Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy

François Desquilbet and Jian Cao and Paul Cupillard and Ludovic Métivier and Jean-Marie Mirebeau. ( 2021 )
in: Journal of Scientific Computing, 89 (Article 23)

Abstract

We present a numerical method for computing the first arrival time of seismic waves in media defined by a general Hooke tensor, in contrast with previous methods which are limited to a specific subclass such as the "tilted transversally isotropic" (TTI) model or "tilted orthorhombic" (TOR) model [WYF15, LBBMV19]. Our method proceeds in a single pass over the discretized domain, similar to the Fast Marching method, whereas existing methods for these types of anisotropies require multiple iterations, similar to the Fast Sweeping method. We introduce a new source factorization model, allowing us to achieve third order accuracy in smooth test cases. We also validate our solver by comparing it with the solution of the elastic wave equation on a 3D medium with general anisotropy.

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BibTeX Reference

@article{desquilbet:hal-03244537,
 abstract = {We present a numerical method for computing the first arrival time of seismic waves in media defined by a general Hooke tensor, in contrast with previous methods which are limited to a specific subclass such as the "tilted transversally isotropic" (TTI) model or "tilted orthorhombic" (TOR) model [WYF15, LBBMV19]. Our method proceeds in a single pass over the discretized domain, similar to the Fast Marching method, whereas existing methods for these types of anisotropies require multiple iterations, similar to the Fast Sweeping method. We introduce a new source factorization model, allowing us to achieve third order accuracy in smooth test cases. We also validate our solver by comparing it with the solution of the elastic wave equation on a 3D medium with general anisotropy.},
 author = {Desquilbet, Fran{\c c}ois and Cao, Jian and Cupillard, Paul and M{\'e}tivier, Ludovic and Mirebeau, Jean-Marie},
 doi = {10.1007/s10915-021-01607-8},
 hal_id = {hal-03244537},
 hal_version = {v3},
 journal = {{Journal of Scientific Computing}},
 keywords = {fast marching schemes ; travel-time computation ; Eikonal equation ; anisotropy ; 3D},
 month = {September},
 pages = {Article 23},
 pdf = {https://hal.science/hal-03244537v3/file/Manuscript.pdf},
 publisher = {{Springer Verlag}},
 title = {{Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy}},
 url = {https://hal.science/hal-03244537},
 volume = {89},
 year = {2021}
}