Analysis of nonlinear Darcy-Forchheimer flows in porous media

Simple item page
dc.contributor.committeeChairAulisa, Eugenio
dc.contributor.committeeChairIbragimov, Akif
dc.contributor.committeeMemberKirby, Robert C.
dc.contributor.committeeMemberRengasamy, Raghunathan
dc.creatorCakmak, Adem
dc.date.accessioned2016-11-14T23:26:17Z
dc.date.available2011-02-18T18:56:51Z
dc.date.available2016-11-14T23:26:17Z
dc.date.issued2009-08
dc.degree.departmentMathematicsen_US
dc.description.abstractThis thesis is focused on certain theoretical aspects of nonlinear non-Darcy flows in porous media, and their application in reservoir and hydraulic engineering. The goal of this work is to develop a mathematically rigorous framework to study the dynamical processes associated to all three classical nonlinear Forchheimer laws for slightly compressible fluids. In our approach each anisotropic Forchheimer equation is replaced by a constitutive equation which relates the velocity vector field with the pressure gradient in a non-linear way. This allows reducing the original system of equations to one degenerate parabolic equation for the pressure only. It is shown that under some hydrodynamic and thermodynamic constraints there exists stable equilibrium: pseudo-steady state regime for the Forchheimer flows in porous media, which serves as a global attractor for wide classes of the flows yielding an alternative time independent computation of productivity index/diffusive capacity of a well.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2346/8729en_US
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.rights.availabilityUnrestricted.
dc.subjectNonlinear Darcy-Forchheimer flowen_US
dc.subjectPorous mediaen_US
dc.titleAnalysis of nonlinear Darcy-Forchheimer flows in porous media
dc.typeDissertation

Files

Collections

Texas Tech University