Compensating for visco‐acoustic effects in reverse‐time migration

Zhang, Po; Zhang, Houzhu

doi:10.1190/1.3513503

Cited by 126 publications

(63 citation statements)

References 13 publications

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“…Therefore, special compensation treatments of losses are required to be taken in the backward simulation of RTM. To address this issue, several loss compensation methods have been reported in the time reversal community such as amplitude compensation [47][48][49], inverse filtering [38,[50][51][52][53][54], and inverted-loss (or gain) medium [55][56][57][58][59]. In the seismic RTM algorithm, the inverted-loss medium method is usually adopted [57][58][59].…”

Section: Rtm In Lossy Mediamentioning

confidence: 99%

Reverse-Time Migration Based Optical Imaging

Wang¹,

Ding²,

Lu³

et al. 2016

IEEE Trans. Med. Imaging

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We theoretically demonstrated a new optical imaging technique based on reverse-time migration (RTM) for reconstructing optical structures in homogeneous media for the first time. RTM is a powerful wave-equation-based method to reconstruct the image of the structure by modeling the wave propagation inside the media with both forward modeling and reverse-time extrapolation. While RTM is commonly used with acoustic seismic waves, this paper represents the first effort to develop optical RTM imaging method for biomedical research. To refine the image quality, we further developed new methods to suppress the low-wavenumber artifact (LWA). When compared with the conventional means for LWA suppression such as Laplacian filtering, illumination normalization, and the ratio method, our new derivative-based and power-image methods are able to significantly reduce LWA, resulting in high-quality reconstructed images with sufficient contrasts and spatial resolutions for structure identification. The optical RTM imaging technique may provide a new platform for non-invasive optical imaging of structures in deep layers of tissues for biomedical applications.

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Section: Rtm In Lossy Mediamentioning

confidence: 99%

Reverse-Time Migration Based Optical Imaging

Wang¹,

Ding²,

Lu³

et al. 2016

IEEE Trans. Med. Imaging

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“…Separation of amplitude loss and dispersion operators in the fractional Laplacian wave equation may be preferable because separated forms are more useful in compensating for attenuation loss in inverse problems, e.g., reverse time imaging by only reversing sign of the attenuation operator and leaving the sign of the dispersion operator unchanged Zhu, 2014;Zhu et al, 2014). Zhang et al (2010) also derive the approximate constant-Q wave equation with decoupled amplitude loss and dispersion effects, but their derivation using the normalization transform for decoupling amplitude loss and dispersion is not clearly described in the abstract.…”

Section: Introductionmentioning

confidence: 99%

Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians

2014

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We evaluated a time-domain wave equation for modeling acoustic wave propagation in attenuating media. The wave equation was derived from Kjartansson's constant-Q constitutive stress-strain relation in combination with the mass and momentum conservation equations. Our wave equation, expressed by a second-order temporal derivative and two fractional Laplacian operators, described very nearly constant-Q attenuation and dispersion effects. The advantage of using our formulation of two fractional Laplacians over the traditional fractional time derivative approach was the avoidance of time history memory variables and thus it offered more economic computations. In numerical simulations, we formulated the first-order constitutive equations with the perfectly matched layer absorbing boundaries. The temporal derivative was calculated with a staggered-grid finite-difference approach. The fractional Laplacians are calculated in the spatial frequency domain using a Fourier pseudospectral implementation. We validated our numerical results through comparisons with theoretical constant-Q attenuation and dispersion solutions, field measurements from the Pierre Shale, and results from 2D viscoacoustic analytical modeling for the homogeneous Pierre Shale. We also evaluated different formulations to show separated amplitude loss and dispersion effects on wavefields. Furthermore, we generalized our rigorous formulation for homogeneous media to an approximate equation for viscoacoustic waves in heterogeneous media. We then investigated the accuracy of numerical modeling in attenuating media with different Q-values and its stability in largecontrast heterogeneous media. Finally, we tested the applicability of our time-domain formulation in a heterogeneous medium with high attenuation.

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“…Xie et al (2009) developed a prestack Kirchhoff Q migration method that calculated the absorption effects along rays using ray tracing and compensated for each frequency band in the migration. For the Q waveequation migration method, Zhang et al (2010) derived a viscoacoustic wave equation in the time domain and proposed the Q reverse-time migration (RTM) method to compensate for the energy absorption in prestack time migration. However, the justifi cation for introducing an ad hoc normalized exponential operator to compensate for the attenuation and for regularization is unclear.…”

Section: Introductionmentioning

confidence: 99%

Attenuation compensation in multicomponent Gaussian beam prestack depth migration

Chen

Liu

2015

Appl. Geophys.

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Gaussian beam prestack depth migration is an accurate imaging method of subsurface media. Prestack depth migration of multicomponent seismic data improves the accuracy of imaging subsurface complex geological structures. Viscoelastic prestack depth migration is of practical significance because it considers the viscosity of the subsurface media. We use Gaussian beam migration to compensate for the attenuation in multicomponent seismic data. First, we use the Gaussian beam method to simulate the wave propagation in a viscoelastic medium and introduce the complex velocity Q-related and exact viscoelastic Zoeppritz equation. Second, we discuss PP-and PS-wave Gaussian beam prestack depth migration algorithms for common-shot gathers to derive expressions for the attenuation and compensation. The algorithms correct the amplitude attenuation and phase distortion caused by Q, and realize multicomponent Gaussian beam prestack depth migration based on the attenuation compensation and account for the effect of inaccurate Q on migration. Numerical modeling suggests that the imaging resolution of viscoelastic Gaussian beam prestack depth migration is high when the viscosity of the subsurface is considered.

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Compensating for visco‐acoustic effects in reverse‐time migration

Cited by 126 publications

References 13 publications

Reverse-Time Migration Based Optical Imaging

Reverse-Time Migration Based Optical Imaging

Modeling acoustic wave propagation in heterogeneous attenuating media using decoupled fractional Laplacians

Attenuation compensation in multicomponent Gaussian beam prestack depth migration

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