Robust nonlinear Newton solver with adaptive interface-localized trust regions
Må be om postprint. TE The 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...
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ftsintef:oai:sintef.brage.unit.no:11250/2789082 2023-05-15T17:25:05+02:00 Robust nonlinear Newton solver with adaptive interface-localized trust regions Klemetsdal, Øystein Møyner, Olav Lie, Knut-Andreas 2019 application/pdf https://hdl.handle.net/11250/2789082 https://doi.org/10.2118/195682-PA eng eng Society of Petroleum Engineers(SPE) Norges forskningsråd: 244361 VISTA: 6366 SPE Journal. 2019, . urn:issn:1086-055X https://hdl.handle.net/11250/2789082 https://doi.org/10.2118/195682-PA cristin:1680731 Open access. Copyright 2019, Society of Petroleum Engineers 1576-1594 24 SPE Journal 4 multiphase-flow Interface-Localized reservoir simulation Nonlinear solver Peer reviewed Journal article 2019 ftsintef https://doi.org/10.2118/195682-PA 2021-10-13T22:36:47Z Må be om postprint. TE The 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 challenge Robust nonlinear Newton solver with adaptive interface-localized trust regions publishedVersion Article in Journal/Newspaper Norne field SINTEF Open (Brage) Olympus ENVELOPE(156.767,156.767,-80.217,-80.217) SPE Journal 24 04 1576 1594 |
institution |
Open Polar |
collection |
SINTEF Open (Brage) |
op_collection_id |
ftsintef |
language |
English |
topic |
multiphase-flow Interface-Localized reservoir simulation Nonlinear solver |
spellingShingle |
multiphase-flow Interface-Localized reservoir simulation Nonlinear solver Klemetsdal, Øystein Møyner, Olav Lie, Knut-Andreas Robust nonlinear Newton solver with adaptive interface-localized trust regions |
topic_facet |
multiphase-flow Interface-Localized reservoir simulation Nonlinear solver |
description |
Må be om postprint. TE The 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 challenge Robust nonlinear Newton solver with adaptive interface-localized trust regions publishedVersion |
format |
Article in Journal/Newspaper |
author |
Klemetsdal, Øystein Møyner, Olav Lie, Knut-Andreas |
author_facet |
Klemetsdal, Øystein Møyner, Olav Lie, Knut-Andreas |
author_sort |
Klemetsdal, Øystein |
title |
Robust nonlinear Newton solver with adaptive interface-localized trust regions |
title_short |
Robust nonlinear Newton solver with adaptive interface-localized trust regions |
title_full |
Robust nonlinear Newton solver with adaptive interface-localized trust regions |
title_fullStr |
Robust nonlinear Newton solver with adaptive interface-localized trust regions |
title_full_unstemmed |
Robust nonlinear Newton solver with adaptive interface-localized trust regions |
title_sort |
robust nonlinear newton solver with adaptive interface-localized trust regions |
publisher |
Society of Petroleum Engineers(SPE) |
publishDate |
2019 |
url |
https://hdl.handle.net/11250/2789082 https://doi.org/10.2118/195682-PA |
long_lat |
ENVELOPE(156.767,156.767,-80.217,-80.217) |
geographic |
Olympus |
geographic_facet |
Olympus |
genre |
Norne field |
genre_facet |
Norne field |
op_source |
1576-1594 24 SPE Journal 4 |
op_relation |
Norges forskningsråd: 244361 VISTA: 6366 SPE Journal. 2019, . urn:issn:1086-055X https://hdl.handle.net/11250/2789082 https://doi.org/10.2118/195682-PA cristin:1680731 |
op_rights |
Open access. Copyright 2019, Society of Petroleum Engineers |
op_doi |
https://doi.org/10.2118/195682-PA |
container_title |
SPE Journal |
container_volume |
24 |
container_issue |
04 |
container_start_page |
1576 |
op_container_end_page |
1594 |
_version_ |
1766116395858264064 |