Filtering random layering effects for imaging and velocity estimation

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dc.contributor.advisorBorcea, Liliana
dc.creatorGonzalez del Cueto, Fernando
dc.date.accessioned2018-12-03T18:32:02Z
dc.date.available2018-12-03T18:32:02Z
dc.date.issued2008
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.
dc.format.extent90 pp
dc.identifier.callnoTHESIS MATH.SCI. 2009 GONZALEZ DEL CUETO
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>.
dc.identifier.digital304532352
dc.identifier.urihttps://hdl.handle.net/1911/103634
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.subjectMathematics
dc.subjectRemote sensing
dc.subjectAcoustics
dc.subjectPure sciences
dc.subjectEarth sciences
dc.subjectArray imaging
dc.subjectInverse scattering
dc.subjectLayered media
dc.subjectMultiple scattering
dc.subjectRandom media
dc.titleFiltering random layering effects for imaging and velocity estimation
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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