A new adaptive approach is proposed to create full field geological and hydrodynamic models of the unconventional carbonate reservoirs with heavy oil. In the adaptive geological model, the number of layers of its grid does not exceed the number of layers identified by the results of detailed correlation, while all model parameters are constructed depending on seismic data. The grid of the adaptive hydrodynamic model completely coincides with the geological grid without upscaling. In the adaptive hydrodynamic model, the system of differential equations describing the filtration process is solved according to the rules of the theory of percolation and cellular automata. The adaptive hydrodynamic models are always history matched. Calculation of the adaptive hydrodynamic model allows generating the distribution of remaining oil reserves and reservoir pressure. Using the adaptive hydrodynamic model, it is also possible to evaluate the development strategies of the reservoirs, using the iterative fuzzy-logical method to determine the oil decline rates first, and then to solve the system of equations for the interference of the wells. The proposed adaptive models are not simplified, they are complex and requires practically the same run time as their deterministic analogues. However, the adaptive models are easier and cheaper for users.