Abstract
A method has been developed to compute seismic reflection traveltimes
in complex 3-D velocity models with complex 3-D reflector geometry.
An existing finite-difference algorithm for calculating first-arrival
traveltimes was modified to handle large, sharp velocity contrasts
properly. The modified algorithm is faster and more accurate than
several alternative schemes, and was incorporated in a procedure
to compute reflection traveltimes. Snell's law for reflections is
used in the vicinity of the reflecting interface. The reflector model
is allowed to vary smoothly in depth, increasing the accuracy compared
with a discretized reflector model. Reflection traveltimes are computed
simultaneously for all revivers, requiring only two applications
of the finite-difference algorithm for each shot. This results in
a significant saving in computation time in comparison with other
algorithms which require one pass of the finite-difference algorithm
for each shot and each receiver. The reflection traveltime procedure
is well suited for incorporation in inversion schemes for 3-D velocity
and reflector structure.
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