Migration/inversion: think image point coordinates, process in acquisition surface coordinates

@article{Bleistein2005MigrationinversionTI,
  title={Migration/inversion: think image point coordinates, process in acquisition surface coordinates},
  author={Norman Bleistein and Yu Zhang and Sheng Xu and Guanquan Zhang and Samuel H. Gray},
  journal={Inverse Problems},
  year={2005},
  volume={21},
  pages={1715 - 1744}
}
We state a general principle for seismic migration/inversion processes: think image point coordinates; compute in surface coordinates. This principle allows the natural separation of multiple travel paths of energy from a source to a reflector to a receiver. Further, the Beylkin determinant (Jacobian of transformation between processing parameters and acquisition surface coordinates) is particularly simple in stark contrast to the common-offset Beylkin determinant in standard single arrival… 

Figures from this paper

A True-Amplitude Imaging Method Based on Gaussian Beam Migration and Demigration

Conventional seismic migrations are often suitable for structural imaging of the subsurface, but have quantitative limitations. We proposed an imaging strategy for obtaining true-amplitude imaging

Amplitude calculations for 3D Gaussian beam migration using complex-valued traveltimes

Gaussian beams are often used to represent Green's functions in three-dimensional Kirchhoff-type true-amplitude migrations because such migrations made using Gaussian beams yield superior images to

Least-squares RTM with L1 norm regularisation

This paper presents the least-squares RTM method with a model constraint defined by an L1-norm of the reflectivity image, and three numerical examples demonstrate the effectiveness of the method which can mitigate artefacts and produce clean images with significantly higher resolution than the most-squared RTM without such a constraint.

Reflection angle/azimuth-dependent least-squares reverse time migration

Seismic images under complex overburdens such as salt are strongly affected by illumination variations due to overburden velocity variations and imperfect acquisition geometries, making it difficult

True-amplitude Gaussian-beam migration

Gaussian-beam depth migration and related beam migration methods can image multiple arrivals, so they provide an accurate, flexible alternative to conventional single-arrival Kirchhoff migration.

3 D angle gathers from reverse time migration

Common-image gathers are an important output of prestack depth migration. They provide information needed for velocity model building and amplitude and phase information for subsurface attribute

True amplitude imaging by inverse generalized Radon transform based on Gaussian beam decomposition of the acoustic Green's function

True amplitude migration is one of the most important procedures of seismic data processing. As a rule it is based on the decomposition of the velocity model of the medium into a known macrovelocity

True-amplitude, angle-domain, common-image gathers from one-way wave-equation migrations

True-amplitude wave-equation migration provides a quality migrated image of the earth’s interior. In addition, the amplitude of the output provides an estimate of the angular-dependent reflection

Modeling, Migration and Inversion with Gaussian Beams, Revisited

Gaussian beams have been shown in some cases to provide smoother leading order asymptotic expansions of the solution of wave equations than classical ray theory provides. They do this through

Migration/inversion for incident waves synthesized from common-shot data gathers

Wavefield synthesis is a process for producing reflection responses from more general sources or from prescribed incident waves by combining common-shot data gathers. Synthesis can provide surveywide

References

SHOWING 1-10 OF 40 REFERENCES

Aperture effects in 2.5D Kirchhoff migration: A geometrical explanation

A geometrical interpretation of the terms of the stationary-phase approximation in relation to the diffraction and reflection traveltime curves in the time domain can help to develop a more intuitive understanding of the migration artifacts.

How to Obtain True Amplitude Common-angle Gathers From One-way Wave Equation Migration?

True amplitude wave equation migration (WEM) provides the quality image of wave equation migration along with proper weighting of the output for estimation of an angularly dependent reflection

Common‐angle migration: A strategy for imaging complex media

It is shown that CIGs calculated by common‐shot or common‐offset migration can be strongly affected by artifacts, even when a correct velocity model is used for the migration, and a novel strategy is proposed: compute Cigs versus the diffracting/reflecting angle.

Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration

One-way wave operators are powerful tools for forward modeling and migration. Here, we describe a recently developed true-amplitude implementation of modified one-way operators and present some

Paraxial ray Kirchhoff migration

A rapid nonrecursive prestack Kirchhoff migration is implemented (for 2-D or 2.5-D media) by computing the Green’s functions (both traveltimes and amplitudes) in variable velocity media with the

True amplitude wave equation migration arising from true amplitude one-way wave equations

One-way wave operators are powerful tools for use in forward modelling and inversion. Their implementation, however, involves introduction of the square root of an operator as a pseudo-differential

Multiparameter inversion in anisotropic elastic media

Summary In this paper, we formalize the linearized inverse scattering problem for a general anisotropic, elastic medium and describe two approaches to the construction of a stable inversion

Coarse grid calculations of waves in inhomogeneous media with application to delineation of complicated seismic structure

The multidimensional scalar wave equation at a single frequency is split into two equations. One controls the downgoing transmitted wave; the other controls the upcoming reflected wave. The equations

Comparison of weights in prestack amplitude-preserving Kirchhoff depth migration

Three different theoretical approaches to amplitude-preserving Kirchhoff depth migration are compared. Each of them suggests applying weights in the diffraction stack migration to correct for

Ray theory and its extensions; WKBJ and Maslov seismograms

Asymptotic ray theory can be used to de scribe many seismic signals. Provided the wavefronts and amplitudes vary smoothly and the correct phase changes are included for caustics and reflection/trans