Filtering random layering effects for imaging and velocity estimation

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dc.contributor.advisorBorcea, Lilianaen_US
dc.creatorGonzalez del Cueto, Fernandoen_US
dc.date.accessioned2018-12-03T18:32:02Zen_US
dc.date.available2018-12-03T18:32:02Zen_US
dc.date.issued2008en_US
dc.description.abstractImaging compactly supported reflectors in highly heterogeneous media is a challenging problem due to the significant interaction of waves with the medium which causes considerable delay spread and loss of coherence. The imaging problem consists in finding the support of small reflectors using recorded echoes at an array of sensors. The thesis considers the case of randomly layered media, in which significant multiple scattering by the layered structures and quick loss of coherence is observed. These strong, backscattered echoes from the layers can overwhelm the weaker coherent signals due to the compactly supported reflectors. This signal-to-noise problem must be addressed to image effectively. Using techniques routinely used in exploration seismology, filters (layer annihilators) are designed to remove the primary reflections of the stronger layered features in the medium. However, it observed that these filters also remove the incoherent signal that is due to the fine, random layers. The main achievement of this thesis is the theoretical and numerical analysis of this phenomenon. Additionally, the applicability of the layer annihilators for velocity estimation is presented.en_US
dc.format.extent90 ppen_US
dc.identifier.callnoTHESIS MATH.SCI. 2009 GONZALEZ DEL CUETOen_US
dc.identifier.citationGonzalez del Cueto, Fernando. "Filtering random layering effects for imaging and velocity estimation." (2008) Diss., Rice University. <a href="https://hdl.handle.net/1911/103634">https://hdl.handle.net/1911/103634</a>.en_US
dc.identifier.digital304532352en_US
dc.identifier.urihttps://hdl.handle.net/1911/103634en_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.subjectMathematicsen_US
dc.subjectRemote sensingen_US
dc.subjectAcousticsen_US
dc.subjectPure sciencesen_US
dc.subjectEarth sciencesen_US
dc.subjectArray imagingen_US
dc.subjectInverse scatteringen_US
dc.subjectLayered mediaen_US
dc.subjectMultiple scatteringen_US
dc.subjectRandom mediaen_US
dc.titleFiltering random layering effects for imaging and velocity estimationen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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