2-D non-periodic homogenization of the elastic wave equation: SH case

Details 2-D non-periodic homogenization of the elastic wave equation: SH case 2-D non-periodic homogenization of the elastic wave equation: SH case

Sep 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010geoji.182.1438g&link_type=abstract

Geophysical Journal International, Volume 182, Issue 3, pp. 1438-1454.

Statistics

Computation

2

Numerical Solutions, Seismic Anisotropy, Computational Seismology, Wave Propagation

Scientific paper

In the Earth, seismic waves propagate through 3-D heterogeneities characterized by a large variety of scales, some of them much smaller than their minimum wavelength. The costs of computing the wavefield in such media using purely numerical methods, are very high. To lower them, and also to obtain a better geodynamical interpretation of tomographic images, we aim at calculating appropriate effective properties of heterogeneous and discontinuous media, by deriving convenient upscaling rules for the material properties and for the wave equation.
To progress towards this goal we extend our successful work from 1-D to 2-D. We first apply the so-called homogenization method (based on a two-scale asymptotic expansion of the field variables) to model antiplane wave propagation in 2-D periodic media. These latter are characterized by short-scale variations of elastic properties, compared to the smallest wavelength of the wavefield. Seismograms are obtained using the 0th-order term of this asymptotic expansion, plus a partial first-order correction. Away from boundaries, they are in excellent agreement with solutions calculated at a much higher computational cost, using spectral elements simulations in the reference media. We then extend the homogenization of the wave equation, to 2-D non-periodic, deterministic media.

Affiliated with

Also associated with

No associations

Rating

2-D non-periodic homogenization of the elastic wave equation: SH case 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 2-D non-periodic homogenization of the elastic wave equation: SH case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 2-D non-periodic homogenization of the elastic wave equation: SH case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1495212