Vector Wave Reciprocity
Next Page: Introduction
Abstract:
If reciprocity principles are invoked in seismic data processing
algorithms, one has to make sure that those processes maintain reciprocity.
I outline briefly the derivation of reciprocity principles for elastic wave
equations and show that discretized or approximated wave equations
can lose symmetry properties and thus reciprocities. This effect is
important if one is concernd about true-amplitude processes
and if one needs to use
reciprocity arguments. I show an example of an elastic
finite-difference approximation to the wave equation
that is not reciprocal, but can be made reciprocal
by symmetrizing the Green's function kernel properly.