Perfect Matched Layer Optimization for Acoustic Wave Modelling

Kassuga, Theo Dias; Velandia, E.F.R.; Moreira, Roger Matsumoto; Pessolani, Raul Bernardo Vidal; Monteiro, F.A.; Bulcão, André

doi:10.1190/sbgf2011-344

Cited by 1 publication

(4 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…; McGarry and Moghaddam ; Kassuga et al . ). These formulations use the unsplit‐field and are obtained using different approaches (see Appendix ).…”

Section: Perfectly Matched Layer Boundary Condition For Second‐order mentioning

confidence: 97%

“…Since the original split-field PML has been proposed, some alternative formulations of the PML have been introduced for the second-order wave equation (Zhou 2001;Komatitsch and Tromp 2003;Hu et al 2007;McGarry and Moghaddam 2009;Kassuga et al 2011). These formulations use the unsplit-field and are obtained using different approaches (see Appendix A).…”

Section: P E R F E C T L Y M a T C H E D L A Y E R B O U N D A R Y C mentioning

confidence: 99%

“…Formulations of the perfectly matched layer for the second-order wave equation Kassuga et al (2011) presented a version of the perfectly matched layer (PML) for the second-order wave equation. It is based on the following system of acoustic wave equations in terms of pressure P = P(x, t) and the vector particle velocity…”

Section: A P P E N D I X Amentioning

confidence: 99%

“…Next, substituting the first equation of (A1) into expression (A5), we obtain the following acoustic wave equation with PML, which is now second-order in time, as proposed in Kassuga et al (2011):…”

Section: A P P E N D I X Amentioning

confidence: 99%

See 3 more Smart Citations

Perfectly matched layer boundary conditions for the second‐order acoustic wave equation solved by the rapid expansion method

Araujo

Pestana

2019

Geophysical Prospecting

View full text Add to dashboard Cite

We derive a governing second‐order acoustic wave equation in the time domain with a perfectly matched layer absorbing boundary condition for general inhomogeneous media. Besides, a new scheme to solve the perfectly matched layer equation for absorbing reflections from the model boundaries based on the rapid expansion method is proposed. The suggested scheme can be easily applied to a wide class of wave equations and numerical methods for seismic modelling. The absorbing boundary condition method is formulated based on the split perfectly matched layer method and we employ the rapid expansion method to solve the derived new perfectly matched layer equation. The use of the rapid expansion method allows us to extrapolate wavefields with a time step larger than the ones commonly used by traditional finite‐difference schemes in a stable way and free of dispersion noise. Furthermore, in order to demonstrate the efficiency and applicability of the proposed perfectly matched layer scheme, numerical modelling examples are also presented. The numerical results obtained with the put forward perfectly matched layer scheme are compared with results from traditional attenuation absorbing boundary conditions and enlarged models as well. The analysis of the numerical results indicates that the proposed perfectly matched layer scheme is significantly effective and more efficient in absorbing spurious reflections from the model boundaries.

show abstract

“…; McGarry and Moghaddam ; Kassuga et al . ). These formulations use the unsplit‐field and are obtained using different approaches (see Appendix ).…”

Section: Perfectly Matched Layer Boundary Condition For Second‐order mentioning

confidence: 97%

Section: P E R F E C T L Y M a T C H E D L A Y E R B O U N D A R Y C mentioning

confidence: 99%

Section: A P P E N D I X Amentioning

confidence: 99%

Section: A P P E N D I X Amentioning

confidence: 99%

See 2 more Smart Citations

Perfectly matched layer boundary conditions for the second‐order acoustic wave equation solved by the rapid expansion method

Araujo

Pestana

2019

Geophysical Prospecting

View full text Add to dashboard Cite

show abstract

Perfect Matched Layer Optimization for Acoustic Wave Modelling

Cited by 1 publication

References 6 publications

Perfectly matched layer boundary conditions for the second‐order acoustic wave equation solved by the rapid expansion method

Perfectly matched layer boundary conditions for the second‐order acoustic wave equation solved by the rapid expansion method

Contact Info

Product

Resources

About