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- Title
Anisotropic viscoacoustic wave modelling in VTI media using frequency-dependent complex velocity.
- Authors
Zhang, Yabing; Liu, Yang; Xu, Shigang
- Abstract
Under the conditions of acoustic approximation and isotropic attenuation, we derive the pseudo- and pure-viscoacoustic wave equations from the complex constitutive equation and the decoupled P-wave dispersion relation, respectively. Based on the equations, we investigate the viscoacoustic wave propagation in vertical transversely isotropic media. The favourable advantage of these formulas is that the phase dispersion and the amplitude dissipation terms are inherently separated. As a result, we can conveniently perform the decoupled viscoacoustic wavefield simulations by choosing different coefficients. In the computational process, a generalised pseudo-spectral method and a low-rank decomposition scheme are adopted to calculate the wavenumber-domain and mixed-domain propagators, respectively. Because low-rank decomposition plays an important role in the simulated procedure, we evaluate the approximation accuracy for different operators using a linear velocity model. To demonstrate the effectiveness and the accuracy of our method, several numerical examples are carried out based on the new pseudo- and pure-viscoacoustic wave equations. Both equations can effectively describe the viscoacoustic wave propagation characteristics in vertical transversely isotropic media. Unlike the pseudo-viscoacoustic wave equation, the pure-viscoacoustic wave equation can produce stable viscoacoustic wavefields without any SV-wave artefacts.
- Subjects
SOUND waves; WAVENUMBER; LINEAR velocity; ATTENUATION of seismic waves; OIL saturation in reservoirs
- Publication
Journal of Geophysics & Engineering, 2020, Vol 17, Issue 4, p700
- ISSN
1742-2132
- Publication type
Article
- DOI
10.1093/jge/gxaa023