Inversion of Multicomponent Seismic Data for VTI Medium Using the Globalized Nelder-Mead Optimization Algorithm

The velocity analysis is a fundamental step of seismic reflection, and can be performed fitting the calculated hyperbolic curve to the observed one. The conventional seismic where it is studied PP wave reflection events (hyperbolic events) have some limitations to imaging through gas clouds. The joint P and S wave processing presented better results than the conventional seismic. However, a PS wave reflection event and the effects of a stratified medium can generate a nonhyperbolic event, what demands the use of multiparametric approximations which can characterize the nonhyperbolicity of an event. An analysis was accomplished aiming to evaluate the efficiency and the complexity of different approaches used to execute the velocity analysis of a stratified media with a limestone reservoir saturated by gas. The analysis was considered an inverse problem according an optimization criterion. Studying the complexity of the objective function we could determine the one which take more time to execute the inversion routine. Then, with the analysis of the residual travel-time we could identify the best curve fitting and the most efficient approximation to perform the velocity analysis of the model.