Complexity Reduction of Multiphase Flows in Heterogeneous Porous Media

Handle URI:
http://hdl.handle.net/10754/593272
Title:
Complexity Reduction of Multiphase Flows in Heterogeneous Porous Media
Authors:
Ghommem, Mehdi; Gildin, Eduardo; Ghasemi, Mohammadreza
Abstract:
In this paper, we apply mode decomposition and interpolatory projection methods to speed up simulations of two-phase flows in heterogeneous porous media. We propose intrusive and nonintrusive model-reduction approaches that enable a significant reduction in the size of the subsurface flow problem while capturing the behavior of the fully resolved solutions. In one approach, we use the dynamic mode decomposition. This approach does not require any modification of the reservoir simulation code but rather post-processes a set of global snapshots to identify the dynamically relevant structures associated with the flow behavior. In the second approach, we project the governing equations of the velocity and the pressure fields on the subspace spanned by their proper-orthogonal-decomposition modes. Furthermore, we use the discrete empirical interpolation method to approximate the mobility-related term in the global-system assembly and then reduce the online computational cost and make it independent of the fine grid. To show the effectiveness and usefulness of the aforementioned approaches, we consider the SPE-10 benchmark permeability field, and present a numerical example in two-phase flow. One can efficiently use the proposed model-reduction methods in the context of uncertainty quantification and production optimization.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Complexity Reduction of Multiphase Flows in Heterogeneous Porous Media 2015 SPE Journal
Publisher:
Society of Petroleum Engineers (SPE)
Journal:
SPE Journal
Issue Date:
22-Apr-2015
DOI:
10.2118/167295-PA
Type:
Article
ISSN:
1086-055X
Additional Links:
http://www.onepetro.org/doi/10.2118/167295-PA
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGhommem, Mehdien
dc.contributor.authorGildin, Eduardoen
dc.contributor.authorGhasemi, Mohammadrezaen
dc.date.accessioned2016-01-11T13:25:49Zen
dc.date.available2016-01-11T13:25:49Zen
dc.date.issued2015-04-22en
dc.identifier.citationComplexity Reduction of Multiphase Flows in Heterogeneous Porous Media 2015 SPE Journalen
dc.identifier.issn1086-055Xen
dc.identifier.doi10.2118/167295-PAen
dc.identifier.urihttp://hdl.handle.net/10754/593272en
dc.description.abstractIn this paper, we apply mode decomposition and interpolatory projection methods to speed up simulations of two-phase flows in heterogeneous porous media. We propose intrusive and nonintrusive model-reduction approaches that enable a significant reduction in the size of the subsurface flow problem while capturing the behavior of the fully resolved solutions. In one approach, we use the dynamic mode decomposition. This approach does not require any modification of the reservoir simulation code but rather post-processes a set of global snapshots to identify the dynamically relevant structures associated with the flow behavior. In the second approach, we project the governing equations of the velocity and the pressure fields on the subspace spanned by their proper-orthogonal-decomposition modes. Furthermore, we use the discrete empirical interpolation method to approximate the mobility-related term in the global-system assembly and then reduce the online computational cost and make it independent of the fine grid. To show the effectiveness and usefulness of the aforementioned approaches, we consider the SPE-10 benchmark permeability field, and present a numerical example in two-phase flow. One can efficiently use the proposed model-reduction methods in the context of uncertainty quantification and production optimization.en
dc.language.isoenen
dc.publisherSociety of Petroleum Engineers (SPE)en
dc.relation.urlhttp://www.onepetro.org/doi/10.2118/167295-PAen
dc.rightsArchived with thanks to SPE Journalen
dc.titleComplexity Reduction of Multiphase Flows in Heterogeneous Porous Mediaen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalSPE Journalen
dc.eprint.versionPost-printen
dc.contributor.institutionSchlumbergeren
dc.contributor.institutionTexas A&M Universityen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorGhommem, Mehdien
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