Visco-acoustic least-squares reverse time migration in TTI media and application to OBN data

Jin, Side; Kuehl, Henning; Kiehn, Michael; Plessix, Rene-Edward; Wittmann-Hohlbein, Martina

doi:10.1190/segam2019-3215588.1

Cited by 4 publications

(2 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(2020) presented LSRTMs based on a pure qP‐wave equation for TTI and VTI media, respectively. Q‐compensated LSRTM in TTI media also have arisen in recent years (Gu et al., 2022; Jin et al., 2019). As in the VTI case, these schemes aim not only dealing with the kinematic attribute of anisotropic media but also the amplitude loss due to seismic anelasticity, another existing property in real subsurface media.…”

Section: Introductionmentioning

confidence: 99%

“…In an effort to deal with these imaging quality issues in such environments, some linearized inversion methods incorporating anisotropy have been proposed, Huang et al (2016) developed an LSRTM in plane-wave domain for vertical transverse isotropic media (VTI), Qu et al (2017) took into consideration not only anisotropy but also the attenuating properties of media to build a compensated-amplitude VTI LSRTM, Huang et al (2018) used an LSRTM based on the decoupled P-wave equations in the time-wavenumber domain for imaging fault/fracture zones for geothermal exploration in tilted transverse isotropic media (TTI) and very recently Mu et al (2020) and Huang et al (2020) presented LSRTMs based on a pure qP-wave equation for TTI and VTI media, respectively. Q-compensated LSRTM in TTI media also have arisen in recent years (Gu et al, 2022;Jin et al, 2019). As in the VTI case, these schemes aim not only dealing with the kinematic attribute of anisotropic media but also the amplitude loss due to seismic anelasticity, another existing property in real subsurface media.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fast least‐squares reverse time migration based on stable pseudo‐acoustic wave equations for tilted transverse isotropic media

Mojica

Pestana

Souza

2023

Geophysical Prospecting

View full text Add to dashboard Cite

Conventional tools for seismic imaging normally ignore the anisotropy of the media to produce images of the subsurface, and such omission reduces the quality of the images. Therefore, it is necessary to develop methods which account for subsurface anisotropic properties in order to produce more accurate images. In this paper, we present a least‐squares reverse time migration based on the coupled pseudo‐acoustic equations for tilted transverse isotropic media. Thus, from the stable pseudo‐acoustic wave equation for such media, we derive the linearized modelling (Born modelling) and adjoint migration operators to implement a least‐squares reverse time migration. Then, to save time and effort on development, while ensuring optimal performance of the inversion, we based our implementation on the domain‐specific language Devito, which, in turn, allowed us to easily verify the correctness of the developed operators. Synthetic examples demonstrate the validity of our approach in dealing with tilted transverse isotropic media.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fast least‐squares reverse time migration based on stable pseudo‐acoustic wave equations for tilted transverse isotropic media

Mojica

Pestana

Souza

2023

Geophysical Prospecting

View full text Add to dashboard Cite

show abstract

Attenuation Compensation and Anisotropy Correction in Reverse Time Migration for Attenuating Tilted Transversely Isotropic Media

Huang

et al. 2022

Surv Geophys

View full text Add to dashboard Cite

Modeling of pure visco-qP-wave propagation in attenuating tilted transversely isotropic media based on decoupled fractional Laplacians

Huang

Yang

et al. 2022

GEOPHYSICS

View full text Add to dashboard Cite

The pseudo-viscoacoustic anisotropic wave equation is widely used in the oil and gas industry for modeling wavefields in attenuating anisotropic media. Compared with the full viscoelastic anisotropic wave equation, it can greatly reduce the computational cost of wavefield modeling while maintaining the visco-qP-wave kinematics very well. However, even if we place the source in a thin isotropic layer, there will be some unwanted shear wave artifacts in the qP-wave field simulated by the pseudo-viscoacoustic anisotropic wave equation due to the stepped approximation of inclined layer interfaces. Furthermore, the wavefield simulated by the pseudo-viscoacoustic anisotropic wave equation may suffer from numerical instabilities when the anisotropy parameter epsilon is less than delta. To overcome these problems, we derive a pure-viscoacoustic TTI wave equation in media with anisotropy in velocity and attenuation based on the exact complex-valued phase velocity formula. The pure-viscoacoustic TTI wave equation has decoupled amplitude dissipation and phase dispersion terms, which is suitable for further reverse time migration with Q-compensation. For numerical simulations, we adopt the second-order Taylor series expansion to replace the mixed-domain spatially variable fractional Laplacian operator, which guarantees the decoupling of the wavenumber from the space-related fractional order. Then, we use an efficient and stable hybrid finite-difference and pseudo-spectral method to solve the pure-viscoacoustic TTI wave equation. Numerical tests indicate that the simulation results of the newly derived pure-viscoacoustic TTI wave equation are stable, free from shear wave artifacts, and accurate. We further demonstrate that hybrid finite-difference and pseudo-spectral method outperforms pseudo-spectral method in terms of numerical simulation stability and computing efficiency.

show abstract

Visco-acoustic least-squares reverse time migration in TTI media and application to OBN data

Cited by 4 publications

References 12 publications

Fast least‐squares reverse time migration based on stable pseudo‐acoustic wave equations for tilted transverse isotropic media

Fast least‐squares reverse time migration based on stable pseudo‐acoustic wave equations for tilted transverse isotropic media

Attenuation Compensation and Anisotropy Correction in Reverse Time Migration for Attenuating Tilted Transversely Isotropic Media

Modeling of pure visco-qP-wave propagation in attenuating tilted transversely isotropic media based on decoupled fractional Laplacians

Contact Info

Product

Resources

About