Inversion From Finite Offset Data and the Simultaneous Reconstruction of the Velocity and Density Profiles*

Recursive inversion algorithms are described which facilitate (a) a direct inversion of a one‐dimensional velocity distribution from finite offset data and (b) the related simultaneous reconstruction of a two‐parameter, say velocity‐density, medium. The suggested procedures are based on an extended format of the WKBJ‐Bremmer scattering model. The attained accuracy levels and the limitations are highlighted by computer simulations against synthetic data.