Equation 11 can be rewritten in the following form
is the left-hand side of equation 11.
As in 2-D, we rewrite system 9 in the time-domain
. Then we get
is given by equation 17, and the gradients
are taken with respect to
Then the PDE for
The initial conditions are
The required input
by the squares of the Dix velocity obtained
from the 3-D prestack time migration.
We emphasize that despite the fact that
matrix in 3-D, scalar data are enough for its computation.
Time-to-depth conversion and seismic velocity estimation using time-migration velocity