Some viscoelastic wave equations

1989 ◽  
pp. 35-43
Author(s):  
Dang Dinh Ang ◽  
Alain Pham Ngoc Dinh
Keyword(s):  
Wave Equations ◽  
Viscoelastic Wave

Nearly perfectly matched layer absorber for viscoelastic wave equations

Geophysics ◽  
2019 ◽  
Vol 84 (5) ◽  
pp. T335-T345
Author(s):  
Enjiang Wang ◽  
José M. Carcione ◽  
Jing Ba ◽  
Mamdoh Alajmi ◽  
Ayman N. Qadrouh
Keyword(s):  
Wave Equations ◽  
Pseudospectral Method ◽  
Perfectly Matched Layer ◽  
Zener Model ◽  
Fourier Pseudospectral Method ◽  
Time Stepping ◽  
First Case ◽  
Stress Strain Relation ◽  
Viscoelastic Wave ◽  
Spatial Derivatives

We have applied the nearly perfectly matched layer (N-PML) absorber to the viscoelastic wave equation based on the Kelvin-Voigt and Zener constitutive equations. In the first case, the stress-strain relation has the advantage of not requiring additional physical field (memory) variables, whereas the Zener model is more adapted to describe the behavior of rocks subject to wave propagation in the whole frequency range. In both cases, eight N-PML artificial memory variables are required in the absorbing strips. The modeling simulates 2D waves by using two different approaches to compute the spatial derivatives, generating different artifacts from the boundaries, namely, 16th-order finite differences, where reflections from the boundaries are expected, and the staggered Fourier pseudospectral method, where wraparound occurs. The time stepping in both cases is a staggered second-order finite-difference scheme. Numerical experiments demonstrate that the N-PML has a similar performance as in the lossless case. Comparisons with other approaches (S-PML and C-PML) are carried out for several models, which indicate the advantages and drawbacks of the N-PML absorber in the anelastic case.

Solving fractional Laplacian viscoelastic wave equations using domain decomposition

2018 ◽  
Author(s):  
Zhiguang Xue ◽  
Hyoungsu Baek ◽  
Houzhu Zhang ◽  
Yang Zhao ◽  
Tieyuan Zhu ◽  
...  
Keyword(s):  
Domain Decomposition ◽  
Wave Equations ◽  
Fractional Laplacian ◽  
Viscoelastic Wave

scholarly journals Energy decay of solutions for viscoelastic wave equations with a dynamic boundary and delay term

2018 ◽  
Vol 06 (03) ◽  
pp. 521-529
Author(s):  
Mahdi Fatima Zohra ◽  
Ferhat Mohamed ◽  
Hakem Ali
Keyword(s):  
Wave Equations ◽  
Energy Decay ◽  
Delay Term ◽  
Dynamic Boundary ◽  
Decay Of Solutions ◽  
Viscoelastic Wave
Sign in / Sign up

Export Citation Format

Share Document