Waves and vibrations: numerical characterization of heterogeneous media and evolution of the frequency content

Work in this area mainly concerns the identification of randomly heterogeneous media using the recorded wave field. Parallel computational codes are developed to (i) generate realizations of random media; (ii) simulate elastic wave propagation; and (iii) identify parameters of the propagating medium.

  • Numerical simulation of randomly heterogeneous 3D media using random fields.
  • Numerical simulation of elastic wave propagation in random media using the spectral element method.
  • Resolution of elastic wave transport equations using the Monte Carlo method (random walk).
  • Identify the statistical properties of random media using the wave field recorded on the surface.
  • Identification of mechanical properties using the FWI (full waveform inversion) method.

RESOURCES USED

ONGOING PROJECTS

  • PhD thesis by Ningyue SHENG (ministerial grant), directed by Sylvain Fréour, co-supervised by Mathilde Chevreuil and Sharham Khazaie.

INVOLVED RESEARCHERS

  • Mathilde CHEVREUIL
  • Sylvain FREOUR
  • Shahram KHAZAIE
  • Rian SEGHIR

LATEST PUBLICATIONS

  • Khazaie, S. and Cottereau, R., 2020. Influence of local cubic anisotropy on the transition towards an equipartition regime in a 3D texture-less random elastic medium. Wave Motion, 96, p.102574
  • Sheng, N., Khazaie, S., Chevreuil, M. and Fréour, S., 2023. On the statistical behavior of homogenized properties and ultrasonic phase velocities in random polycrystals. International Journal of Solids and Structures, 285, p.112531.
  • Khazaie, S., Wang, X., Komatitsch, D. and Sagaut, P., 2019. Uncertainty quantification for acoustic wave propagation in a shallow water environment. Wave Motion, 91, p.102390.

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