3D Anisotropic P- and S-Mode Wavefields Separation in 3D Elastic Reverse-Time Migration

Zuo, Jiahui; Niu, Fenglin; Liu, Lu; Shuai, Da; Zhang, Houzhu; Yang, Jidong; Zhang, Lele; Zhao, Yang

doi:10.1007/s10712-021-09688-8

Cited by 14 publications

(6 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2. We derive the 3D TI decomposition operator based on the theory of the corrected pseudo-Helmholtz decomposition strategy in VTI (Zuo et al, 2022) and the rotational coordinate according to the tilted symmetry axis. The derived 3D TI decomposition operator shows the correct position of the coefficient related to local elastic parameters, compared with the 2D pseudo-Helmholtz decomposition operator (Yang et al, 2019).…”

Section: Discussionmentioning

confidence: 99%

“…The elastic decomposition operator based on their polarizations can generate pure P-and S-wavefields. Based on the elastic wavefield decomposition method in 3D VTI (Zuo et al, 2022), the second-order elastic wave equation in the frequency-wavenumber domain is…”

Section: Review Of Estimating Polarization Directions In 3d Vtimentioning

confidence: 99%

“…where U and W are the Fourier transforms of the original u and virtual w wavefields. LU factorization is an effective approach to solving Poisson's equation (Zuo et al, 2022). But for complex anisotropic structures, the decomposition approach still suffers from expensive computational costs.…”

Section: Vector Elastic Wavefield Decomposition In 3d Ti Mediamentioning

confidence: 99%

“…But the pseudo-Helmholtz decomposition operators lead to incorrect amplitudes of vector P-and S-wavefields because they possess a mispositioned coefficient related to the local elastic parameters. Later, a corrected pseudo-Helmholtz decomposition operator is implemented in 3D VTI and generates the vector decomposition wavefields with the same amplitudes/phases as the input elastic wavefields (Zuo et al, 2022). However, the corrected pseudo-Helmholtz decomposition operator is not suitable for 3D TI media with a tilted symmetry axis.…”

Section: Introductionmentioning

confidence: 99%

“…. The detailed formulation derivation of the corrected pseudo-Helmholtz decomposition can refer to Zuo et al (2022).…”

mentioning

confidence: 99%

See 4 more Smart Citations

Elastic wavefield decomposition for reverse time migration in 3D TI media

Zuo

Niu

Zhang

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

Elastic reverse-time migration (ERTM) which utilizes the advantages of both P and S wave modes is a widespread application for imaging in 3D anisotropic media. However, crosstalks due to intrinsically coupled P- and S-wavefields may degrade the image quality. To solve this problem, this study presents an effective vector P- and S-wavefields decomposition scheme in ERTM that can improve the images of 3D Transverse Isotropy (TI) media. The proposed method consists of four steps: (1) rotate the observation coordinate system to align its vertical axis with the symmetry axis of 3D TI media; (2) derive the formulations of the 3D TI decomposition operator by applying the VTI P/S wave-mode decomposition strategy based on eigenform analysis in the new coordinate system; (3) implement vector P- and S-wavefields decomposition by constructing 3D TI Poisson’s equation, and introduce a novel and efficient method based on the first-order Taylor expansion to accelerate the computational efficiency of the decomposition; (4) apply a vector-based dot-product imaging condition to generate PP and PS images. Compared with previous studies, the algorithm of our proposed method in 3D TI media is both numerically stable and computationally efficient. The 3D TI decomposition operator generates vector P- and S-wavefields showing the correct amplitude/phase with the input ones. Several numerical examples illustrate the satisfactory performance of the proposed 3D TI decomposition operator and the effective image improvement.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Review Of Estimating Polarization Directions In 3d Vtimentioning

confidence: 99%

Section: Vector Elastic Wavefield Decomposition In 3d Ti Mediamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…. The detailed formulation derivation of the corrected pseudo-Helmholtz decomposition can refer to Zuo et al (2022).…”

mentioning

confidence: 99%