Results 251 to 260 of about 100,503 (296)

Phases in one way wave equation migrations

SEG Technical Program Expanded Abstracts 2006, 2006
In this paper, we investigate phases in different one way wave equation based migration algorithms. We found that poststack migrations preserve the characteristics of the input wavelet. However, like Kirchhoff migration, prestack shot and plane wave migration require a phase rotation to match the phase of the image to that of the input data.
Faqi Liu, Guojian Shan, Scott A. Morton, Jacques Leveille   +3 more
openaire   +1 more source

Multisymplectic Structures and Discretizations for One-way Wave Equations

Letters in Mathematical Physics, 2006
Multisymplectic structures for one-way wave equations are presented in this letter. Based on the multisymplectic formulation, we obtain the corresponding multisymplectic discretizations. The structure-preserving property of a finite difference scheme for the first-order one-way wave equation is proved.
Jing-bo Chen, Shu-yuan Du
openaire   +1 more source

The problem of energy conservation in one-way wave equations

The Journal of the Acoustical Society of America, 1989
A recent attempt to define and numerically solve range-dependent benchmark problems in ocean acoustics [J. Acoust. Soc. Am. Suppl. 1 81, S39–S40 (1987)] revealed some inherent problems with energy conservation for one-way wave equations when applied to sloping bottom environments.
Michael B. Porter, Carlo M. Ferla, Finn B. Jensen   +2 more
openaire   +1 more source

Inversion Velocity Analysis by One-Way Wave Equation

81st EAGE Conference and Exhibition 2019, 2019
Summary Migration velocity analysis (MVA) is an image domain technique to determine large-scale structure of the subsurface velocity model. However, due to limited surface acquisition geometry and uneven illumination, migration smiles and spurious oscillations around the reflector positions may lead to local minimal in the inversion process.
Z. Yu, Y. Liu
openaire   +1 more source

A one-way wave equation for modelling variations in seismic waveforms due to elastic anisotropy

Geophysical Journal International, 2004
A new one-way wave equation for 3-D anisotropic elastic media and its finite-difference implementation are described. Backscattering is neglected, but the method should provide a sufficiently accurate, efficient (slower than ray theory, faster than full ...
Doug Angus, C J Thomson, R G Pratt
exaly   +2 more sources

One‐way and two‐way wave‐equation migration

SEG Technical Program Expanded Abstracts 2003, 2003
We present a comparison of results for wave-equation migration in the frequency domain using the constantdensity acoustic “two-way” wave equation and its one-way approximation. The examples are based on synthetic and real data for a two-dimensional spatial geometry.
W. A. Mulder, R.‐E. Plessix
openaire   +1 more source

The one-way wave equation and its invariance properties

Journal of Physics A: Mathematical and Theoretical, 2009
The harmonic wave equation in inhomogeneous media is exactly split into coupled first-order equations with respect to a principal direction of propagation according to the Bremmer scheme. The resulting one-way wave equation is shown not to conserve energy flux for dimensions two and three against the general belief in one-way wave propagation or ...
openaire   +1 more source

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

SEG Technical Program Expanded Abstracts 2001, 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

Beyond the One-Way Wave Equation

1999
The basic properties of finite-difference methods were explored in Chapter 2 by applying each scheme to a simple prototype problem: the one-way wave equation (or, equivalently, the one-dimensional constant-wind-speed advection equation). The equations governing wave-like geophysical flows include additional complexities.
openaire   +1 more source

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
openaire   +1 more source