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Nonlinear wave propagation can be described with a purely geometric
parameterization or with a nonlinear material characterization (or both).
The finite strain approach lends itself as a natural extension to
the usual linearly elastic wave propagation description.
A more complicated and maybe more realistic treatment
incorporates a nonlinear stress-strain relationship.
However additional parameters have to be estimated.
The one-dimensional Duffing equation is described and an extension to three
component 3-D data is proposed, mimicing its 1-D counterpart.

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Stanford Exploration Project

11/16/1997