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Finite‐difference elastic wave propagation in 2D heterogeneous transversely isotropic media 1
Author(s) -
Juhlin Christopher
Publication year - 1995
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1995.tb00284.x
Subject(s) - transverse isotropy , seismogram , isotropy , geology , seismic anisotropy , anisotropy , finite difference , seismic wave , wave propagation , boundary (topology) , finite difference method , geometry , mathematical analysis , physics , seismology , mathematics , optics
The velocity‐stress formulation for propagation of elastic seismic waves through 2D heterogeneous transversely isotropic media of arbitrary orientation is presented. The equations are recast into a finite‐difference scheme and solved numerically using fourth‐order spatial operators and a second‐order temporal operator on a staggered grid. Absorbing, free‐surface and symmetry boundary conditions have been implemented. Test cases compare well with other published solutions. Synthetic seismograms are calculated over two idealized models: (i) vertical fractures in granite with a dolerite sill reflector and (ii) a dipping anisotropic shale. Comparisons with the isotropic counterparts show significant differences which may have to be accounted for in seismic processing in the future.