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Thursday, March 5 • 15:15 - 17:15
Poster: 'Variable Projection Method for Extended Born Waveform Inversion with Shot Coordinate Model Extension,' Yin Huang, Rice University

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The model of the earth is separated into the smooth long scale background model and the short scale model. Model extension allows the short scale model to depend on shot coordinate. Extended Born modeling is linear in the short scale model and nonlinear in the background model. The objective function of extended Born waveform inversion is the least squares misfit function of extended Born modeling plus a differential semblance term. Local optimization method directly applied to this objective function suffers from cycle skipping problem as classic full waveform inversion does.

In this poster, we use a variable projection method to eliminate the short scale model and obtain a smooth objective function over the background model, which is called a reduced problem. The same optimization method applied to this reduced problem converges faster than the original problem and does not suffer from cycle skipping problem.

Inversion examples using Marmousi model with acoustic constant density modeling illustrates that the reduced problem could converge to a reasonably good background velocity, while the original objective function does not seem to converge after the same time of computation, which suggests that this variable projection has the ability to overcome cycle skipping problem.


Thursday March 5, 2015 15:15 - 17:15 CST
BioScience Research Collaborative 6500 Main Street, Houston, Tx 77005