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dc.contributor.authorHoteit, Hussein
dc.contributor.authorFiroozabadi, Abbas
dc.date.accessioned2018-01-15T06:10:40Z
dc.date.available2018-01-15T06:10:40Z
dc.date.issued2017-12-29
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.
dc.identifier.issn0029-5981
dc.identifier.doi10.1002/nme.5753
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.
dc.publisherWiley-Blackwell
dc.relation.urlhttp://onlinelibrary.wiley.com/doi/10.1002/nme.5753/abstract
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.
dc.subjectCompositional modeling
dc.subjectfractured porous media
dc.subjectdiscrete fracture model
dc.subjectconvection-diffusion flow equations
dc.subjectmixed finite element method
dc.subjectdiscontinuous Galerkin method
dc.titleModeling of Multicomponent Diffusions and Natural Convection in Unfractured and Fractured Media by Discontinuous Galerkin and Mixed Methods
dc.typeArticle
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentAli I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
dc.identifier.journalInternational Journal for Numerical Methods in Engineering
dc.eprint.versionPost-print
dc.contributor.institutionRERI and Yale University; Palo Alto, California USA
kaust.personHoteit, Hussein


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