Approximation of seismic velocities from the spectrum of weighted graphs

Abstract Extracting seismic velocities from recorded data requires converting the shot gathers to mid-point gathers, calculating velocity spectrum, and picking values. In this paper, we propose use graph theory extract values directly gathers. We spectral of a weighted model for approximating velocity. develop regression predict largest eigenvalue representing physical system. The approach is tested on synthetic that represent typical near-surface geological situation. method was able second layer with 99.4% accuracy.