VTI migration velocity analysis using RTM |

Then the adjoint state equations are obtained by taking the derivative of with respect to state variables , and :

Equation 25, 26, 27 are the adjoint-state equations. Variables and are the adjoint-state fields and the solution of the adjoint-state equations 25 and 26. Variable is the scaled image slice at the subsurface offset .

Now the gradient of the objective function 15 with respect to velocity is:

If we combine equations 25, 26, and 27 with equation 28, we will arrive at the same solution as in the previous section.

VTI migration velocity analysis using RTM |

2012-05-10