'Shortest path' ray tracing for most general 2D/3D anisotropic media
This paper presents a simple method for seismic ray tracing in a general anisotropic medium, which may include complex structures and compound materials, such as water, isotropic and anisotropic rocks, fine-layers and parallel small cracked blocks. The anisotropy may be defined by up to 21 density-normalized elastic moduli which vary with spatial position. The method presented is a direct extension of the irregular network 'shortest path' method for an isotropic solid. For this extension, we first apply analytic solutions of the wave velocities (phase velocity and group velocity) for a general anisotropic medium as a 'transform' or 'mapping' operator to convert the elastic-moduli-described medium into the direction-dependent group-velocity models for the three independent wave modes (qP, qS1, qS2). We then utilize the 'shortest path' method to trace raypaths through such group-velocity models for the three modes...
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