Abstract
A new approximation (direct approximation) for the relative geometric spreading of qP-waves in a layered transversely isotropic medium uses three traveltime parameters: two-way vertical traveltime, normal-moveout velocity, and the heterogeneity coefficient. These traveltime parameters, which can be estimated in velocity analysis, enter the parameters of geometric-spreading approximation. The new approximation is based on the acoustic approximation for a single-layer vertical transversely isotropic (VTI) medium with coefficients defined from Taylor expansion and asymptotic behavior at infinite offset. The acoustic approximation is used to reduce the number of parameters and to make the expression for the direct geometric-spreading approximation similar to a well-known traveltime approximation. The same traveltime parameters also allow for an independent approximation of the radiation pattern. Two numerical tests (single-layer and multilayered VTI models) prove that the new approximation is more accurate than standard approximations based on shifted hyperbola or two rational approximations.
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.
