Abstract
SUMMARY WKBJ theory has been widely used to solve wave equations. When the medium is 1-D, it is possible to obtain an approximate analytical expression for the Green’s function of an elastic wave equation in the plane-wave domain using this theory. As the expression is analytical, it is a very efficient way to compute synthetic seismograms. If the medium is also smoothly varying in the lateral directions, the WKBJ theory can be extended to compute the Green’s function for 3-D. This can be achieved by dividing the model parameters into two parts: vertically varying and a small lateral deviation from the vertical. In this paper, we derive an approximate analytical expression for the Green’s function for such 3-D media. The solution is valid for pre-critical waves and can be used to compute the scattered wavefields in 3-D. Synthetic seismograms have been computed for direct waves in 2-D media and are found to be in agreement with the ray theory results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
