The conventional travel-time sensitivity kernel (TSK) is derived using the first-order Born approximation. However, the first-order Rytov approximation is more suitable for the first arrival tomography due to its better behaving for the forward scattering. In this paper, we present a wave-equation based travel-time tomography method, which is derived from the first-order Rytov-approximation to the wave equation. The travel-time sensitivity kernel can be calculated using the well-known RTM-like algorithm. The L2-norm of travel-time residuals is minimized by the Gauss-Newton algorithm. The presented method is applied to the first arrival travel-time inversion. Synthetic examples show that the long-wavelength part of the velocity model can be recovered well.


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