Simulation of seismic wave propagation in poroelastic media using vectorized Biot’s equations: an application to a CO$$_{2}$$2 sequestration monitoring case

2020 ◽  
Vol 68 (2) ◽  
pp. 435-444
Author(s):  
Emmanuel Anthony ◽  
Nimisha Vedanti
Keyword(s):  
Wave Propagation ◽  
Seismic Wave ◽  
Seismic Wave Propagation ◽  
Poroelastic Media ◽  
Biot’S Equations

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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