Statistical Analysis of the Depth-Velocity Trade-off in Reflection Seismology

arXiv:2601.04328v1 Announce Type: new
Abstract: Seismic interpretation is strongly influenced by the relationship between subsurface layer depth and velocity. Small variations in these parameters can produce almost identical responses, characterizing the depth-velocity trade-off phenomenon. This work proposes a statistical and computational approach to evaluate the extent of this effect through Monte Carlo simulations involving thousands of synthetic models. The analysis consists of generating random depth-velocity pairs, computing travel times, and calculating the root mean square error (RMSE) relative to a reference model. The results show that multiple parameter combinations yield nearly indistinguishable travel times, confirming the existence of broad ambiguity regions. Finally, a two-layer geological velocity model is presented to illustrate the relationship between structure and velocity.

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