Joint simultaneous inversion of PP and PS angle gathers

Abstract

We present a new approach to the joint simultaneous inversion of PP and PS angle gathers for the estimation of Pimpedance, S-impedance and density. Our algorithm is based on three assumptions. The first is that the linearized approximation for reflectivity holds. The second is that PP and PS reflectivity as a function of angle can be given by a set of linearized equations. The third is that the background trend can be described by a linear relationship between the logarithm of P-impedance and both S-impedance and density. Given these three assumptions, we show how a final estimate of P-impedance, S-impedance and density can be found by perturbing an initial low-frequency model. After a description of the algorithm, we then apply our method to both a synthetic and real data set.