The nonlinear differential semblance algorithm for plane waves in layered media

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dc.contributor.advisorSymes, William W.en_US
dc.creatorSun, Dongen_US
dc.date.accessioned2018-12-03T18:31:48Zen_US
dc.date.available2018-12-03T18:31:48Zen_US
dc.date.issued2008en_US
dc.description.abstractThis thesis proposes an alternative approach to the output least-squares (OLS) seismic inversion for layered-media. The latter cannot guarantee a reliable solution for either synthetic or field data, because of the existence of many spurious local minima of the objective function for typical data, which lack low-frequency energy. To recover the low-frequency lacuna of typical data, I formulate waveform inversion into a differential semblance optimization (DSO) problem with artificial low-frequency data as control variables. To my knowledge, this approach is the first version of differential semblance with non-linear modeling that may properly account for nonlinear effects of wave propagation, such as multiple reflections. Numerical experiments with synthetic data indicate the smoothness and convexity of the proposed objective function. These results suggest that gradient-related algorithms may successfully approximate a global minimizer from a crude initial guess for typical band-limited data.en_US
dc.format.extent79 ppen_US
dc.identifier.callnoTHESIS MATH. SCI. 2009 SUN [Dong]en_US
dc.identifier.citationSun, Dong. "The nonlinear differential semblance algorithm for plane waves in layered media." (2008) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/103605">https://hdl.handle.net/1911/103605</a>.en_US
dc.identifier.digital304510345en_US
dc.identifier.urihttps://hdl.handle.net/1911/103605en_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.subjectGeophysicsen_US
dc.subjectMathematicsen_US
dc.subjectPure sciencesen_US
dc.subjectEarth sciencesen_US
dc.titleThe nonlinear differential semblance algorithm for plane waves in layered mediaen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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