Simultaneous Inversion of cross-dipole acoustic waveforms in anisotropic media for azimuthal angle and dispersion of fast and slow shear waves

Abstract

A method to jointly invert for azimuthal angle and dispersion relations from cross-dipole data is presented. Dispersion curves from the joint inversion are compared to both Prony’s method and a simple back propagation schema and an agrrement is found. The azimuthal angle estimate is shown to differ from a frequency domain rotaion that takes no account of dispersion within the waveforms indicating the importance of joint inversion.