Frequency-domain elastic full waveform inversion for VTI media

Lee, Ho-Yong; Koo, J. M.; Min, Dong‐Joo; Kwon, Bo Sang; Yoo, Hai Soo

doi:10.1111/j.1365-246x.2010.04767.x

Cited by 65 publications

(31 citation statements)

References 35 publications

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“…Diving waves, precritical and supercritical reflections, and diffractions potentially carry information of the subsurface at different resolution powers. FWI of wide-aperture and wide-azimuth data raises the issue, however, of the footprint of anisotropy in the imaging because of the potential variation in the wave speed with respect to the direction of propagation (e.g., Barnes et al, 2008;Lee et al, 2010;Plessix and Cao, 2011;Prieux et al, 2011). The need to better account for anisotropy in acoustic FWI requires to identify a suitable parameterization of the subsurface and to define the number of parameter classes within the chosen parameterization, which can be reliably reconstructed by FWI.…”

Section: Introductionmentioning

confidence: 99%

Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: Sensitivity and trade-off analysis

et al. 2013

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In most geologic environments, accounting for anisotropy is necessary to perform acoustic full waveform inversion (FWI) of wide-azimuth and wide-aperture seismic data because of the potential dependence of wave speeds on the direction of the wave propagation. In the framework of multiparameter FWI, the subsurface parameterization controls the influence of the different parameter classes on the modeled seismic data as a function of the scattering angle and hence the resolution with which the parameters can be reconstructed and the potential trade-off between different parameters. We have evaluated a numerical procedure based on computation of the scattering patterns of the different parameters to assess the sensitivity of the seismic data to different parameterizations of vertical transverse isotropic media in the acoustic approximation. Among the different categories we have tested, a monoparametric FWI was found for imaging one wave speed with a broad wavenumber content, keeping the Thomsen parameters fixed, which have a small influence on the data relative to the wave speed. This raises the question of the initial information required in the background models of the Thomsen parameters to perform reliable monoparameter FWI. Alternatively, simultaneously inverting the horizontal and vertical wave speeds introduces limited trade-off effects because these wave speeds have significant influence on the data for distinct ranges of scattering angles, while the influence of the Thomsen parameter δ remains weak. With such parameterization, the short-to-intermediate wavelengths of the vertical velocity are updated from the short-tointermediate scattering angles, while the long-to-intermediate wavelengths of the horizontal velocity are updated from the wide-to-intermediate scattering angles. We concluded that the choice of the subsurface parameterization can be driven by the acquisition geometry, which controls the scattering-angle coverage and hence the resolving power of FWI, and by the accuracy of the available initial FWI models.

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Section: Introductionmentioning

confidence: 99%

Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: Sensitivity and trade-off analysis

et al. 2013

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“…Many parameterization studies have focused on the acoustic assumption (Plessix and Cao, 2011;Gholami et al, 2013aGholami et al, , 2013bAlkhalifah and Plessix, 2014;Alkhalifah 2016), whereas studies covering elastic anisotropy were driven by the inversion application Lee et al, 2010;Kamath and Tsvankin, 2013;Oh and Min, 2014). Prieux et al (2013a) investigate the scattering patterns of parameters resulting from various parameterizations of the acoustic multiparameter FWI and propose a hierarchical inversion strategy for viscoacoustic FWI, which inverts the P-wave velocity, density, and attenuation in two stages.…”

Section: Introductionmentioning

confidence: 99%

Elastic orthorhombic anisotropic parameter inversion: An analysis of parameterization

