Simultaneous inversion of pre‐stack seismic data

TLDR

The algorithm relies on three assumptions: a linearized reflectivity approximation, Aki‑Richards angle‑dependence of reflectivity, and a linear relationship between the logarithm of P‑impedance and both S‑impedance and density. The study introduces a new simultaneous pre‑stack inversion technique that estimates P‑impedance, S‑impedance, and density from pre‑stack and optional angle gathers. By perturbing an initial P‑impedance model under the three assumptions, the method derives P‑, S‑impedance, and density estimates, and is demonstrated on synthetic and real data.

Abstract

We present a new approach to the simultaneous pre‐stack inversion of and, optionally, angle gathers for the estimation of P‐impedance, 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 and reflectivity as a function of angle can be given by the Aki‐Richards equations (Aki and Richards, 2002). The third is that there is 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 P‐impedance model. After a description of the algorithm, we then apply our method to both model and real data sets.