Seismic migration with inverse <i>Q</i> filtering

Wang, Yanghua; Guo, Jian

doi:10.1029/2004gl020525

Cited by 41 publications

(10 citation statements)

References 14 publications

(14 reference statements)

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“…On the other hand, parameter b can be complex, and can be related to the quality factor Q [9], linked to the attenuation or dispersion effects; for example, the expression (4a) opens the door for consideration of such cases.…”

Section: The Density Function ρ 0 ( ⃗ X)mentioning

confidence: 99%

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Jimenez¹,

Cuartas²,

Avendaño³

2018

CT&F Cienc. Tecnol. Futuro

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In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for the propagation of waves in a variable density media. Then, we defined a solution, by using the boundary conditions on a half plane. This solution is of an integral nature and resembles expansion in a Neumann series. We implemented the solution of the first terms in the series, considering only the incident wavefield and neglecting the reflections. We show how this approximation works in different media that include lateral in homogeneities in the velocity. The method presented hereunder is intended as a first step in the modelling process for the full wavefield, to be used in seismic inversion methods, Full Waveform Inversion, for example.

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Section: The Density Function ρ 0 ( ⃗ X)mentioning

confidence: 99%

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Jimenez¹,

Cuartas²,

Avendaño³

2018

CT&F Cienc. Tecnol. Futuro

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“…They are similar to those for the acausal Q model in Figs 1(a) and (b), except now much of the energy arrives past the propagation time denoted by the blue vertical bar. If the Q distribution is known, then there are schemes for partial attenuation compensation in migration images (Wang & Guo 2004;Dutta & Schuster 2014, 2016Dutta 2016).…”

Section: Migration Stretch Limits For Causal Lossy Mediamentioning

confidence: 99%

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

Schuster¹,

Dutta²,

Li³

2017

Geophysical Journal International

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CitationSchuster GT, Dutta G, Li J (2017) Resolution limits of migration and linearized waveform inversion images in a lossy medium. S U M M A R YThe vertical-and horizontal-resolution limits x lossy and z lossy of post-stack migration and linearized waveform inversion images are derived for lossy data in the far-field approximation. Unlike the horizontal resolution limit x ∝ λz/L in a lossless medium which linearly worsens in depth z, x lossy ∝ z 2 /QL worsens quadratically with depth for a medium with small Q values. Here, Q is the quality factor, λ is the effective wavelength, L is the recording aperture, and loss in the resolution formulae is accounted for by replacing λ with z/Q. In contrast, the lossy vertical-resolution limit z lossy only worsens linearly in depth compared to z ∝ λ for a lossless medium. For both the causal and acausal Q models, the resolution limits are linearly proportional to 1/Q for small Q. These theoretical predictions are validated with migration images computed from lossy data.

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“…In seismic data processing, Q can be obtained approximately by Q scanning methods (Wang, 2003(Wang, , 2004(Wang, , 2006Wang et al, 2004) and velocity is a commonly used parameter. If we can build the relations between velocities and quality factors, there will be an initial and relatively accurate model for Q scanning.…”

Section: Relation Between Velocity and Quality Factor Of P-wavementioning

confidence: 99%

Quality Factor Characteristics of Six Metamorphic Kinds of Coal in China

Wang

Meng

2014

Chinese J of Geophysics

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Lab ultrasonic measurements to metamorphic kinds of coal reveal the relation between the maximum vitrinite reflectance and ultrasonic quality factor. And then the relations between ultrasonic velocities and quality factors, including the anisotropic characteristics of quality factors are analyzed. The results show that there are good linear correlations between the maximum vitrinite reflectance and P-and S-wave quality factors, between velocities in direction perpendicular to seams and quality factors, and between the P-wave quality and S-wave's quality factors in direction vertical to seams. Moreover, there are stronger anisotropies in seismic quality factors than velocities. Comparison of the measured S-wave Q values with estimated values, based on a theoretical formula, indicates an only 7.2% relative error in this method. It proves that this theoretical formula can be applied to attenuation compensation of the converted shear wave in processing of multi-component seismic data.

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Seismic migration with inverse Q filtering

Cited by 41 publications

References 14 publications

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain

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

Quality Factor Characteristics of Six Metamorphic Kinds of Coal in China

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