cora, nwra, inc. 7/18/2005 time-distance inversions and kernels for ring diagrams aaron birch...
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![Page 1: CoRA, NWRA, Inc. 7/18/2005 Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch Outline: A.TD Inversions B.Kernels for Ring Diagrams](https://reader036.vdocuments.mx/reader036/viewer/2022062423/56649d645503460f94a46de8/html5/thumbnails/1.jpg)
7/18/2005CoRA, NWRA, Inc.
Time-Distance Inversions and Kernels for Ring Diagrams
Aaron Birch
Outline:A.TD InversionsB.Kernels for Ring Diagrams
![Page 2: CoRA, NWRA, Inc. 7/18/2005 Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch Outline: A.TD Inversions B.Kernels for Ring Diagrams](https://reader036.vdocuments.mx/reader036/viewer/2022062423/56649d645503460f94a46de8/html5/thumbnails/2.jpg)
7/18/2005CoRA, NWRA, Inc.
Motivation
Kosovichev, Zhao et al.
Also holography inversions:
![Page 3: CoRA, NWRA, Inc. 7/18/2005 Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch Outline: A.TD Inversions B.Kernels for Ring Diagrams](https://reader036.vdocuments.mx/reader036/viewer/2022062423/56649d645503460f94a46de8/html5/thumbnails/3.jpg)
7/18/2005CoRA, NWRA, Inc.Couvidat et al., compare ray and Born
Also Giles comparison with normal-mode inversions
Zhao et al., 2001, test inversions
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7/18/2005CoRA, NWRA, Inc.From S. Korzennik, test inversions
![Page 5: CoRA, NWRA, Inc. 7/18/2005 Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch Outline: A.TD Inversions B.Kernels for Ring Diagrams](https://reader036.vdocuments.mx/reader036/viewer/2022062423/56649d645503460f94a46de8/html5/thumbnails/5.jpg)
7/18/2005CoRA, NWRA, Inc.From S. Korzennik, test inversions
![Page 6: CoRA, NWRA, Inc. 7/18/2005 Time-Distance Inversions and Kernels for Ring Diagrams Aaron Birch Outline: A.TD Inversions B.Kernels for Ring Diagrams](https://reader036.vdocuments.mx/reader036/viewer/2022062423/56649d645503460f94a46de8/html5/thumbnails/6.jpg)
7/18/2005CoRA, NWRA, Inc.
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 ?
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7/18/2005CoRA, NWRA, Inc.
B. Kernels for Ring-Diagrams
• Want:
• Two steps:– Linear sensitivity of U
parameters to power– Linear sensitivity of
power to local flows
)()( xvxdxKU jiji
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7/18/2005CoRA, NWRA, Inc.
Example Ring Kernel, l=300,n=4
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7/18/2005CoRA, NWRA, Inc.
Blue: slice through kernelBlack: 1d undamped model
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7/18/2005CoRA, NWRA, Inc.
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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7/18/2005CoRA, NWRA, Inc.