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Big Ray Tracing and Eikonal Solver on Unstructured Grids : Application to the Computation of a Multi-valued Travel-time Field in the Marmousi Model

Remi Abgrall Jean-David Benamou 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : We present in this paper the numerical computation of the multi-valued travel-time field generated by a point source experiment in the Marmousi model. Two recently developed methods are combined to achieve this goal : a method called big ray tracing, used for the computation of multi-valued travel-time fields, and an eikonal solver designed to work on unstructured meshes.\\ Big ray tracing is based on a combination of ray tracing and local solutions of the eikonal equation. A classical ray tracing first 'discretizes' the phase space and defines local zones which possibly overlap where the travel-time field is multi-valued. An eikonal solver then computes the travel-time in these zones called big rays. It acts as an exact interpolator between rays associated to different branches of the travel-time field. The geometry of the big rays may be complicated and is best discretized using unstructured meshes. An eikonal solver designed to work on unstructured meshes is used.
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https://hal.inria.fr/inria-00073675
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Submitted on : Wednesday, May 24, 2006 - 1:28:59 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
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Remi Abgrall, Jean-David Benamou. Big Ray Tracing and Eikonal Solver on Unstructured Grids : Application to the Computation of a Multi-valued Travel-time Field in the Marmousi Model. [Research Report] RR-3019, INRIA. 1996. ⟨inria-00073675⟩

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