Alkhalifah

2016

GEOPHYSICS

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CitationOh ABSTRACTThe resolution of a multiparameter full-waveform inversion (FWI) is highly influenced by the parameterization used in the inversion algorithm, as well as the data quality and the sensitivity of the data to the elastic parameters because the scattering patterns of the partial derivative wavefields (PDWs) vary with parameterization. For this reason, it is important to identify an optimal parameterization for elastic orthorhombic FWI by analyzing the radiation patterns of the PDWs for many reasonable model parameterizations. We have promoted a parameterization that allows for the separation of the anisotropic properties in the radiation patterns. The central parameter of this parameterization is the horizontal P-wave velocity, with an isotropic scattering potential, influencing the data at all scales and directions. This parameterization decouples the influence of the scattering potential given by the P-wave velocity perturbation from the polar changes described by two dimensionless parameter perturbations and from the azimuthal variation given by three additional dimensionless parameters perturbations. In addition, the scattering potentials of the P-wave velocity perturbation are also decoupled from the elastic influences given by one S-wave velocity and two additional dimensionless parameter perturbations. The vertical S-wave velocity is chosen with the best resolution obtained from S-wave reflections and converted waves, and little influence on P-waves in conventional surface seismic acquisition. The influence of the density on observed data can be absorbed by one anisotropic parameter that has a similar radiation pattern. The additional seven dimensionless parameters describe the polar and azimuth variations in the P-and S-waves that we may acquire, with some of the parameters having distinct influences on the recorded data on the earth's surface. These characteristics of the new parameterization offer the potential for a multistage inversion from high symmetry anisotropy to lower symmetry ones.

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“…The acoustic wave equation is applied for acoustic and isotropic media either in the time domain (Mora, 1987;Bunks et al, 1995;Shipp and Singh, 2002;Vigh and Starr, 2008) or in the frequency domain (Pratt and Worthington, 1990;Pratt, 1999;Sirgue and Pratt, 2004;Shin and Min, 2006;Operto et al, 2007;Yingst et al, 2011). Anisotropic wave equations are applied for anisotropic media to improve model construction Lee et al, 2010;Plessix and Rynja, 2010;Gholami et al, 2011Gholami et al, , 2012Wang et al, 2012), and elastic wave equations are applied for the more general elastic case to obtain more accurate information of subsurface media (Tarantola, 1986(Tarantola, , 1988Sears et al, 2010;Oh et al, 2012). The acoustic or elastic wave equations are adequate to describe wave propagation in lossless media and are a good choice to solve a lot of practical problems.…”

Section: Introductionmentioning

confidence: 99%

Viscoacoustic waveform inversion of velocity structures in the time domain

et al. 2014

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Because of the conversion of elastic energy into heat, seismic waves are attenuated and dispersed as they propagate. The attenuation effects can reduce the resolution of velocity models obtained from waveform inversion or even cause the inversion to produce incorrect results. Using a viscoacoustic model consisting of a single standard linear solid, we discovered a theoretical framework of viscoacoustic waveform inversion in the time domain for velocity estimation. We derived and found the viscoacoustic wave equations for forward modeling and their adjoint to compensate for the attenuation effects in viscoacoustic waveform inversion. The wave equations were numerically solved by high-order finite-difference methods on centered grids to extrapolate seismic wavefields. The finite-difference methods were implemented satisfying stability conditions, which are also presented. Numerical examples proved that the forward viscoacoustic wave equation can simulate attenuative behaviors very well in amplitude attenuation and phase dispersion. We tested acoustic and viscoacoustic waveform inversions with a modified Marmousi model and a 3D field data set from the deep-water Gulf of Mexico for comparison. The tests with the modified Marmousi model illustrated that the seismic attenuation can have large effects on waveform inversion and that choosing the most suitable inversion method was important to obtain the best inversion results for a specific seismic data volume. The tests with the field data set indicated that the inverted velocity models determined from the acoustic and viscoacoustic inversions were helpful to improve images and offset gathers obtained from migration. Compared to the acoustic inversion, viscoacoustic inversion is a realistic approach for real earth materials because the attenuation effects are compensated.

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Frequency-domain elastic full waveform inversion for VTI media

Cited by 65 publications

References 35 publications

Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: Sensitivity and trade-off analysis

Which parameterization is suitable for acoustic vertical transverse isotropic full waveform inversion? Part 1: Sensitivity and trade-off analysis

Elastic orthorhombic anisotropic parameter inversion: An analysis of parameterization

Viscoacoustic waveform inversion of velocity structures in the time domain

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