Extended local Rytov Fourier migration method

Huang, Lianjie; Fehler, Michael; Roberts, Peter M.; Burch, Charles C.

doi:10.1190/1.1444657

Cited by 43 publications

(3 citation statements)

References 39 publications

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“…Here, we measure the accuracy of seismic migration by the relative phase errors δφ′= 5% and 10%. From the numerical error analysis of the phase‐screen propagator (Huang et al . 1999), it is known that practical seismic migration using the split‐step scheme can tolerate larger phase errors than theoretical analyses.…”

Section: Approximation Within the Split‐step Frameworkmentioning

confidence: 99%

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Broadband constant‐coefficient propagators

2005

Geophysical Prospecting

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A B S T R A C TThe phase error between the real phase shift and the Gazdag background phase shift, due to lateral velocity variations about a reference velocity, can be decomposed into axial and paraxial phase errors. The axial phase error depends only on velocity perturbations and hence can be completely removed by the split-step Fourier method. The paraxial phase error is a cross function of velocity perturbations and propagation angles. The cross function can be approximated with various differential operators by allowing the coefficients to vary with velocity perturbations and propagation angles. These variable-coefficient operators require finite-difference numerical implementation. Broadband constant-coefficient operators may provide an efficient alternative that approximates the cross function within the split-step framework and allows implementation using Fourier transforms alone. The resulting migration accuracy depends on the localization of the constant-coefficient operators. A simple broadband constant-coefficient operator has been designed and is tested with the SEG/EAEG salt model. Compared with the split-step Fourier method that applies to either weakcontrast media or at small propagation angles, this operator improves wavefield extrapolation for large to strong lateral heterogeneities, except within the weak-contrast region. Incorporating the split-step Fourier operator into a hybrid implementation can eliminate the poor performance of the broadband constant-coefficient operator in the weak-contrast region. This study may indicate a direction of improving the split-step Fourier method, with little loss of efficiency, while allowing it to remain faster than more precise methods such as the Fourier finite-difference method.

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Section: Approximation Within the Split‐step Frameworkmentioning

confidence: 99%

“…The Taylor expansion (de Hoop et al . 2000) and the Rytov approximation (Huang et al . 1999) have been used to approximate the square‐root operator that occurs in the one‐way Lippmann–Schwinger integral equation.…”

Section: Introductionmentioning

confidence: 99%

Broadband constant‐coefficient propagators

2005

Geophysical Prospecting

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“…Time-reversal invariance has been used for many years by seismologists in the petroleum exploration community. However, while their method, called time-reversed migration [2][3][4], requires the time-reversal process to be performed by computers, with time-reversed acoustic (TRA) or timereversed elastic (TRE) the time-reversal is accomplished in the propagation media itself.…”

Section: Introductionmentioning

confidence: 99%

LISA simulations of time-reversed acoustic and elastic wave experiments

Delsanto

Johnson

Scalerandi

et al. 2002

J. Phys. D: Appl. Phys.

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Several experiments in the last decade have demonstrated the enormous potential of time-reversed acoustic (TRA) and elastic (TRE) waves for applications in many fields, such as medicine, materials characterization and oceanography. In the present contribution, we demonstrate the applicability of the local interaction simulation approach (LISA) to simulate, by means of virtual experiments, both TRA and TRE and to reproduce the relevant features of both techniques.

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Prestack Depth Migration Analysis Using A High Precision Hybrid Method And Its Parallel Implementation

Zhang

Song

2001

Chinese J of Geophysics

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Prestack depth migration is an important imaging method for complex geological structures. A generalizsed system for wavefield continuation based on wavefield splitting theory is presented in this paper. The system is coupled by downgoing and upgoing waves, and the commonly used equation for wavefield continuation is a special case of this coupled system. Based on an approximation of the square root operator, a new hybrid migration method with high precision is derived. The method can be implemented numerically through the splitting technique. Two examples of numerical migration are given: one is a poststack depth migration for a model with large lateral velocity contrasts; the other is a prestack depth migration for the Marmousi model with complex strucdtures. Both numerical results demonstrate the effectiveness and high precision of the hybrid method. The MPI parallel computation is adopted in order to increase computational efficiency.

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Extended local Rytov Fourier migration method

Cited by 43 publications

References 39 publications

Broadband constant‐coefficient propagators

Broadband constant‐coefficient propagators

LISA simulations of time-reversed acoustic and elastic wave experiments

Prestack Depth Migration Analysis Using A High Precision Hybrid Method And Its Parallel Implementation

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