3D Frequency Domain Waveform Inversion Using Time Domain Finite Difference Methods

Sirgue, L.; Etgen, John; Albertin, Uwe

doi:10.3997/2214-4609.20147683

Cited by 171 publications

(77 citation statements)

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“…To perform the inversion on such a large 3D area, we solve the first-order acoustic wave equations using the staggered grid finite-difference method with domain decomposition (Bohlen, 2002). Among the many ways to avoid storing the huge forward (source) wavefields (Nguyen and McMechan, 2015) in 3D FWI, we choose the time- frequency hybrid domain approach (Sirgue et al, 2008), in which the forward and backward wavefields are transformed to the frequency domain on the fly so that we can calculate the gradient direction in the frequency domain within the desired frequency band. To scale the gradient direction, the diagonal of pseudo-Hessian matrix is used (Shin et al, 2001).…”

Section: Real Data Application: North Sea Obc Datamentioning

confidence: 99%

Full waveform inversion using envelope-based global correlation norm

Alkhalifah

2018

Geophysical Journal International

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CitationOh J-W, Alkhalifah T (2018) Full waveform inversion using envelope-based global correlation norm. Geophysical Journal International. to recover long-wavelength structure in an early stage. In addition, the envelope-based global correlation norm maintains the advantage of the global correlation norm, which reduces the sensitivity of the misfit to amplitude errors so that the performance of inversion on real data can be enhanced when the exact source wavelet is not available and more complex physics are ignored.Through the synthetic example for 2D SEG/EAGE overthrust model with inaccurate source wavelet, we compare the performance of 4 different approaches, which are the least squares waveform inversion, least squares envelope inversion, global correlation norm and envelopebased global correlation norm. Finally, we apply the envelope-based global correlation norm on the 3D OBC data from the North Sea. The envelope-based global correlation norm captures the strong reflections from the high-velocity caprock and generates artificial lowfrequency reflection energy that helps us recover long wavelength structure of the model domain in the early stages. From this long-wavelength model, the conventional global correlation norm is sequentially applied to invert for higher-resolution features of the model.

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Section: Real Data Application: North Sea Obc Datamentioning

confidence: 99%

Full waveform inversion using envelope-based global correlation norm

Alkhalifah

2018

Geophysical Journal International

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“…Following Nihei and Li (2006) and Sirgue et al (2008), the single frequency response of a velocity model v(x) for a shot at s can be modelled with the time-domain finitedifference method by solving the equation…”

Section: Single Frequency Response Modeling For a Shotmentioning

confidence: 99%

Multi‐source least‐squares reverse time migration

Dai

Fowler²,

Schuster

2012

Geophysical Prospecting

288

109

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Least‐squares migration has been shown to improve image quality compared to the conventional migration method, but its computational cost is often too high to be practical. In this paper, we develop two numerical schemes to implement least‐squares migration with the reverse time migration method and the blended source processing technique to increase computation efficiency. By iterative migration of supergathers, which consist in a sum of many phase‐encoded shots, the image quality is enhanced and the crosstalk noise associated with the encoded shots is reduced. Numerical tests on 2D HESS VTI data show that the multisource least‐squares reverse time migration (LSRTM) algorithm suppresses migration artefacts, balances the amplitudes, improves image resolution and reduces crosstalk noise associated with the blended shot gathers. For this example, the multisource LSRTM is about three times faster than the conventional RTM method. For the 3D example of the SEG/EAGE salt model, with a comparable computational cost, multisource LSRTM produces images with more accurate amplitudes, better spatial resolution and fewer migration artefacts compared to conventional RTM. The empirical results suggest that multisource LSRTM can produce more accurate reflectivity images than conventional RTM does with a similar or less computational cost. The caveat is that the LSRTM image is sensitive to large errors in the migration velocity model.

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“…The last possible approach to compute monochromatic wavefields is to perform the modeling in the time domain and extract the frequency-domain solution, either by discrete Fourier transform in the loop over the time steps (Sirgue et al, 2008) or by phase-sensitivity detection once the steady-state regime has been reached (Nihei & Li, 2007). An arbitrary number of frequencies can be extracted within the loop over time steps at a minimal extra cost.…”

Section: Time-domain or Frequency-domain Approachesmentioning

confidence: 99%

Seismic Waves - Research and Analysis

Kanao¹

2012

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3D Frequency Domain Waveform Inversion Using Time Domain Finite Difference Methods

Cited by 171 publications

References 0 publications

Full waveform inversion using envelope-based global correlation norm

Full waveform inversion using envelope-based global correlation norm

Multi‐source least‐squares reverse time migration

Seismic Waves - Research and Analysis

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