AVO inversion through iteration of direct nonlinear inverse formulas

Tiansheng Chen, Kristopher A. Innanen

Linear AVO inversion technique has been used widely in industry to invert elastic parameter. In this paper, we put forward a new inversion through iteration of direct nonlinear inverse formulas. Following the workflow presented by Innanen (Innanen 2011),I expand the reflection coefficient of PP wave and PS wave as function of elastic parameters contrast at third order. Those formulae can be used to invert elastic parameter by use of AVO series reversion method or Gauss-Newton iteration method. To solve the local convergence problem of Gauss-Newton iteration method, we introduce the first or second AVO series reversion result as the initial value. All of the experiments illustrate that reconstruction of constraints from Gauss-Newton iteration of direct nonlinear inverse formulas is more accurate and faster.