HR: 0800h
AN: S31B-1040 [Abstracts]
TI: Finite-Frequency Sensitivity Kernels for Boundary
Topography Perturbations
AU: * Dahlen, F A
EM: fad@princeton.edu
AF: Department of Geosciences, Princeton University, Princeton, NJ 08544
United States
AB:
Seismic traveltimes are sensitive not only to
three-dimensional wavespeed variations, but also to the topography of internal discontinuity surfaces within the earth. This
sensitivity has been exploited in a number of tomographic investigations, beginning with the largely unsuccessful attempts to
infer the long-wavelength topography of the core-mantle boundary using the ISC-archived traveltimes of {\textit PcP\/} and
{\textit PKP\/} waves. More recent
studies have focused upon the topography of the major
upper-mantle discontinuities and the thickness of the transition zone between 410 and 660 km depth, using the traveltimes of
{\textit SdS\/} and {\textit PdP\/}
bottomside reflections and {\textit Pds\/} conversions.
All of these studies are based upon infinite-frequency
ray theory, which maps a traveltime perturbation to the
topographic perturbation at a single point
on the source-to-receiver geometrical ray.
A number of workers have questioned the applicability
of ray theory to finite-frequency {\textit SdS\/} traveltimes, because the X-shaped Fresnel zones of off-ray sensitivity
are particularly extensive for these minimax-time waves.
In this paper, we use the Born approximation in conjunction
with body-wave ray theory to derive a finite-frequency, boundary-topography Fr\'{e}chet kernel that fully accounts
for the off-ray sensitivity of a transmitted, reflected
or converted wave.
DE: 7260 Theory and modeling
DE: 7203 Body wave propagation
SC: Seismology [S]
MN: 2004 AGU Fall Meeting