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Mitigation of RTM Artifacts with Migration Kernel Decomposition. Ge Zhan* and Gerard T. Schuster. King Abdullah University of Science and Technology. June 7, 2012. Outline. 0. 0. Introduction Method Examples Two-layer model BP salt model Conclusions. 2 km/s. Depth ( km ).
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Mitigation of RTM Artifacts with Migration Kernel Decomposition Ge Zhan* and Gerard T. Schuster King Abdullah University of Science and Technology June 7, 2012
Outline 0 0 • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions 2 km/s Depth (km) Depth (km) 3 km/s 12.5 4 0 0 25 8 X (km) X (km)
Outline • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions
Introduction --- Reverse-time migration (RTM) Benefits: Images any dipping structure; Accounts for multiple arrivals; and etc. Problems: intensive computational costs severe migration artifacts
Introduction --- RTM artifacts artifacts contaminate image RTM artifacts usually present as strong-amplitude, low-frequency noises in the migration image. Various remedies have been proposed to suppress RTM artifacts: Smooth the velocity model before migration (Loewenthal et al., 1987); Low-cut filtering on migrated images (Mulder and Plessix, 2003); Directional damping to non-reflection wave equation (Fletcher et al., 2005); Least-squares migration (Nemeth et al., 1999; Guitton et al., 2006); Migration deconvolution (Hu et al., 2001; Yu et al., 2006); Poynting-vector imaging condition (Yoon and Marfurt, 2006); Wavefield decomposition using Hilbert transform (Liu et al., 2007; 2011).
Outline • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions
Method --- Seismic Survey
Method --- Seismic Modeling d(r|s) s r G(x|s) G(r|x) x Recorded seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Reverse Time Migration (RTM) d(r|s) s r s r G*(x|s) G*(r|x) x x Migration of seismic data
Method --- Generalized Diffraction Migration (GDM) d(r|s) s r s r D*(x|s) U*(r|x) x x Migration of seismic data
Method --- GDM Workflow Compute & save Green’s functions for a given migration velocity; s s r G(x|s)G(x|r) G(x|r) G(x|s) Filter the Green’s functions into downgoing and upgoing components in F-K domain; r Convolve the appropriate components of filtered Green’s function to form the migration kernel; x x x shotgather Migration Kernel Dot product of the migration kernel with the recorded seismic data to get the migration image. T T x x
Outline • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions
Examples --- two-layer model 0 0 0 0 0 2 km/s Depth (km) Depth (km) Depth (km) Depth (km) Depth (km) 3 km/s 4 4 4 4 4 0 0 0 0 0 8 8 8 8 8 X (km) X (km) X (km) X (km) X (km) RTM GDM
Outline • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions
Examples --- BP salt model 0 0 0 0 Vp 1-shot RTM image km/s 1.5 Depth (km) Depth (km) Depth (km) Depth (km) 4.5 12.5 12.5 12.5 12.5 0 0 0 0 25 25 25 25 X (km) X (km) X (km) X (km) Stacked RTM image High-pass-filtered RTM image
Examples --- BP salt model 0 0 0 0 0 Depth (km) Depth (km) Depth (km) Depth (km) Depth (km) 12.5 12.5 12.5 12.5 12.5 0 0 0 0 0 25 25 25 25 25 X (km) X (km) X (km) X (km) X (km) Standard RTM w/ filtering Horizontal GDM image Stacked GDM image Vertical GDM image
Outline • Introduction • Method • Examples • Two-layer model • BP salt model • Conclusions
Conclusions 1). The kernel of RTM imaging operator is decomposed into products of downgoingand upgoingGreen’s functions. 2). This decomposition leads to an imaging algorithm with fewerartifactsand a higher-qualityRTM image. 3). Advantage: deterministic filtering of RTM kernel can be directly applied to reduce migration artifacts, mitigate multiplesandeliminate aliasing artifacts. 4). Drawback: significantly more storage capacity and I/O time than standard RTM. 5). There are still some residual artifacts, which can be further eliminated by least-squares migration.
Acknowledgments We thank the sponsors of the Center for Subsurface Imaging and Fluid Modeling (CSIM)at KAUST for their support. We also thank BP for making the BP 2007 salt model available.
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