Numerical simulation of seismic wave propagation in viscoelastic-anisotropic media using frequency-independent Q wave equation

• DOI: 10.1190/geo2016-0635.1
• Publication Date: 2017-03-17T04:48:18Z
• Authors: Tieyuan Zhu
• Keywords: Transverse isotropy; Seismic anisotropy; Anelastic attenuation factor

Seismic anisotropy is the fundamental phenomenon of wave propagation in earth’s interior. Numerical modeling behavior critical for exploration and global seismology studies. The full elastic (anisotropy) equation often used to model complexity velocity anisotropy, but it ignores attenuation anisotropy. I have presented a time-domain displacement-stress formulation anisotropic-viscoelastic equation, which holds arbitrarily anisotropic [Formula: see text]. frequency-independent text] considered seismic frequency band; thus, mathematically expressed by way fractional time derivatives, are solved using truncated Grünwald-Letnikov approximation. evaluate accuracy numerical solutions homogeneous transversely isotropic (TI) medium comparing with theoretical values calculated from Christoffel equation. results show that angle dependent significantly different attenuation. In synthetic examples, proved its generality feasibility 2D TI inhomogeneous 3D orthorhombic medium.