A Nonlinear Differential Semblance Algorithm for Waveform Inversion

dc.contributor.advisorSymes, William W.en_US
dc.contributor.committeeMemberHeinkenschloss, Matthiasen_US
dc.contributor.committeeMemberZhang, Yinen_US
dc.contributor.committeeMemberZelt, Colin A.en_US
dc.creatorSun, Dongen_US
dc.date.accessioned2013-07-24T19:48:25Zen_US
dc.date.accessioned2013-07-24T19:48:31Zen_US
dc.date.available2013-07-24T19:48:25Zen_US
dc.date.available2013-07-24T19:48:31Zen_US
dc.date.created2012-12en_US
dc.date.issued2013-07-24en_US
dc.date.submittedDecember 2012en_US
dc.date.updated2013-07-24T19:48:32Zen_US
dc.description.abstractThis thesis proposes a nonlinear differential semblance approach to full waveform inversion as an alternative to standard least squares inversion, which cannot guarantee a reliable solution, because of the existence of many spurious local minima of the objective function for typical data that lacks low-frequency energy. Nonlinear differential semblance optimization combines the ability of full waveform inversion to account for nonlinear physical effects, such as multiple reflections, with the tendency of differential semblance migration velocity analysis to avoid local minima. It borrows the gather-flattening concept from migration velocity analysis, and updates the velocity by flattening primaries-only gathers obtained via nonlinear inversion. I describe a general formulation of this algorithm, its main components and implementation. Numerical experiments show for simple layered models, standard least squares inversion fails, whereas nonlinear differential semblance succeeds in constructing a kinematically correct model and fitting the data rather precisely.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationSun, Dong. "A Nonlinear Differential Semblance Algorithm for Waveform Inversion." (2013) Diss., Rice University. <a href="https://hdl.handle.net/1911/71694">https://hdl.handle.net/1911/71694</a>.en_US
dc.identifier.slug123456789/ETD-2012-12-321en_US
dc.identifier.urihttps://hdl.handle.net/1911/71694en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectWaveform inversionen_US
dc.subjectNonlinear differential semblance optimizationen_US
dc.subjectExtended modelingen_US
dc.subjectLow-frequency controlen_US
dc.titleA Nonlinear Differential Semblance Algorithm for Waveform Inversionen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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