Resolution limits of migration and linearized waveform inversion images in a lossy medium

Schuster, Gerard T.; Dutta, Gaurav; Li, Jing

doi:10.1093/gji/ggx105

Cited by 4 publications

(3 citation statements)

References 23 publications

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“…In these works the waveguide model has a planar geometry. Instead of inverting just for velocity, the WDG method can, in principle, be modified to invert for both the velocity and attenuation models. In this case the viscoelastic wave equation and its numerical solutions must be computed to estimate the gradients for the attenuation parameters (J. Li, Dutta, & Schuster, ; Schuster et al, ). However, there is an inherent nonuniqueness problem in inverting for both velocity and attenuation models, so it is likely that both dispersion curves and normalized amplitudes should be used as input data.…”

Section: Discussionmentioning

confidence: 99%

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Wave‐Equation Dispersion Inversion of Guided P Waves in a Waveguide of Arbitrary Geometry

Hanafy

Schuster

2018

JGR Solid Earth

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We present a dispersion‐inversion method which inverts for the P‐velocity model from guided waves propagating in wave guides of arbitrary geometry. Its misfit function is the squared summation of differences between the predicted and observed dispersion curves of guided P waves, and the inverted result is a high‐resolution estimate of the near‐surface P‐velocity model. We denote this procedure as wave‐equation dispersion inversion of guided P waves (WDG), which is valid for near‐surface waveguides with irregular layers and does not require a high‐frequency approximation. It is more robust than full waveform inversion and can sometimes provide velocity models with higher resolution than wave‐equation traveltime tomography. Both the synthetic‐data and field data results demonstrate that WDG for guided P waves can accurately invert for complex P‐velocity models at the near surface of the Earth.

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Section: Discussionmentioning

confidence: 99%

“…Common shot gather d ( x , t ) in (a) and fundamental ( n = 0) dispersion curves in (b) k − ω and (c) C ( ω ) − ω domains. Here the phase velocity is C ( ω ) = ω / k ( ω ) and κ ( ω ) is the skeletonized data (Schuster et al, ).…”

Section: Theory Of Wave‐equation Dispersion Inversion Of Guided Wavesmentioning

confidence: 99%

Wave‐Equation Dispersion Inversion of Guided P Waves in a Waveguide of Arbitrary Geometry

Hanafy

Schuster

2018

JGR Solid Earth

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“…To measure quantitatively image resolution of acquisition geometries, many approaches have been developed since the early 2000s, e.g. spatial resolution analysis (Vermeer, 1999; Gibson and Tzimeas, 2002; Huang and Schuster, 2014; Schuster et al ., 2017) based on the theory of Beylkin (1985), illumination analysis (Wu and Chen, 2006; Xie et al ., 2006; Cao and Wu, 2009; Yan and Xie, 2016) based on point spread functions and full sequences of modelling and migration (Jurich et al ., 2003; Regone, 2006). A more efficient way is the focal beam analysis (Berkhout et al ., 2001), which assesses the detector and source sampling separately based on common‐focus‐point migration (Berkhout, 1997).…”

Section: Introductionmentioning

confidence: 99%

Order‐controlled closed‐loop focal beams and resolution comparison of primary and multiple reflections for seismic acquisition geometries

Wei

Blacquière

2020

Geophysical Prospecting

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Focal beam analysis has built a bridge between the acquisition parameters on the surface and the image quality of underground targets. However, as a practical matter, it is still difficult to answer how to choose a proper acquisition geometry according to the complexity of medium, especially considering the contradictory effects of multiple reflections on spatial resolution as they can be considered to be either potential signal or additional noise, depending on the envisioned imaging technology. We introduce an order-controlled, closed-loop focal beam method in which the migration operator and the resolution function can be analysed in the process of the closed-loop migration with full control over the order of the surface and internal multiples considered. This method highlights the effects of primary and different-order multiple wavefields on the imaging resolution for different acquisition geometries and various overburden strata. We apply the method to analyse the predicted resolution of seismic acquisition geometries considering multiples as either noise or signal. Results show, in the acquisition geometry design, that when the primaries cannot provide a complete spatial illumination for the subsurface target, e.g. because of the limited-aperture acquisition geometries or the complicated overburden, we should use the closed-loop focal beam analysis to assess the contradictory effects of multiples as both signal and noise, in which the maximum order of multiples ought to be chosen according to the core aim of the acquisition analysis. We can apply the second-order closed-loop focal beam analysis to quantify the effects of acquisition geometries on multiple-wave suppression and can also perform the high-order closed-loop focal beam analysis to quantify the effects of acquisition geometries on high-resolution imaging (migration). This method can also be used to choose the optimal order of multiples in the closedloop migration.

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The importance of including density in elastic least-squares reverse time migration: multiparameter crosstalk and convergence

Chen

Sacchi

2018

Geophysical Journal International

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Resolution limits of migration and linearized waveform inversion images in a lossy medium

Cited by 4 publications

References 23 publications

Wave‐Equation Dispersion Inversion of Guided P Waves in a Waveguide of Arbitrary Geometry

Wave‐Equation Dispersion Inversion of Guided P Waves in a Waveguide of Arbitrary Geometry

Order‐controlled closed‐loop focal beams and resolution comparison of primary and multiple reflections for seismic acquisition geometries

The importance of including density in elastic least-squares reverse time migration: multiparameter crosstalk and convergence

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