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A 3-D example

The three dimensional model is built for a linearly varying velocity in all three coordinates: v(x,y,z)=v0+ax+by+cz. The reflection model is just a diffractor situated inside the velocity cube. The size of the modeling baby-grid (64x64x256) was imposed by the amount of memory available on the SEP Connection Machine. The size of the available memory is also the reason why I have not implemented absorbing boundaries for the 3-D algorithm. With 20 gridpoints on each side of the 64 points mesh the active area will be only 24 points! Figure [*] displays time slices through the 3-D cube of diffraction data obtained using PSPI modeling while Figure [*] displays time slices through the 3-D cube of diffraction data obtained using Split-Step modeling.

 
pspi3Dtimes
pspi3Dtimes
Figure 7
Time slices through the 3-D diffraction cube (64x64x256) output of the PSPI modeling program. The wraparound is due to non-absorbing boundaries.
view

 
split3Dtimes
split3Dtimes
Figure 8
Time slices through the 3-D diffraction cube (64x64x256) output of the Split-Step modeling program. The wraparound is due to non-absorbing boundaries.
view


previous up next print clean
Next: CONCLUSIONS Up: THE SPLIT-STEP FOURIER MODELING Previous: A 2-D example
Stanford Exploration Project
11/18/1997