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On inverse source problems for the one-way wave equation
Wave Motion, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wall, David J. N., Lundstedt, Jonas
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Phases in one way wave equation migrations
International Meeting for Applied Geoscience & Energy, 2006In 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 +3 more
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Angle decomposition for one-way wave equation migration
International Meeting for Applied Geoscience & Energy, 2010Multidimensional (prestack) migration volumes, encountered typically as angle or offset gathers at each image point, are an essential tool for velocity analysis (and other geophysical analysis). Such gathers are easily obtained from Kirchhoff migration; however, they are challenging to generate in migrations performed using wave based methods.
Cosmin Macesanu +2 more
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Migration with the one-way energy-conserving wave equation
International Meeting for Applied Geoscience & Energy, 2007Conventional one-way wave equation used in seismic migration is not energy conserving. As a result, it can not provide correct amplitudes for the reflector. To correct image amplitudes the one-way energy-conserving wave equation is proposed to be applied in seismic migration.
Linbin Zhang +6 more
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Multisymplectic Structures and Discretizations for One-way Wave Equations
Letters in Mathematical Physics, 2006Multisymplectic 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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The problem of energy conservation in one-way wave equations
The Journal of the Acoustical Society of America, 1989A 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 +2 more
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Inversion Velocity Analysis by One-Way Wave Equation
81st EAGE Conference and Exhibition 2019, 2019Summary 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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One-way and two-way wave-equation migration
International Meeting for Applied Geoscience & Energy, 2003We 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
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Beyond the One-Way Wave Equation
1999The 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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The one-way wave equation and its invariance properties
Journal of Physics A: Mathematical and Theoretical, 2009The 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 ...
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