Modeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods

Handle URI:
http://hdl.handle.net/10754/626760
Title:
Modeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods
Authors:
Hoteit, Hussein ( 0000-0002-3900-7272 ) ; Firoozabadi, Abbas
Abstract:
Computation of the distribution of species in hydrocarbon reservoirs from diffusions (thermal, molecular, and pressure) and natural convection is an important step in reservoir initialization. Current methods, which are mainly based on the conventional finite difference approach, may not be numerically efficient in fractured and other media with complex heterogeneities. In this work, the discontinuous Galerkin (DG) method combined with the mixed finite element (MFE) method is used for the calculation of compositional variation in fractured hydrocarbon reservoirs. The use of unstructured gridding allows efficient computations for fractured media when the crossflow equilibrium concept is invoked. The DG method has less numerical dispersion than the upwind finite difference (FD) methods. The MFE method ensures continuity of fluxes at the interface of the grid elements. We also use the local discontinuous Galerkin (LDG) method instead of the MFE calculate the diffusion fluxes. Results from several numerical examples are presented to demonstrate the efficiency, robustness, and accuracy of the model. Various features of convection and diffusion in homogeneous, layered, and fractured media are also discussed.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
Citation:
Hoteit H, Firoozabadi A (2017) Modeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods. International Journal for Numerical Methods in Engineering. Available: http://dx.doi.org/10.1002/nme.5753.
Publisher:
Wiley-Blackwell
Journal:
International Journal for Numerical Methods in Engineering
Issue Date:
29-Dec-2017
DOI:
10.1002/nme.5753
Type:
Article
ISSN:
0029-5981
Additional Links:
http://onlinelibrary.wiley.com/doi/10.1002/nme.5753/abstract
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Upstream Petroleum Engineering Research Center (UPERC)

Full metadata record

DC FieldValue Language
dc.contributor.authorHoteit, Husseinen
dc.contributor.authorFiroozabadi, Abbasen
dc.date.accessioned2018-01-15T06:10:40Z-
dc.date.available2018-01-15T06:10:40Z-
dc.date.issued2017-12-29en
dc.identifier.citationHoteit H, Firoozabadi A (2017) Modeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods. International Journal for Numerical Methods in Engineering. Available: http://dx.doi.org/10.1002/nme.5753.en
dc.identifier.issn0029-5981en
dc.identifier.doi10.1002/nme.5753en
dc.identifier.urihttp://hdl.handle.net/10754/626760-
dc.description.abstractComputation of the distribution of species in hydrocarbon reservoirs from diffusions (thermal, molecular, and pressure) and natural convection is an important step in reservoir initialization. Current methods, which are mainly based on the conventional finite difference approach, may not be numerically efficient in fractured and other media with complex heterogeneities. In this work, the discontinuous Galerkin (DG) method combined with the mixed finite element (MFE) method is used for the calculation of compositional variation in fractured hydrocarbon reservoirs. The use of unstructured gridding allows efficient computations for fractured media when the crossflow equilibrium concept is invoked. The DG method has less numerical dispersion than the upwind finite difference (FD) methods. The MFE method ensures continuity of fluxes at the interface of the grid elements. We also use the local discontinuous Galerkin (LDG) method instead of the MFE calculate the diffusion fluxes. Results from several numerical examples are presented to demonstrate the efficiency, robustness, and accuracy of the model. Various features of convection and diffusion in homogeneous, layered, and fractured media are also discussed.en
dc.publisherWiley-Blackwellen
dc.relation.urlhttp://onlinelibrary.wiley.com/doi/10.1002/nme.5753/abstracten
dc.rightsThis is the peer reviewed version of the following article: Modeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods, which has been published in final form at http://doi.org/10.1002/nme.5753. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.en
dc.subjectCompositional modelingen
dc.subjectfractured porous mediaen
dc.subjectdiscrete fracture modelen
dc.subjectconvection-diffusion flow equationsen
dc.subjectmixed finite element methoden
dc.subjectdiscontinuous Galerkin methoden
dc.titleModeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methodsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentAli I. Al-Naimi Petroleum Engineering Research Center (ANPERC)en
dc.identifier.journalInternational Journal for Numerical Methods in Engineeringen
dc.eprint.versionPost-printen
dc.contributor.institutionRERI and Yale University; Palo Alto, California USAen
kaust.authorHoteit, Husseinen
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