Journal ArticleDOI
Toward a unified theory of reflector mapping
TLDR
In this article, the authors present a seismic mapping of reflectors in the presence of an arbitrary velocity model, dipping and curved reflectors, diffractions, ghosts, surface elevation variations, and multiple reflections.Abstract:
Schemes for seismic mapping of reflectors in the presence of an arbitrary velocity model, dipping and curved reflectors, diffractions, ghosts, surface elevation variations, and multiple reflections are reviewed and reduced to a single formula involving up and downgoing waves. The mapping formula may be implemented without undue complexity by means of difference approximations to the relativistic Schroedinger equation.read more
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Journal ArticleDOI
Inversion of seismic reflection data in the acoustic approximation
TL;DR: In this paper, the nonlinear inverse problem for seismic reflection data is solved in the acoustic approximation, which is based on the generalized least squares criterion, and it can handle errors in the data set and a priori information on the model.
Journal ArticleDOI
An overview of full-waveform inversion in exploration geophysics
Jean Virieux,Stéphane Operto +1 more
TL;DR: This review attempts to illuminate the state of the art of FWI by building accurate starting models with automatic procedures and/or recording low frequencies, and improving computational efficiency by data-compression techniquestomake3DelasticFWIfeasible.
Journal ArticleDOI
Migration by fourier transform
TL;DR: In this paper, two practical migration schemes utilizing the concept of wave equation conjugates are developed in order to reduce dispersion problems usually associated with this method at higher dips and frequencies.
Journal ArticleDOI
A strategy for nonlinear elastic inversion of seismic reflection data
TL;DR: In this article, the inverse problem of interpreting seismic reflection data can be posed with sufficient generality using the concepts of inverse theory, which consists of obtaining the Earth model for which the predicted data best fit the observed data.
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.