Complexity reduction of multi-phase flows in heterogeneous porous media

Handle URI:
http://hdl.handle.net/10754/564668
Title:
Complexity reduction of multi-phase flows in heterogeneous porous media
Authors:
Ghommem, Mehdi; Calo, Victor M. ( 0000-0002-1805-4045 ) ; Efendiev, Yalchin R. ( 0000-0001-9626-303X ) ; Gildin, Eduardo G.
Abstract:
In this paper, we apply mode decomposition and interpolatory projection methods to speed up simulations of two-phase flows in highly heterogeneous porous media. We propose intrusive and non-intrusive model reduction approaches that enable a significant reduction in the dimension of the flow problem size while capturing the behavior of the fully-resolved solutions. In one approach, we employ the dynamic mode decomposition (DMD) and the discrete empirical interpolation method (DEIM). This approach does not require any modification of the reservoir simulation code but rather postprocesses a set of global snapshots to identify the dynamically-relevant structures associated with the flow behavior. In a second approach, we project the governing equations of the velocity and the pressure fields on the subspace spanned by their proper orthogonal decomposition (POD) modes. Furthermore, we use DEIM 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 variety of numerical examples of two-phase flow and transport. The proposed model reduction methods can be efficiently used when performing uncertainty quantification or optimization studies and history matching.
KAUST Department:
Applied Mathematics and Computational Science Program; Biological and Environmental Sciences and Engineering (BESE) Division; Numerical Porous Media SRI Center (NumPor); Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Society of Petroleum Engineers (SPE)
Journal:
SPE Kuwait Oil and Gas Show and Conference
Conference/Event name:
Kuwait Oil and Gas Show and Conference, KOGS 2013
Issue Date:
2013
DOI:
10.2118/167295-ms
Type:
Conference Paper
ISBN:
9781629932149
Appears in Collections:
Conference Papers; Environmental Science and Engineering Program; Applied Mathematics and Computational Science Program; Physical Sciences and Engineering (PSE) Division; Biological and Environmental Sciences and Engineering (BESE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorGhommem, Mehdien
dc.contributor.authorCalo, Victor M.en
dc.contributor.authorEfendiev, Yalchin R.en
dc.contributor.authorGildin, Eduardo G.en
dc.date.accessioned2015-08-04T07:11:38Zen
dc.date.available2015-08-04T07:11:38Zen
dc.date.issued2013en
dc.identifier.isbn9781629932149en
dc.identifier.doi10.2118/167295-msen
dc.identifier.urihttp://hdl.handle.net/10754/564668en
dc.description.abstractIn this paper, we apply mode decomposition and interpolatory projection methods to speed up simulations of two-phase flows in highly heterogeneous porous media. We propose intrusive and non-intrusive model reduction approaches that enable a significant reduction in the dimension of the flow problem size while capturing the behavior of the fully-resolved solutions. In one approach, we employ the dynamic mode decomposition (DMD) and the discrete empirical interpolation method (DEIM). This approach does not require any modification of the reservoir simulation code but rather postprocesses a set of global snapshots to identify the dynamically-relevant structures associated with the flow behavior. In a second approach, we project the governing equations of the velocity and the pressure fields on the subspace spanned by their proper orthogonal decomposition (POD) modes. Furthermore, we use DEIM 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 variety of numerical examples of two-phase flow and transport. The proposed model reduction methods can be efficiently used when performing uncertainty quantification or optimization studies and history matching.en
dc.publisherSociety of Petroleum Engineers (SPE)en
dc.titleComplexity reduction of multi-phase flows in heterogeneous porous mediaen
dc.typeConference Paperen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentBiological and Environmental Sciences and Engineering (BESE) Divisionen
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)en
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalSPE Kuwait Oil and Gas Show and Conferenceen
dc.conference.date7 October 2013 through 10 October 2013en
dc.conference.nameKuwait Oil and Gas Show and Conference, KOGS 2013en
dc.conference.locationMishrefen
dc.contributor.institutionDepartment of Mathematics and ISC, Texas A and M University, College Station, TX, United Statesen
dc.contributor.institutionDepartment of Petroleum Engineering, Texas A and M University, College Station, TX, United Statesen
kaust.authorGhommem, Mehdien
kaust.authorCalo, Victor M.en
kaust.authorEfendiev, Yalchin R.en
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