CONCLUSIONS

Using a discrete physical system as a guide for discretizing the wave equation, I have derived an alternative 2-D transverse-isotropic modeling scheme that might provide more accurate wavefield simulations for blocky-like models than the usual stress-strain methods. This scheme uses equivalent medium theory to construct a bridge between differential and difference equations. The method was implemented efficiently in a parallel architecture using spatial differential operators of different orders depending on whether they are applied to wavefields or elastic parameters. Two examples show the results of the application of this modeling scheme to physical models with distinct characteristics. These results illustrate the stability and accuracy of the method.