A phase-space formulation for elastic-wave traveltime tomography

Tsz Shun Eric CHUNG Jianliang Qian Gunther Uhlmann Hong-Kai Zhao

TBD mathscidoc:1910.43538

Journal of Physics: Conference Series, 124, (1), 012018, 2008
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.
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@inproceedings{tsz2008a,
  title={A phase-space formulation for elastic-wave traveltime tomography},
  author={Tsz Shun Eric CHUNG, Jianliang Qian, Gunther Uhlmann, and Hong-Kai Zhao},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020182303438199067},
  booktitle={Journal of Physics: Conference Series},
  volume={124},
  number={1},
  pages={012018},
  year={2008},
}
Tsz Shun Eric CHUNG, Jianliang Qian, Gunther Uhlmann, and Hong-Kai Zhao. A phase-space formulation for elastic-wave traveltime tomography. 2008. Vol. 124. In Journal of Physics: Conference Series. pp.012018. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020182303438199067.
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