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This paper presents an original algorithm for simulation of seismic waves in models containing geological formations with complex properties such as anisotropy, attenuation, and small-scale inhomogeneities. Each of these structures require special treatment either small gridding or computationally intense models and algorithms. Meanwhile, these formations typically take as few as 25% of the model, thus computationally expensive approaches can be used locally, while efficient algorithm can be applied elsewhere. Proper combination of several techniques allows improving the performance and efficiency of the parallel algorithm, in particular the speed-up of the hybrid algorithm is up to 10 if the formations with the complex properties take about 25 % of the model.