Results 151 to 160 of about 1,087,074 (217)

Wide-angle one-way wave equations

The Journal of the Acoustical Society of America, 1988
A one-way wave equation, also known as a paraxial or parabolic wave equation, is a differential equation that permits wave propagation in certain directions only. Such equations are used regularly in underwater acoustics, in geophysics, and as energy-absorbing numerical boundary conditions.
L, Halpern, L N, Trefethen
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Optimization of one‐way wave equations

GEOPHYSICS, 1985
The theory of wave extrapolation is based on the square‐root equation or one‐way equation. The full wave equation represents waves which propagate in both directions. On the contrary, the square‐root equation represents waves propagating in one direction only.
Myung W. Lee, Sang Y. Suh
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Sixth-order accurate pseudo-spectral method for solving one-way wave equation

Applied Mathematics and Computation, 2019
In this paper, we present a pseudo-spectral method to solve the one-way wave equation. The approach is a generalization of the phase-shift plus interpolation technique which is used in geophysical applications. We construct a solution at each depth layer
A. Pleshkevich, D. Vishnevskiy, V. Lisitsa   +2 more
semanticscholar   +1 more source

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
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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
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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, R.-E. Plessix, B. Kashtan, V. Troyan   +3 more
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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
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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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One‐way wave equation: Absorbing boundary and seismic migration

SEG Technical Program Expanded Abstracts 1992, 1992
A fast order differential system is formulated for one-way waves based on the characteristic analysis of a first order hyperbolic system and the optimization of the approximating dispersion relation. Corresponding scalar one-way wave equations are also obtained which are similar to the 45O paraxial approximation of the wave equation but are more ...
Nanxun Dai, Ernest R. Kanasewich
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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.
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