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dc.contributor.advisor Riviere, Beatrice M.
dc.creatorLi, Jizhou
dc.date.accessioned 2013-09-16T15:48:36Z
dc.date.accessioned 2013-09-16T15:48:47Z
dc.date.available 2013-09-16T15:48:36Z
dc.date.available 2013-09-16T15:48:47Z
dc.date.created 2013-05
dc.date.issued 2013-09-16
dc.date.submitted May 2013
dc.identifier.urihttps://hdl.handle.net/1911/71985
dc.description.abstract The miscible displacement equations provide the mathematical model for simulating the displacement of a mixture of oil and miscible fluid in underground reservoirs during the Enhance Oil Recovery(EOR) process. In this thesis, I propose a stable numerical scheme combining a mixed finite element method and space-time discontinuous Galerkin method for solving miscible displacement equations under low regularity assumption. Convergence of the discrete solution is investigated using a compactness theorem for functions that are discontinuous in space and time. Numerical experiments illustrate that the rate of convergence is improved by using a high order time stepping method. For petroleum engineers, it is essential to compute finely detailed fluid profiles in order to design efficient recovery procedure thereby increase production in the EOR process. The method I propose takes advantage of both high order time approximation and discontinuous Galerkin method in space and is capable of providing accurate numerical solutions to assist in increasing the production rate of the miscible displacement oil recovery process.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectDiscontinuous Galerkin
Miscible displacement
Low regularity
High order time discretization
Mixed finite element method
Stability
Compactness
dc.title Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity
dc.contributor.committeeMember Heinkenschloss, Matthias
dc.contributor.committeeMember Symes, William W.
dc.contributor.committeeMember Warburton, Tim
dc.date.updated 2013-09-16T15:48:47Z
dc.identifier.slug 123456789/ETD-2013-05-539
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.citation Li, Jizhou. "Locally Mass-Conservative Method With Discontinuous Galerkin In Time For Solving Miscible Displacement Equations Under Low Regularity." (2013) Master’s Thesis, Rice University. https://hdl.handle.net/1911/71985.


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