Thomsen-type parameters and attenuation coefficients for constant-<i>Q</i> transverse isotropy

Transversely isotropic (TI) media with the frequency-independent quality-factor elements (also called “constant- Q” transverse isotropy) are often used to describe attenuation anisotropy in sedimentary rocks. The coefficients constant- Q TI models can be conveniently defined terms of Thomsen-type attenuation-anisotropy parameters. Recent research indicates that not all those parameters for such frequency-independent. Here, we present concise analytic formulas Kjartansson’s model and show one them ([Formula: see text]) varies frequency. expression [Formula: text] helps evaluate frequency dependence normalized P- SV-waves by introducing newly “dispersion factors.” These factors expressed Thomsen at a specified reference Viscoacoustic isotropy is also discussed as special case, which elliptical condition simplified expressions derived. Our results that, presence significant absorption, vary oblique propagation respect symmetry axis. This variation needs taken into account when applying spectral-ratio method other attenuation-analysis techniques.