Travel time computations using a compact eikonal equation for vertical transverse isotropic media
P. Moghaddam, R. Khajavi and H. Keers
Journal name: Geophysical Prospecting
Issue: Vol 66, No 8, October 2018 pp. 1475 - 1484
Info: Article, PDF ( 6.44Mb )
Eikonal solvers often have stability problems if the velocity model is mildly heterogeneous. We derive a stable and compact form of the eikonal equation for P-wave propagation in vertical transverse isotropic media. The obtained formulation is more compact than other formulations and therefore computationally attractive. We implemented ray shooting for this new equation through a Hamiltonian formalism. Ray tracing based on this new equation is tested on both simple as well as more realistic mildly heterogeneous velocity models.We show through examples that the new equation gives travel times that coincide with the travel time picks from wave equation modelling for anisotropic wave propagation.