Efficient Estimation of Traveltime Upper Bounds Using Fermat's Principle for Enhanced Seismic Imaging

Abstract This paper presents a novel method for estimating the maximum traveltime for seismic rays within a given velocity model. Utilizing Fermat's principle, the method calculates traveltimes along hypothetical straight paths from the source to boundary points and selects the maximum value to establish an optimal traveltime upper bound. Numerical tests on synthetic models validate the method's accuracy and efficiency, significantly reducing computational costs while ensuring precision in seismic imaging processes. The proposed method adapts seamlessly to complex topographies and multi-parameter models, making it a versatile tool for various geological scenarios.