Analytic correction for wavelet stretch due to imaging

Roy, Baishali; Anno, Phil D.; Baumel, Robert T.; Durrani, Javaid A.

doi:10.1190/1.2144308

Cited by 28 publications

(13 citation statements)

References 7 publications

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“…Similar to the suggested formulas on layered velocity without dip factor in Roy et al. (), only the cos θ term enters the research scope of this paper, because the assumption of layered or weak layered velocity remains valid in prestack time migration.…”

Section: Methodsmentioning

confidence: 89%

“…Conventionally, we correct the stretching effects in the binned ADCIG (Roy et al. ; Perez and Marfurt ) as

\hat{m} false(f, θ false) = m false(f, θ false) \frac{W (f)}{W_{θ} false(f false)},

where

\hat{m} false(f, θ false)

are the corrected traces in the binned ADCIG and

W false(f false) / W_{θ} false(f false)

is an angle‐dependent stationary spectral filter applied over all the ADCIG traces. Note that we can ignore the angle‐dependent amplitude‐versus‐angle behaviours of

m (f, θ)

in equation .…”

Section: Methodsmentioning

confidence: 99%

“…In this paper, we focus on the stretch correction caused by the cosine of the incident angle θ without concerning about the graphical displaying. The term v in equation (2) accounts for the time-to-depth conversion between r and t. Similar to the suggested formulas on layered velocity without dip factor in Roy et al (2005), only the cos θ term enters the research scope of this paper, because the assumption of layered or weak layered velocity remains valid in prestack time migration.…”

Section: Review Of Migration Stretchmentioning

confidence: 95%

“…Given NMO stretch, this distortion is mainly caused by the non-stationary time shifts (Barnes 1992) or by the non-parallelism of the local traveltime between seismic events (Perroud and Tygel 2004;Abedi and Riahi 2016). Given migration stretch, the distortion is a consequence of the varying incident angle (Tygel et al 1994;Roy et al 2005). * E-mail: qiancheng.liu@kaust.edu.sa Many papers have presented effective methods to alleviate the NMO stretch (Dunkin and Levin 1973;Rupert and Chun 1975;Barnes 1992;Alkhalifah 1997;Dong 1999;Shatilo and Aminzadeh 2000;Brouwer 2002;Hilterman and Van Schuyver 2003;Lazaratos and Finn 2004;Hassan, Penny and Satish 2010;Kazemi and Siahkoohi 2012;).…”

Section: Introductionmentioning

confidence: 99%

“…Most of the existing methods are done post-migration. Roy et al (2005) formulate that the migration stretch in layered media depends on the cosine of the reflection angle. They make a crucial skip from Lazaratos and Finn (2004) to a more straightforward stationary operator.…”

Section: Introductionmentioning

confidence: 99%

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Trace‐imposed stretch correction in Kirchhoff prestack time migration

Liu

Zhang

2018

Geophysical Prospecting

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Kirchhoff prestack time migration, which works trace‐by‐trace, remains appealing to academia and industry due to its robustness and efficiency. However, like the other prestack migration methods, Kirchhoff prestack time migration also suffers from the angle‐dependent stretching effect, which narrows the amplitude spectra of seismic data. This effect gets more severe as the incident angle increases. In this paper, we propose a novel approach, which attaches a prediction shaping filter to the Kirchhoff prestack time migration, to mitigate the stretching effect. Our approach takes advantage on the trace‐by‐trace implementation of the prestack time migration algorithm, without the output of the angle‐domain common‐imaging gather. Also, our method can cascade with Q‐compensation in prestack time migration. We demonstrate our method with both a numerical example and a field data example.

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Section: Methodsmentioning

confidence: 89%

“…Conventionally, we correct the stretching effects in the binned ADCIG (Roy et al. ; Perez and Marfurt ) as

\hat{m} false(f, θ false) = m false(f, θ false) \frac{W (f)}{W_{θ} false(f false)},

where

\hat{m} false(f, θ false)

are the corrected traces in the binned ADCIG and

W false(f false) / W_{θ} false(f false)

is an angle‐dependent stationary spectral filter applied over all the ADCIG traces. Note that we can ignore the angle‐dependent amplitude‐versus‐angle behaviours of

m (f, θ)

in equation .…”

Section: Methodsmentioning

confidence: 99%

Section: Review Of Migration Stretchmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Trace‐imposed stretch correction in Kirchhoff prestack time migration

Liu

Zhang

2018

Geophysical Prospecting

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Table‐Driven 3‐D Angle‐Domain Imaging Approach for Kirchhoff Prestack Time Migration

Cheng¹,

Wang²,

Zai-tian³

2009

Chinese J of Geophysics

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To overcome some of the shortages of conventional Kirchhoff presatck time migration technique and to provide more powerful supports for amplitude versus incidence‐angle and azimuth (AVA/AVAZ) analysis, we develop a 3‐D angle‐domain imaging approach based on the classical ray tracing equations in laterally homogeneous media. Numerical tables of one‐way travel times and take‐off angles of rays are firstly established by a modified raytracing algorithm. Once the two‐way travel times, weighted factors, average azimuth and local incidence angles at the reflectors are estimated, 3‐D structural images and angle‐domain common‐image gathers are generated through superposition of impulse responses in the process of Kirchhoff migration. Unlike the conventional approach, the implementation of this method has taken ray bending and propagation property of seismic waves in 3‐D lateral invariant media into account. As a result, it helps to extract variations of amplitude and moveout versus azimuth and incidence‐angle more accurately. Synthetic and real data examples demonstrate the advantage and practicability of this technique.

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Common‐Angle Gathers Based on Kirchhoff Pre‐Stack Time Migration

Zou

Liu

2010

Chinese J of Geophysics

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In this paper we present the improved algorithm for common-angle gathers based on Kirchhoff pre-stack time migration. The algorithm can calculate relatively true incident angle under three-dimensional circumstance, while the traditional ray-parameter method could not gain the incident angle between incident ray and dipping reflector normal. Compared with straight-ray Kirchhoff angle domain gathers method proposed in recent years, our method is able to extract much wider angle for taking interval velocity and ray bending into account. Moreover, we apply non-hyperbolic moveout equation to calculate the travel time, thus the commonangle gathers are flatter at large angle than straight ray method. Efficient true-amplitude weighting function as well as hit-count correction is beneficial for AVA inversion. The results of synthetic model data have verified that, compared with angle gathers transformed from offset to angle domain with CMP gathers or CRP gathers after migration, common-angle gathers based on Kirchhoff pre-stack time migration have following advantages: much more accurate incident angle, the amplitude versus angle (AVA) is robust and clear. The real 3-D data test shows that angle gathers provided with our method are beneficial for AVA analysis and AVA inversion, and could improve pre-stack inversion's resolution.

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Analytic correction for wavelet stretch due to imaging

Cited by 28 publications

References 7 publications

Trace‐imposed stretch correction in Kirchhoff prestack time migration

Trace‐imposed stretch correction in Kirchhoff prestack time migration

Table‐Driven 3‐D Angle‐Domain Imaging Approach for Kirchhoff Prestack Time Migration

Common‐Angle Gathers Based on Kirchhoff Pre‐Stack Time Migration

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