We train a neural network by minimizing a loss function formed by the misfit of the observed and predicted traveltimes, and the eikonal residual term. The hypocenter estimation is given by the location of the minimum of the PINN predicted traveltimes in the entire computational domain.
References
Yildirim, I. E., Waheed, U. b., Izzatullah, M., and Alkhalifah, T., 2022, "PINNhypo: Hypocenter Localization Using Physics Informed Neural Networks", submitted to the 83rd EAGE Annual Conference and Exhibition.