Elastodynamic Full Wavefield Modeling using a Power- Flux Normalisation Scheme

Abstract

We extend in this chapter the full wave-field modeling method to the elastodynamic situation. While, the acoustic case encompasses directional decomposition — where up-going and downgoing wavefields are modeled in addition to modal decomposi- tion, through which heterogeneity is properly handled — the elastodynamic case en- compasses one additional type of decomposition; the one related to polarizations, where the wavefield is separated into its constituent polarizations: quasi-P, quasi-SV, and quasi-SH waves. All three types of decomposition are present in the equations given in this chapter. Although we begin with the most general form of equations for anisotropic inhomogeneous media, we reduce those equations to the isotropic case, and we consider only P-SV waves for simplicity. We implement only the squared wavenumber operator, whose implementation closely resembles that of the acoustic case.