Vertical elliptic operator for efficient wave propagation in TTI media

Handle URI:
http://hdl.handle.net/10754/575990
Title:
Vertical elliptic operator for efficient wave propagation in TTI media
Authors:
Waheed, Umair bin ( 0000-0002-5189-0694 ) ; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Elliptic wave extrapolation operators require significantly less computational cost than the ones for transversely isotropic (TI) media. However, it does not provide accurate wavefield representation or imaging for the prevalent TI media. We propose a new vertical elliptically anisotropic (VEA) wave equation by decomposing the acoustic TI pseudo-differential wave equation. The decomposition results in a vertical elliptic differential equation and a scalar operator. The new VEA-like wave equation shares the same dispersion relation as that of the original acoustic TI wave equation. Therefore, the kinematic contents are correctly matched to the original equation. Moreover, the proposed decomposition yields better amplitude properties than the isotropic decomposition without increasing the computational load. Therefore, it exhibits better cost versus accuracy tradeoff compared to the isotropic or the tilted elliptic decompositions. We demonstrate with numerical examples that the proposed methodology is numerically stable for complex models and is free from shear-wave artifacts.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Umair bin Waheed* and Tariq Alkhalifah (2015) Vertical elliptic operator for efficient wave propagation in TTI media. SEG Technical Program Expanded Abstracts 2015: pp. 3560-3564. doi: 10.1190/segam2015-5832843.1
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2015
Issue Date:
19-Aug-2015
DOI:
10.1190/segam2015-5832843.1
Type:
Article
Additional Links:
http://library.seg.org/doi/10.1190/segam2015-5832843.1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorWaheed, Umair binen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-08-27T11:31:00Zen
dc.date.available2015-08-27T11:31:00Zen
dc.date.issued2015-08-19en
dc.identifier.citationUmair bin Waheed* and Tariq Alkhalifah (2015) Vertical elliptic operator for efficient wave propagation in TTI media. SEG Technical Program Expanded Abstracts 2015: pp. 3560-3564. doi: 10.1190/segam2015-5832843.1en
dc.identifier.doi10.1190/segam2015-5832843.1en
dc.identifier.urihttp://hdl.handle.net/10754/575990en
dc.description.abstractElliptic wave extrapolation operators require significantly less computational cost than the ones for transversely isotropic (TI) media. However, it does not provide accurate wavefield representation or imaging for the prevalent TI media. We propose a new vertical elliptically anisotropic (VEA) wave equation by decomposing the acoustic TI pseudo-differential wave equation. The decomposition results in a vertical elliptic differential equation and a scalar operator. The new VEA-like wave equation shares the same dispersion relation as that of the original acoustic TI wave equation. Therefore, the kinematic contents are correctly matched to the original equation. Moreover, the proposed decomposition yields better amplitude properties than the isotropic decomposition without increasing the computational load. Therefore, it exhibits better cost versus accuracy tradeoff compared to the isotropic or the tilted elliptic decompositions. We demonstrate with numerical examples that the proposed methodology is numerically stable for complex models and is free from shear-wave artifacts.en
dc.language.isoenen
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/segam2015-5832843.1en
dc.rightsArchived with thanks to SEG Technical Program Expanded Abstracts 2015en
dc.subjectanisotropyen
dc.subjectwave propagationen
dc.subjectwave equationen
dc.subjectmodelingen
dc.titleVertical elliptic operator for efficient wave propagation in TTI mediaen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2015en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorWaheed, Umair binen
kaust.authorAlkhalifah, Tariq Alien
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