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dc.contributorMalgorzata, Peszynska-
dc.contributorShowalter, Ralph-
dc.contributorHigdon, Robert-
dc.contributorLiburdy, James-
dc.date2007-05-09T22:45:52Z-
dc.date2007-05-09T22:45:52Z-
dc.date2007-03-08-
dc.date2007-05-09T22:45:52Z-
dc.date.accessioned2013-10-16T07:47:58Z-
dc.date.available2013-10-16T07:47:58Z-
dc.date.issued2013-10-16-
dc.identifierhttp://hdl.handle.net/1957/4813-
dc.identifier.urihttp://koha.mediu.edu.my:8181/xmlui/handle/1957/4813-
dc.descriptionGraduation date: 2007-
dc.descriptionIn this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasilinear elliptic partial differential equations. To discretize the model we used lowest order Raviart-Thomas mixed finite element spaces. The resulting non-linear system is solved using fixed point iteration; we provide sufficient conditions for this iteration to converge. Then we formulate an upscaling method for non-Darcy flow extending a method by Durlofsky originally given for Darcy flow. The method computes effective coefficients which can be used to simulate the Darcy flow on a coarse grid. We compare numerical results for Darcy and non-Darcy flow and upscaling results for two scenarios; in all cases results apply to a problem with rate-specified wells.-
dc.languageen_US-
dc.subjectUpscaling-
dc.subjectMixed Finite Element Method-
dc.titleUpscaling non-Darcy flow using mixed finite element method-
dc.typeThesis-
Appears in Collections:ScholarsArchive@OSU

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