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The multipoint-symplectic approximation of one-way wave-equation operator

International Meeting for Applied Geoscience & Energy, 2001
Summary The infinite dimensional Hamiltonian system essentially describes the propagation of seismic wave. Being not maintained the Hamiltonian property, some conventional algorithms will not give correct wave field especially in case of complex media.
null Yanghui, Liu Hong, Li Youming
openaire   +1 more source

Elastic least-squares one-way wave-equation migration

Geophysics, 2017
ABSTRACT Least-squares migration seeks a reflectivity model that fits the observed data. It is used to compensate for acquisition noise, poor sampling of sources and receivers on the surface, as well as poor illumination of the subsurface.
Aaron Stanton, Mauricio D. Sacchi
openaire   +1 more source

Effective Optimization to One-Way Wave Equation Migration

Proceedings, 2009
Downward-continuation migration algorithms are a powerful tool for imaging complicated subsurface structures. The phase-shift plus interpolation (PSPI) algorithm is a downward-continuation algorithm that is still widely used in the industry due to its computational efficiency compared to other methods and its reasonable ability to handle lateral ...
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High Order Approximation of One-Way Wave Equations

Journal of Computational Mathematics, 1985
In this article the high order approximation of the one-way wave equations are discussed. The approximate dispersion relations are expressed in explicit form of sums of simple fractions. By introducing new functions, the high order approximations of the one-way wave equations are put into the form of systems of lower order equations.
openaire   +1 more source

Improved Amplitude Multi-One-Way Wave-Equation Migration

67th EAGE Conference & Exhibition, 2005
F047 IMPROVED AMPLITUDE MULTI-ONE-WAY WAVE EQUATION MIGRATION Abstract 1 The migration algorithm based on improved amplitude multi-one-way modeling method is presented. The multione-way method allows to take into account the errors due to the factorization of the two-way wave equation by downgoing and upgoing one-way equations.
D. Kiyashchenko   +3 more
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Asymptotically True-amplitude One-way Wave Equations in t

70th EAGE Conference and Exhibition incorporating SPE EUROPEC 2008, 2008
We show that a simple one-way wave equation in time preserves amplitude just as asymptotic ray theory in frequency does.
N. Bleistein, Y. Zhang
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Representation of seismic sources in the one-way wave equations

Geophysics, 1990
Abstract One-way extrapolation of downgoing and upgoing acoustic waves plays an essential role in the current practice of seismic migration (Berkhout, 1985; Stolt and Benson, 1986; Claerbout, 1985; Gardner, 1985). Generally, one-way wave equations are derived for the source-free situation.
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Full-waveform inversion using the one-way wave equation

13th International Congress of the Brazilian Geophysical Society & EXPOGEF, Rio de Janeiro, Brazil, 26–29 August 2013, 2013
The classical full-waveform inversion is a method for obtaining detailed velocity models of the subsurface, formulated as an inverse problem, in which modeling and adjoint operators use the two-way wave equation. Solving the wave equation with the two-way propagator is computationally demanding when compared to the less accurate one-way propagator ...
Claudio Guerra, Carlos Cunha
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Imaging complex salt bodies with turning-wave one-way wave equation

International Meeting for Applied Geoscience & Energy, 2006
The conventional one-way wave equation migration only computes wavefields with propagation angles less than 90°. Therefore, steeply dipping reflectors are often absent from its images. In this abstract, we propose a modified version of one-way wave equation migration which incorporates true amplitude corrections to enhance steep dips and propagates ...
Yu Zhang, Sheng Xu, Guanquan Zhang
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One-way wave-equation migration in log-polar coordinates

Geophysics, 2013
ABSTRACT We obtained acoustic wave and wavefield extrapolation equations in log-polar coordinates (LPCs) and tried to enhance the imaging. To achieve this goal, it was necessary to decrease the angle between the wavefield extrapolation axis and wave propagation direction in the one-way wave-equation migration (WEM).
Diako Hariri Naghadeh, Mohamad Ali Riahi
openaire   +1 more source

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