The application of the nonsplitting perfectly matched layer in numerical modeling of wave propagation in poroelastic media

2005 ◽  
Vol 2 (4) ◽  
pp. 216-222 ◽  
Author(s):  
Ruolong Song ◽  
Jun Ma ◽  
Kexie Wang
Keyword(s):  
Numerical Modeling ◽  
Wave Propagation ◽  
Perfectly Matched Layer ◽  
Poroelastic Media

Numerical Modeling of Wave Propagation in Poroelastic Media with a Staggered-Grid Finite-Difference Method

2013 ◽  
Vol 275-277 ◽  
pp. 612-617
Author(s):  
Wen Sheng Zhang ◽  
Li Tong
Keyword(s):  
Numerical Modeling ◽  
Wave Propagation ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Staggered Grid ◽  
Poroelastic Medium ◽  
Numerical Computations ◽  
Poroelastic Media ◽  
Biot’S Equations

In this paper, wave propagation in poroelastic medium is simulated with a staggered-grid finite-difference method. The formulation is discretized based on the second-order Biot’s equations rather than the corresponding velocity-stress form. In order to eliminate boundary reflections, the PML method is applied. Numerical computations are implemented and the results show the correctness and effectiveness of the schemes presented in this paper.

The application of the perfectly matched layer in numerical modeling of wave propagation in poroelastic media

Geophysics ◽  
2001 ◽  
Vol 66 (4) ◽  
pp. 1258-1266 ◽  
Author(s):  
Y. Q. Zeng ◽  
J. Q. He ◽  
Q. H. Liu
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Additional Term ◽  
Seismic Wave Propagation ◽  
Perfectly Matched Layer ◽  
Absorbing Boundary Condition ◽  
Absorbing Boundary ◽  
Poroelastic Media ◽  
Unbounded Media ◽  
Biot’S Equations

The perfectly matched layer (PML) was first introduced by Berenger as a material absorbing boundary condition (ABC) for electromagnetic waves. In this paper, a method is developed to extend the perfectly matched layer to simulating seismic wave propagation in poroelastic media. This nonphysical material is used at the computational edge of a finite‐difference algorithm as an ABC to truncate unbounded media. The incorporation of PML in Biot’s equations is different from other PML applications in that an additional term involving convolution between displacement and a loss coefficient in the PML region is required. Numerical results show that the PML ABC attenuates the outgoing waves effectively.

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