Linearization Error Polina Zheglova DNOISE Seminar, October 16, - PowerPoint PPT Presentation

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Linearization Error Polina Zheglova DNOISE Seminar, October 16, 2013 1/7 Linearization Error Velocity Model c = v + v v = vr v = v ( z ) is smooth r = r ( z ) is oscillatory random Standard deviation of r is 5% 2/7 Linearization Error

Linearization Error Polina Zheglova DNOISE Seminar, October 16, 2013 1/7 Linearization Error
Velocity Model c = v + δv δv = vr v = v ( z ) is smooth r = r ( z ) is oscillatory random Standard deviation of r is 5% 2/7 Linearization Error
Smooth Background and Oscillatory Perturbation Figure : Left : background model v . Right : perturbation r . 3/7 Linearization Error
Data from Smooth Model / Linearized Data Figure : Left : F [ v ] . Right : F [ v ] r . 4/7 Linearization Error
Oscillatory Background and Smooth Perturbation c = v 1 + δv 1 r 1 = δv 1 v 1 Oscillatory background: v 1 = 95% v + δv Smooth perturbation: δv 1 = 5% v 5/7 Linearization Error
Data from Smooth Model / Linearized Data Figure : Left : F [ v 1 ] . Right : F [ v 1 ] r 1 . 6/7 Linearization Error
Linearization Error Figure : Left : Error for F [ v ] . Right : Error for F [ v 1 ] . 7/7 Linearization Error

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