Mixed-grid finite-difference frequency-domain viscoacoustic modeling in 2D TTI anisotropic media

S. Operto (1) , A. Ribodetti (1) , M. Grini (1) , J. Virieux (1)

1 GEOAZUR 6526 - Géoazur

We present a 2D finite-difference frequency-domain method for modeling viscoacoustic wave propagation in TTI media. The numerical method relies on a parsimonious staggered-grid method implemented in the frequency domain. Differential operators are discretized along different rotated coordinate systems (the classic Cartesian one and a 45° rotated one) with second-order accurate staggered-grid stencils. The resulting discrete operators are combined linearly to mitigate numerical anisotropy. An anti-lumped mass strategy is applied to mitigate numerical dispersion. A dispersion analysis for infinite homogeneous media suggests a discretization rule of 5 grid points per wavelength. Numerical tests confirm the accuracy of the stencil.

Domaines: Sciences de la Terre

S. Operto, A. Ribodetti, M. Grini, J. Virieux. Mixed-grid finite-difference frequency-domain viscoacoustic modeling in 2D TTI anisotropic media. The Society of Exploration Geophysicists (SEG 2007), Sep 2007, San Antonio, United States. pp.2099, ⟨10.1190/1.2792903⟩. ⟨hal-00408497⟩