scholarly journals Wave Equations and Symmetric First-order Systems in Case of Low Regularity

2013 ◽  
pp. 283-296
Author(s):  
Clemens Hanel ◽  
Günther Hörmann ◽  
Christian Spreitzer ◽  
Roland Steinbauer
Keyword(s):  
Wave Equations ◽  
Low Regularity ◽  
First Order

First-Order Acoustic Wave Equations and Scattering by Atmospheric Turbules.

1997 ◽  
Author(s):  
George H. Goedecke ◽  
Michael DeAntonio ◽  
Harry J. Auvermann
Keyword(s):  
Acoustic Wave ◽  
Wave Equations ◽  
First Order

Bhabha first-order wave equations. VI. Exact, closed-form, Foldy-Wouthuysen transformations and solutions

1977 ◽  
Vol 15 (2) ◽  
pp. 433-444 ◽  
Author(s):  
R. A. Krajcik ◽  
Michael Martin Nieto
Keyword(s):  
Closed Form ◽  
Wave Equations ◽  
First Order

Staggered-Grid High-Order Differencemethod for the First-Order Elastic Wave Equations

2000 ◽  
Vol 43 (3) ◽  
pp. 441-449 ◽  
Author(s):  
Liang-Guo DONG ◽  
Zai-Tian MA ◽  
Jing-Zhong CAO
Keyword(s):  
Elastic Wave ◽  
Wave Equations ◽  
High Order ◽  
Staggered Grid ◽  
First Order ◽  
Elastic Wave Equations

Kinetic energy based relativistic first order wave equations

Optik ◽  
2019 ◽  
Vol 181 ◽  
pp. 320-325
Author(s):  
Yusuf Ziya Umul
Keyword(s):  
Kinetic Energy ◽  
Wave Equations ◽  
First Order

scholarly journals A temporal fourth-order scheme for the first-order acoustic wave equations

2013 ◽  
Vol 194 (3) ◽  
pp. 1473-1485 ◽  
Author(s):  
Guihua Long ◽  
Yubo Zhao ◽  
Jun Zou
Keyword(s):  
Acoustic Wave ◽  
Fourth Order ◽  
Wave Equations ◽  
First Order ◽  
Order Scheme

First-Order Meson Wave Equations

1953 ◽  
Vol 89 (5) ◽  
pp. 965-967
Author(s):  
H. S. Green
Keyword(s):  
Wave Equations ◽  
First Order

scholarly journals Time Domain Waveform Inversion for theQModel Based on the First-Order Viscoacoustic Wave Equations

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Guowei Zhang ◽  
Jinghuai Gao
Keyword(s):  
Objective Function ◽  
Wave Equations ◽  
Seismic Waves ◽  
Waveform Inversion ◽  
Model Parameters ◽  
Model Inversion ◽  
First Order ◽  
Standard Linear Solid ◽  
Standard Linear ◽  
Absorptive Property

Propagating seismic waves are dispersed and attenuated in the subsurface due to the conversion of elastic energy into heat. The absorptive property of a medium can be described by the quality factorQ. In this study, the first-order pressure-velocity viscoacoustic wave equations based on the standard linear solid model are used to incorporate the effect ofQ. For theQmodel inversion, an iterative procedure is then proposed by minimizing an objective function that measures the misfit energy between the observed data and the modeled data. The adjoint method is applied to derive the gradients of the objective function with respect to the model parameters, that is, bulk modulus, density, andQ-related parameterτ. Numerical tests on the crosswell recording geometry indicate the feasibility of the proposed approach for theQanomaly estimation.

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