Análise das aproximações RPP e RSP para meios isotrópicos

Abstract

This work presents linear and quadratic approximations of the Zoeppritz equations for the derivation of reflection and transmission coefficients from P-P and P-S events as a function of incidence angles and angular average, as well as the linear inversion analysis, AVO, in respect to the disassociated and combined P-P and P-S reflection events. The use of the so-called pseudoquadratic approximations was applied for the derivation of quadratic approximations only for PPevents, around the average contrasts of compressional and shear waves velocities and Vs/Vp ratio. The results of approximations derived in this work show that quadratic approximations were more precise than the linear ones in the two angular versions. The comparisons between these approximations in terms incidence angle and angular average show that the quadratic approximations are equivalent within the angular limit of [0º to 30º]. In the other hand, the linear approximations as a function of incidence angle are more precise than the linear approximations as a function of the angular average. In the linear inversion, sensitivity and ambiguity analyses were carried out and one could see that in the case of disassociated reflection P-P and P-S events, just a parameter can be estimated and the combination of these events can stabilize the inversion permitting the estimation of two physical parameters for the media (impedance, P-wave velocity and shear bulk module contrasts).