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| Fourier pseudo spectral method for attenuative simulation with fractional Laplacian | |
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ps2d
According to [Carcione(2010)], the uniform-density pressure formulation is
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(12) |
where
is the body force per unit; the order
is
. When
, it introduces stronger attenuation. Regarding the fractional order of the Laplacian operator,
we may be able to update the wavefield by
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(13) |
Another choice to perform fractional order wave simulation is
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(14) |
which implies the following wavefield extrapolation
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(15) |
with constant density
.
A snapshot using the code provided in the appendix is shown in Figure 1, in which we use the sponge boundary condition.
snapshotwidth=0.7A snapshot of 2-D acoustic propagation using PSM method
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| Fourier pseudo spectral method for attenuative simulation with fractional Laplacian | |
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Next: Conclusion
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Previous: Computing derivatives using Fourier
2021-08-31