Time-to-depth conversion and seismic velocity estimation using time-migration velocity |

where is the left-hand side of equation 11. As in 2-D, we rewrite system 9 in the time-domain coordinates . Then we get

where is given by equation 17, and the gradients are taken with respect to . Then the PDE for is

The initial conditions are , . The required input is well-approximated by the squares of the Dix velocity obtained from the 3-D prestack time migration. We emphasize that despite the fact that is a matrix in 3-D, scalar data are enough for its computation.

Time-to-depth conversion and seismic velocity estimation using time-migration velocity |

2013-03-02