Nearly constant <i>Q</i> models of the generalized standard linear solid type and the corresponding wave equations

Time-domain seismic forward and inverse modeling for a dissipative medium is vital research topic to investigate the attenuation structure of Earth. Constant Q, also called frequency independence quality factor, common assumption Q inversion. We propose first- second-order nearly constant models generalized standard linear solid type, using novel Q-independent weighting function approach. The two new models, which originate from Kolsky model (a model) Kjartansson (an exactly model), result in corresponding wave equations differential form. Even extremely strong (e.g., = 5), factor phase velocity are close those range interest. involve explicitly specified parameter have compact simple forms. provide perspective on how build beneficial time-domain large scale wavefield modeling. This could help obtain other with similar advantages. discuss extension beyond viscoacousticity related issues, example, extending viscoelastic anisotropy.