Palaeozoic carbonate rocks are widely distributed in China. The storage spaces of these carbonate reservoirs are mainly secondary and include dissolution caves, holes, and fractures. The original porosity is less than 1% in most formations. Hydrocarbon distribution is controlled by the systems of fractures and caves, which have a quasi-layered shape. The reservoir media are heterogeneous (caves and holes) and have varying degrees of anisotropy degree (fractures). So it is important to evaluate the heterogeneity and to check the accuracy of anisotropy inversion.