Full wave methods for anisotropic stratified media

1985 ◽  
pp. 550-582
1972 ◽  
Vol 50 (24) ◽  
pp. 3132-3142 ◽  
Author(s):  
E. Bahar

Full wave solutions are derived to the problem of radio wave propagation in stratified media with non-uniform boundaries and varying electromagnetic parameters. The analysis employs a complete set of forward and backward travelling waves. The continuous parts of the wavenumber spectrum constitute the radiation field and the lateral waves, and the discrete part of the spectrum is identified as the surface wave term. The solutions are not restricted by the approximate surface impedance concept and the source and receiver can be situated on opposite sides of the interface. Exact boundary conditions are imposed and the solutions are shown to be consistent with the reciprocity relationships.


Geophysics ◽  
1990 ◽  
Vol 55 (11) ◽  
pp. 1504-1507 ◽  
Author(s):  
John E. Vidale ◽  
Heidi Houston

The ability to calculate traveltimes and amplitudes of seismic waves is useful for many reflection seismology applications such as migration and tomography. Traditionally, ray tracing (C⁁erveny et al., 1977; Julian, 1977), paraxial methods (Claerbout, 1971), or full‐wave methods (Alterman and Karal, 1968) are used for such calculations. These methods have in common considerable computational expense. Recently, Vidale (1988, 1990a) presented two‐dimensional and three‐dimensional methods to efficiently compute traveltimes of the first arrivals to every point in a regularly spaced grid of points, given an arbitrary velocity field sampled at these points. The computational cost of finding each traveltime is roughly one square root operation.


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