Fourth-order finite-difference scheme for P and SV waves propagating in 2D transversely isotropic media

Zhengsheng Yao and Gary F. Margrave


The velocity-stress finite difference scheme formulation for wave propagation through 2D transverse isotropic media is presented. The wave equations are solved by a finite difference scheme of fourth order spatial operators and a second order temporal operator on a staggered grid. The five elastic constants for a transversely isotropic media are explicitly used in the scheme allowing it to model wave propagation in both isotropic and transversely isotropic media with an arbitrary symmetry axis.

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