Inversion gradients for acoustic VTI wavefield tomography

© 2017 Society of Exploration Geophysicists. All rights reserved. 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 w...

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Main Authors: Li, V., Wang, Hui, Tsvankin, Ilya, Díaz, E., Alkhalifah, T.
Format: Journal Article
Published: Society of Exploration Geophysics 2017
Online Access:http://hdl.handle.net/20.500.11937/71525
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author Li, V.
Wang, Hui
Tsvankin, Ilya
Díaz, E.
Alkhalifah, T.
author_facet Li, V.
Wang, Hui
Tsvankin, Ilya
Díaz, E.
Alkhalifah, T.
author_sort Li, V.
building Curtin Institutional Repository
collection Online Access
description © 2017 Society of Exploration Geophysicists. All rights reserved. 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 ?.
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institution Curtin University Malaysia
institution_category Local University
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publisher Society of Exploration Geophysics
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spelling curtin-20.500.11937-715252018-12-13T09:32:39Z Inversion gradients for acoustic VTI wavefield tomography Li, V. Wang, Hui Tsvankin, Ilya Díaz, E. Alkhalifah, T. © 2017 Society of Exploration Geophysicists. All rights reserved. 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 ?. 2017 Journal Article http://hdl.handle.net/20.500.11937/71525 10.1190/GEO2016-0624.1 Society of Exploration Geophysics restricted
spellingShingle Li, V.
Wang, Hui
Tsvankin, Ilya
Díaz, E.
Alkhalifah, T.
Inversion gradients for acoustic VTI wavefield tomography
title Inversion gradients for acoustic VTI wavefield tomography
title_full Inversion gradients for acoustic VTI wavefield tomography
title_fullStr Inversion gradients for acoustic VTI wavefield tomography
title_full_unstemmed Inversion gradients for acoustic VTI wavefield tomography
title_short Inversion gradients for acoustic VTI wavefield tomography
title_sort inversion gradients for acoustic vti wavefield tomography
url http://hdl.handle.net/20.500.11937/71525