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Open AccessJournal ArticleDOI

3-D true‐amplitude finite‐offset migration

TLDR
In this paper, a 3D Kirchhoff-type prestack migration approach is proposed where the primary reflections of the wavefields to be imaged are a priori described by the zero-order ray approximation.
Abstract
Compressional primary nonzero offset reflections can be imaged into three‐dimensional (3-D) time or depth‐migrated reflections so that the migrated wavefield amplitudes are a measure of angle‐dependent reflection coefficients. Various migration/inversion algorithms involving weighted diffraction stacks recently proposed are based on Born or Kirchhoff approximations. Here a 3-D Kirchhoff‐type prestack migration approach is proposed where the primary reflections of the wavefields to be imaged are a priori described by the zero‐order ray approximation. As a result, the principal issue in the attempt to recover angle‐dependent reflection coefficients becomes the removal of the geometrical spreading factor of the primary reflections. The weight function that achieves this aim is independent of the unknown reflector and correctly accounts for the recovery of the source pulse in the migrated image irrespective of the source‐receiver configurations employed and the caustics occurring in the wavefield. Our weight ...

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Citations
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Book

Seismic Ray Theory

TL;DR: In this article, the elastodynamics and its simple solutions of dynamic ray tracing are discussed. But they do not consider the effect of the propagation speed of the ray on the propagation.
Journal ArticleDOI

Efficient waveform inversion and imaging: A strategy for selecting temporal frequencies

TL;DR: A new discretization strategy is defined that depends on the maximum effective offset present in the surface seismic survey: the larger the range of offsets, the fewer frequencies are required.
Book

Quantitative Seismic Interpretation: Applying Rock Physics Tools to Reduce Interpretation Risk

TL;DR: In this paper, the authors present a statistical rock physics approach combining rock physics, information theory, and statistics to reduce uncertainty in seismic data. But they do not discuss the use of statistical methods for quantitative seismic interpretation.
Journal ArticleDOI

Reverse modelling for seismic event characterization

TL;DR: In this article, the authors present an approach to localize very weak events, not visible in the individual seismogram of the network, where no picking of events in the seismograms of the recording network is required.
Journal ArticleDOI

Imaging conditions for prestack reverse-time migration

TL;DR: To obtain accurate image amplitudes, source- and receiver-wavefield extrapolations must be able to accurately reconstruct their respective wavefields at the target reflector and have the correct angle dependence, scale factor, and sign and the required (dimensionless) units.
References
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Journal ArticleDOI

Imaging of discontinuities in the inverse scattering problem by inversion of a causal generalized Radon transform

TL;DR: In this paper, the linearized inverse scattering problem is formulated in terms of an integral equation in a form which covers wave propagation in fluids with constant and variable densities and in elastic solids.
Journal ArticleDOI

A new slant on seismic imaging: Migration and integral geometry

TL;DR: In this paper, the authors formalize the classical diffraction stack by relating it to linearized seismic inversion and the generalized Radon transform, which can handle both complex velocity models and arbitrary configurations of sources and receivers.
Journal ArticleDOI

Linearized inverse scattering problems in acoustics and elasticity

Gregory Beylkin, +1 more
- 01 Jan 1990 - 
TL;DR: In this paper, a single-scattering approximation for the material parameters of an acoustic two-parameter medium and then for a threeparameter isotropic elastic medium is used to locate major discontinuities in the subsurface material.
Journal ArticleDOI

Two and one‐half dimensional Born inversion with an arbitrary reference

TL;DR: In this article, a multidimensional inversion algorithm is presented for both prestack and poststack data gathered on a single line, which is based on the linearized inversion theory associated with the Born inversion.
Journal ArticleDOI

Quadratic wavefront and traveltime approximations in inhomogeneous layered media with curved interfaces

Bjoern Ursin
- 01 Jul 1982 - 
TL;DR: In this paper, a quadratic approximation for the travel time from a source region to a receiver region is given for a three-dimensional (3-D) medium consisting of inhomogeneous layers with curved interfaces.