A phase-space formulation for elastic-wave traveltime tomography
Abstract
We adopt a recent work in Chung, Qian, Uhlmann and Zhao (Inverse Problems, 23(2007) 309-329) to develop a phase space method for reconstructing pressure wave speed and shear wave speed of an elastic medium from travel time measurements. The method is based on the so-called Stefanov-Uhlmann identity which links two Riemannian metrics with their travel time information. We design a numerical algorithm to solve the resulting inverse problem. The algorithm is a hybrid approach that combines both Lagrangian and Eulerian formulations. In particular the Lagrangian formulation in phase space can take into account multiple arrival times naturally, while the Eulerian formulation for wave speeds allows us to compute the solution in physical space. Numerical examples are shown to validate the method.
Additional Information
© 2008 IOP Publishing. Accepted papers received: 16 July 2008 Published online: 21 August 2008 Qian is supported by NSF #0542174, Uhlmann is partially supported by NSF and the Walker Family Endowed Professorship, and Zhao is partially supported by NSF #0513073, ONR Grant #N00014-02-1-0090 and DARPA Grant #N00014-02-1-0603.Attached Files
Published - CHUjpcs08.pdf
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Additional details
- Eprint ID
- 14323
- Resolver ID
- CaltechAUTHORS:20090528-075513313
- 0542174
- NSF
- 0513073
- NSF
- N00014-02-1-0090
- Office of Naval Research
- N00014-02-1-0603
- Defense Advanced Research Projects Agency
- University of Washington
- Created
-
2009-08-13Created from EPrint's datestamp field
- Updated
-
2022-07-12Created from EPrint's last_modified field
- Series Name
- Journal of Physics