Kinematics of shot-geophone migration

Stolk, Christiaan C.; Hoop, Maarten V. de; Symes, William W.

doi:10.1190/1.3256285

Cited by 47 publications

(42 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We will have n X = n Y = 3 for two-dimensional configurations. We have the freedom of choosing the direction of (h x , h z ) [53]. For the case of non-horizontal wave propagation and non-vertical reflectors, a natural choice is h z = 0 (leading to the downward continuation approach to imaging [37]).…”

Section: B Wave-equation Angle Transformmentioning

confidence: 99%

Evolution-equation approach to seismic image, and data, continuation

2008

Self Cite

View full text Add to dashboard Cite

In reflection seismology one places point sources and point receivers on the earth's surface, forming an acquisition geometry. Each source generates acoustic waves in the subsurface, that are reflected where the medium properties vary discontinuously. The reflections that can be observed at the receivers are used to image these discontinuities or reflectors assuming a background medium. We analyze methods to circumvent the repeated imaging of reflectors under varying background media, or the repeated modelling of reflections under varying acquisition geometries. These methods involve the introduction of the notion of seismic continuation. Here, we develop the foundation of, and a comprehensive framework for seismic continuation while extending earlier approaches to allow for the formation of caustics. Traditionally, seismic continuation has been viewed from a geometrical (ray asymptotic) point of view; here, we introduce the notion of wave-equation continuation through the appearance of evolution equations.

show abstract

Section: B Wave-equation Angle Transformmentioning

confidence: 99%

Evolution-equation approach to seismic image, and data, continuation

2008

Self Cite

View full text Add to dashboard Cite

show abstract

“…The basic principle, however, remains: find a velocity that flattens the CSGs. A disadvantage of these approaches is that artefacts may occur in the CSGs due to the binning when the underlying velocity varies strongly in the lateral direction (Stolk & Symes, 2004;Stolk et al, 2009). That is, the CSGs may not be flat for the correct velocity.…”

Section: Migration Velocity Analysismentioning

confidence: 99%

Correlation-based seismic velocity inversion

Leeuwen

2010

GEOPHYSICS

View full text Add to dashboard Cite

“…A recursive computation of the adjoint derivative (∂I/∂c) * is also possible; this trick is called the "adjoint state method" in the control literature, and in fact all wave equation migration methods can be viewed as instances (Stolk et al, 2005). See Shen et al (Shen et al, 2003) for a similar adjoint state computation for DSVA based on DSR migration.…”

Section: Shot Profile Algorithmmentioning

confidence: 99%

“…J θ also vanishes when the velocity is kinematically correct, under the standing assumptions (Stolk et al, 2005).…”

Section: An Objective Measure Of Focussing In Offset Ismentioning

confidence: 99%

See 1 more Smart Citation

Automatic velocity analysis via shot profile migration

2008

Self Cite

View full text Add to dashboard Cite

Shot profile migration provides a convenient framework for implementation of a differential semblance algorithm for estimation of complex, strongly refracting velocity fields. The objective function minimized in this algorithm may measure either focussing of the image in offset or flatness of the image in (scattering) angle. Velocity estimation based on this measure of data-model consistency uses waveform data directly: it does not require any sort of traveltime picking. We show that the offset variant of differential semblance yields somewhat more reliable migration velocity estimates than does the scattering angle variant, and explain why this is so. We observe that inconsistency with the underlying model (Born scattering about a transparent background) may lead to degraded velocity estimates from differential semblance, and show how to augment the objective function with stack power to enhance ultimate accuracy. A 2D marine survey over a target obscured by the lensing effects of a gas chimney provides an opportunity for direct comparison of differential semblance with reflection tomography. The differential semblance estimate yields a more data-consistent model (flatter angle gathers) than does reflection tomography in this application, resulting in a more interpretable image below the gas cloud.

show abstract

Kinematics of shot-geophone migration

Cited by 47 publications

References 43 publications

Evolution-equation approach to seismic image, and data, continuation

Evolution-equation approach to seismic image, and data, continuation

Correlation-based seismic velocity inversion

Automatic velocity analysis via shot profile migration

Contact Info

Product

Resources

About