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The kinematics of the wavefield are not affected by the introduction of a
short operator to compute the model derivatives nor by using equivalent
medium theory in the evaluation of the spatial operator. I introduced these
changes to better simulate the dynamics of the
wave-propagation problem. A simple model with horizontal layers was used
to compare the dual-operator approach with a traditional finite-difference
algorithm, and with an elastic modeling algorithm based on the
Haskell-Thomson propagator-matrix method (Aki and Richards, 1980), which
is restricted to horizontally-layered models.
To test the stability and accuracy of these three schemes in extreme
conditions, a water layer was placed at the top of the model.

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Stanford Exploration Project

11/18/1997