Parameter estimation in quasilinear parabolic equations oil reservoir applications

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dc.contributor.advisorChilds, S. Bart
dc.contributor.committeeMemberWitte, Larry C.
dc.contributor.committeeMemberEichberger, Le Roy C.
dc.creatorStuckenbruck, Sidney
dc.date.accessioned2022-10-06T16:32:43Z
dc.date.available2022-10-06T16:32:43Z
dc.date.issued1973
dc.description.abstractA method to determine parameters appearing in systems of nonlinear parabolic partial differential equations and associated boundary conditions is described from the point of view of obtaining numerical solutions for the inverse problem. The method utilizes a generalized Newton-Raphson method, finite differences and least squares fitting criteria to estimate the parameters. The unknown parameters are allowed to have a nonuniform distribution over the domain of the space variables. Numerical results are presented for a number of problems related to the estimation of certain parameters (porosity and permeability) appearing in oil reservoir problems. The results indicate that the generalized Newton-Raphson method yield accurate estimates for the parameters within a reasonable number of iterations. The effects of the initial estimates, number of unknown parameters, false zonation and noise on the data are considered. It is found that the generalized Newton-Raphson method is an efficient method to estimate distributed parameters in partial differential equations.
dc.description.departmentMechanical Engineering, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13866244
dc.identifier.urihttps://hdl.handle.net/10657/12228
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleParameter estimation in quasilinear parabolic equations oil reservoir applications
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCullen College of Engineering
thesis.degree.departmentMechanical Engineering, Department of
thesis.degree.disciplineMechanical Engineering
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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