Statistics – Computation
Scientific paper
May 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010geoji.181..897c&link_type=abstract
Geophysical Journal International, Volume 181, Issue 2, pp. 897-910.
Statistics
Computation
1
Computational Seismology, Wave Scattering And Diffraction, Wave Propagation
Scientific paper
When considering numerical acoustic or elastic wave propagation in media containing small heterogeneities with respect to the minimum wavelength of the wavefield, being able to upscale physical properties (or homogenize them) is valuable mainly for two reasons. First, replacing the original discontinuous and very heterogeneous medium by a smooth and more simple one, is a judicious alternative to the necessary fine and difficult meshing of the original medium required by many wave equation solvers. Second, it helps to understand what properties of a medium are really `seen' by the wavefield propagating through, which is an important aspect in an inverse problem approach. This paper is an attempt of a pedagogical introduction to non-periodic homogenization in 1-D, allowing to find the effective wave equation and effective physical properties, of the elastodynamics equation in a highly heterogeneous medium. It can be extrapolated from 1-D to a higher space dimensions. This development can be seen as an extension of the classical two-scale homogenization theory applied to the elastic wave equation in periodic media, with this limitation that it does not hold beyond order 1 in the asymptotic expansion involved in the classical theory.
Capdeville Yann
Guillot Laurent
Marigo Jean-Jacques
No associations
LandOfFree
1-D non-periodic homogenization for the seismic wave equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with 1-D non-periodic homogenization for the seismic wave equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 1-D non-periodic homogenization for the seismic wave equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-790751