An exact solution for the one‐dimensional elastic wave equation in layered media

1992 ◽  
Vol 92 (6) ◽  
pp. 3364-3370 ◽  
Author(s):  
Roberto A. Tenenbaum ◽  
Moysés Zindeluk
Keyword(s):  
Exact Solution ◽  
Wave Equation ◽  
Elastic Wave ◽  
Layered Media ◽  
Elastic Wave Equation ◽  
One Dimensional ◽  
The One

scholarly journals Spectral enclosures for the damped elastic wave equation

2021 ◽  
Vol 4 (6) ◽  
pp. 1-10
Author(s):  
Biagio Cassano ◽  
◽  
Lucrezia Cossetti ◽  
Luca Fanelli ◽  
◽  
...  
Keyword(s):  
Wave Equation ◽  
Eigenvalue Problem ◽  
Elastic Wave ◽  
Spectral Properties ◽  
Point Spectrum ◽  
Damping Coefficient ◽  
Elastic Wave Equation ◽  
The One

<abstract><p>In this paper we investigate spectral properties of the damped elastic wave equation. Deducing a correspondence between the eigenvalue problem of this model and the one of Lamé operators with non self-adjoint perturbations, we provide quantitative bounds on the location of the point spectrum in terms of suitable norms of the damping coefficient.</p></abstract>

Elastic wave-equation datuming

Geophysics ◽  
2018 ◽  
Vol 83 (5) ◽  
pp. U51-U61
Author(s):  
Xufei Gong ◽  
Qizhen Du ◽  
Qiang Zhao ◽  
Pengyuan Sun ◽  
Jianlei Zhang ◽  
...  
Keyword(s):  
Wave Equation ◽  
Elastic Wave ◽  
Time Shift ◽  
S Wave ◽  
Elastic Wave Equation ◽  
Wave Data ◽  
Static Corrections ◽  
The One ◽  
Processing Techniques ◽  
Multicomponent Data

Wave-equation datuming (WED) techniques have demonstrated superiority when waves occur on the acquisition surface nonvertically, and traditional static corrections based on the time shift become inaccurate. Meanwhile, as for multicomponent data, those scalar techniques can hardly maintain the vector characteristics for the following multicomponent data processing flows. Considering this, we have developed an elastic-wave datuming approach to handle the static corrections for multicomponent data. Different from those existing scalar WED techniques, the multicomponent data are first decomposed into multicomponent P- and S-wave data. Then, the decomposed data are transformed into the [Formula: see text]-[Formula: see text] domain, and they are extrapolated from the acquisition surface to the datum using the one-way elastic-wave continuation. Finally, the datumed multicomponent data are reconstructed at the output datum by adding up the datumed P- and S-wave data. This elastic WED can guarantee that the same wave modes on different components are equally datumed, and the data remain multicomponent so that they are still applicable to multicomponent-joint processing techniques. Finally, several test examples involved in this paper have proved our method’s effectiveness in multicomponent data datuming application.

scholarly journals Higher-Order Splitting Method for Elastic Wave Propagation

2008 ◽  
Vol 2008 ◽  
pp. 1-31 ◽  
Author(s):  
Jürgen Geiser
Keyword(s):  
Wave Propagation ◽  
Wave Equation ◽  
Elastic Wave ◽  
Fourth Order ◽  
Splitting Method ◽  
Higher Order ◽  
Three Dimensions ◽  
Convergence Properties ◽  
Elastic Wave Equation ◽  
One Dimensional

Motivated by seismological problems, we have studied a fourth-order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme and obtained results showing consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the influence of singular forcing terms on the convergence properties of the scheme.

Thermally corrected solutions of the one-dimensional wave equation for the laser-induced ultrasound

2021 ◽  
Vol 130 (2) ◽  
pp. 025104
Author(s):  
Misael Ruiz-Veloz ◽  
Geminiano Martínez-Ponce ◽  
Rafael I. Fernández-Ayala ◽  
Rigoberto Castro-Beltrán ◽  
Luis Polo-Parada ◽  
...  
Keyword(s):  
Wave Equation ◽  
One Dimensional ◽  
The One ◽  
Dimensional Wave

Exact Solution to the One-Dimensional Dirac Equation with Time Varying Mass

2003 ◽  
Vol 40 (3) ◽  
pp. 283-284
Author(s):  
Yang Jin ◽  
Xiang An-Ping ◽  
Yu Wan-Lun
Keyword(s):  
Exact Solution ◽  
Dirac Equation ◽  
Time Varying ◽  
One Dimensional ◽  
The One ◽  
Varying Mass
Sign in / Sign up

Export Citation Format

Share Document