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Time-Distance Inversions and Kernels for Ring Diagrams

Time-Distance Inversions and Kernels for Ring Diagrams. Aaron Birch. Outline: TD Inversions Kernels for Ring Diagrams. Motivation. Also holography inversions:. Kosovichev, Zhao et al. Zhao et al., 2001, test inversions. Also Giles comparison with normal- mode inversions.

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Time-Distance Inversions and Kernels for Ring Diagrams

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  1. Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch • Outline: • TD Inversions • Kernels for Ring Diagrams

  2. Motivation Also holography inversions: Kosovichev, Zhao et al.

  3. Zhao et al., 2001, test inversions Also Giles comparison with normal- mode inversions Couvidat et al., compare ray and Born

  4. From S. Korzennik, test inversions

  5. From S. Korzennik, test inversions

  6. Future Work for TD Inversions • Kernels • Green’s functions: exact vs. normal modes • Dependence on source/damping models ? • Regularization • How much & what kind of averaging ? • Magnetic Fields ? • How well does treating B as c work ?

  7. B. Kernels for Ring-Diagrams • Want: • Two steps: • Linear sensitivity of U parameters to power • Linear sensitivity of power to local flows

  8. Example Ring Kernel, l=300,n=4

  9. Blue: slice through kernel Black: 1d undamped model

  10. Future Work for/with Ring Kernels • Inversions of ring data • Joint inversion of time-distance, holography, direct modeling, and ring data, have uniform theoretical treatment • Model systematic effects (e.g. line of sight, Postel remapping) ?

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