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Early-arrival waveform inversion for near-surface velocity and anisotropic parameters: modeling and sensitivity kernel analysis

Xukai Shen


Understanding the relationships between vertical velocity, anisotropic parameters $ \epsilon$ , $ \delta$ and traveltime is important both for parametrization of waveform inversion and proper interpretation of waveform inversion results. Forward modeling indicates that traveltime is more sensitive to vertical velocity and $ \epsilon$ than to $ \delta$ . This suggests that $ \delta$ may be fixed during an inversion for vertical velocity and $ \epsilon$ . When vertical velocity and $ \epsilon$ are directly parametrized, $ \epsilon$ changes little during the inversion. A more balanced sensitivity kernel can be obtained by using different parametrizations, such as the vertical and horizontal velocities, or the logarithms of slowness and $ \epsilon$ .