Solving Traveltime Tomography with Deep Learning

نویسندگان

چکیده

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 approximated by vectorized convolution operator in angular direction. Motivated this filtered back-projection, we propose an effective architecture using recently proposed BCR-Net, with weights learned from training datasets. Numerical results demonstrate efficiency networks.

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ژورنال

عنوان ژورنال: Communications in mathematics and statistics

سال: 2023

ISSN: ['2194-671X', '2194-6701']

DOI: https://doi.org/10.1007/s40304-022-00329-z