Velocity Estimation From Post-stack Seismic Data And Density Log By a Linearized Inversion

We revisit the problem of inversion of post-stack seismic data with a new application and a new approach to regularized inversion. Inversion of post-stack seismic data generally yields reflection coefficients or impedance as a function of two way time. In our application, we have post stack seismic data and density logs at selected locations along a 2D seismic line and we are interested in estimating seismic velocities. This problem causes additional complexity in the model parameter estimation problem in that changes in velocity cause changes in two way travel time and hence, non-linearity is introduced into the problem.