, Society of Petroleum Engineersen_US
dc.source.pagenumber1576-1594en_US
dc.source.volume24en_US
dc.source.journalSPE Journalen_US
dc.source.issue4en_US
dc.identifier.doi10.2118/195682-PA
dc.identifier.cristin1680731
dc.relation.projectNorges forskningsråd: 244361en_US
dc.relation.projectVISTA: 6366en_US
cristin.unitcode7401,90,26,0
cristin.unitnameMathematics and Cybernetics
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


Tilhørende fil(er)

Thumbnail

Denne innførselen finnes i følgende samling(er)

Vis enkel innførsel