Inversion gradients for acoustic VTI wavefield tomography

Handle URI:
http://hdl.handle.net/10754/623093
Title:
Inversion gradients for acoustic VTI wavefield tomography
Authors:
Li, Vladimir; Wang, Hui; Tsvankin, Ilya; Díaz, Esteban; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Wavefield tomography can handle complex subsurface geology better than ray-based techniques and, ultimately, provide a higher resolution. Here, we implement forward and adjoint wavefield extrapolation for VTI (transversely isotropic with a vertical symmetry axis) media using a generalized pseudospectral operator based on a separable approximation for the P-wave dispersion relation. This operator is employed to derive the gradients of the differential semblance optimization (DSO) and modified image-power objective functions. We also obtain the gradient expressions for a data-domain objective function that can more easily incorporate borehole information necessary for stable VTI velocity analysis. These gradients are similar to the ones obtained with a space-time finite-difference (FD) scheme for a system of coupled wave equations but the pseudospectral method is not hampered by the imprint of the shear-wave artifact. Numerical examples also show the potential advantages of the modified image-power objective function in estimating the anellipticity parameter η.
KAUST Department:
King Abdullah University of Science and Technology..
Citation:
Li V, Wang H, Tsvankin I, Díaz E, Alkhalifah T (2017) Inversion gradients for acoustic VTI wavefield tomography. GEOPHYSICS: 1–72. Available: http://dx.doi.org/10.1190/geo2016-0624.1.
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
21-Mar-2017
DOI:
10.1190/geo2016-0624.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
We thank Paul Fowler, Jorg Schleicher, and the A(nisotropy)- and i(maging)-Teams at CWP for fruitful discussions. We also thank associate editor Igor Ravve and reviewers Alexey Stovas, Jiubing Cheng, and Junzhe Sun for their helpful comments. This work was supported by the Consortium Project on Seismic Inverse Methods for Complex Structures at CWP and the competitive research funding from King Abdullah University of Science and Technology (KAUST). The reproducible numeric examples in this paper are generated with the Madagascar open-source software package (Fomel et al., 2013a) freely available from http://www.ahay.org.
Additional Links:
http://library.seg.org/doi/10.1190/geo2016-0624.1
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorLi, Vladimiren
dc.contributor.authorWang, Huien
dc.contributor.authorTsvankin, Ilyaen
dc.contributor.authorDíaz, Estebanen
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2017-04-10T07:49:51Z-
dc.date.available2017-04-10T07:49:51Z-
dc.date.issued2017-03-21en
dc.identifier.citationLi V, Wang H, Tsvankin I, Díaz E, Alkhalifah T (2017) Inversion gradients for acoustic VTI wavefield tomography. GEOPHYSICS: 1–72. Available: http://dx.doi.org/10.1190/geo2016-0624.1.en
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/geo2016-0624.1en
dc.identifier.urihttp://hdl.handle.net/10754/623093-
dc.description.abstractWavefield tomography can handle complex subsurface geology better than ray-based techniques and, ultimately, provide a higher resolution. Here, we implement forward and adjoint wavefield extrapolation for VTI (transversely isotropic with a vertical symmetry axis) media using a generalized pseudospectral operator based on a separable approximation for the P-wave dispersion relation. This operator is employed to derive the gradients of the differential semblance optimization (DSO) and modified image-power objective functions. We also obtain the gradient expressions for a data-domain objective function that can more easily incorporate borehole information necessary for stable VTI velocity analysis. These gradients are similar to the ones obtained with a space-time finite-difference (FD) scheme for a system of coupled wave equations but the pseudospectral method is not hampered by the imprint of the shear-wave artifact. Numerical examples also show the potential advantages of the modified image-power objective function in estimating the anellipticity parameter η.en
dc.description.sponsorshipWe thank Paul Fowler, Jorg Schleicher, and the A(nisotropy)- and i(maging)-Teams at CWP for fruitful discussions. We also thank associate editor Igor Ravve and reviewers Alexey Stovas, Jiubing Cheng, and Junzhe Sun for their helpful comments. This work was supported by the Consortium Project on Seismic Inverse Methods for Complex Structures at CWP and the competitive research funding from King Abdullah University of Science and Technology (KAUST). The reproducible numeric examples in this paper are generated with the Madagascar open-source software package (Fomel et al., 2013a) freely available from http://www.ahay.org.en
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2016-0624.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.titleInversion gradients for acoustic VTI wavefield tomographyen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology..en
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPost-printen
dc.contributor.institutionCenter forWave Phenomena, Colorado School of Mines..en
kaust.authorAlkhalifah, Tariq Alien
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