Abstract
We present a procedure that solves the eikonal equation for general anisotropic media. It allows one to incorporate arbitrary shapes and types of anisotropic formations. We use an expanding-wavefront scheme and explicit tracking of group velocity propagation directions to choose the causal upgrade stencils for computing traveltime. The method is of first degree in accuracy and is unconditionally stable. The relative traveltime errors are controlled mainly by initial wavefront formation and by the choice of the update stencils. We illustrate the method’s ability to generate smoothly changing qP traveltimes in models of arbitrary anisotropy.
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