||Time-to-depth conversion and seismic velocity estimation using time-migration velocity||
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Our numerical reconstruction of true seismic velocity
in depth-domain coordinates from the Dix velocity
given in the time-domain coordinates
- Step 1.
- Compute the geometrical spreading of the image rays in
the time-domain coordinates from the Dix velocity by solving
equation 14 in 2-D and 20 in 3-D. Then find
from equation 10 in 2-D and
equation 17 in 3-D.
- Step 2.
- Convert the seismic velocity
the time-domain coordinates to the depth-domain coordinates
using the time-to-depth conversion algorithm, which was
presented by Cameron et al. (2007). It is a fast and robust Dijkstra-like
solver motivated by the Fast Marching method (Sethian, 1999,1996).
We performed step 1 in two ways: a finite difference method and
a spectral Chebyshev method.