A Nonlinear Differential Semblance Algorithm for Waveform Inversion

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dc.contributor.advisorSymes, William W.
dc.contributor.committeeMemberHeinkenschloss, Matthias
dc.contributor.committeeMemberZhang, Yin
dc.contributor.committeeMemberZelt, Colin A.
dc.creatorSun, Dong
dc.date.accessioned2013-07-24T19:48:25Z
dc.date.accessioned2013-07-24T19:48:31Z
dc.date.available2013-07-24T19:48:25Z
dc.date.available2013-07-24T19:48:31Z
dc.date.created2012-12
dc.date.issued2013-07-24
dc.date.submittedDecember 2012
dc.date.updated2013-07-24T19:48:32Z
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.
dc.format.mimetypeapplication/pdf
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>.
dc.identifier.slug123456789/ETD-2012-12-321
dc.identifier.urihttps://hdl.handle.net/1911/71694
dc.language.isoeng
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.
dc.subjectWaveform inversion
dc.subjectNonlinear differential semblance optimization
dc.subjectExtended modeling
dc.subjectLow-frequency control
dc.titleA Nonlinear Differential Semblance Algorithm for Waveform Inversion
dc.typeThesis
dc.type.materialText
thesis.degree.departmentComputational and Applied Mathematics
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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