This paper introduces a neural network approach for solving two-dimensional traveltime tomography (TT) problems based on the eikonal equation. The mathematical problem of TT is to recover slowness field medium boundary measurement traveltimes waves going through medium. inverse map high-dimensional and nonlinear. For circular geometry, perturbative analysis shows that forward can be approximate...

This paper tackles the issue of computational load encountered in seismic imaging by Bayesian traveltime inversion. In inference, exploration posterior distribution velocity model parameters requires extensive sampling. The cost this sampling step can be prohibitive when first arrival prediction involves resolution an expensive number forward models based on eikonal equation. We propose to rely...

I exploit the theoretical link between the eikonal equation and Fermat’s principle to derive a variational interpretation of the recently developed method for fast traveltime computations. This method, known as fast marching, possesses remarkable computational properties. Based originally on the eikonal equation, it can be derived equally well from Fermat’s principle. The new variational formul...

The common-reflection surface (CRS) method is a powerful alternative to the traditional commonmidpoint (CMP) stacking, as it enables stacking using more traces than CMP. The CRS method is based on a traveltime that depends on three parameters in the 2D case, and in eight parameters in the 3D case. Traditionally, to keep computational costs low, these parameters are estimated based on a sequence...