Mitigating Velocity Errors in Least-Squares Imaging Using Angle-Dependent Forward and Adjoint Gaussian Beam Operators

Yang, Jidong; Huang, Jianping; Li, Zhenchun; Zhu, Hejun; McMechan, George A.; Zhang, James; Hu, Chaoshun; Zhao, Yang

doi:10.1007/s10712-021-09676-y

Cited by 6 publications

(2 citation statements)

References 119 publications

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“…where Λ true represents the true fractional pseudo-differential operator in the wavenumber domain (8). We used the interior-reflective Newton algorithm [37] to solve this leastsquares inverse problem.…”

Section: Approximating the Pseudo-differential Operator Using A Gener...mentioning

confidence: 99%

“…It is suitable for lateral velocity variation and is not constrained by steeply dipping limitations. Over time, RTM has been expanded from acoustic isotropic media to viscoelastic anisotropic media [4][5][6] and, from adjointbased migration to least-squares migration [7,8]. In exploration regions with significant anisotropy, such as subsalt sediments and shale reservoirs, neglecting the anisotropy not only results in blurring and mispositioning of events, but also degrades and distorts seismic images [9].…”

Section: Introductionmentioning

confidence: 99%

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Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Qin,

Yang,

Qin

et al. 2024

Fractal Fract

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In seismic modeling and reverse time migration (RTM), incorporating anisotropy is crucial for accurate wavefield modeling and high-quality images. Due to the trade-off between computational cost and simulation accuracy, the pure quasi-P-wave equation has good accuracy to describe wave propagation in tilted transverse isotropic (TTI) media. However, it involves a fractional pseudo-differential operator that depends on the anisotropy parameters, making it unsuitable for resolution using conventional solvers for fractional operators. To address this issue, we propose a novel pure quasi-P-wave equation with a generalized fractional convolution operator in TTI media. First, we decompose the conventional pure quasi-P-wave equation into an elliptical anisotropy equation and a fractional pseudo-differential correction term. Then, we use a generalized fractional convolution stencil to approximate the spatial-domain pseudo-differential term through the solution of an inverse problem. The proposed approximation method is accurate, and the wavefield modeling method based on it also accurately describes quasi-P-wave propagation in TTI media. Moreover, it only increases the computational cost for calculating mixed partial derivatives compared to those in vertical transverse isotropic (VTI) media. Finally, the proposed wavefield modeling method is utilized in RTM to correct the anisotropic effects in seismic imaging. Numerical RTM experiments demonstrate the flexibility and viability of the proposed method.

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Section: Approximating the Pseudo-differential Operator Using A Gener...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Qin,

Yang,

Qin

et al. 2024

Fractal Fract

Self Cite

View full text Add to dashboard Cite

show abstract

Low-rank Representation for Seismic Reflectivity and its Applications in Least-squares Imaging

Yang,

Huang,

Zhang

et al. 2024

Surv Geophys

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Science and reflections: With some thoughts to young applied scientists and engineers

Nowack

2024

Earthquake Science

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Mitigating Velocity Errors in Least-Squares Imaging Using Angle-Dependent Forward and Adjoint Gaussian Beam Operators

Cited by 6 publications

References 119 publications

Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Quasi-P-Wave Reverse Time Migration in TTI Media with a Generalized Fractional Convolution Stencil

Low-rank Representation for Seismic Reflectivity and its Applications in Least-squares Imaging

Science and reflections: With some thoughts to young applied scientists and engineers

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