Optimal Zoeppritz approximations

Charles P. Ursenbach

New approximations are developed for RPP and RPS that are optimal in the sense that they preserve as much accuracy as possible with as much simplicity as possible. In particular, they are expressed in a form that is pseudo-linear after the form of the Aki- Richards approximation. Thus they would be very simple to apply in an essentially exact non-linear inversion. Accurate analogues of the two-term Shuey equation are also given for both RPP and RPS.