A tracing waves method for the construction of seismic propagators

• Autores: Hélène Barucq, B. Duquet, F. Prat
• Localización: VIII Journées Zaragoza-Pau de Mathématiques Appliquées et de Statistiques / coord. por Manuel Pedro Palacios Latasa, David Trujillo, Juan José Torrens Iñigo, Monique Madaune-Tort, María Cruz López de Silanes Busto, Gerardo Sanz Sáiz, 2003, ISBN 84-7733-720-9, págs. 439-448
• Idioma: inglés
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• Resumen

  • This work is concerned with a micro-local method for solving the direct problem of acoustic waves scattering in a complex medium. Pseudo-differential theory is used to decompose the scattering problem into a one-way model which accounts for the reflections and transmissions due to the variations of the medium velocity. Then, the multiple reflections can be taken into account and they can be computed separately. This is very interesting in case of imaging processes because the multiple reflections play the role of scrambling the results and a separate computation of multiples is not possible when using finite difference or finite element methods. The numerical solution involves FFTs and the resulting computational burden is lower than the one required by finite difference or finite element techniques.