Kinematic inversion of seismic waves in an arbitrary anisotropic background medium
Traditional kinematic inversion of seismic body waves in anisotropic media uses the 'weak anisotropy' assumption and the eigenvectors of the Christoffel equation. This gives rise to a linearised inversion approach which may encounter a singularity problem with the two quasi-shear waves. This paper presents a new iterative, nonlinear kinematic inversion scheme, which does not make such an assumption, and avoids the singularity problem. It is applicable to arbitrary media, specifically those having dipping symmetry axes, a strong anisotropic background (or reference medium), and heterogeneous structure. For the forward modelling, we describe an anisotropic model with the gridded values of the five independent elastic moduli and the orientation angle of the symmetry axis, and apply a robust ray tracing method to compute the raypaths and traveltimes for all three wave modes (qP, qS1, qS2)...
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